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UFL/COEL-TR/091
SIMULATION AND ANALYSIS OF SEDIMENT
RESUSPENSION OBSERVED IN OLD TAMPA BAY,
FLORIDA
by
David H. Schoellhamer
and
Y. Peter Sheng
1993
REPORT DOCUMENTATION PAGE
1. Report No. 2. 3. Recipient's Accessioo o.
UFL/COEL-TR/091
4. Title and Subtitle 5. Report Date
Simulation and Analysis of Sediment Resuspension April 1993
observed in Old Tampa Bay, Florida 6.
7. Author(s) S. Performing Orfgniztion Report No.
David H. Schoellhamer and Y. Peter Sheng UFL/COEL-TR/091
9. Perforting Organizatio ameo and Address 10. Project/Task/Mork Unit No.
University of Florida
Obastal & Oceanographic Engineering 11 Contract or Grant o.
11. Contract or Grant No.
336 Weil Hall
Gainesville, FL 32611 Rep
13. Type of lport
12. Sponsoring Organizetion Name nd Address
14.
15. Supplementary otes
16. Abtsract
Estuarine sediments may limit light availability for photosynthesis, supply
nutrients to the water column, and affect the fate of contaminants in estuaries,
including Old Tampa Bay, Florida. These adverse impacts are enhanced when bottom
sediments are resuspended into the water column. Sediment resuspension was
intermittently monitored in Old Tampa Bay from 1988 to 1990. The data indicates that
net sediment resuspension is caused by depth-transitional wind-waves that are generated
by strong and sustained winds associated with storm systems and not tidal currents.
The bottom roughness regime in Old Tampa Bay is transitional between the smooth and
rough limits.
A vertical one-dimensional numerical model was modified and used to help
interpret the Old Tampa Bay sediment resuspension data. The model was modified to
simulate low Reynolds number flows, multiple wave frequencies, variable bottom
roughness regimes, and spatially-averaged grain shear stress. The model successfully
simulated steady flow profiles with laminar, transitional, and turbulent regions and
turbulent dissipation in the marine surface layer. Simulated shear stresses are in
agreement with observed critical conditions for sediment motion for combined wave and
current motion on the continental shelf. Wave spectra observed in Old Tampa Bay and
simulations of the sediment resuspension data indicate that formation of large
(continued on back)
17. Originator's gey Uords 18. Availability Stateent
Sediment Resuspension, Numerical Simulation,
Tampa Bay
19. U. S. Security Classif. of the Report 20. U. S. Security Classif. of This Page 21. No. of pages ;2. Price
Unclassified Unclassified 262
UFL/COEL-TR/091
SIMULATION AND ANALYSIS OF SEDIMENT RESUSPENSION
OBSERVED IN OLD TAMPA BAY, FLORIDA
by
David H. Schoellhamer
and
Y. Peter Sheng
Coastal & Oceanographic Engineering Department
University of Florida
Gainesville, FL 32611
1993
TABLE OF CONTENTS
page
ACKNOWLEDGEMENTS................................................ iii
LIST OF TABLES.................................................. vi
LIST OF FIGURES................................................. viii
KEY TO SYMBOLS.................................................. x
ABSTRACT ........................................................ xvi
CHAPTERS
1 INTRODUCTION............................................... 1
Significance of Estuarine Sediments....................... 4
Sediment Transport Processes................................ 8
Initiation of Motion of Bed Sediments................... 8
Bed Load Transport....................................... 15
Erosion and Bottom Shear Stress......................... 16
Suspended Load Transport................................. 24
Flocculation and Aggregation .............................. 26
Settling and Deposition.................................. 27
Other Bed and Near-bed Factors........................... 31
Field Studies Related to Estuarine Sediment Transport..... 35
Numerical Models Applicable to
Estuarine Sediment Transport.............................. 43
Relation of this Research to Previous Studies.............. 49
2 SEDIMENT RESUSPENSION DATA COLLECTION METHODOLOGY......... 52
Study Area ................................................ 52
Sediment Resuspension Monitoring Sites.................... 54
Old Tampa Bay Instrumentation Platform.................... 56
Calibration and Output of Electromagnetic Current Meters.. 63
Response Threshold and Biological Interference of
OBS Sensors............................................. 66
Water Sample Collection................................... 68
Instrument Deployment Strategies........................... 69
3 SEDIMENT RESUSPENSION DATA AND ANALYSIS................... 70
March 1990 Storm......................................... 73
November 1990 Storm...................................... 84
Tropical Storm Keith...................................... 90
Tropical Storm Marco ...................................... 94
Implications for Numerical Modeling......................... 96
4 NUMERICAL MODEL........................ .................. 98
Momentum and Transport Equations.......................... 102
Turbulence Closure....................................... 106
Nondimensional Equations................................... 112
Steady State Conditions................................... 116
Wave-Induced Pressure Gradients ........................... 117
Bottom Shear Stress and Erosion............................ 119
Suspended-Sediment Stratification......................... 122
5 NUMERICAL SIMULATIONS OF THE MARINE SURFACE LAYER
AND CRITICAL SHEAR STRESSES ON CONTINENTAL SHELVES...... 123
Simulation of Turbulence in the Marine Surface Layer...... 123
Critical Shear Stresses Observed on Continental Shelves... 126
6 OLD TAMPA BAY NUMERICAL SIMULATION RESULTS................ 138
Steady Flow Simulation.................................... 138
Reproduction of Energy Spectra of Observed Currents....... 142
Simulated Shear Stresses.................................. 144
Old Tampa Bay Suspended-Sediment Simulation Procedure..... 154
Old Tampa Bay November 1990 Suspended-Sediment
Calibration Simulation.................................. 161
Old Tampa Bay March 1990 Suspended-Sediment
Validation Simulation.................................... 166
Old Tampa Bay March 1990 Suspended-Sediment
Improved Simulation..................................... 171
Old Tampa Bay November 1990 Sensitivity Simulations....... 175
7 SUMMARY AND CONCLUSIONS ................................... 181
APPENDICES
A OCM1D FINITE-DIFFERENCED EQUATIONS AND TURBULENCE
CLOSURE ALGORITHMS....................................... 188
Finite-Differenced Equations for Momentum and
Suspended Sediment...................................... 188
Turbulence Closure Algorithms............................... 192
REFERENCES...................................................... 196
BIOGRAPHICAL SKETCH............................................. 215
LIST OF TABLES
page
Table 1-1, Previous studies that are related to this research
and include an estuarine environment, wind waves,
field measurements of suspended-sediment
concentrations, or a numerical vertical sediment
transport model..................................... 50
3-1, Old Tampa Bay platform instrumentation deployments... 71
3-2, Old Tampa Bay platform data, March 8, 1990........... 75
3-3, Correlation coefficients for various wave properties
and bottom shear stresses with suspended-solids
concentrations at the Old Tampa Bay platform,
March 1990........................................... 78
3-4, Old Tampa Bay platform data, November 30 -
December 1, 1990..................................... 86
3-5, Correlation coefficients for various wave properties
and bottom shear stresses with suspended-solids
concentrations at the Old Tampa Bay platform,
November 1990....................................... 88
4-1, Modifications made to the 1986 version of OCM1D
(Sheng 1986) for this research........................ 101
4-2, Comparison of the equilibrium closure and TKE
closure methods for turbulent transport............... 113
5-1, Mean current speed, maximum wave orbital velocity,
wave period, and critical shear stresses from a
wave-current model (Drake and Cacchione 1986) and
the OCM1D model...................................... 128
5-2, Mean current speed, maximum wave orbital velocity,
wave period, angle between the mean current and
waves, and critical shear stresses from a
wave-current model (Larsen et al. 1981) and
the OCM1D model ...................................... 133
6-1, Total and grain shear stress distribution and
critical stresses, 1800 hours March 8, 1990........... 153
6-2, Old Tampa Bay suspended-sediment simulations......... 157
6-3, Values of the calibration coefficients determined by
other studies and determined for the November 1990
calibration simulation and the March 1990 improved
simulation............................................ 173
6-4, Mean percent differences of simulated suspended-solids
concentrations 70 and 183 cm above the bed caused by
20% changes in the calibration coefficients,
November 1990 sensitivity simulations................ 176
LIST OF FIGURES
page
Figure 1-1, Shields critical shear stress diagram................ 12
1-2, Roughness function B in terms of Reynolds number,
from Schlichting (1969).........; ................... 19
2-1, Old Tampa Bay study area............................ 53
2-2, Size distribution of bottom sediment at the
Old Tampa Bay platform............................... 57
2-3, Old Tampa Bay platform............................... 58
2-4, Suspended-solids concentration and median OBS
sensor output 70 cm above the bed at the Old Tampa
Bay platform, March 1990 ............................ 67
3-1, Measured and calculated quantities at the Old Tampa
Bay platform, March 1990 ............................ 74
3-2, Measured and calculated quantities at the Old Tampa
Bay platform, November 1990 ......................... 85
3-3, Mean water depth, mean current speed, and maximum
bottom orbital velocity at the Old Tampa Bay
platform during tropical storm Keith,
November 1988 ....................................... 91
3-4, Wind speed, wind vector azimuth, and
suspended-solids concentration at the Old Tampa Bay
platform during tropical storm Marco, October 1990.. 95
5-1, Measured, simulated, and theoretical turbulent
dissipation in the marine surface layer, measurements
reported by Soloviev et. al (1988).................. 124
5-2, Extended Shields diagram for continental shelf
data, shear stresses from wave-current models (WC)
and OCM1D........................................... 130
6-1, Computational grid for 45 layers, 1.15 neighboring
layer height ratio, and a 399 cm domain height...... 140
6-2, Comparison of Reichardt and simulated velocity
profiles............................................ 141
viii
6-3, Comparison of turbulence macroscale from the
dynamic equation and the integral constraints....... 143
6-4, Raw energy spectra computed from measured and
simulated velocities, 1500 hours November 30, 1990.. 145
6-5, Spatial convergence of total and
grain shear stress.................................. 147
6-6, Maximum grain shear stress calculated by OCM1D and
from Engelund's experimental results ................ 149
6-7, Simulated total and grain shear stresses,
1800 hours March 8, 1990 ....... .................... 150
6-8, Simulated grain shear stress,
1800 hours March 8, 1990 ............................ 152
6-9, Maximum total bottom shear stress from the
OCM1D model and the Grant and Madsen (1979)
wave-current model, November 1990................... 155
6-10, Simulated and measured suspended-solids
concentrations 70 cm above the bed,
November 1990 calibration simulation................ 162
6-11, Simulated and measured suspended-solids
concentrations 183 cm above the bed,
November 1990 calibration simulation................ 163
6-12, Simulated and measured suspended-solids
concentrations 24 cm above the bed,
March 1990 validation and improved simulations..... 168
6-13, Simulated and measured suspended-solids
concentrations 70 cm above the bed,
March 1990 validation and improved simulations..... 169
6-14, Simulated and measured suspended-solids
concentrations 183 cm above the bed,
March 1990 validation and improved simulations..... 170
6-15, Sensitivity of November 1990 calibration simulation
results to erosion rate exponent q ................. 177
6-16, Sensitivity of November 1990 calibration simulation
results to erosion rate coefficient a.............. 178
6-17, Sensitivity of November 1990 calibration simulation
results to settling velocity ws.................... 180
A-l, Coordinate axes definition and grid structure for
program OCM1D....................................... 189
KEY TO SYMBOLS
A invariant constant for turbulence algorithm (0.75, eqn. 4-26)
Ab orbital amplitude just above the boundary layer (eqn. 1-14)
A eddy viscosity (eqn. 1-16)
nondimensional eddy viscosity (eqn. 4-42)
a wave amplitude (eqn. 1-12)
small reference elevation above the bed (eqn. 1-18)
Fourier series coefficient (eqn. 2-3)
invariant constant for turbulence algorithm (3, eqn. 4-23)
a corrected Fourier series coefficient (eqn. 2-9)
c
B roughness function (eqn. 1-5)
b intercept of line that fits a segment of fig. 1-2 (eqn. 1-6)
Fourier series coefficient (eqn. 2-3)
invariant constant for turbulence algorithm (0.125, eqn. 4-23)
b corrected Fourier series coefficient (eqn. 2-10)
C well-mixed suspended-sediment concentration (eqn. 1-19)
C coefficient for integral constraint on A (eqn. 4-32)
q
c mean suspended-sediment concentration (eqn. 1-15)
magnitude in frequency domain (eqn. 2-4)
nondimensional suspended-sediment concentration (eqn. 4-42)
ca suspended-sediment concentration at elevation a (eqn. 1-18)
cc corrected magnitude in frequency domain (eqn. 2-7)
cm suspended-sediment mass concentration (eqn. 4-62)
c suspended-sediment concentration at upper boundary (eqn. 4-19)
nondimensional c (eqn. 4-52)
D rate of deposition (eqn. 1-19)
d particle diameter for which n percent of sediments are finer
d sediment particle diameter (eqn. 1-1)
E erosion rate (eqn. 1-3)
E erosion rate (eqn. 1-3)
nondimensional erosion rate (eqn. 4-42)
Ez Ekman number (eqn. 4-43)
F Froude number (eqn. 4-43)
neighboring layer height ratio (eqn. 5-2)
f friction factor (eqn. 1-12)
Coriolis coefficient (eqn. 4-4)
G filter gain for current meter, function of w (eqn. 2-1)
g gravitational acceleration (fig. 1-1)
H elevation of model domain (eqn. 4-42)
nondimensional elevation of model domain (eqn. 4-42)
h water depth (eqn. 1-12)
i counter and exponent (eqn. 5-2)
K pressure transfer function (eqn. 4-60)
K eddy diffusivity (eqn. 1-16)
nondimensional eddy diffusivity (eqn. 4-42)
k wave number (eqn. 1-12)
molecular diffusion (eqn. 4-26)
kb bottom roughness (eqn. 1-14)
ks height of bottom roughness elements (eqn. 1-5)
M erosion rate constant (eqn. 1-3)
N number of data points for fast Fourier transform (eqn. 2-3)
Brunt-Vaisala frequency (eqn. 4-31)
number of layers (eqn. 5-2)
n counter (eqn. 2-3)
P Prandtl number (eqn. 4-43)
p pressure (eqn. 4-2)
p pressure at the water surface (eqn. 4-6)
nondimensional pressure at the water surface (eqn. 4-42)
Q nondimensional quantity (eqn. A-8)
q turbulent fluctuating velocity (eqn. 4-23)
nondimensional turbulent fluctuating velocity (eqn. 4-42)
R roughness Reynolds number u ks/v (fig. 1-2)
Re Reynolds number (eqn. 4-43)
Ri Richardson number (eqn. A-11)
Rx horizontal Rossby number (eqn. 4-43)
R vertical Rossby number (eqn. 4-43)
R, boundary Reynolds number U ds/v (eqn. 1-1)
RC electronic filter time constant for current meter (eqn. 2-1)
s slope of line that fits a segment of fig. 1-2 (eqn. 1-6)
invariant constant for turbulence algorithm (1.8, eqn. 4-27)
T wave period (table 5-1)
t time (eqn. 1-15)
nondimensional time (eqn. 4-42)
U1/10 mean of the highest 1/10 ub (table 5-2)
U100 mean current speed 100 cm above bed (table 5-1)
U maximum wave orbital velocity 20 cm above bed (table 5-1)
U, shear velocity (eqn. 1-1)
u horizontal velocity at elevation z (eqn. 1-5)
mean velocity of sediment particles (eqn. 1-15)
mean velocity component (eqn. 4-1)
nondimensional mean velocity component (eqn. 4-42)
ub maximum bottom orbital velocity (eqn. 1-11)
u* shear velocity (eqn. 1-5)
v mean horizontal velocity component (eqn. 4-4)
nondimensional mean velocity component (eqn. 4-42)
v invariant constant for turbulence algorithm (0.3, eqn. 4-23)
w mean vertical velocity component (eqn. 4-4)
w terminal settling velocity (eqn. 1-17)
nondimensional settling velocity (eqn. 4-42)
x coordinate axis (eqn. 1-15)
nondimensional horizontal coordinate axis (eqn. 4-42)
y horizontal coordinate axis (eqn. 4-4)
nondimensional horizontal coordinate axis (eqn. 4-42)
Z Rouse number ws/(Pru,) (eqn. 1-18)
z elevation above bed (eqn. 1-5)
vertical coordinate axis (eqn. 1-17)
vertical coordinate (eqn. 4-4, fig. A-i)
z vertical coordinate of velocity measurement (eqn. 4-61)
z nondimensional quantity u.z/v (eqn. 1-10)
z elevation with zero velocity (eqn. 1-9)
o
zo nondimensional quantity u zo/v (eqn. 1-10)
a erosion rate coefficient (eqn. 1-4)
invariant constant for turbulence algorithm (0.75, eqn. 4-26)
P K/A, the inverse of the turbulent Schmidt number (eqn. 1-16)
7 specific weight of fluid (eqn. 1-2)
Ts specific weight of sediment (eqn. 1-2)
At time interval of data (eqn. 2-3)
nondimensional simulation time step (eqn. A-i)
simulation time step (eqn. 4-59)
Az1 height of bottom layer (eqn. 5-2)
Aak nondimensional layer elevation (eqn. A-l)
AC-k nondimensional distance between grid points k and k-I (eqn. A-i)
Aa+k nondimensional distance between grid points k and k-i (eqn. A-i)
AW angular frequency increment 2r/(NAt) (eqn. 2-3)
6 Kronecker delta (eqn. 4-23)
6 distance for integral constraint on A (eqn. 4-32)
q
S phase (eqn. 2-4)
alternating tensor (eqn. 4-2)
energy dissipation rate (eqn. 5-1)
Sc corrected phase (eqn. 2-8)
S nondimensional quantity (eqn. 1-13)
S erosion rate exponent (eqn. 1-4)
e production term (eqn. 4-3)
nondimensional production term (eqn. 4-42)
X von Karman's constant (eqn. 1-5)
A turbulence macroscale (eqn. 4-23)
xiii
nondimensional turbulence macroscale (eqn. 4-42)
A Taylor microscale (eqn. 4-28)
v kinematic viscosity (eqn. 1-1)
nondimensional kinematic viscosity (eqn. 4-42)
S surface displacement from the mean water depth (eqn. 4-6)
nondimensional surface displacement (eqn. 4-42)
p fluid density (eqn. 1-1)
nondimensional fluid density (eqn. 4-42)
po reference fluid density (eqn. 4-2)
Ps sediment density (eqn. 4-62)
Pw water density (eqn. 4-62)
a nondimensional vertical coordinate (eqn. 4-42)
7 bottom shear stress (eqn. 1-3)
rb total bottom shear stress (table 5-1)
7 critical shear stress for erosion (eqn. 1-3)
c
r critical shear stress for deposition (eqn. 1-19)
min minimum r that maintains sediment in suspension (eqn. 1-19)
o bottom shear stress (eqn. 1-2)
Ss grain shear stress (table 5-1)
w maximum bottom shear stress in oscillatory flow (eqn. 1-11)
7 x component of wind shear stress at free surface (eqn. 4-14)
nondimensional x component of wind shear stress (eqn. 4-47)
7 y component of wind shear stress at free surface (eqn. 4-15)
WY nondimensional y component of wind shear stress (eqn. 4-48)
7 x component of total bottom shear stress (eqn. 4-20)
nondimensional x component of total shear stress (eqn. 4-53)
7 y component of total bottom shear stress (eqn. 4-21)
Y nondimensional y component of total shear stress (eqn. 4-54)
r, dimensionless shear stress (Shields parameter, eqn 1-2)
filter phase delay for current meter, a function of w (eqn. 2-2)
angle between the mean current and wave direction (table 5-2)
n angular velocity of the Earth (eqn. 4-2)
xiv
w angular wave frequency (eqn. 1-12)
angular frequency of periodic input signal to filter (eqn. 2-1)
Subscripts:
k layer number (eqn. A-l)
r reference value (eqn. 4-42)
Superscripts:
n time step (eqn. A-l)
* nondimensional value (eqn. 4-42)
S turbulent fluctuation
ABSTRACT
Estuarine sediments may limit light availability for
photosynthesis, supply nutrients to the water column, and affect the
fate of contaminants in estuaries, including Old Tampa Bay, Florida.
These adverse impacts are enhanced when bottom sediments are resuspended
into the water column. Sediment resuspension was intermittently
monitored in Old Tampa Bay from 1988 to 1990. The data indicates that
net sediment resuspension is caused by depth-transitional wind-waves
that are generated by strong and sustained winds associated with storm
systems and not tidal currents. The bottom roughness regime in Old
Tampa Bay is transitional between the smooth and rough limits.
A vertical one-dimensional numerical model was modified and used
to help interpret the Old Tampa Bay sediment resuspension data. The
model was modified to simulate low Reynolds number flows, multiple wave
frequencies, variable bottom roughness regimes, and spatially-averaged
grain shear stress. The model successfully simulated steady flow
profiles with laminar, transitional, and turbulent regions and turbulent
dissipation in the marine surface layer. Simulated shear stresses are
in agreement with observed critical conditions for sediment motion for
combined wave and current motion on the continental shelf. Wave spectra
observed in Old Tampa Bay and simulations of the sediment resuspension
data indicate that formation of large aggregates is an important process
that controls settling in Old Tampa Bay. A simple aggregation algorithm
xvi
was added to the model and the calibrated coefficients are reasonable
compared to values from other studies. Only the finer particles are
probably intermittently transported as bed load. Simulation results
indicate that the bottom sediments were more erodible in March 1990 than
November 1990. Reduced biological binding of the fine bed sediments and
increased storm activity may increase bottom sediment erodibility in
March 1990.
xvii
CHAPTER 1
INTRODUCTION
Estuaries are transition zones between riverine and marine
environments. Potential sources of sediment particles for an estuary
include rivers, net sediment flux from the marine environment, overland
runoff, and anthropogenic point sources. Sediment particles are
commonly trapped and deposited in the deeper parts of an estuary. The
bed sediment affects the overall health of an estuary in several ways.
Bed sediment, especially fine sediment, can be resuspended up into the
water column where it may reduce the amount of light penetrating the
water column, may act as a source for constituents adsorbed onto the
sediment, and may be transported to undesirable locations. The
reduction of light in the water column may adversely affect biological
communities. Adsorbed constituents that can be released to the water
column during suspension and possibly while on the bed include
nutrients which may contribute to eutrophication of the estuary, heavy
metals, pesticides, and organic carbons that may decrease the
productivity of the estuary. Resuspended sediment may be transported
throughout the estuary and spread the adverse effects and possibly
become deposited in undesirable locations, such as shipping channels,
turning basins, and marinas. Thus, the overall health of an estuarine
environment is partially dependent upon the resuspension, transport,
and deposition of sediment.
Numerical models can be used to study and predict sediment
dynamics in an estuary. An accurate numerical model must include
algorithms that represent significant hydrodynamic and sediment
transport processes which may be identified from comprehensive field
data. Governmental regulators could use a sediment model to help
predict the effect of proposed anthropogenic alterations to an estuary
on light attenuation, transport and fate of toxic substances, and
sedimentation. Potentially adverse alterations include increased
wastewater discharge, increased stormwater runoff, dredging, dredge
material disposal, and wetland destruction. Because sediment particles
are negatively buoyant and settle, accurate sediment models must
consider vertical sediment dynamics. Two obstacles, however, limit
application of sediment models. Field data are needed to calibrate and
validate estuarine sediment models, and the bottom boundary conditions
for the sediment must be specified.
Improved understanding and simulation of estuarine sediment
processes are dependent upon reliable field data. The importance of
the processes that potentially control sediment dynamics must be
understood and included in a realistic model. For example, if wind-
waves are an important sediment resuspension mechanism, then a model
that ignores water motions at wind-wave frequencies can not
realistically simulate estuarine sediment transport. Laboratory
studies can be used to improve understanding of sediment transport
process, but field conditions are often difficult to recreate in the
laboratory. Reconstruction of realistic sediment beds in a laboratory
is difficult, especially when the natural sediments are biologically
active. A field data collection program has far less control than
found in a laboratory, but the data and insights gained in the field
are directly applicable to the estuary being studied. Calibration is
the selection of model parameters that permit the model to accurately
simulate field data. Once selected, validation may be performed on an
independent data set to prove that the model algorithms and model
parameters can be used to make reliable predictions. Field data is
therefore required to develop a predictive model in which managers,
scientists, and the public can have confidence.
Sediment transport processes at the interface of the water column
and bottom sediments must be accurately simulated in a numerical model
because the bed is an omnipresent potential source and sink of
suspended sediment. A particle resting on the bed will move (erode)
when the lift force generated by the hydrodynamics is sufficiently
large. If a particle moves by rolling, sliding, or saltating
(jumping), then it contributes to the bed load. A mobilized particle
may also become suspended (or resuspended) in the water column.
Interaction of suspended particles may be caused by salt flocculation
of clay minerals and formation of large aggregates of organically bound
inorganic particles. Deposition is the process that returns particles
to the bed. The sedimentary processes of initiation of particle
motion, bed load, and deposition all occur at or near the interface of
the sediment bed and the water column. Other near-bed factors which
may affect hydrodynamics and sediment transport include bed forms,
armoring, porous beds, suspended-sediment stratification, and
biological activity.
The purpose of this research was to improve the understanding and
numerical modeling of sediment resuspension and the vertical transport
of resuspended sediment in the shallow estuarine environment. Field
data and a numerical model were used to accomplish this task. From
1988 to 1990, the author collected sediment resuspension data during
potential periods of resuspension in Old Tampa Bay, a shallow estuary
on the west-central coast of Florida. These field data were analyzed
by the author to determine the sediment resuspension mechanisms in Old
Tampa Bay. The author modified and used a vertical one-dimensional
model to simulate the Old Tampa Bay data and other data. The numerical
model was used as a tool to help analyze the Old Tampa Bay data and to
help determine significant sediment transport processes in Old Tampa
Bay.
The remainder of this chapter discusses existing literature on the
significance of estuarine sediments, sediment transport processes,
field studies related to estuarine sediment transport, numerical models
applicable to estuarine sediment transport, and the relation between
previous studies and this research. The data collection methodology
is discussed in chapter 2, and the data are presented and analyzed in
chapter 3. The numerical model is described in chapter 4. Numerical
simulations of the marine surface layer and critical shear stresses on
continental shelves were conducted to test modifications made to the
model during this research, and these simulation results are presented
and discussed in chapter 5. Simulations of suspended-solids
concentrations in Old Tampa Bay are presented and discussed in chapter
6. Conclusions of this study are summarized in chapter 7.
Significance of Estuarine Sediments
Bottom sediments are an omnipresent factor that affect the water
quality and biological productivity of an estuary. Potential sources
of sediment particles for an estuary include rivers, net sediment flux
from the marine environment, overland runoff, and anthropogenic point
sources. Sediment particles are commonly trapped and deposited in the
deeper or vegetated parts of the estuary. Bed sediments provide the
substrate for benthic organisms, seagrasses, and marshes, and chemical
exchange processes occur between the bed sediments and the water
column. Bed sediments, especially fine sediments, can be resuspended
up into the water column where they may 1) increase nutrient
concentrations, 2) transport trace metals, 3) influence the mortality,
life cycle, food supply, and photosynthesis of estuarine species, and
4) may move and settle in ports or marshes.
Bed sediments chemically interact with the overlying water column
and benthic biological communities. Diffusive fluxes between the bed
sediments and water column commonly remove dissolved oxygen from the
water column (Hinton and Whittemore 1991, Svensson and Rahm 1991) and
recycle nutrients to the water column (Callender and Hammond 1982,
Hammond et al. 1985, Simon 1988, Ullman and Aller 1989). In addition,
sediment geochemistry in seagrass beds determines the limiting nutrient
for seagrass growth (Short 1987).
The release of nutrients from sediments to the water column is
enhanced during resuspension events. Increased nutrient concentrations
in the water column that were caused by resuspension events have been
observed by Gabrielson and Lukatelich (1985) during wind related
sediment resuspension events in the Peel-Harvey estuarine system in
Australia, by Fanning et al. (1982) during storms on the continental
shelf of the Gulf of Mexico, and by Schwing et al. (1990) after
destabilization of bottom sediments by a seiche in Monterey Bay,
California. Grant and Bathmann (1987) found that bacterial mats
deposit sulfur on surficial bottom sediments and that resuspension is
an important mechanism for returning sulfur to the water column.
Phytoplankton and organic detritus resting on the bottom can also be
resuspended and impact estuarine productivity (Roman and Tenore 1978,
Gabrielson and Lukatelich 1985). The supply of Radon 222, a tracer, to
the water column from resuspension flux and diffusion flux is about the
same in the Hudson River estuary (Hammond et al. 1977). Simon (1989)
estimates that one resuspension event in the Potomac River that lasts
minutes can add as much ammonium to the water column as the diffusive
flux can in 5 to 1000 days, depending upon the site. Laboratory
experiments show that typical water column concentrations of
particulate nutrients would double in a few hours during a resuspension
event (Wainright 1990) and that biological growth is increased when
resuspended material is added to microcosms (Wainright 1987).
In addition to nutrients, trace metals and other contaminants may
be adsorbed to sediment particles and these contaminants are
detrimental to the biological health of many estuaries. For example,
metals are partitioned between adsorbed and dissolved phases, so the
transport of metals is related to sediment transport (Dolan and Bierman
1982, Li et al. 1984, Horowitz 1985). In South San Francisco Bay,
availability of trace metals may be a factor that limits growth of some
phytoplankton species, sorption processes influence dissolved
concentrations of metals, and sorption processes vary among specific
metals (Kuwabara et al. 1989). Sediment concentrations of trace
metals, PCBs, pesticides, or polynuclear aromatic hydrocarbons exceed
the median concentration associated with biological effects in
estuaries in Alaska, California, Connecticut, Florida, Hawaii,
Maryland, Massachusetts, New Jersey, New York, Oregon, Texas, and
Washington (Long and Morgan 1990).
The mortality, food supply, and life cycle of some estuarine
species may be affected by suspended sediments and sediment transport
processes. For species restricted to the benthos, mortality may be
increased by resuspension or burial and sediment transport may regulate
the food supply to both suspension and deposit feeders (Nowell et al.
1987). Eggs, cysts, and spores of many zooplankton and phytoplankton
species reside in bottom sediments and erosion may inject them into the
water column where they may hatch. Circumstantial evidence indicates
that this process may contribute to red tide outbreaks (Nowell et al.
1987). Sellner et al. (1987) found that increased suspended-sediment
concentrations reduced the survival rate of newborn larval copepods in
Chesapeake Bay. In addition, development and reproduction of survivors
was inhibited.
Suspended sediments reduce the sunlight available for
photosynthesis. Smaller particles are more efficient light attenuators
(Baker and Lavelle 1984, Campbell and Spinard 1987). McPherson and
Miller (1987) found that non-chlorophyll suspended material is the most
important component of light attenuation in Charlotte Harbor, Florida.
Inorganic suspended material is the dominant cause of light attenuation
in several New Zealand estuaries (Vant 1990) and sediment resuspension
by tidal currents and wind waves is an important cause of attenuation
(Vant 1991). In the coastal waters of northwest Africa, light
attenuation is greatest in nearshore waters where sediment
concentrations are greatest, compared to offshore waters, and nearshore
light attenuation reduces phytoplankton growth (Smith 1982). The
reduction of light in the water column reduces seagrass photosynthesis
and the maximum depth at which seagrasses can grow (Dennison 1987).
Resuspended sediments may move throughout the estuary, depending
upon the circulation, and, in addition to possibly spreading the
adverse effects already mentioned, may deposit in ports or marshes.
Large man-made basins that serve as ports and marinas are commonly
depositional environments that require costly maintenance dredging
(Granat 1987, Kobayashi 1987, Headland 1991). Estuarine sediments may
also deposit in marshes where vegetation and benthic algae impede water
motion and resuspension and enhance deposition, formation, and
maintenance of an important habitat (Ward et al. 1984, Krone 1985, Huh
et al. 1991).
Sediment Transport Processes
Sediment transport processes differ somewhat depending on whether
the sediment is noncohesive or cohesive. Noncohesive sediment
particles do not interact electro-chemically with other particles, and
cohesive sediment particles interact electro-chemically with other
cohesive particles. Sediments with a diameter larger than 20 pm are
generally noncohesive. Thus, gravel, sand, and coarse silts are
noncohesive. Cohesion increases as particle size decreases below 20 pm
(Migniot 1968), and clay minerals are generally cohesive. Transport of
noncohesive sediments is controlled by the processes of initiation of
particle motion, bed load transport, suspended load transport, and
deposition. Cohesive sediments differ in that they are not transported
as bed load, and interparticle electro-chemical forces may cause
flocculation in brackish estuarine waters. Both cohesive and
noncohesive suspended inorganic particles may adhere to large
organically bound aggregates that can deposit rapidly in an estuary.
Bed and near-bed factors that may affect hydrodynamics and sediment
transport include bed forms, bed armoring, suspended-sediment
stratification, fluid-mud, porous beds, and biological activity.
Initiation of Motion of Bed Sediments
The horizontal transport of noncohesive sediment as bed load and
suspended bed-material load is dependent upon the initiation of motion
of stationary particles in the sediment bed. Particles that roll,
slide, or saltate along or near the bed are part of the bed load, and
particles that are lifted into suspension are part of the suspended
load. Initiation of particle motion has been reviewed by the Task
Committee on Preparation of Sedimentation Manual (1966), Vanoni (1975),
Miller et al. (1977), Simons and Senturk (1977), and Lavelle and
Mofjeld (1987a, 1987b).
A noncohesive particle lying on a sediment bed, for which fluid is
flowing above, will be acted upon by the hydrodynamic forces of lift
and drag in addition to gravity and normal forces from adjacent
touching particles. Vanoni (1975, pp. 92-93), Simons and Senturk
(1977, pp. 400-407), Yalin (1977), and Wiberg and Smith (1987) describe
the forces acting on a bed particle in detail. The formulation of the
hydrodynamic forces will differ depending on whether the flow over the
particle is laminar or turbulent and whether the bed is composed of
uniform or heterogeneous particles. If the hydrodynamic forces exceed
a threshold or critical value, then the particle will move. Particle
motion may also be initiated by organisms that disturb the bottom
sediments and by trawling in coastal waters (Churchill 1989).
Because the exact geometry, size, and shape of every sediment
particle in a bed can not be determined, practical analysis of the
problem of initiation of particle motion requires assuming that the bed
is a continuum of particles instead of a large quantity of discrete
particles. Noncohesive sediment particles are usually assumed to be
spherical. The particle sizes (measured by sediment particle diameter
ds) that are present in an actual bed will vary vertically and
horizontally, but it is commonly represented as one or more sizes for
which a certain percentage N of the bed material is finer (denoted as
dN). The physical properties of the sediment particles at a fixed
location also will vary with time as particles are transported.
In addition to sediment particle properties, the flow field will
vary spatially and temporally. The shear force exerted by the flow on
the bed is commonly used to indicate the magnitude of the hydrodynamic
force on the bed. Because most natural flows are turbulent and
turbulent flows fluctuate in space and time, the bottom shear stress at
a fixed point will vary about the mean bottom shear stress. The bottom
shear stress will also vary spatially, especially if bed forms are
present. For example, for three-dimensional ripples, Ikeda and Asaeda
(1983) found that sediment is eroded from the side slopes of
longitudinally trailing ridges by lee side eddies and that sediment
entrainment is correlated with intermittent bursts of the lee side
eddy.
If the bed is assumed to be a continuum of particles, the
inception of particle motion is a stochastic rather than a
deterministic process because the particle sizes and bottom shear
stress vary spatially and temporally (He and Han 1982). Usually, the
existence of particle motion is determined by assuming a threshold
shear stress or threshold velocity. Definitions of threshold have been
categorized by Lavelle and Mofjeld (1987a) as those based on sediment
flux in a flume, visual flume observations (Kramer 1935, White 1970,
Mantz 1977), erosion rate experiments for cohesive sediments
(Partheniades 1965, Ariathurai and Arulanandan 1978, Sheng and Lick
1979, Kelly and Gularte 1981, Parchure and Mehta 1985), and field
measurements in marine environments (Sternberg 1971, Wimbush and Lesht
1979, Lesht et al. 1980, Larsen et al. 1981). Because of the
stochastic nature of the inception of particle motion problem, however,
some particle motion will still occur below the threshold values
(Einstein 1941, 1966, Taylor and Vanoni 1972, Vanoni 1975, Christensen
1981, Lavelle and Mofjeld 1987a). The concept of threshold is useful
for practical problems (Simons and Senturk 1977 pp. 417-487, Blaisdell
et al. 1981, Blaisdell 1988) and when ability to observe particle
motion is limited in the field (Sternberg 1971, Wimbush and Lesht 1979,
Lesht et al. 1980). Threshold criteria should only be applied with the
knowledge that initiation of particle motion is a stochastic process.
The most common threshold criterion is probably that presented in
the Shields diagram as modified by Rouse (fig. 1-1) (Vanoni 1975 p. 96,
Simons and Senturk 1977 p. 410). The Shields threshold criterion was
determined by extrapolating measured transport rates of laboratory
experiments to the point of zero transport for fully developed
turbulent flows, noncohesive sediments, and flat beds. The abscissa is
the boundary Reynolds number
R* U, ds / v (1-1)
in which U is the shear velocity for which U. (r /p) where r is
the bottom shear stress and p is the fluid density, and v is the
kinematic fluid viscosity. The curve for R. less than two was
extrapolated by Shields and is not based upon data. The ordinate is a
dimensionless shear stress or Shields parameter
0
o
r* (7-) d (1-2)
(7 s -7) d
in which ys is the specific weight of the sediment particle and 7 is
the specific weight of the fluid. The line on figure 1-1 indicates the
critical condition for sediment motion. If (R*,r*) is below the line,
then there is no sediment motion, and if (R*,r*) is above the line,
then there is sediment motion.
1.u - -
0.8 : : : :- -
0.5
0.4 -- --- -- --- -
0.3- -
0.2 -
ALUI O tO ( l)gd,
0.1 1. 0 .00
0.08
0.08
0.05-
0.04
0.03
0.02
0.2
0.4 0.6 1.0
! 4
6 810 20 40 80100 200
500 1.000
BOUNDARY REYNOLDS NUMBER, R.-,
Figure 1-1, Shields critical shear stress diagram, from Vanoni (1975).
Several modifications to the Shields diagram have been proposed
because the bottom shear stress is included on both axes of the
diagram, so an iterative procedure must be used to determine the
critical shear stress for a given particle. The Task Committee on
Preparation of Sedimentation Manual (1966) added the quantity
d s 0.5
d Vs
[ 0.1( 1) g d ]
v s
to the diagram in which g is the acceleration of gravity. Yalin
(1977), Bonnefille (see Vollmers 1987) and Gessler (1971) regrouped the
dimensionless variables to make the diagram easier to use.
The Shields diagram also has been modified to account for bed
forms and small boundary Reynolds numbers. Gessler (1971) adjusted
Shields diagram because some of Shields' flume experiments formed
ripples and small dunes that increased the critical shear values by 10
percent. Inman (1963) shows a second curve for rippled beds. Shields
diagram was extended for values of R, less than 2 by Miller et al.
(1977) (mostly with data from White (1970)) with an envelope
encompassing the data scatter and by Mantz (1977) with a power function
that lies inside the envelope (Larsen et al. 1981). The extended
Shields diagrams are applicable to noncohesive fine sands and silts.
Although the Shields diagram was developed for unidirectional
flows, it also may be applicable to the estuarine and marine
environments. Field observations in oscillatory flow environments have
been in good agreement with the Shields criterion (Davies 1985).
Madsen and Grant (1977) stated that Shields diagram is applicable to
locations with both waves and currents and good agreement with data in
such environments was observed by Drake and Cacchione (1986). Field
measurements in Puget Sound by Sternberg (1971) were in good agreement
with the Shields diagram modified to account for ripples presented by
Inman (1963). Larsen et al. (1981) found that the extended Shields
diagram was in good agreement with observed threshold grain motion for
oscillatory flows on a continental shelf.
Other threshold relations have been developed for noncohesive
sediments. Lane (1955) used field data to develop curves of critical
shear stress vs. mean particle diameter, which give higher critical
shear stresses than Shields' diagram. Sundborg (1956) developed a
threshold criterion based on particle size and mean velocity 1 meter
above the bed, and Inman (1949, 1963) developed a criterion that is
dependent on particle size and shear velocity, both of which agree with
Puget Sound data (Sternberg 1971). Wiberg and Smith (1987) derived a
critical shear stress equation for beds with uniform particle size that
corresponded closely to Shields' diagram. In addition, they also
derived a critical shear stress equation for heterogeneous beds that
was in good agreement with experimental data.
For cohesive sediment beds, the consolidation of the bed is an
important factor that helps determine whether and how the bed sediment
will move. When initially deposited, cohesive sediment beds are
unconsolidated high concentration suspensions (fluid-mud) and have
little shear strength. Consolidation is a time dependent function of
the overbearing pressure, particle size, and of the clay mineralogy
that dewaters, compresses, and strengthens the bed (Meade 1966,
Terzaghi and Peck 1967 p. 84, Hayter 1986). Therefore, there is no
general threshold of motion criterion for cohesive sediments such as
the Shields diagram for noncohesive sediments. Critical shear stresses
for various cohesive sediments and consolidation states have been
determined in the laboratory (Partheniades 1965, Ariathurai and
Arulanandan 1978, Sheng and Lick 1979, Thorn and Parsons 1980, Kelly
and Gularte 1981, Mehta et al. 1982) and the field (Gust and Morris
1989). Three modes of initial motion of cohesive sediments are re-
entrainment of unconsolidated high concentration suspensions, surface
erosion of individual particles and flocs, and bulk erosion (also
called mass erosion) which is the sudden failure of the upper part of
the bed (Krone 1986, Mehta et al. 1989a).
Bed Load Transport
If a particle moves by rolling, sliding, or saltating (jumping),
then it contributes to the bed load. Determining whether a particle
that is not in contact with the bed is contributing to the bed load or
suspended load can be difficult (Einstein 1950, Bagnold 1966, Murphy
and Aguirre 1985). Bed load usually is composed of sand-sized and
coarser particles. Fine sediments (silts and clays) are usually
immediately suspended upon initiation of motion and are not transported
as bed load.
Calculation and measurement of bed load are difficult. Reviews of
equations for calculating bed load have been presented by Vanoni (1975,
pp. 168-172), Simons and Senturk (1977, pp. 508-543), Yalin (1977),
Gomez and Church (1989) (for gravel beds only), Ludwick (1989), and
Stevens and Yang (1989). Bed load transport equations were compared by
van Rijn (1984a), who concluded that predicted bed load transport rates
are accurate only within a factor of 2. Gomez and Church (1989)
assessed bed load equations for gravel beds and determined that none of
the reviewed equations consistently performed well. Carson (1987)
evaluated several factors used to estimate bed load in alluvial
channels and determined that the grain component of the bed shear
stress (shear stress corrected for sidewalls and bed forms) is a better
predictor of bed load than mean velocity, stream power, and unit stream
power. The bed load transport rate is related to the grain component
of the bed shear stress so this quantity should be used in bed load
formulas when bed forms are present (Wiberg and Smith 1989). Field
measurements of bed load are discussed by Emmett (1980), Edwards and
Glysson (1988), and Ludwick (1989), but bed load is difficult to
measure because any device placed near the bed may disturb the flow and
the rate of bed load transport.
Erosion and Bottom Shear Stress
The rate at which particle motion is initiated is an important
quantity for studies and numerical models of sediment transport. van
Rijn (1984b) developed a sediment pick-up function (mass per unit area
per unit time) by utilizing a mechanical device (a sediment lift) at
the bottom of a flume to supply erodible noncohesive particles and
compared the developed sediment pick-up function to the sediment pick-
up functions by Einstein (1950), Yalin (1977), Nagakawa and Tsujimoto
(1980), de Ruiter (1982), and Fernandez-Luque (see van Rijn 1984b).
Bed load and suspended load transport rates calculated with the
developed sediment pick-up function compared well with field and
laboratory data (van Rijn 1986b). Noncohesive particles that are
picked up are initially saltating and will either contribute to the bed
load or suspended load (Murphy and Aguirre 1985).
Quantification of the erosion of cohesive sediments is difficult
because of the lack of understanding of erosion mechanisms and the
numerous factors involved. Thus, the erosion relationships that have
been developed are simple relationships that contain coefficients that
must be determined in the laboratory or field. Assuming that the rate
of surface erosion is proportional to the nondimensional excess shear
gives (Ariathurai and Arulanandan 1978)
E M 1 (1-3)
in which E is the surface erosion rate in mass per unit area per unit
time, M is an erosion rate constant defined as 'the increase in the
rate of erosion for an increase in the interface fluid shear by an
amount equal to the critical shear stress of that soil' (Ariathurai and
-2 -1
Arulanandan 1978) that has a range of values from 0.003 g cm min to
-2 -1
0.03 g cm min r is the bottom shear stress, and r is the critical
shear stress for erosion. For shear stresses less than the critical
value, no surface erosion occurs. Equation 1-3 was developed using
data from placed beds with uniform shear strength which is not
representative of cohesive beds in nature (Mehta et al. 1982). Erosion
functions by Mehta et al. (1982) and Parchure and Mehta (1985) were
determined using more realistic laboratory sediment bed conditions.
Equation 1-3 has been applied in numerical models of cohesive
sedimentation (Ariathurai and Krone 1976, Thomas and McAnally 1985,
Sheng et al. 1990b, Uncles and Stephens 1989). Because equation 1-3 is
an empirical erosion formula, it is not limited to cohesive sediments,
and it has been used to simulate transport of noncohesive suspended
sediments in the lower Mississippi River (Schoellhamer and Curwick
1986).
A general erosion equation is determined by setting the erosion
rate equal to a power of the excess shear stress
E a Ir7r (1-4)
in which a and r are constants that are determined by calibration.
Values of a have been found to range from to 3.7x-6, for
Values of a have been found to range from 1.9xlO to 3.7xi0 for r
in dynes/cm2, and n has been found to range from 0.23 to 10 (Lavelle et
al. 1984). Lavelle et al. (1984) used equation 1-4 to simulate erosion
as a stochastic process (Lavelle and Mofjeld 1987a).
The erosion rate is dependent upon the shear stress applied to the
bed by the flowing water and the bottom shear stress from the near-bed
velocity. Schlichting (1969) gave velocity profile equations for
turbulent flow in the near-wall region for hydraulically smooth, rough
and transitional cases. Given a measured or simulated velocity
profile, these equations can be used to calculate the bottom shear
stress. In general, the velocity distribution is
u 1 In(z/k ) + B (1-5)
u1 Ki s
in which u. is the shear velocity for which =- p u, the velocity u is
at an elevation z above the bed, x is von Karman's constant (0.4), k
s
is the height of the bottom roughness elements, and B is a roughness
function that has the form
u. k u, k
B = s log- + b = In + b (1-6)
v 2.3 v
in which u*ks/v is a roughness Reynolds number (R), and s and b are the
slope and intercept of a line that fits a segment of the data presented
in figure 1-2 (Schlichting 1969 fig. 20.21), which is a plot of B vs.
log R developed from laboratory data. The boundary is smooth for R <
5, rough for R > 70, and transitional for intermediate values of R.
For a smooth wall, s 5.75 and b 5.5, and equations 1-5 and 1-6 can
be written as
u_ 1 In (9.03 z u* / v) (1-7)
u*
For a rough wall s 0.0 and b 8.5 and equations 1-5 and 1-6 can be
written as
u_- In (30 z / ks) (1-8)
u s
19
11 I I--- -- ; -- ;------ i -
a 10' I
i .. ... .-. __
1 i i I
7 o, *
smoIt77 l i- transition completely rough
02 04 a6 as ZO UZ 1 .6 LB Z O 22 Z# 2.8 Z2. 30 32
Figure 1-2, Roughness function B in terms of Reynolds number, from
Schlichting (1969).
for which the elevation with zero velocity is z =k /30. Equations 1-5
and 1-6 can be combined to derive a general expression for the
elevation with zero velocity
z k R-s/2.3 e-b (1-9)
o s
For transitional flow regimes, figure 1-2 and equations 1-5 and 1-6
must be applied in an iterative manner.
If the velocity used to calculate the bottom shear stress is from
the near-bed region of a hydraulically smooth (R < 5) or transitional
flow (5 < R < 70), the velocity profile may not be logarithmic near the
bed and a different velocity profile equation is applicable. Reichardt
(see Wiberg and Smith 1987) developed a velocity distribution equation
that gives a linear profile for elevations much smaller than the top of
the viscous sublayer, a logarithmic profile for elevations much larger
than the top of the viscous sublayer, and a smooth and accurate
transition between the two regions. This velocity distribution is
u = [ In(l+nz )
+ + +33z
(ln(z ) + ln(K)) (1 e-z /11.6 e-0.33
11.6e )
(1-10)
+ + UZ/V
in which the nondimensional quantities z = uz/v and z = uz /v.
The bottom roughness is dependent upon grain size in the bed and
bed forms. The bottom roughness element that controls the resistance
in the region of the water column adjacent to the bed is the grain
roughness and above this region the roughness is controlled by larger
roughness elements such as ripples, dunes, or surface irregularities
caused by bioturbation (Smith and McLean 1977). The grain roughness is
normally related to the bed sediment size distribution.
Two types of shear stresses, the total shear stress and the grain
shear stress, can be considered. The total shear stress is the shear
stress exerted on the flow by all of the bottom roughness elements.
The grain shear stress is the spatially-averaged (over a bed form
wavelength) shear stress exerted on the sediment particles in the bed
by the flow. The grain shear stress is less than the total shear
stress. Sediment motion is dependent upon the grain shear stress
(Vanoni 1977, McLean 1991).
If the height and wavelength of the bed forms are constant, then
the matching elevation at which the velocities from the two regions are
equal can be calculated based on the bed form geometry (Smith and
McLean 1977). Smith and McLean (1977) measured velocity profiles at
several positions on dunes in the Columbia River and showed that the
spatially-averaged (or "zero-order") velocity profile could be
constructed from equation 1-5. The zero-order velocity profile
averages near-bed velocity variations caused by the bed forms and the
resulting total shear stress and grain shear stress are spatially-
averaged values. Expressions for the bottom roughness due to bed forms
have been developed by van Rijn (1984c) for steady flow in alluvial
channels and by Grant and Madsen (1982) for oscillatory flow.
For an oscillatory flow, a simple expression for the maximum
bottom shear stress is (Jonnson 1967)
7w ub Ub (1-11)
in which f is a friction factor and
2ak
gak (1-12)
Ub w cosh(kh) (1-12)
is the maximum bottom orbital velocity from linear wave theory, where a
is the wave amplitude, k is the wave number, w is the angular wave
frequency, and h is the water depth. Shallow-water waves are assumed
to be present for kh < w/10 and deep-water waves are present for kh > r
(Dean and Dalrymple 1984). Equations and diagrams for the friction
factor f as a function of the wave properties and bottom roughness have
been determined empirically (Jonsson 1967, Kamphius 1975). For waves
in the absence of a mean current and for rough turbulent flow, Grant
and Madsen (1979, 1982) determined that the friction factor is given by
f 0.08 / [Ker2(2T) + Kei2(2Tf)] (1-13)
in which Ker and Kei are Kelvin functions of zero order and
kb 2
= 30f (1-14)
30 x ub Tf
in which kb is the bottom roughness. The friction factor appears on
both sides of equation 1-13, so the equation must be solved
iteratively. Equation 1-13 is valid for rough turbulent flow for which
Ab/kb > 1 where Ab=ub/w is the orbital amplitude just above the
boundary layer. Bottom stress in oscillatory boundary layers (e.g.
Jonsson and Carlsen 1976) has also been computed with turbulent
boundary layer models (Sheng 1984, Sheng and Villaret 1989).
A potentially important resuspension mechanism in estuaries is the
nonlinear interaction of a wave field and a mean current that can
increase the shear stress on the bed to a value greater than the sum of
the wave only and current only shear stresses. Grant and Madsen (1979)
developed a model to estimate the bed shear stress when waves and
current are present. The model is based on the assumption of rough
turbulent flow that is wave dominated. They also developed a model
that includes ripple formation and the effect of ripples on the bed
shear stress (Grant and Madsen 1982). Weaknesses of the Grant and
Madsen models include the introduction of a fictitious reference
velocity at an unknown level, a rather arbitrarily estimated thickness
of the wave boundary layer, and the model being valid only for wave
dominant cases (Christoffersen and Jonsson 1985). The Grant and Madsen
models also assume that 1) the thickness of the logarithmic layer is
constant, which is not correct when waves are present (Sheng 1984), 2)
the wave field can be represented by a single wave period and wave
height, and 3) the eddy viscosity is linear and time invariant.
Cacchione et al. (1987) found that the shear stress and bottom
roughness estimated by the moveable bed model were in good agreement
with estimates from measured velocity profiles, but no bottom
photographs were available to check the estimated bed form geometry.
Drake et al. (1992) took bottom photographs and found that the moveable
bed model overestimated the size of bottom ripples. Larsen et al.
(1981) present a simpler solution for the model formulation by Grant
and Madsen (1979) that is applicable to smooth, transitional, and rough
bottom roughness regimes and the shear stress at the observed threshold
of motion of noncohesive sediments observed in the field was in good
agreement with Shields diagram. The results of the Larsen et al.
(1981) model and the Grant and Madsen (1979) model are virtually
identical for rough bottoms. Simpler wave-current models that compare
well with laboratory data have also been developed by Christoffersen
and Jonsson (1985) for wave and current dominated cases and by Sleath
(1991) for wave-dominated cases and rough beds. All of the above
models consider wave-averaged bottom stresses by invoking some sort of
a priori parameterization of wave-current interaction.
Wave-current interaction in bottom boundary layers has also been
studied without such a priori parameterization. Sheng (1984) used a
Reynolds stress turbulence model to simulate the detailed dynamics of
the boundary layer over the wave cycle by using a small time step
(1/100 of the wave cycle) and specifying the mean and orbital currents
at the outer edge of the boundary layer. The results were then
averaged over the wave cycle to produce wave-averaged stresses. Sheng
(1984) found that the model of Grant and Madsen (1979) generally
overestimated the wave-averaged stress and apparent roughness height.
Suspended Load Transport
Suspended sediment is transported by the flow in the water column.
The Reynolds time-averaged equation for three-dimensional sediment
transport, written in tensor notation, is (Vanoni 1975)
ac ac au'c'
at + uj x x (1-15)
Jt ax
in which c is the mean suspended-sediment concentration, u is the mean
velocity of the sediment particles, c' is the turbulent fluctuation of
sediment concentration about the mean, u' is the turbulent fluctuating
velocity of sediment particles, t is time, and x is the coordinate
axis. The first term in equation 1-15 represents the time rate of
change of sediment concentration, the second term represents the
advection and settling of particles, and the term on the right hand
side represents the turbulent dispersion of particles. The second
order correlation of velocity fluctuation and concentration fluctuation
is often represented as the product of the mean concentration gradient
and an eddy diffusivity K such that (Vanoni 1975)
uc' K ac (1-16)
1 v. 8x.
1 1
The eddy diffusivity is often assumed to be proportional to the eddy
viscosity A (Kv -A ) which is often assumed to be related to mean flow
variables (Fischer et al. 1979) or to have a particular distribution
(Vanoni 1975, Fischer et al. 1979). Eddy diffusivity also can be
calculated with an advanced turbulence closure algorithm (Sheng 1986a,
Celik and Rodi 1988, Sheng and Villaret 1989).
An analytic expression for the vertical distribution of suspended
sediment in an open channel can be derived from equations 1-15 and 1-
16. Assuming that lateral and longitudinal variations are small and
that the mean vertical water velocity is small, equation 1-15 reduces
to the vertical conservation of mass equation for sediment
ac a
at az (WsC w'c') (1-17)
in which w is the terminal settling velocity of sediment particles and
z is the vertical coordinate axis (Vanoni 1975). The first term within
the parenthesis is the settling flux of sediment and the second term is
the vertical flux of sediment (usually upward) caused by turbulence.
For steady flow and a parabolic distribution of the eddy diffusivity,
equations 1-16 and 1-17 can be used to derive the Rouse equation
( h-z a )Z (1-18)
-a z h-a
in which z is the elevation above the bed, ca is the suspended-sediment
concentration at a usually small reference elevation a above the bed,
and the exponent Z is the Rouse number equal to ws/(siu*) (Vanoni
1975). Equation 1-18 gives a suspended sediment distribution that is
greatest near the bed, as is expected due to the negative buoyancy of
sediment particles. In addition, the vertical gradient of suspended-
sediment concentration is greatest near the bed. The water velocity is
small near the bed compared to the vertically-averaged velocity, so the
dissimilar distributions of suspended sediment and velocity must be
considered when calculating the suspended load in a river (Schoellhamer
1986, McLean 1991).
Flocculation and Aggregation
Salt flocculation of clay minerals and formation of large
organically bound aggregates of inorganic particles may occur in the
water column, especially in estuaries. Clay minerals transported to
estuaries by rivers encounter high cation concentrations that reduce
repulsive forces that prevent flocculation in freshwater. Particle
cohesion begins at salinities of 0.6 to 2.4 ppt, depending on the clay
mineralogy, and increases with salinity up to about 10 ppt, although
the rate of increase is small for salinities greater than 3 ppt (Krone
1962, Mehta 1986). Seawater has salinity of about 34 ppt.
Flocculation has been observed for clay concentrations as low as 50
mg/L (Ozturgut and Lavelle 1986). As a floc grows, the density,
settling velocity, and shear strength of the floc decrease (Krone
1986). Turbulence may break up relatively weak flocs (Krank 1984).
Meade (1972) states that salt flocculation has been overemphasized in
the literature while biological agglomeration by filter feeding
organisms has not received enough attention.
Suspended material in estuaries and oceans is commonly found in
the form of large aggregates (length scale 0.5 mm or larger), often
called marine snow (Wells and Shanks 1987). In the ocean, large
aggregates are primarily biogenic material (Fowler and Knauer 1986),
but estuarine aggregates are primarily inorganic particles attached to
organic material (Eisma 1986). The primary collision mechanism that
forms large aggregates is differential settling, not Brownian motion or
fluid shear (Hawley 1982, Eisma 1986). Aggregation by organisms may
also be important in estuaries (Meade 1972, Krank 1984, Eisma 1986).
Large aggregates have been observed to remain intact in currents as
much as 50 cm/s in estuaries (Wells 1989), but large aggregates tend to
break apart when sampled (Shanks and Trent 1980, Krank 1984, Eisma
1986, Fowler and Knauer 1986). Sampling procedures are limited to in
situ settling columns (Shanks and Trent 1980, Gibbs 1985, Fowler and
Knauer 1986) and photography (Krank 1984, Eisma 1986, Wells and Shanks
1987, Wells 1989). Eisma (1986) and Dyer (1989) state that the size of
the aggregates is limited by the turbulence microscale, which is the
size of the smallest turbulent eddies. The density of large aggregates
decreases with increasing size and the settling velocity and porosity
increases with increasing size (McCave 1975, Hawley 1982, Gibbs 1985).
Settling and Deposition
Particles that are part of the bed or suspended load may settle
through the water column and deposit on the bed. A noncohesive
particle falling in quiescent fluid is affected by the forces of
gravity, buoyancy, and drag. The terminal settling velocity for a
sphere in quiescent fluid is given by Stokes law and Rubey's equation,
which are presented by Vanoni (1975) and Simons and Senturk (1977). A
nonspherical particle, which is common in nature, may have a different
terminal settling velocity. A shape factor defined by Alger and Simons
(1968) can be used to predict settling velocity and settling behavior
of nonspherical particles and shells (Mehta et al. 1980). Terminal
settling velocity equations are for a single particle, but high
concentrations of noncohesive particles, which are most likely to occur
near the bed, may hinder settling and decrease the terminal settling
velocity (Vanoni 1975, Simons and Senturk 1977). The size of suspended
particles tends to decrease with elevation above the bed, so assuming a
single suspended particle size with a single settling velocity may not
be appropriate (McLean 1991).
Deposition of suspended sediments in natural hydrologic systems is
complicated by turbulence. The effective settling velocity of a
particle settling in a vertically oscillating flow will be less than
the terminal settling velocity for the particle in quiescent fluid
because of nonlinear modification of the drag force (Hwang 1990) or
vortex trapping (Nielson 1984). As a particle settles toward the bed,
the turbulence intensity generally increases and, thus, the probability
increases that a turbulent eddy will carry the particle either upward
or downward. The turbulence intensity will decrease very near the bed
and vanish in the viscous sublayer adjacent to the bed. If a particle
passes through the high turbulence zone near the bed, it can then
deposit on the bed. Li and Shen (1975) and Bechteler and Farber (1985)
presented random walk models that stochastically simulate particle
settling. Turbulence, however, is not an independent variable.
Density stratification by suspended sediments can dampen turbulence
(Sheng and Villaret 1989) and reduce the transport capacity of the flow
(McLean 1991).
Because turbulent intensity and the vertical gradient of sediment
concentration are greatest near the bed, near-bed hydrodynamic
processes determine deposition rates. Sheng (1986c) derived a
deposition velocity formula by considering the resistances that
sediment particles experience in various near-bed layers including the
logarithmic layer, vegetation canopy, laminar sublayer, and biochemical
effects. Numerical suspended-sediment transport models that solve
equation 1-15 generally have finer vertical grid resolution closer to
the bed and represent the bottom boundary condition either by setting
the net upward sediment flux equal to an erosion rate minus a
deposition rate (Sheng and Lick 1979, Schoellhamer 1988, Sheng et al.
1990a), by estimating a near-bed sediment concentration (van Rijn
1986a, Celik and Rodi 1988, Schoellhamer 1988), or by setting a net
erosion or deposition flux which is dependent on the bottom shear
stress (Thomas and McAnally, 1985).
Estimates of sediment deposition rates in estuaries have been made
with sediment traps and acoustic devices. Interpretation of sediment
trap data is difficult, but sediment traps have been used to estimate
deposition rates (Oviatt and Nixon 1975, Gabrielson and Lukatelich
1985). Bedford et al. (1987) used an acoustic transceiver to measure
near-bed suspended-sediment concentration profiles and calculated
deposition and erosion fluxes over a 3.5 hour period and a tidal cycle
at one site in Long Island Sound.
Large aggregates control settling and are an important mechanism
for transporting material to the bottom of oceans (McCave 1975, Shanks
and Trent 1980, Hawley 1982, Fowler and Knauer 1986) and estuaries
(Wells and Shanks 1987, Dyer 1989). Fowler and Knauer (1986) give a
minimum range of large aggregate settling velocities of 1 to 1000
m/day. Shanks and Trent (1980) measured settling velocities of large
aggregates in Monterey Bay, California, and the northeastern Atlantic
Ocean and found that the range of settling velocities was 43 to 95
m/day.
The settling velocity of depositing cohesive sediments is
dependent upon the sediment concentration. Krone (1962) measured
settling velocities of San Francisco Bay sediment in still water and
determined that the median settling velocity was proportional to the
concentration to the 4/3 power. This is a typical result for settling
column experiments with cohesive sediments (Mehta 1986), probably
because differential settling is the dominant collision mechanism
(Farley and Morel 1986). In estuaries, however, collisions caused by
velocity gradients are most important because they form the strongest
aggregates (Krone 1986). Ross (1988, also in Mehta 1989) conducted a
settling column experiment and found that the settling velocity of
Tampa Bay mud increased as the concentration increased up to about 1
g/L, the settling velocity was about constant (about 0.32 mm/s or 27
m/day) for concentrations from about 1 to 10 g/L, and the settling
velocity decreased as the concentration increased above 10 g/L due to
hindered settling.
Deposition of flocs of cohesive sediments may be prevented by the
turbulent boundary layer above the bed in which flocs may be broken
apart and lifted up into the water column. Krone (1962) conducted
deposition experiments in a recirculating flume from which he
determined that the rate of deposition of cohesive sediment from a
vertically mixed flow is
D C s (1 7/c), r < cr (1-19)
s cr cr
in which C is the vertically well-mixed suspended-sediment
concentration and r is the critical shear stress for deposition that
cr
must be determined by analyzing time series of concentration and shear
stress measured in the laboratory or field. Laboratory experiments
indicate that r is less than r the critical shear stress for
cr c
erosion. If r > rcr, no deposition occurs, and if 7 < rcr, equation 1-
19 will eventually deposit all of the sediment in suspension.
Laboratory experiments by Mehta and Partheniades (1975), however,
showed that a constant fraction of the original suspension will be
maintained in suspension indefinitely for 7cr > r > min where r min is
a minimum shear stress below which all of the suspended sediment will
deposit. Equation 1-19 is an empirical formula for deposition that
does not include the near-bed hydrodynamic processes that determine
deposition rates. Equation 1-19 has been used to simulate noncohesive
suspended-sediment transport in the lower Mississippi River
(Schoellhamer and Curwick 1986) in addition to cohesive sediment
transport (Ariathurai and Krone 1976, Thomas and McAnally 1985, Uncles
and Stephens 1989).
Other Bed and Near-bed Factors
Many bed and near-bed factors may affect hydrodynamics and
sediment transport. These factors include bed forms, bed armoring,
suspended-sediment stratification, fluid-mud, and porous beds. Some of
these factors (bed forms, bed armoring, suspended-sediment
stratification, and fluid-mud) are the result of sediment transport and
affect the hydrodynamics, which, in turn, affect the sediment
transport. Biological activity also affects sediment transport.
One consequence of noncohesive sediment transport can be the
formation of bed forms in riverine (Kennedy 1969, Vanoni 1975, Simons
and Senturk 1977, Yalin 1977) and coastal (Boothroyd 1985)
environments. Bed forms such as ripples and dunes do not occur in
cohesive sediment beds. Bed forms increase the bottom roughness of
open channels compared to flat bed conditions in which the only
roughness elements are the bed sediment particles. Because some of the
total bottom shear stress is caused by the bed forms, the shear stress
applied to the particles will decrease, so the total (grain and form)
critical shear stress for initiation of particle motion will increase
(Vanoni 1975, McLean 1991). On the upstream face of a dune, the grain
shear increases from zero at the reattachment point to a maximum at the
crest (Shen et al. 1990). van Rijn (1984c) used flume and field data
to develop and verify a methodology to predict bed form dimensions and
effective hydraulic roughness for steady flow in alluvial channels.
For oscillating flows, Grant and Madsen (1982) present empirical
relations for bed ripple geometry and an expression for the bottom
roughness. Drake et al. (1992), however, found that the Grant and
Madsen empirical relations overestimated ripple height on the Northern
California continental shelf.
An armored or paved bed has finer particles removed from the bed
surface so that only coarser noncohesive particles remain at the
surface thus preventing erosion of finer particles below (Simons and
Senturk 1977, Sutherland 1987). For equilibrium conditions, Jain
(1990) defines an armored bed as having a coarse surface layer that is
inactive (or immobile) and a paved bed as having a coarse surface layer
that is actively eroding and depositing (or mobile). For
nonequilibrium or degrading conditions, the particle-size distribution
of the surficial bottom sediments coarsens and the erosion rate
decreases with time. Therefore, near-bed sediment transport may be
dependent upon the armoring process, especially in alluvial channels.
Dawdy and Vanoni (1986) review several bed armoring and pavement
studies and predictive algorithms. More recently, bed armoring
algorithms have been presented by Karim and Holly (1986) and Park and
Jain (1987).
Near-bed suspended-sediment stratification will affect the
hydrodynamics and, therefore, affect sediment transport processes at
the bed. As previously mentioned, high near-bed sediment
concentrations may hinder settling of particles. Several authors have
found that sediment-laden flows reduced near-bed turbulence intensity
or bottom shear stress in steady and uniform open-channel flows (Vanoni
and Nomicos 1960, Itakura and Kishi 1980, Lau 1983, Julien and Lan
1988, Xingkui and Ning 1989). West and Oduyemi (1989) measured
turbulence and near-bed density stratification in an estuary and found
that density stratification damped turbulence. Flume experiments by
Vanoni and Nomicos (1960), however, indicated that the effect of bed
forms on the total bottom shear stress is much greater than the effect
of suspended sediment. Parker and Coleman (1986) found that suspended
sediments may either increase or decrease near-bed turbulence intensity
and bottom shear stress (discussed by Julien and Lan (1988)). Near-bed
stratification in sediment-laden flows may reduce near-bed turbulent
shear stresses and, therefore, reduce erosion rates (Sheng and Villaret
1989) and the sediment-transport capacity of the flow (McLean 1991).
Costa and Mehta (1990) collected hydrodynamic and suspended sediment
data in a high energy coastal environment and found a hysteresis in the
relationship between suspended-sediment concentration and the flow
velocity, with higher concentrations for accelerating flows, due to
near-bed density stratification.
An extreme case of near-bed suspended-sediment stratification is
the formation of an unconsolidated fluid-mud by cohesive sediments
above a consolidated bed in estuarine and near-shore environments. In
this situation, the water column is composed of two layers--a thin
dense non-Newtonian fluid underlying a Newtonian fluid. The fluid-mud
may interact with the overlying fluid. Surface waves cause mud waves
to form in the fluid-mud and the fluid-mud acts to attenuate (dampen)
surface waves (Suhayda 1986, Wells and Kemp 1986, Mehta 1991, Jiang and
Mehta 1992). Suhayda, Mehta, and Jiang and Mehta developed models to
simulate the interaction of the two fluids. Wells and Kemp also point
out that the formation of mud waves can produce significant
reentrainment of the fluid-mud.
The bed is commonly assumed to be an impermeable boundary but
water exchange between the bed and water column may advect sediment and
ripples may enhance water exchange at the bed/water column interface.
In an alluvial river water may exchange between the river and pore
space of the alluvium (Bencala et al. 1984) and this water exchange may
transport fine sediments by advection to and from the relatively coarse
alluvium (Jobson and Carey 1989). Thus, advection may be an important
transport process at the bed/water interface for fine, noncohesive
sediments in an alluvial channel. For oscillatory flows over porous
beds in coastal environments, the total water exchange across the
bed/water column interface averaged over the wave period is
significantly greater for rippled beds than for flat beds (Shum 1992).
Benthic biological communities may influence sediment-transport
processes, especially in biologically abundant estuaries. Erosion
rates may be decreased by microbial films and benthic algae that
stabilize sandy sediments (Gabrielson and Lukatelich 1985, Grant et al.
1986, Meadows et al. 1990) and cohesive sediments (Montague 1986).
Tracks made by motile bivalves, however, reduced the critical shear
velocity of fine sandy sediments in a laboratory flume by 20 percent
(Nowell et al. 1981). Fecal mounds from polychaetes and a deposit-
feeding bivalve in a laboratory flume had a higher critical shear
velocity than ambient cohesionless sediments and were transported as
bed load (Nowell et al. 1981). Sediments that have been bound by
secretions from benthic invertebrates may settle more slowly than
unbound particles when resuspended (Meadows et al. 1990). Seagrasses
reduce bottom orbital velocities of wind-waves and thus reduce erosion
and increase deposition (Ward et al. 1984). Biological effects
frequently are ignored in sediment-transport studies because biological
activity is difficult to quantify in the field, difficult to reproduce
in a laboratory, and difficult to incorporate into a numerical model.
Field Studies Related to Estuarine Sediment Transport
Field studies of estuarine sediment transport are often conducted
to determine the mechanisms that control sediment transport processes,
such as resuspension and horizontal transport. Data is collected by in
situ instrumentation, water sample collection and analysis, and/or
bottom sediment sampling and observation. Statistical analysis, time
series analysis, and numerical process models are used to analyze the
data. Field studies provide less control than laboratory studies, but
they are more applicable because of the difficulty recreating natural
conditions in the laboratory. For numerical studies, an initial or
concurrent field study may indicate the processes that must be included
in the numerical model in order to accurately simulate sediment
transport and a field study will provide data for calibration and
validation of the numerical model. Sediment resuspension mechanisms
are often the focus of estuarine field studies because the bottom of
the estuary is an omnipresent potential source of suspended sediment
and many potential sediment resuspension mechanisms are present in the
estuarine environment. The potential sediment resuspension mechanisms
include tidal currents, wind waves, wave/current interactions, seiches,
trawling, and vessel traffic. Many of these potential mechanisms are
also present on the continental shelf and in large lakes, so some
relevant field studies in these environments will also be mentioned in
this section.
The mean current in estuaries and on the continental shelf may
resuspend bottom sediments. Wimbush and Lesht (1979) deployed a tripod
with current meters and a bottom camera at a site with a bottom
sediment of medium sands in the deep (710 meters) Florida Straits and
estimated the critical velocity for ripple formation. Lavelle et al.
(1984) deployed a current meter and transmissometer 5 meters above a
fine sediment bottom in 200 meters of water in Puget Sound. They
observed that tidal currents resuspended bottom sediments and that the
erosion rate could be described with the shear stress power law given
by equation 1-4. Both of these studies were conducted in deep water
where wave motion was not observed. Bohlen (1987) deployed an
instrument array that included an electromagnetic current meter and
transmissometers for monitoring suspended-solids concentrations in 12
meters of water in Chesapeake Bay. Spectral analysis of the suspended-
solids concentration showed variation at tidal frequencies, including a
spring/neap variation. Roman and Tenore (1978) collected and analyzed
water samples over several tidal cycles in Buzzards Bay, Massachusetts,
and observed resuspension of organic carbon and chlorophyll-a at a site
with a muddy bottom in 13 meters of water by tidal currents that was
significant enough to potentially affect estuarine productivity. They
did not address resuspension by wind waves, possibly because the data
may contain a fair weather bias due to the manual collection of water
samples and the lack of in situ instrumentation. Costa and Mehta
(1990) observed resuspension by tidal currents in Hangshou Bay, China,
a high energy tidal environment.
Wind waves may resuspend bottom sediments in relatively shallow
water. Anderson (1972) collected water samples in a tidal lagoon with
fine sediments and found that wave heights of only a few centimeters
resuspended bottom sediments in water depths of 40 to 150 cm. Water
samples and sediment traps were used by Ward et al. (1984) to determine
that shallow water sites (less than 2 meters) in Chesapeake Bay with
seagrasses attenuate wave motion and reduce resuspension compared to
sites without seagrasses. Gabrielson and Lukatelich (1985) found that
sedimentation rates calculated from sediment traps deployed in the
Peel-Harvey estuarine system were temporally correlated with the
strength and duration of wind events and spatially correlated with wind
direction and fetch. Kenney (1985) deployed sediment traps in Lake
Manitoba at a depth of 4.2 meters and found that resuspension of bottom
sediments during wind events stratified the water column. Lavelle et
al. (1978) deployed a current meter and turbidimeter 1 meter above the
medium sand bed of Long Island Sound at an average depth of 10.5
meters. Wind waves during a storm resuspended bottom sediments and
tidal currents did not cause resuspension. An empirical relationship
between suspended sediment concentration and wave orbital velocity in
Long Island Sound was developed by Lesht et al. (1980). In addition to
resuspension by tidal currents in Chesapeake Bay discussed previously,
root-mean-squared velocity fluctuations and suspended-solids
concentrations increased when the wind was blowing up the longitudinal
axis of Chesapeake Bay (Bohlen 1987). Davies (1985) deployed a
tetrahedra containing electromagnetic current meters and a video camera
in 4 to 10 meters of water in Start Bay, England, and found that the
observed threshold of sediment motion in oscillatory flow was in good
agreement with Shields diagram (fig. 1-1). Sheng et al. (1990b)
collected synoptic suspended sediment data and deployed anemometers,
pressure transducers, electromagnetic current meters, and optical
backscatterance suspended-solids sensors from several platforms and
piles over two one-month periods in Lake Okeechobee, Florida. It was
found that wind waves associated with the diurnal lake breeze
resuspended fine sediments and this field data were used to calibrate
and validate three-dimensional and vertical one-dimensional numerical
sediment transport models (Sheng et al. 1990b, Sheng et al. 1992).
Mehta (1991) also collected data and applied a vertical one-dimensional
model to study fluid-mud and sediment resuspension by wind waves in
Lake Okeechobee. Perjup (1986) deployed an instrument tower in about 2
meters of water in the Ho Bugt estuary, Denmark, from which water
velocity, suspended-solids concentration, salinity, depth, wind speed,
and wind direction were measured. Perjup found that the suspended-
solids concentration did not correlate with mean water velocity but was
correlated to parameters containing wind speed and onshore wind
direction and inversely correlated with salinity, which was well-
correlated with water depth. These results indicate that resuspension
was caused by onshore wind waves, especially at low tide when the near-
bed orbital wave motion can be greatest.
As mentioned previously, the nonlinear interaction of waves and
current can significantly increase the bottom shear stress and thus it
may be an important sediment resuspension mechanism. Drake and
Cacchione (1986) used data from Norton Sound, Alaska, and the northern
California continental shelf to calculate the grain shear stress with a
modified version of the fixed bed wave/current interaction model of
Grant and Madsen (1979). The observed resuspension threshold was in
good agreement with Shield's diagram (fig. 1-1). Cacchione et al.
(1987) and Drake et al. (1992) compared field data collected on the
northern California continental shelf (water depth 85 meters) and
results of the moveable bed wave/current interaction model of Grant and
Madsen (1982) and found good agreement for bottom shear stress but not
bed form geometry. The high bottom stresses caused by wave/current
interaction during winter storms were a major factor controlling the
distribution of surficial sediment on the northern California
continental shelf. Measurements were made with a tripod containing
electromagnetic current meters, a pressure transducer, a nephelometer
(for measuring light scattering which can be calibrated to suspended
solids), and a camera (Cacchione and Drake 1979).
Estuaries contain abundant fisheries and they are convenient sites
for ports, so trawling and commercial vessels are potential sediment
resuspension mechanisms. Churchill (1989) reviewed several sets of
hydrodynamic and sediment data from the middle Atlantic Bight and
determined that sediment resuspension by trawling is a significant
source of suspended sediments. Schoellhamer (1991b) found that during
the departure and arrival of a cruise ship at the Port of St.
Petersburg the suspended-solids concentration increased almost an order
of magnitude due to the maneuvering of the vessel. The resuspended
sediments settled within 1 to 2 hours once the cruise ship either
docked or departed.
In partially-mixed and well-mixed estuaries, the maximum
suspended-solids concentration is often present in brackish waters and
is greater than concentrations found elsewhere in the estuary (Uncles
and Stephens 1989). This feature is called a turbidity maximum and
field data collection programs and numerical models have been used to
determine the controlling mechanisms. Uncles and Stephens (1989)
collected water samples and data from an optical suspended-solids
sensor to measure salinity and suspended-solids concentrations during
twice monthly sampling trips that proceeded up the Tamar estuary,
England. These data were used with a longitudinal one-dimensional
model to determine that the location of the turbidity maximum is
associated with the location of the freshwater/saltwater interface and
that local resuspension, and perhaps gravitational circulation and
stratification, determined suspended-solids concentrations in the
turbidity maximum. West and Oduyemi (1989) deployed electromagnetic
current meters and suspended-solids sensors on a bed frame in the Tamar
estuary and observed that near-bed stratification by suspended sediment
reduced the turbulence intensity. Hamblin (1989) collected vertical
profiles of velocity, salinity, and suspended-solids concentrations
from a vessel anchored at several stations near the turbidity maximum
in the upper Saint Lawrence estuary. These data showed that local
resuspension by the mean current controlled the suspended-solids
concentrations at the measurement sites and that a landward flux of
sediment near the bed is maintained by ebb-flood asymmetry and a
reduction in vertical mixing during flood tide caused by the salt
wedge. A vertical one-dimensional sediment transport model was
developed with these data. Grabemann and Krause (1989) analyzed time
series of long-term salinity, current meter, and optical transmittance
sensor data collected in the Weser River estuary to determine that
tidally controlled resuspension and deposition is the dominant process
in the turbidity maximum and that gravitational circulation is a long-
term source and sink of particles. An intensive two-week experiment on
the Weser River estuary included the deployment of instrumentation to
measure velocity, salinity, and suspended-solids concentration at
several locations and similar measurements were taken from vessels
(Lang et al. 1989). These data showed that there was a close
relationship between suspended-sediment concentration and near-bed
velocity gradient and stratification and the data was used to develop a
three-dimensional numerical model.
Most of the field studies discussed so far have focused on tidal
transport processes and vertical sediment transport processes, but
field studies have also been conducted to quantify subtidal horizontal
sediment transport. Powell et al. (1989) collected water samples in
South San Francisco Bay and observed that during spring runoff fresh
water and suspended sediment from the Sacramento River entered South
San Francisco Bay. Wells and Kim (1991) used vibracores, surficial
sediment data, and vertical profiles of velocity, salinity, and
suspended sediment concentration collected during monthly sampling
trips from several sites in the Neuse River estuary, North Carolina, to
describe long-term sedimentation patterns. In Puget Sound, Baker
(1984) collected suspended-solids concentration data with a
transmissometer at several sites during several sampling trips to help
determine that gravitational circulation and surface and bottom sources
of particles control the distribution and transport of suspended
solids.
Sample collection for the preceding studies was generally
performed by collecting water samples and/or collecting pressure,
velocity, and suspended solids concentration data from conventional
sensors. Alternative methods of data collection have been utilized to
collect data on estuarine sediment transport processes. Rubin and
McCulloch (1979) used side scan sonar to determine the shape of
bedforms in central San Francisco Bay, which indicate near-bed
circulation patterns and sediment transport directions. Bedford et al.
(1987) used an acoustic transceiver to sample the sediment
concentration in 1 cm bins in the bottom 70 cm of the water column over
a 3.5 hour period and a tidal cycle at a site in Long Island Sound.
This device provides much better resolution of the near bed sediment
concentration profile than is available from optical instrumentation,
but calibration is difficult due to sensitivity to the particle size
distribution. Resuspension fluxes were calculated and were found to be
best correlated with the squared velocity fluctuation (horizontal and
vertical) due to wind waves and turbulence about the mean velocity.
Portable flumes that are deployed on the bottom of the estuary have
been used to study the erosion of in situ sediments under controlled
conditions. For example, Young and Southard (1978) deployed a sea
floor flume in Buzzards Bay, Massachusetts, and observed that the in
situ critical shear velocity was one-half the value found in laboratory
experiments due to bioturbation. Laboratory and sea flume values for
the critical shear velocity also differed in Puget Sound (Gust and
Morris 1989). To estimate the residence time of fine particles
introduced at the water surface in Puget Sound (11-16 days), Lavelle et
al. (1991) used vertical profiles of radioactive isotope activities and
a sorption model.
Due to practical limitations, it is very difficult to collect
synoptic samples throughout a large water body by conventional means,
but remote sensing from aircraft and satellites can be used to
synoptically determine suspended-solids concentrations near the water
surface in large water bodies. The advantage of remote sensing is that
a measurement of an entire estuary can be made instantly but the
disadvantages are that remote measurements must be calibrated with
suspended-solids concentrations, sampling times and locations are
limited by the satellite orbit, clouds and other weather may degrade or
prevent satellite observation, and resolution may be limited. Sheng
and Lick (1979) used remote-sensing data and field data to produce the
near-surface suspended-sediment concentrations in the western basin of
Lake Erie, which were then used to provide initial conditions and
validation for a numerical sediment transport model of Lake Erie. Huh
et al. (1991) used remote sensing to help determine that storms 1)
produce landward sediment transport along coastal Louisiana and 2) help
build marshes. In Mobile Bay, remote sensing has shown rapid changes
in sediment concentrations due to high river inflow and wind-induced
sediment resuspension (Stumpf 1991).
Numerical Models Applicable to Estuarine Sediment Transport
Numerical models can be used to simulate or predict estuarine
sediment transport, resuspension events, sedimentation rates, adsorbed
constituent transport, and light availability. Transport processes are
dependent upon hydrodynamics, so sediment transport models require an
accurate hydrodynamic model. Deposition, erosion, and density
stratification caused by suspended sediments may affect the
hydrodynamics, so a coupled hydrodynamic and sediment transport model
may be required. Many numerical models of suspended sediment transport
have been developed for steady riverine flows (for example van Rijn
1986a, Celik and Rodi 1988, Schoellhamer 1988), but they are not
applicable to estuaries because of the unsteady motions of tidal waves,
seiches, and wind waves. Some riverine models are stochastic or random
walk models that use Lagrangian particles to represent suspended
sediment (Alonso 1981, Bechteler and Farber 1985). The random walk
approach may be applicable to estuarine sediment transport. Mehta et
al. (1989b) reviewed estuarine applications of primarily cohesive
sediment transport models, and they discussed simulation of the bed and
zero-, one-, two-, and three-dimensional models. A similar outline
will be followed herein. Some estuarine sediment transport processes
are also present on the continental shelf and in large lakes, so some
relevant numerical models for these environments will also be discussed
in this section.
The properties of the sediment bed may vary with time and depth
below the interface with the water column, especially for cohesive
sediments. Bed properties such as density and shear strength may vary
with distance below the top of the sediment bed, the elevation of which
may vary during a tidal cycle. In order for a numerical sediment
transport model to account for these temporal and spatial variations,
the bed could be divided into layers with different properties, and
new layers could be added during deposition and existing layers could
be removed by erosion. Properties such as layer density, thickness,
and shear strength can vary temporally and spatially in the simulated
estuarine bed (Thomas and McAnally 1985, Hayter 1986, Sheng 1991).
If the spatial variation of suspended-sediment concentration can
be ignored, then only the temporal variation of suspended-sediment
concentrations needs to be considered. This type of modeling is
referred to as zero-dimensional and is equivalent to assuming that the
study area is well-mixed. Krone (1985) used a zero-dimensional model
to simulate and predict deposition in a marsh. Amos and Tee (1989)
simulated the Cumberland Basin in the Bay of Fundy as a well-mixed
water body in order to calculate sediment fluxes at the mouth of the
Basin. Because the distribution of sediment sources in an estuary is
likely to be nonuniform and because the settling property of sediment
increases concentrations deeper in the water column, the assumption
that the spatial variation of suspended sediment is negligible is
generally poor.
The longitudinal variation of suspended sediment in an estuary can
be simulated with horizontal one-dimensional models. Cross sectional
variations are averaged transversely and vertically, so if the
suspended-sediment concentration varies significantly in the cross
section, one-dimensional model may not be applicable. Uncles and
Stephens (1989) used a longitudinal one-dimensional model to describe
the magnitude and location of the turbidity maximum in the Tamar
estuary. Equations 1-3 and 1-19 were used to simulate deposition and
erosion and the coefficients in the equations were selected by
calibration with measured suspended-sediment concentrations. Hayter et
al. (1985) predicted shoaling rates in the Hooghly River estuary,
India, with a longitudinal one-dimensional model that was calibrated
with measured channel dredged material volumes.
The vertical profile of suspended sediment at a given location in
an estuary can be simulated with a vertical one-dimensional model.
These models are applicable when horizontal gradients of suspended-
sediment concentration can be neglected. Weisman et al. (1987)
simulated a depositional tidal lagoon with a series of vertical layers
for which vertical dispersion was neglected and the simulated shoaling
rate was reasonable compared to shoaling rates estimated with
radioactive isotopes. Teeter (1986) developed a vertical transport
model that uses a Richardson number dependent parabolic eddy
diffusivity to include the effect of density stratification. Hamblin
(1989) used this model to simulate vertical mixing of suspended
sediment at a site in the upper St. Lawrence estuary were suspended-
sediment concentrations were observed to depend upon local
resuspension. Field data were used to determine the erosion function
and particle settling velocity. Costa and Mehta (1990) also applied a
Richardson number dependent model to simulate vertical sediment
transport in Hangzhou Bay, China. Steady state vertical profiles of
near-bed suspended sediment in the Florida Straits were estimated with
a model by Adams and Weatherly (1981) that used three sediment size
classes. Velocity data but no suspended-sediment concentration data
were collected to calibrate the model. Sheng and Villaret (1989) used a
vertical one-dimensional model (OCMID, which is presented in detail and
utilized later) with a simplified second-order turbulence closure model
to determine vertical profiles of velocity and suspended-sediment
concentration and the erosion rate of bottom sediments for laboratory
experiments. They found that near-bed stratification by high
suspended-sediment concentrations reduces turbulence intensity and
erosion rates. The same basic model was used to determine erosion
rates of sediments from measured suspended-sediment concentrations from
Lake Okeechobee and was successfully applied to simulate the dynamics
of the vertical structure of suspended-sediment concentration over
several 3-day and 1-week periods (Sheng et al. 1990b, Sheng 1991, Sheng
et al. 1992).
Vertical hydrodynamic models have also been developed for
estuarine applications. OCM1D has been used to simulate storm-induced
currents in Grand Bank (Sheng 1986b) and in the Atlantic Ocean during
the passage of hurricane Josephine (Sheng and Chiu 1986). Davies et
al. (1988) used a one-dimensional vertical hydrodynamic model to
simulate the interaction of waves and a mean current. This model
achieves turbulence closure with a dynamic equation for turbulence
energy and turbulence scaling relations for the mixing length and eddy
viscosity, but results were not compared to data. A vertical
hydrodynamic model with complete second order turbulence closure model
(i.e., Reynolds stress model) was used by Sheng (1984) to simulate the
development and evolution of the logarithmic wave boundary layer for
laboratory and field data.
The horizontal transport of sediment in an estuary has been
simulated with depth-averaged two-dimensional models. Ariathurai and
Krone (1976) developed a two-dimensional finite element model for
simulating cohesive sediment transport in estuaries. Erosion and
deposition were simulated with equations 1-3 and 1-19. This model is
included in the U.S. Army Corps of Engineers TABS-2 modeling system for
estuarine hydrodynamics and sedimentation (Thomas and McAnally 1985)
which has been applied to several estuaries (Heltzel 1985, Granat 1987,
Hauck 1991). Heltzel (1985) and Granat (1987) used physical model
results for the simulated hydrodynamic boundary conditions and the
validation of simulated hydrodynamics and measured shoaling rates
(instead of measured suspended-sediment concentrations) were used to
calibrate sediment simulations. For San Francisco Bay (Hauck 1991),
hydrodynamic simulations were in agreement with measured data but
sediment simulations did not successfully reproduce field data,
possibly because simulated settling velocities for cohesive sediment
were not dependent upon the concentration, poor simulation of wave
action and related shear stress, and only one grain size for cohesive
sediments was simulated.
Depth-averaging may not be appropriate for estuarine hydrodynamic
and sediment transport models. Density stratification and
gravitational circulation are three-dimensional flow features in
estuaries that can not be simulated by a depth-averaged model.
Sediment resuspension may be dependent upon the bottom shear stress but
depth-averaged models do not calculate the vertical velocity profile
and therefore empirical relations must be used to calculate the bottom
shear stress instead of equation 1-5. Because of the settling property
of sediment, sediment concentrations are usually much higher near the
bed than up in the water column, so depth-averaging may not be
appropriate. For example, in an open channel, the near-bed region
contains the largest suspended-sediment concentrations but the smallest
velocities, so the depth-averaged longitudinal velocity of suspended
sediment is less than the depth-averaged water velocity (Schoellhamer
1986). Downing et al. (1985) combined an analytic vertical one-
dimensional sediment model with linear eddy viscosity and diffusivity,
the Grant and Madsen (1979) wave-current model, and a horizontal two-
dimensional sediment transport model and obtained reasonable simulation
results based on a comparison with field data from the Sagavonirktok
River Delta in Alaska.
Three-dimensional models permit vertical discretization for
simulation of vertical suspended sediment profiles and density
stratification in addition to vertically variable horizontal transport
by tidal currents, wind-induced circulation, and gravitational
circulation. Sheng and Lick (1979) used vertical two- and three-
dimensional circulation and sediment transport models and a wave-
hindcasting model, in addition to remote-sensing data, to simulate
wind-wave sediment resuspension and transport in Lake Erie. Laboratory
experiments were used to determine settling velocity, critical shear
stress, and erosion rates which were a bilinear function of the excess
shear stress. Wang et al. (1987) used a three-dimensional hydrodynamic
and sediment transport model to simulate sediment transport in Kachemak
Bay, Alaska, but field data were not included in the study. A three-
dimensional hydrodynamic and sediment transport model of the turbidity
maximum in the Weser estuary, Germany, by Lang et al. (1989) was able
to reproduce some of the features present in measured suspended-
sediment concentrations. Hayter and Pakala (1989) applied a three-
dimensional model of estuarine hydrodynamics, sediment transport, and
contaminant transport to the Sampit River in South Carolina but field
data was not available to validate the model. Sheng (1991) and Sheng
et al. (1992) collected field data and successfully applied a three-
dimensional model of hydrodynamics, fine sediment transport, and
contaminant transport to study phosphorus dynamics in Lake Okeechobee,
Florida. A preliminary simulation of three-dimensional sediment
transport in Tampa Bay was performed by Sheng et al. (1992).
Relation of this Research to Previous Studies
The purpose of this research was to improve the understanding and
numerical modeling of sediment resuspension and the vertical transport
of resuspended sediment in the shallow estuarine environment and this
was accomplished by combining three important elements of previous
studies that have not been previously combined. These three elements
are: 1) resuspension by wind-waves in a shallow estuary, 2) field
measurements of suspended-sediment concentrations, and 3) a vertical
sediment transport model. Estuarine sediments and their transport are
important because they may reduce the amount of light penetrating the
water column, may act as a source for adsorbed constituents, and may be
transported to undesirable locations. Estuaries are also biologically
active, and this activity may affect sediment transport. Wind waves
are an important resuspension mechanism in many estuaries (table 1-1),
and they are shown to be an important resuspension mechanism in Old
Tampa Bay in chapter 3. Field measurements of sediment concentrations
are needed to understand estuarine sediment transport processes and to
develop accurate numerical models. Resuspension from the bed and
Table 1-1, Previous studies that are related to this research and
include an estuarine environment, wind waves, field measurements of
suspended-sediment concentrations, or a numerical vertical sediment
transport model.
Estuarine Wind Field Vertical
Environment waves cone. sed. model
Adams and Weatherly (1981) N N N Y
Amos and Tee (1989) Y N Y N
Anderson (1972) Y Y Y N
Baker (1984) Y N Y N
Bedford et al. (1987) Y N Y N
Bohlen (1987) Y N Y N
Cacchione et al. (1987) N Y Y N
Churchill (1989) N N Y N
Costa and Mehta (1990) Y N Y Y
Davies (1985) Y Y N N
Davies et al. (1988) Y Y N N
Downing et al. (1985) Y Y Y N
Drake and Cacchione (1986) N Y Y N
Drake et al. (1992) N Y Y N
Gabrielson and Lukatelich (1985) Y Y N N
Hamblin (1989) Y N Y Y
Hauck (1991) Y Y Y N
Hayter and Pakala (1989) Y N N Y
Kenney (1985) N Y N N
Lang et al. (1989) Y N Y Y
Lavelle et al. (1978) Y Y Y N
Lavelle et al. (1984) Y N Y N
Lavelle et al. (1991) Y N Y Y
Lesht et al. (1980) Y Y Y N
Mehta (1991) N Y Y Y
Perjup (1986) Y Y Y N
Powell et al. (1989) Y N Y N
Roman and Tenore (1978) Y N Y N
Schoellhamer (1991b) Y N Y N
Sheng (1991) N Y Y Y
Sheng and Lick (1979) N Y Y Y
Sheng and Villaret (1989) N N N Y
Sheng et al. (1990b) N Y Y Y
Sheng et al. (1992) N Y Y Y
Stumpf (1991) Y Y N N
Teeter (1986) N N N Y
Uncles and Stephens (1989) Y N Y N
Wang et al. (1987) Y N N Y
Ward et al. (1984) Y Y Y N
Weisman et al. (1987) Y N N Y
Wells and Kim (1991) Y N Y N
West and Oduyemi (1989) Y N Y N
settling of suspended sediment exemplify the importance of simulating
the vertical axis in a numerical sediment transport model.
None of the field and numerical model studies described previously
include estuarine wind-wave resuspension, field measurements of
suspended-sediment concentration, and a vertical sediment transport
model (table 1-1). Studies that include almost all of the elements
include those by Hamblin (1989), Costa and Mehta (1990), Sheng et al.
(1990b), Mehta (1991), and Sheng et al. (1992). Hamblin studied
resuspension by tidal currents near a turbidity maximum, Costa and
Mehta studied resuspension by tidal currents in a high tidal energy
environment, and Mehta and Sheng and his colleagues studied sediment
transport in a large shallow lake. This research used field
measurements of suspended-sediment concentration and a vertical
sediment transport model to study sediment resuspension by wind waves
in an estuary. The numerical model was used as a tool to help analyze
the Old Tampa Bay data and to help determine significant sediment
transport processes in Old Tampa Bay.
CHAPTER 2
SEDIMENT RESUSPENSION DATA COLLECTION METHODOLOGY
In 1987, the U.S. Geological Survey began a study to determine the
effect of fine sediment resuspension on light attenuation in Tampa Bay
and to determine the mechanisms that cause resuspension of fine
sediments. Light attenuation in the waters of Tampa Bay may adversely
affect benthic organisms, seagrasses, and fish and other marine
communities that are dependent upon the seagrasses. Resuspension of
sediment on the bottom of the bay may contribute to light attenuation,
and the mechanisms that cause sediment resuspension in Tampa Bay had
not previously been studied. The author was the project chief for the
study and his duties included project administration, project planning,
data collection, data analysis, presentation of project results at
meetings, and report preparation.
During the U.S. Geological Survey study, pressure, water velocity,
and suspended-solids concentration data were collected in Old Tampa
Bay, a subembayment of Tampa Bay, in order to observe sediment
resuspension events and to determine the hydrodynamic mechanisms that
cause sediment resuspension. In this research, sediment resuspension
data collected from Old Tampa Bay were simulated with a numerical model
of vertical one-dimensional hydrodynamics and sediment transport, and
the model results were analyzed.
Study Area
Tampa Bay is located on the west-central coast of Florida as shown
in figure 2-1. The estuary is Y-shaped, really large (about 1000
Figure 2-1, Old Tampa Bay study area.
km2), shallow (average depth 3.6 meters), vertically well-mixed,
microtidal (spring tide range about 1 meter), and warm (temperature
range from about 14 to 31 "C in 1988 and 1989) (Goodwin 1987, Boler
1990). The northwest subembayment is called Old Tampa Bay and the
northeast subembayment is called Hillsborough Bay. These subembayments
are of most concern ecologically because seagrass loss is more common
and water-quality is probably more impacted by point and non-point
nutrient loading and by reduced tidal flushing (Lewis et al. 1985,
Goodwin 1987). The cities of Tampa, St. Petersburg, and Clearwater are
adjacent to the bay. The subtropical weather includes almost daily
thunderstorms during the summer, occasional storms from winter cold
fronts, and the possibility of tropical storms primarily during the
fall. The river inflow is small compared to the volume of the bay, and
the riverine flushing time, the bay volume divided by the combined
river discharge, is about 2 years (Goodwin 1987). Bottom sediments in
Old Tampa Bay are generally silty very fine sands in the deeper water
(4 meters) and fine sands in shallow water (less than 2 meters) near
the shoreline. Goodell and Gorsline (1961) found clay minerals only in
isolated portions of Old Tampa Bay, and the sedimentology has not
changed significantly since their study (Schoellhamer 1991a).
Sediment Resuspension Monitoring Sites
State variables in an estuary, such as water velocity, salinity,
and suspended-solids concentration, vary spatially and temporally.
Unfortunately, it is neither technically or economically feasible to
obtain complete spatial and temporal coverage when measuring these
variables, so a limited data collection network must be designed that
is representative of a large portion of the estuary. Therefore,
representative sites for resuspension monitoring were selected.
The most important site selection criterion was that a potential
site be at the center of a large area of homogeneous sediment. A
potential problem with monitoring sediment resuspension at one site is
the possibility that horizontal advection may transport suspended
sediment to the site and the resulting increase in suspended-solids
concentration may be mistaken for local resuspension. Selection of a
site in the center of a large homogeneous area of bed sediments reduces
the possibility that more erodible sediments will be transported to the
site and insures that the site is representative of a large fraction of
the bay bottom. Careful data analysis is required to identify the
source of an increase in suspended-solids concentration, and specific
data are discussed in chapter 3. Other criteria were 1) nearly uniform
residual currents over the homogeneous sediment bed, based upon a
depth-averaged two-dimensional barotropic hydrodynamic model by Goodwin
(1987), 2) site location far from ship channels for safety and
homogeneity of bottom sediments and currents, and 3) a secluded
location to reduce vandalism.
The size classification of the bottom sediments in upper Tampa Bay
(north of a line that extends approximately east from St. Petersburg)
were determined with a fathometer and grab samples in 1987 and 1988
(Schoellhamer 1991a). Finer sediments, which are more easily
suspended, are generally found in the deeper parts of the bay. The
fine inorganic bed sediments are commonly in the form of fecal pellets
and organically bound aggregates (Ross 1975). Coarser sediments found
closer to shore in shallower water may experience more wave activity,
however, and also are likely to be resuspended. Thus, selection of a
deeper site with finer sediments and a shallow site with coarser
sediments in Old Tampa Bay was desired.
In Old Tampa Bay, typical deep- and shallow- water sediment
resuspension monitoring sites were selected. A deep-water site
(average depth about 4 meters) was located in the approximate center of
a large area of silty-fine sand at latitude 2757'01" N and longitude
82*37'55" W. The particle size distribution at this site is shown in
figure 2-2, and it has changed little from the 1950's to the 1980's
(Goodell and Gorsline 1961, Taylor and Saloman 1969, Schoellhamer
1991a). The mean particle diameter is 127 pm, and 16% of the material
is fine material (particle diameter less than 63 um). The density of
the bottom sediments is 2.68 g/cm3 and 2.7%, by weight, of the bottom
sediments are organic. A shallow-water site (average depth about 2
meters) was selected 3.0 km south-southwest of the deep-water site in
an area of fine sands on the estuarine shoal at latitude 27o55'30" N
and longitude 8238'33" W. The mean particle diameter is 152 pm, and
the material is 1.5% fine sediment. A submersible instrument package
was used to collect hydrodynamic and sediment resuspension data at the
shallow-water site (Schoellhamer 1990), but only a single point
velocity was measured so the bottom roughness could not be determined.
Therefore, the data collected at the shallow-water site is not well-
suited for numerical modeling and only data collected at the platform
were utilized in this research.
Old Tampa Bay Instrumentation Platform
In June 1988, a platform was constructed at the Old Tampa Bay
deep-water site in order to support sediment resuspension monitoring
instrumentation (fig. 2-3). The platform consists of three vertical
pilings that are the apexes of a 3.7 m equilateral triangle
(Schoellhamer 1990, Levesque and Schoellhamer in press). The pilings
support a triangular galvanized expanded-steel deck approximately 2
I'J i i i i i i i i i iki -i -
80 -
60
40
20
. | a | I I a a I I I I a a a
1000
GRAIN DIAMETER, IN MICRONS
Figure 2-2, Size distribution of bottom sediment at the Old Tampa Bay
platform.
.
Figure 2-3, Old Tampa Bay platform (Levesque and Schoellhamer,
manuscript in review).
meters (average) above the water surface. Water column instrument
sensors were mounted on movable horizontal aluminum arms that were 61-
cm-long and extended perpendicular to a vertical 610-cm-long, 10-cm-
diameter aluminum pipe that was fixed to the center of the steel deck.
The entire pipe structure resembled an inverted tree.
Several types of sensors were deployed from the platform. A
biaxial electromagnetic current meter was mounted at the end of each
horizontal arm, and an optical backscatterance (OBS) suspended-solids
sensor was mounted at the midpoint of each arm. In addition to a
current meter and an OBS sensor, one of the horizontal arms also
supported a pressure transducer for measuring water depth and wave
activity. Wind velocity was measured with a cup anemometer and a wind
vane that were mounted at the top of one platform pile, located about 3
meters above the steel deck. The sensor electronics, data recorder,
and associated power supplies were housed in an aluminum shelter
mounted at one corner of the steel deck. An underwater camera for
taking bottom photographs was not deployed because visibility was
usually insufficient, especially during resuspension events.
Resuspension monitoring instrumentation consisted of Marsh
McBirney Model 512 biaxial electromagnetic current meters, Downing and
Associates Instruments Model OBS-1P backscatterance sensors, and two
types of pressure transducers. The biaxial current meters have a 5.1-
cm-diameter sphere attached very near the end of a 20.3-cm-long metal
rod. The biaxial electromagnetic current meters measure water velocity
using the Faraday principle of electromagnetic induction, where a
conductor (water) moving in a magnetic field (induced by the current
sensor) produces a voltage that is proportional to the water velocity.
The OBS sensors are thumb-size, and they have an optical window at the
relative position of the thumbnail (Downing et al. 1981, Downing 1983).
The optical window is used to transmit an infrared pulse of light that
scatters or reflects off particles in the water up to a distance of
about 10 to 20 cm at angles up to 140* in front of the window. Some of
this scattered or reflected light returns to the optical window where a
receiver converts the backscattered light to an output voltage. For
well-sorted suspended material, the output voltage is proportional to
the suspended-solids concentration and turbidity in the water column.
The calibration of the OBS output to suspended-solids concentration
varies depending on the size and optical properties of the suspended
solids, so the OBS sensors must be calibrated either in the field or in
a laboratory with the same suspended material as is found in the field.
A laboratory evaluation by Ludwig and Hanes (1990) concluded that
instrument response to suspended mud was linear up to a concentration
of 3,000 to 4,000 mg/L, and they recommended that OBS sensors not be
used for the measurement of suspended sand in areas that concurrently
experience suspended mud. Originally, a Geokon vibrating-wire pressure
transducer was used at the platform-site and was eventually replaced
with a Druck strain-gage transducer for improved reliability and
increased sensitivity. Data acquisition, data storage, and sensor
timing were controlled by a Campbell Scientific CR10 data logger. A 5-
minute burst sample of the current meter outputs, OBS sensor outputs,
and the pressure transducer output was collected every hour during
deployments at the platform-site. The burst sample consisted of 1-
second data of all sensor outputs for the duration of the 5-minute
sampling interval. The burst sample was temporarily stored in the data
logger and following the end of the burst sample collection the data
was sent to an external data storage module.
The instruments were submerged continuously when initially
deployed in August 1988. Data was transmitted from the platform in Old
Tampa Bay to the U.S. Geological Survey office in Tampa by a modem and
a cellular phone. Every night, the platform data logger would turn on
a cellular telephone. At the same time, a shore-based personal
computer would automatically call the cellular phone through a modem,
establish communications with the data logger through a modem on the
platform, and issue commands for the data logger to transmit data that
were then stored by the shore-based personal computer. Approximately 2
hours were required to transmit data from 24 burst samples.
Transmission time and power requirements of the cellular phone required
the connection of a deep-cycle 12 volt battery to the solar panel on
the platform, which was accomplished in mid-October 1988. If the
weather conditions were poor during data transmission, the transmission
would fail and cause a loss of data. Both the platform and shore-based
modems used an error checking protocol to help insure accurate data
transmission.
In October 1988, analyses of the available data indicated that the
OBS sensors had fouled, and when the sensors were cleaned by SCUBA
equipped divers, large amounts of marine growth were observed on all of
the sensors. The output from the OBS sensors began to increase as the
sensors fouled, usually about 24 to 48 hours after cleaning, and the
current meters fouled in about seven days. The OBS sensors were coated
with an antifoulant for optical surfaces (Spinard 1987) that only
prevented barnacle growth on the optical surface. The cause of the
fouling was probably an algal slime that would grow on the face of the
sensors and affect their optical properties. In late 1988, when the
instruments were submerged continuously, cleaning dives were conducted
about every two weeks. Therefore, the OBS sensors were fouled most of
the time, and only data collected within 24 to 48 hours of cleaning
were reliable.
The sensor fouling caused by the continuously submerged system
proved to be impractical, and a modification was required, so the
vertical pipe that supported the instruments was attached to an A-frame
and pulley system in December 1988. The vertical pipe was suspended
from an A-frame steel-pipe structure secured to the steel deck that
allowed the vertical pipe to be raised above the water surface for
sensor cleaning and storage. Daily servicing visits to clean the
sensors were usually made when the sensors were deployed, so the
cellular phone and modem were removed from the platform and the data
storage module was exchanged daily during the servicing visits.
Flow around the platform pilings is a potential cause of sediment
resuspension that could affect suspended-solids concentrations at the
platform, so several steps were taken to reduce this possibility and to
determine that any local scour caused by the platform did not
significantly affect concentrations at the platform. Barnacles were
removed from the platform pilings on February 22, 1990, to reduce their
effect on the flow. Scour holes were not observed by divers at the
bases of the pilings, possibly due to bioturbation. The bottom of the
aluminum pipe that supported the instruments was about 20 cm above the
bed to reduce the possibility that it would cause local scour. Four
sets of water samples collected at the platform and 750 and 1500 meters
south-southwest of the platform on November 30, 1989, July 13, 1990,
October 12, 1990, and November 30, 1990, indicate that the average
concentration of suspended-solids at the platform was 6.9 mg/L greater
than the other sites. In March 1990, however, two water samples were
collected at the platform at the same time on 8 different occasions,
and the average concentration difference between concurrently collected
sample pairs was 7.1 mg/L. Thus, the higher observed platform
concentration is equivalent to the sample concentration variation.
Although only a few data points are available, these results indicate
that any local scour caused by the platform did not significantly
affect suspended-solids concentrations at the platform.
Calibration and Output of Electromagnetic Current Meters
The relationship between the output voltages of the
electromagnetic current meters and the water velocity must be known.
The electromagnetic current meters have two separate output voltages,
one for each velocity component, that are linearly related to the water
velocity components. Linear calibration equations are used to convert
output voltages from the meters to water velocities. After
construction and following any repairs, the manufacturer calibrated the
meters by adjusting the output voltages to match specifications. About
annually, the current meter calibrations were checked by the U.S.
Geological Survey hydraulics laboratory at the Stennis Space Center in
Mississippi. The calibration check generally agreed within 10% of the
manufacturers stated calibration values. All calibrations were for
steady flows. If a U.S. Geological Survey calibration was available,
then it was used; otherwise, the manufacturer's calibration was used.
A potential limitation of the electromagnetic current meters used
in this study is a reduction in the meter's output response to short
period water waves, such as wind-waves with 2 to 4 second periods
(frequencies 0.25 to 0.5 Hz). The current meter output response to
short period water waves is reduced by an electronic filter network
that is used to suppress a 60 Hertz carrier signal that is inherent in
the current meter design. At wind-wave frequencies of interest to this
study, the gain (output voltage) of the meters is reduced by the
electronic filter so that actual velocities are greater than the
recorded values.
The recorded velocities can be corrected for the electronic
filtering (Guza 1988). The output filter is an active RC
(resistor/capacitor) 2-pole filter, 6dB per octave rolloff, with a time
constant RC = 0.94 seconds for the meters used in this study. The
filter reduces the magnitude of output signal and the reduction
increases as the frequency of the input signal increases. For a
periodic input signal with angular frequency w, the gain of the filter
is
G(w) [1 + (wRC)2]'2 (2-1)
The filter also causes a phase delay of the output signal. The phase
delay, a negative number in radians, is
4(w) = tan-1 [l/(wRC)] n/2 (2-2)
Equations 2-1 and 2-2 can be applied to correct the recorded data
in the frequency domain. The time series is converted to the frequency
domain via the fast Fourier transform (FFT), resulting in the series
N/2+1
a(l) + 2 Z a(n) cos[(n-l) Aw t] + b(n) sin[(n-l) Aw t] =
n=2
N/2+1
2 a(n) cos[(n-l) Aw t] + b(n) sin[(n-l) Aw t] +
n-l
N
2 a(n) cos[(n-N-l) Aw t] + b(n) sin[(n-N-l) Aw t] (2-3)
n=N/2+2
for which N is the number of data points, a power of 2, the angular
frequency increment Aw-2r/(NAt), At is the time interval of the data,
and the Fourier series coefficients a(2)-a(N), b(2)=-b(N), a(3)-a(N-l),
b(3)--b(N-l), ., a(n)=a(N-n+2), b(n)--b(N-n+2), .
a(N/2)=a(N/2+2), b(N/2)=-b(N/2+2). The left hand side of the equality
is how the Fourier series is commonly presented and the right hand side
is how the FFT algorithm represents the Fourier series, which is
visually more complicated but computationally more efficient. Each
discrete frequency w is represented by a sine and cosine term that can
also be written as
a(n) cos(wt) + b(n) sin(wt) = c(n) cos(wt+e(n)) (2-4)
in which the magnitude is
c(n) ( a(n)2 + b(n)2 ) (2-5)
and the phase is
e(n) tan1 (b(n)/a(n)) (2-6)
The corrected magnitude at the frequency w is
c (n) = c(n)/G(w) (2-7)
and the corrected phase is
e (n) = e(n) + 4(w) (2-8)
The corrected Fourier series coefficients are
ac(n) cc(n) cos[ c(n)] (2-9)
bc(n) cc(n) sin[ c(n)] (2-10)
The inverse FFT is then applied to the corrected Fourier coefficients
to determine the corrected velocity time series. Guza and Thornton
(1980) found that the significant wave height from pressure and
velocity sensors agreed within 20%, and similar agreement occurred
between pressure and corrected velocity data from platform sensors at
the same elevation in November 1990. Raw wave spectra from pressure
and corrected velocity data were also in good agreement, so the
corrected velocities seem to be reasonable.
Response Threshold and Biological Interference of OBS Sensors
Ambient suspended-solids concentrations were often below the
response threshold of the OBS sensors, and biological interference with
the sensors was a potential problem (Schoellhamer, manuscript to be
published in Marine Geology). The sediment load of the rivers that
flow into Tampa Bay is small and Tampa Bay is microtidal, so the
ambient suspended-solids concentrations are also small, about 10 to 50
mg/L. Due to the response threshold of OBS sensors, accurate
interpretation of OBS data may be difficult except during episodic
events that resuspend bottom sediments. Backscatterance from
phytoplankton may be detected when suspended-solids are at ambient
concentrations. The OBS sensor electronics were factory adjusted in
mid-1989 to improve their sensitivity, which diminished but did not
eliminate these problems. Laboratory calibrations of the OBS sensors
with bottom sediments from the platform site did not agree with the
suspended-solids concentrations of collected water samples, so the
sensors were calibrated with water sample data. The standard error of
an OBS sensor in Old Tampa Bay is 5.8 mg/L, based upon a set of 21 OBS
measurements and water samples collected from an elevation 70.1 cm
above the bed by an automatic water sampler during a storm in March
1990 (fig. 2-4). Shallow depths, high water temperatures, and
eutrophic conditions encouraged biological growth on the OBS sensors
that sometimes increased their output voltages and invalidated the
data, so daily cleaning were desirable.
Fish would sometimes interfere with the OBS sensors. During dives
and instrument cleaning, it was noted that fish would sometimes be
congregated around the instrumentation and occasionally would swim past
the OBS sensors. The infrared light pulse would reflect off the fish
02
C-
O
12Z
0-
en Zj
60
0U
C.
60
40 -
20 -
0-
30
0 0
0
0
00 O
0 o
35 40 45 50 55 50 65
MEDIAN OBS OUTPUT, IN MILLIVOLTS
Figure 2-4, Suspended-solids concentration and median OBS sensor output
70 cm above the bed at the Old Tampa Bay platform, March
1990 (Schoellhamer, manuscript to be published in Marine
Geology).
and produce a high spike (short-duration increase in output voltage)
during the burst sample collection. Usually no more than a few spikes
would occur during a burst, but they were large enough to significantly
affect the resulting mean value for the burst, so the median value
proved to be a simple and more appropriate measure of the OBS burst
average than the mean value. Regular sensor maintenance and careful
data analyses to identify spikes and fouling were used to minimize
abnormalities in OBS data.
Water Sample Collection
Water samples were collected manually and automatically at the
platform. The water samples were usually analyzed by the methods of
Fishman and Friedman (1989) to determine specific conductance,
turbidity, and concentrations of suspended-solids, volatile suspended-
solids, and dissolved chloride. At the Old Tampa Bay platform, point
water samples used for the calibration of the OBS sensors were
collected each day from each OBS sensor depth using a peristaltic pump
connected to tygon tubing that was attached at the end of a long pole
that was lowered to the desired depth.
A continuous water sample collection technique was required for
accurate suspended solids monitoring during storm events and nighttime.
An automatic water sampler was secured in one corner of the steel deck
of the Old Tampa Bay platform, beginning with deployments in March
1990. A SIGMAMOTOR Model 6601 automatic water sampler, connected to
nylon-reinforced teflon-tubing, collected an OBS calibration point
sample every hour at one OBS depth for the duration of most instrument
deployments. The water sampler was set to sample during the sensor on-
time.
Instrument Deployment Strategies
Sediment resuspension monitoring instrumentation was deployed
intermittently in Old Tampa Bay from 1988 to 1990. As mentioned
previously, instrumentation was continuously deployed from the Old
Tampa Bay platform in fall 1988. Analyses of the data indicated that
bottom sediment resuspension did not occur with normal or spring tidal
currents. Waves generated by strong winds were determined to be the
most likely sediment resuspension mechanism in Old Tampa Bay. In
Florida, the typical sources for strong winds are winter storm systems,
tropical storms, and summer thunderstorms. Therefore, in late 1989 and
1990, instrumentation was deployed in Old Tampa Bay before the
anticipated arrival of selected meteorological events. The automatic
water sampler was set up at the platform, the instruments were tested,
and the vertical pipe that supported the instruments was lowered into
the water and secured to the steel deck at the beginning of each
deployment. The submersible instrument package was also deployed at
the shallow-site shortly after the platform instrumentation was
deployed. Weather permitting, daily servicing trips were made to clean
sensors, retrieve data, and collect water samples. The vertical pipe
was secured out of-the water, and the submersible instrument package
was recovered several days after being deployed.
CHAPTER 3
SEDIMENT RESUSPENSION DATA AND ANALYSIS
Data collected intermittently from 1988 to 1990 in Old Tampa Bay
shows that sediment resuspension coincided with wind-waves generated by
strong sustained winds associated with storm systems (Schoellhamer
1990, Schoellhamer and Levesque 1991, Schoellhamer manuscript in
review). Tidal currents were too weak to resuspend measurable
quantities of sediment at the Old Tampa Bay platform, but some bottom
sediment motion probably did occur because of the stochastic nature of
the process (Lavelle and Mofjeld 1987a). Suspended-solids
concentrations returned to ambient values within several (4 to 8) hours
as wave activity diminished.
Sediment resuspension data collected at the Old Tampa Bay platform
during storms in March 1990 and November 1990 were suitable for
numerical simulation, and these data and the analysis of these data by
Schoellhamer (manuscript in review) are presented in this chapter.
Instrumentation deployments at the Old Tampa Bay platform are
summarized in table 3-1. Platform data collected in March 1990 and
November 1990 were suitable for simulation because net sediment
resuspension occurred and both hydrodynamic and suspended-solids
concentration data were collected successfully. Several data sets were
collected during which the OBS sensors could not be calibrated,
sediment resuspension was not observed, or instruments malfunctioned.
Data collected during two tropical storms unfortunately were not
suitable for numerical simulation, but these data and the analysis of
Table 3-1.--Old Tampa Bay platform instrumentation deployments.
Instrumentation
deployment
dates
Fall 1988
Sept 20-21, 1989
Nov 28-30, 1989
March 8-10, 1990
July 11-13, 1990
Oct 9-12, 1990
Nov 28 -
Dec 3, 1990
Hydrodynamic
data
available
Suspended-solids
concentration
data available
Net sediment
resuspension
observed
Y Y
these data by Schoellhamer (manuscript in review) are presented and
compared to the March and November 1990 data. Hydrodynamic data, but
no suspended-solids concentration data, were collected successfully
during tropical storm Keith November 21-24, 1988. No hydrodynamic data
were collected successfully during tropical storm Marco in October
1990. The limited data collected during tropical storms Keith and
Marco indicate that tropical storms can resuspend more sediment than
winter storms can resuspend.
The bottom roughness at the Old Tampa Bay platform was determined
with equation 1-5 and velocity profiles collected during several
instrumentation deployments. Velocity profiles that were measured
during periods of small wave motion and during relatively strong flood
and ebb tides were used. Velocity data collected 183 cm above the bed
were not used because the values usually were not logarithmic compared
to velocities closer to the bed. Data collected before and immediately
after sediment resuspension events did not indicate that bottom
roughness changed significantly. Bottom photographs taken by divers
were not useful due to poor visibility. Divers observed that the bed
was nearly flat with some undulations, possibly from bioturbation, and
that there were no regular bed forms. Thus, bed load transport at the
platform probably was not significant, except possibly during major
sediment resuspension events. The bottom sediment included 16% fine
material, and it is possible that this was the material that was
observed in suspension and that the sandy material either did not move
or did not create ripples that significantly affected the data. The
analysis of the velocity data produced an optimal bottom roughness
equal to 0.3 cm, and the bottom roughness regime was usually
transitional between the rough and smooth limits. The total bottom
roughness is composed of contributions from form drag and grain
roughness, but only the roughness associated with the particles
determines particle motion (Vanoni 1975, McLean 1991). Spatially-
averaged grain shear stress can be calculated by collecting velocity
data within the flow layer adjacent to the bed that is influenced by
grain roughness or by applying empirical relationships based on ripple
geometry (Smith and McLean 1977). For this study, however, velocity
data could not be collected close enough to the bed to recognize
different bottom roughness scales, and no regular ripples were
observed. Therefore, in this chapter, the total shear stress
calculated with the total bottom roughness was used to determine the
sediment resuspension mechanisms at the platform. The spatially-
averaged grain shear stress was estimated by the numerical model that
is presented in chapter 4. For a given particle diameter, a calculated
total shear stress that is greater than a critical shear stress (such
as Shields critical shear stress, fig. 1-1) may not indicate that
motion will occur because not all of the total shear stress is acting
on the grains and biological activity may increase the critical shear
stress.
March 1990 Storm
Data were collected at the Old Tampa Bay platform after a cold
front moved through the Tampa Bay area on March 8, 1990. The high
pressure system behind the front generated 8- to 9-meter-per-second
sustained northeasterly winds from 1100 to 2100 hours on March 8 (fig.
3-1, table 3-2). Wave activity increased as a result of the sustained
northeasterly winds, providing favorable conditions for sediment
resuspension. Operational equipment at the platform consisted of
electromagnetic current meters at elevations of 70 and 183 cm above the
z
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1200 1800
MARCH
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2400 0600
MARCH
1990 9
120
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1200 1800
MARCH
8
2400 0600
MARCH
loon 9
Figure 3-1, Measured and calculated quantities at the Old Tampa
Bay platform, March 1990
S70 CM ABOVE BED
T 183 CM ABOVE BED
/\
v \
\v1 V. .
1200
Table 3-2.--Old Tampa Bay platform data, March 8, 1990.
Hour Water
depth
___ (cm)
1400 402.4
1500 410.2
1600 409.8
1700 405.7
1800 399.1
1900 395.4
2000 398.1
2100 405.4
2200 413.9
2300 420.3
Mean current
(cm/s) at elev
70 cm 183 cm
3.8 4.7
1.4 1.3
3.4 4.8
8.3 9.6
8.9 9.5
2.6 2.7
0.6 4.2
8.7 10.0
7.8 8.7
5.7 7.0
Wind
speed
(m/s)
9.2
8.1
8.4
8.6
8.5
8.6
8.1
8.3
6.0
5.8
Wave
amp.
(cm)
38.2
30.8
30.0
26.4
27.7
30.8
21.6
26.2
24.8
14.0
Wave
period
(sec)
2.46/2.43
2.78/2.53
2.64/2.50
2.69/2.52
2.46/2.52
2.75/2.54
2.15/2.41
2.31/2.42
2.27/2.35
2.19/2.58
Suspended-solids
conc. (mg/L)
24 cm 70 cm 183 cm
54.0 42.0 44.0
66.0 47.9 44.0
58.0 47.9 49.1
74.0 51.5 47.8
98.0 68.2 59.3
86.0 67.0 63.2
71.9 62.2 52.9
53.9 45.6 44.0
44.0 43.2 40.1
42.0 42.0 36.3
Wave periods are maximum energy of the surface amplitude spectrum/zero
upcrossing period of the squared bottom orbital velocity spectrum.
bed and OBS sensors at 24, 70, and 183 cm above the bed. Water samples
were collected from 1500 March 8 to 1100 March 9 at a position 70 cm
above the bed using the automatic water sampler. In addition, discrete
water samples were manually collected during instrument on-time once
each day throughout the instrument deployment (March 8 10) at the
elevations of the OBS sensors and analyzed for suspended-solids
concentration. The discrete samples were used to calibrate the output
of the OBS sensors to suspended-solids concentration, and the automatic
samples validated the calibration of the OBS sensor 70 cm above the
bed. The suspended-solids concentrations (fig. 3-1) peaked at 1800
hours March 8, then decreased rapidly. No data was successfully
recorded before 1400 hours on March 8 because of a power supply
problem, but the suspended-solids concentrations for the first platform
measurement at 1400 hours were slightly greater than the upper limit of
the observed ambient concentrations (20 to 40 mg/L), which indicates
that only the initial resuspension was missed.
The temporal variation in the bottom shear stresses calculated
from the measured mean current with equation 1-5 did not correspond to
the temporal variation of the measured suspended-solids concentrations.
The mean current speeds measured 70 and 183 cm and the bottom shear
stresses calculated from the mean current speed 70 cm above the bed are
shown in figure 3-1. A bottom roughness of 0.3 cm was used. A small
ebb tide from 1600 hours to 1900 hours March 8 and a small flood time
from 1900 hours March 8 to 0100 hours March 9 had maximum speeds of
about 9 cm/s and increased the mean current bottom shear stress to
about 0.15 dynes/cm2, but these increases are not correlated with the
observed suspended-solids concentrations. A strong ebb tide at the
platform during a period of relatively little wave activity from 0200
to 0900 hours March 9 had maximum speeds of 12 to 16 cm/s and increased
the mean current bottom shear stress to 0.28 dynes/cm2, but apparently
did not resuspend bottom sediments. This total (grain and form) shear
stress is smaller than the Shields critical shear stress for the
platform sediment. The mean current during the morning of March 9 was
relatively large for the platform site, and the lack of a corresponding
increase in suspended-solids concentration indicates that the tidal
currents did not generate enough shear stress to resuspend bottom
sediments at the platform site. The suspended-solids concentrations
did not correlate with mean current bottom shear stress (r=-0.4, table
3-3).
Horizontal advection is not a likely cause of the observed
increase in suspended-solids concentration because the tidal excursion
was within the large area of homogeneous sediments that surrounded the
platform and sediments further upcurrent were probably not resuspended.
The tidal excursion of the small ebb tide from 1600 to 1900 hours
(about 750 meters) was within the large area of silty very fine sands
that surrounded the platform. The ebb tidal flow was from the
northwest to the southeast at the platform, so the most likely source
of resuspended sediment for transport to the platform during an ebb
tide was resuspension in relatively shallow water 1500 meters northwest
of the platform and within 500 meters of the southern side of the
Courtney Campbell Causeway. The wind was from the northeast, however,
so wind waves were not approaching the southern side of the causeway,
and resuspension was unlikely.
Wave properties were calculated using spectral analysis. Usually,
buoy acceleration or pressure data are used to calculate the energy
spectrum, but the pressure transducer was only partially responding to
Table 3-3.--Correlation coefficients for various wave properties and
bottom shear stresses with suspended-solids concentrations at the Old
Tampa Bay platform, March 1990.
Shear stress: mean current only
Shear stress: wave only (Kamphius 1975)
Shear stress: wave only
(Grant and Madsen 1979 and 1982)
Shear stress wave-current
(Grant and Madsen 1979)
Wave amplitude
Bottom orbital velocity
Square of bottom orbital velocity
Elevation of measured
suspended-solids concentration
24 cm 70 cm 183 cm
-0.29 -0.41 -0.52
0.74 0.61 0.70
0.73
0.73
0.73
0.74
0.69
0.59
0.59
0.66
0.61
0.58
0.68
0.67
0.78
0.70
0.66
the changes in pressure from wave activity, so the velocity component
pairs measured by the lowest current meter were used to calculate the
energy spectra after correcting the raw data for the electronic output
filter of the electromagnetic current meters as described in chapter 2.
The wave energy was located almost exclusively at wave periods from 2
to 3 seconds, and the maximum energy period of the surface amplitude
spectrum was selected to represent the wave period. The zero-
upcrossing period of the squared bottom orbital velocity spectrum
(square root of the second moment divided by the zero moment), however,
is probably more indicative of wave periods that affect the bottom
shear stress. Table 3-2 indicates that these periods are similar, and
the interpretations that result from this analysis are not affected by
this difference. For narrow banded spectra such as these, the
significant wave amplitude is twice the square root of the area under
the wave spectrum (Ochi 1990). Significant wave amplitudes calculated
with data from the current meter 70 cm above the bed (fig. 3-1)
corresponded with the wind speed and decreased after 2200 hours March
8. The wave amplitude was somewhat correlated with the suspended-
solids concentrations (r=0.7, table 3-3). The waves during the storm
(1400 to 2100 hours) were transitional between the deep-water and
shallow-water limits, but as the wind diminished the waves became deep-
water waves. The maximum orbital particle velocities calculated from
linear wave theory based upon the significant wave amplitude were close
to measured values, so the calculated wave properties appeared to be
reasonable. The bottom orbital velocity (fig. 3-1) decreased in
conjunction with the wind speed. Note that only a single wave
amplitude and period are considered, whereas realistically, there are
many periods and amplitudes present in the wave field. Thus, the
results of the spectral analysis were used to provide approximate wave
data in a consistent manner.
The bottom orbital velocities corresponded with the observed
suspended-solids concentrations. The bottom orbital velocities were
9.8 to 16 cm/s until 1900 hours March 8 and during this time the
suspended-solids concentrations increased from slightly greater than
ambient values to the maximum values measured during the deployment.
After 1900 hours March 8, the waves were deep-water waves, the bottom
orbital velocities were less than 7 cm/s, and the suspended-solids
concentrations decreased to ambient values in the early morning of
March 9. Thus, resuspension seems to have occurred during the period
of greatest wave activity, and the resuspended sediments settled as the
wave action diminished. The bottom orbital velocity and squared bottom
orbital velocity were somewhat correlated with suspended-solids
concentrations (r=0.7, table 3-3).
The calculated bottom orbital velocity and estimated maximum
bottom shear stress were more dependent on the water depth and wave
period than the wave amplitude. The bottom orbital velocity increases
with increasing wave amplitude, increasing wave period, and decreasing
mean water depth. A sensitivity analysis was performed to investigate
the relative importance of wave amplitude, wave period, and mean water
depth on the bottom orbital velocity calculation for this data set.
Typical storm values for this data set are a significant wave amplitude
of 30 cm, a maximum energy period of 2.6 seconds, and a water depth of
400 cm. A 10% increase in wave amplitude, a 10% increase in wave
period, and a 10% decrease in water depth, increase the bottom orbital
velocity 10, 29, and 25%, respectively. The bottom orbital velocity
during resuspension at the Old Tampa Bay platform was more sensitive to
wave period and mean water depth than wave amplitude because the waves
are depth transitional. The maximum bottom shear stress is
proportional to the square of the maximum bottom orbital velocity (eqn.
1-11), so an error in the estimated bottom orbital velocity may
severely degrade the estimated bottom shear stress. For example,
assuming that the wave friction factor is unchanged, if a 10%
overestimate of the wave period produces a 29% overestimate of the
maximum bottom orbital velocity, then the maximum bottom shear stress
will be overestimated by 66%.
The maximum bottom shear stresses estimated for wave motion only
are much greater than the bottom shear stresses estimated for the mean
current only and correspond to the suspended-solids concentrations.
Equation 1-11 and friction coefficients determined empirically
(Kamphius 1975) and theoretically (eqn. 1-13, Grant and Madsen 1979,
1982) were used to estimate the maximum bottom shear stress for the
observed bottom roughness (fig. 3-1). The estimated bottom shear
stress considering wave motion only is much greater than the estimated
bottom shear stress considering the mean current only. The greatest
wave shear stress occurred during the period of sediment resuspension
on March 8 and the wave shear stress is somewhat correlated with
suspended-solids concentration (r=0.7, table 3-3).
Poor knowledge of the behavior of the wave friction factor for
regime transitional waves may account for the differences between the
results of the two methods for calculating the wave only bottom shear
stress (fig. 3-1). The waves were transitional between the laminar
(smooth bottom) and fully turbulent (rough bottom) flow regimes.
Kamphius (1975) states that the data used to determine the friction
factors for regime transitional waves are poorly ordered and that the
resulting values should be used with caution. Grant and Madsen (1979)
state that their approach is applicable to regime transitional waves
but fully rough turbulent flow has previously been assumed (Drake and
Cacchione 1986, Drake et al. 1992, Cacchione et al. 1987, Grant and
Madsen 1979 and 1982, Signell et al. 1990).
The maximum wave-current bottom shear stresses were estimated with
the Grant and Madsen (1979) model (fig. 3-1). Estimated maximum bottom
shear stresses were greatest from 1400 to 1900 hours during which time
the suspended-solids concentration increased. This qualitative
behavior and the correlation coefficient with suspended-solids
concentration for the wave-current bottom shear stress (r=0.7, table 3-
3) are virtually identical to that for the maximum bottom shear
stresses estimated considering wave motion only.
Compared to the bottom shear stress estimated by the Grant and
Madsen model for wave motion only (eqns. 1-11 and 1-13) and the sum of
this wave shear stress and the mean current shear stress (eqn. 1-5),
consideration of wave-current interaction slightly increases the
estimated bottom shear stress, but this increase is smaller than the
uncertainty associated with the wave friction factor. During the
period of greatest wave activity from 1400 to 1900 hours, the maximum
bottom shear stresses estimated with the wave-current model were 9%
greater than those estimated considering waves only (eqns. 1-11 and 1-
13) and 6% greater than the sum of the mean current (eqn. 1-5) and wave
only shear stresses. The maximum wave bottom shear stress during this
period calculated with the friction factor diagram by Kamphius (1975)
is 44% greater than the shear stress calculated with the friction
factor of equation 1-13. Therefore, for this data set, the estimated
maximum bottom shear stress seems to be more sensitive to the selected
estimation procedure than the possible effect of wave-current
interaction.
Because the waves at the platform are depth transitional, the
bottom orbital velocity and estimated wave bottom shear stress are also
sensitive to the wave period and water depth and errors in these
quantities can produce large errors in the wave bottom shear stress, as
discussed previously. A similar sensitivity analysis of the wave-
current model using a water depth of 400 cm, wave period of 2.6
seconds, wave amplitude of 30 cm, an angle between the wave and current
of 150 degrees, a 0.3 cm bottom roughness, and a mean velocity of 10
cm/s at an elevation 70 cm above the bed indicates that a 10% increase
in wave amplitude, a 10% increase in wave period, and a 10% decrease in
water depth, increases the maximum wave-current bottom shear stress 14,
39, and 37%, respectively. The maximum wave-current bottom shear
stress was relatively insensitive to 10% changes in mean velocity (4%),
angle (0.4%), and bottom roughness (4%). Selection of a representative
wave period from a measured wave spectrum is probably the most likely
source of inaccuracy.
The sediment resuspension observed on March 8, 1990, at the Old
Tampa Bay platform was caused by increased wave motion associated with
strong and sustained northeasterly wind. The bottom shear stresses
estimated by considering the mean current only were much less than the
maximum bottom shear stresses estimated by considering wave motion
only. Wave-current interaction may have contributed to the bottom
shear stress, but this difference is not as significant as the
differences associated with the selected wave period and the selected
procedure used to calculate the wave friction factor. The period of
the largest estimated wave and wave-current shear stresses corresponds
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