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| Dedication | |
| Acknowledgement | |
| Table of Contents | |
| List of Tables | |
| List of Figures | |
| List of symbols | |
| Abstract | |
| Literature review, basic concepts,... | |
| Bulk sampling, properties, and... | |
| Laboratory tests, results, and... | |
| Field work, results, and discu... | |
| Conclusions and recommendation... | |
| References | |
| Appendix A: Physical and index... | |
| Appendix B: Mineral and chemical... | |
| Appendix C: Project No. 1: Southwest... | |
| Appendix D: Project No. 2: Astatula... | |
| Biographical sketch |
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Page i Dedication Page ii Acknowledgement Page iii Page iv Page v Table of Contents Page vi Page vii List of Tables Page viii List of Figures Page ix Page x Page xi Page xii List of symbols Page xiii Page xiv Abstract Page xv Page xvi Literature review, basic concepts, and purpose and scope of this study Page 1 Page 2 Page 3 Page 4 Page 5 Page 6 Page 7 Page 8 Page 9 Page 10 Page 11 Page 12 Page 13 Page 14 Page 15 Page 16 Page 17 Page 18 Page 19 Page 20 Page 21 Page 22 Page 23 Page 24 Page 25 Page 26 Page 27 Page 28 Page 29 Page 30 Page 31 Page 32 Page 33 Page 34 Page 35 Page 36 Page 37 Page 38 Page 39 Page 40 Page 41 Page 42 Page 43 Page 44 Page 45 Page 46 Page 47 Page 48 Page 49 Page 50 Page 51 Page 52 Page 53 Page 54 Page 55 Page 56 Page 57 Page 58 Page 59 Page 60 Page 61 Page 62 Page 63 Page 64 Page 65 Page 66 Page 67 Page 68 Page 69 Page 70 Page 71 Page 72 Page 73 Page 74 Page 75 Page 76 Page 77 Bulk sampling, properties, and sample preparation Page 78 Page 79 Page 80 Page 81 Page 82 Page 83 Page 84 Page 85 Page 86 Page 87 Page 88 Page 89 Page 90 Page 91 Page 92 Page 93 Page 94 Laboratory tests, results, and discussion Page 95 Page 96 Page 97 Page 98 Page 99 Page 100 Page 101 Page 102 Page 103 Page 104 Page 105 Page 106 Page 107 Page 108 Page 109 Page 110 Page 111 Page 112 Page 113 Page 114 Page 115 Page 116 Page 117 Page 118 Page 119 Page 120 Page 121 Page 122 Page 123 Page 124 Page 125 Page 126 Page 127 Page 128 Page 129 Page 130 Page 131 Page 132 Page 133 Page 134 Page 135 Page 136 Page 137 Page 138 Page 139 Field work, results, and discussion Page 140 Page 141 Page 142 Page 143 Page 144 Page 145 Page 146 Page 147 Page 148 Page 149 Page 150 Page 151 Page 152 Page 153 Page 154 Page 155 Page 156 Page 157 Page 158 Page 159 Page 160 Page 161 Page 162 Page 163 Page 164 Page 165 Page 166 Page 167 Page 168 Page 169 Page 170 Page 171 Page 172 Page 173 Page 174 Page 175 Page 176 Page 177 Page 178 Conclusions and recommendations Page 179 Page 180 Page 181 Page 182 Page 183 Page 184 Page 185 References Page 186 Page 187 Page 188 Page 189 Page 190 Page 191 Page 192 Page 193 Appendix A: Physical and index properties of the research clay Page 194 Page 195 Page 196 Page 197 Appendix B: Mineral and chemical properties of the research clay Page 198 Page 199 Page 200 Page 201 Page 202 Page 203 Page 204 Page 205 Page 206 Page 207 Page 208 Page 209 Page 210 Page 211 Page 212 Page 213 Page 214 Page 215 Page 216 Appendix C: Project No. 1: Southwest Alachua landfill top cover Page 217 Page 218 Page 219 Page 220 Page 221 Page 222 Page 223 Page 224 Page 225 Page 226 Page 227 Page 228 Page 229 Page 230 Page 231 Page 232 Page 233 Page 234 Page 235 Page 236 Page 237 Page 238 Page 239 Page 240 Page 241 Page 242 Page 243 Page 244 Page 245 Page 246 Page 247 Page 248 Page 249 Appendix D: Project No. 2: Astatula ash residue monofill (hazardous solid waste) Page 250 Page 251 Page 252 Page 253 Page 254 Page 255 Page 256 Page 257 Page 258 Page 259 Page 260 Page 261 Page 262 Page 263 Page 264 Page 265 Page 266 Page 267 Page 268 Page 269 Page 270 Page 271 Page 272 Page 273 Page 274 Page 275 Page 276 Page 277 Page 278 Page 279 Page 280 Page 281 Page 282 Page 283 Page 284 Page 285 Page 286 Page 287 Page 288 Page 289 Page 290 Page 291 Page 292 Page 293 Page 294 Page 295 Page 296 Page 297 Page 298 Biographical sketch Page 299 Page 300 Page 301 Page 302 |
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PREDICTION OF HYDRAULIC CONDUCTIVITY OF CLAY LINERS: A FIELD AND LABORATORY STUDY By SADIK JAFFER AL-MUSAWE A DISSERTATION PRESENTED TO THE GRADUATE SCHOOL OF THE UNIVERSITY OF FLORIDA IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF DOCTOR OF PHILOSOPHY UNIVERSITY OF FLORIDA 1990 To All Al-musawe Family Members: Now and forever with all my love. ACKNOWLEDGMENTS First and foremost I would like to thank sincerely and whole heartedly my advisor and supervisory committee chairman, Dr. Paul Y. Thompson, for his much needed help, guidance, and continuous supervision in every aspect of my Ph.D. degree program and this research project. Dr. Thompson was directly instrumental in my leaving Georgia Institute of Technology and joining the University of Florida. At a time when everything looked dark, he took me under his wing and gave all and every support I needed to carry on. Without him I could not have finish my Ph.D. at this University. He is the one who selected this research project out of a number of proposed ones. Dr. Thompson instantly put me in contact with MFM Industries who ended up financing most of the expenses of the research project. He was there whenever I needed him during the course of this research. I do not have proper words to express my gratitude to him, but I will say that I shall always be his student, and he will always be my professor. Special thanks and acknowledgments go to the cochairman of my supervisory committee, Dr. David Bloomquist, whose willingness to help went above and beyond the call of duty. iii I am deeply grateful to him for his participation in most of the discussions concerning the experimental works. He supplied me with a quick and instantaneous solution to every problem I faced throughout the Ph.D. program and the research project. Dr. Bloomquist was there for me whenever I needed him. I always have and will consider him as friend. I would like to sincerely thank the members of my supervisory committee: Chairman of Department of Geology, Dr. Anthony F. Randazzo, Professor Wally H. Zimpfer, and Dr. Fazil T. Najafi for their invaluable comments during frequent discussions about various aspects of this research project. I am deeply grateful for their encouragement and moral support during the whole of my Ph.D. program. I shall never forget their friendship. Sincere thanks and appreciation go to MFM (Mid Florida Mining) Industries located in Ocala, Florida, for their sponsorship of this research. MFM Industries have supplied me with all the materials that I needed for testing and paid all the expenses that I incurred in the course of this research. Special thanks and acknowledgments go to the former president of MFM Industries, Mr. Allen Edgar, and Mr. Allen Stewart, P.E, Project Manager with MFM Environmental, for their continuous support in each and every aspect of the research project. Their frequent comments and inputs were invaluable. Without them this research would not have been possible. Many thanks and appreciation go to Messrs. James B. Abbott, P.E (Assistant Public Works Director) and Allen Ellison (Landfill Operations Supervisor) of Waste Management Department, Alachua County; Miss Claire E. Bartlett, Director of Solid Waste Department, Lake County; and Mr. Earl Holmes of ERC, Inc., in Orlando for their invaluable support for the field work. Without them all field work would not have been possible. They also supplied me with all the field documentation about the S.W. Alachua and Astatula Landfills. TABLE OF CONTENTS ACKNOWLEDGEMENTS .......................... ..... ... iii LIST OF TABLES ........................................ viii LIST OF FIGURES........................................ .. ix LIST OF SYMBOLS ...................................... xiii ABSTRACT ............................................... xv CHAPTERS 1 LITERATURE REVIEW, BASIC CONCEPTS, AND PURPOSE AND SCOPE OF THIS STUDY.................... ...... 1 Definition of the Problem........................ 1 Clay Liner and Landfill Technology............... 3 Background Information of Previous Work Related to this Study ....................... ........... 4 Purpose and Scope of this Research Project....... 43 2 BULK SAMPLING, PROPERTIES, AND SAMPLE PREPARATION ....................... ............... 78 Bulk Sampling. ................................ 78 Properties of the Project Clay.................. 79 Sample Preparation ............................... 81 3 LABORATORY TESTS, RESULTS, AND DISCUSSION........ 95 Laboratory Hydraulic Conductivity Tests........... 95 Soil Suction and Saturation vs. Density vs. Moisture Content................................ 97 Hydraulic Conductivity vs. Sample Thickness....... 106 Hydraulic Conductivity vs. Number of Layers...... 111 Hydraulic Conductivity vs. Hydraulic Gradient.... 116 Conductivity vs. Unit Weight vs. Time............ 118 Moisture Content Distribution After Conductivity Tests ................... ............... ..... 121 Laboratory Desiccation Tests ..................... 122 4 FIELD WORK, RESULTS, AND DISCUSSION............... 140 Field Infiltration Tests ............ ......... .... 140 Southwest Alachua Landfill-Top Cover.............. 147 Astatula Ash Residue Monofill-Bottom Liner....... 151 5 CONCLUSIONS AND RECOMMENDATIONS................. 179 Conclusions ...................................... 179 Recommendations................................... 184 REFERENCES.............. ................................. 186 APPENDICES A PHYSICAL AND INDEX PROPERTIES OF THE RESEARCH CLAY.................................. ............ 194 B MINERAL AND CHEMICAL PROPERTIES OF THE RESEARCH CLAY.................................... 199 C PROJECT NO. 1: SOUTHWEST ALACHUA LANDFILL TOP COVER ..................................... .. 218 D PROJECT NO. 2: ASTATULA ASH RESIDUE MONOFILL (HAZARDOUS SOLID WASTE) ............................... 251 BIOGRAPHICAL SKETCH ............ ...................... 299 vii LIST OF TABLES Table Page 1 Methods of Measuring Suction.................... 47 2 Saturated Salt Solution versus Relative Humidity......................................... 48 3 Various Parameters for Three Permeameters ...... 40 4 Comparison of Range of Index and Physical Properties of the Project Clay.................. 92 5 Average Temperature vs. Depth Along Soil Sample. 125 6 Comparison of Conductivity Values Obtained by Different Methods (S.W. Alachua Landfill-Top Cover)........................................... 164 7 Comparison of Conductivity Values Obtained by Different Methods (Astatula Field Test Strips).. 165 8 Comparison of Conductivity Values Obtained by Different Methods (Astatula Western and Eastern Evaporation Basins) ............................. 166 viii LIST OF FIGURES Figure 1 Examples of Natural Liners........................ 2 Types of Compacted Liners......................... 3 Typical Landfill Section and Components............ 4 Hydrological Cycle as Applied to Landfill System.. 5 Zones of Laminar and Turbulent Flow................ 6 One-Dimensional Schematic of Consolidation Cell Permeameter................................... .. 7 Schematic of Flexible Wall Permeameter............ 8 Schematic of Rigid Wall Permeameter............... 9 Schematic of Mariotte Tube......................... 10 Schematic of Single and Double Ring Infiltrometers.................................... 11 Schematic of a Sealed-Double Ring Infiltrometer... 12 Soil Suction versus Water Content................ 13 Soil Suction versus Conductivity.................. 14 Scales for Reporting Suction Values................ 15 Filter Paper Calibration Curves.................... 16 Conductivity vs. Dry Unit Weight vs. Molding Water Content for Two Different Clays.............. 17 Summary of Laboratory and Field Infiltration Tests ................. ..... ................... 18 Conductivity vs. Confining Pressure................ Page 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 19 Conductivity vs. Degree of Saturation vs. Aging... 68 20 Conductivity vs. Sample Diameter.................. 69 21 Conductivity vs. Aging............................ 70 22 Conductivity vs. Sample Height................... 71 23 Conductivity vs. Plasticity Index................. 72 24 Conductivity vs. Pore Volume...................... 73 25 Schematic of Single Ring Infiltrometer and Suction Head....................................... 74 26 Suction vs. Water Content......................... 75 27 Distribution of Soil Saturation after Field Infiltration Tests ............................... 76 28 Field Conductivity vs. Time...................... 77 29 Cross Section of the Laboratory Rigid Wall Permeameter............................... ..... 93 30 Cross Section of the Steel Sleeves Used in Field Infiltration Test and Undisturbed Sampling........ 94 31 Degree of Saturation vs. Dry Unit Weight vs. Moisture Content .................................. 126 32 Suction vs. Filter Paper Water Content............ 127 33 Soil Suction vs. Dry Unit Weight vs. Moisture Content .......................................... 128 34 Hydraulic Conductivity, Dry Unit Weight, Saturation, and Porosity vs. Sample Thickness..... 129 35 Hydraulic Conductivity, Dry Unit Weight, Saturation, and Porosity vs. Number of Layers for 1.5" Sample .................................... 130 36 Hydraulic Conductivity, Dry Unit Weight, Saturation, and Porosity vs. Number of Layers for 4.6" Sample ................. .. ..... ......... 131 37 Hydraulic Conductivity, Dry Unit Weight, Saturation, and Porosity vs. Number of Layers for 12" Sample.................................... 132 38 Hydraulic Conductivity vs. Hydraulic Gradient for 4.6" One Layer Sample ......................... 133 39 Hydraulic Conductivity vs. Hydraulic Gradient for 4.6" Three Layer Sample....................... 134 40 Hydraulic Conductivity vs. Elapsed Time............ 135 41 Moisture Content vs. Depth of 1.5" Sample.......... 136 42 Moisture Content vs. Depth for 12" Sample......... 137 43 Hydraulic Conductivity vs. Elapsed Time for Desiccated Sample ................................. 138 44 Moisture Content vs. Depth for Desiccated Sample Before and After Hydraulic Conductivity Test...... 139 45 Field Infiltration Test Setup...................... 167 46 Location and Vicinity Map of S.W. Alachua Landfill........................................... 168 47 Field Infiltration Test Locations and Cross Section (S.W. Alachua Landfill-Top Cover)......... 169 48 Various Scales of Reporting Hydraulic Conductivity Values .............................. 170 49 Location and Vicinity Map of Astatula Ash Residue Monofill Landfill......................... 171 50 General Location of Test Strips, Landfill, and Evaporation Basins ................................ 172 51 Test Strips Showing Dimensions and Locations of All Performed Field Tests........................ 173 52 Schematic of Typical Soil Block Showing All Dimensions ........................................ 174 53 Average Dry Unit Weight vs. Depth of Soil Block... 175 54 Average Moisture Content vs. Depth of Soil Block.. 176 55 Typical Desiccation Crack Study Location and Cross Section .................................. 177 56 Hydraulic Conductivity vs. Hydraulic Gradient on Field Obtained Sample (Astatula Western Evaporation Basin) ................ ..... ............ 178 xii LIST OF SYMBOLS A Cross Sectional Area of Soil Sample Ac Percent Activity of Soil Ad Discharge Area and Equal to A Ar Percent Area Ratio As Seepage Area a Cross Sectional Area of the Small Standpipe D Diameter of Soil Sample e Void Ratio of Soil Gs Specific Gravity of Soil Solid Ho Hydraulic Head Difference Applied to Soil Sample Hs Suction Head Within Soil Sample i Hydraulic Gradient K Steady State/Saturated Hydraulic Conductivity (Permeability) Ki Transient Hydraulic Conductivity/Coefficient of Infiltration L Length of Soil Sample LL Percent Liquid Limit n Percent Porosity ne Percent Effective Porosity xiii PL Percent Plastic Limit PI Percent Plasticity Index Q Quantity of Water Discharged R Drainage Impedance S Percent Degree of Saturated T Time V Velocity of Discharge Vs Velocity of Seepage Discharge w Percent Moisture Content Yd Dry Unit Weight yw Wet/Moist/In-situ Unit Weight xiv Abstract of Dissertation Presented to the Graduate School of the University of Florida in Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy PREDICTION OF HYDRAULIC CONDUCTIVITY OF CLAY LINERS: A FIELD AND LABORATORY STUDY By Sadik Jaffer Al-musawe December 1990 Chairman: Dr. Paul Y. Thompson Cochairman: Dr. David Bloomquist Major Department: Civil Engineering Low hydraulic conductivity clay soils are used in landfills to impede the movement of leachate down to the natural groundwater table. Hence, hydraulic conductivity is an important soil property in the design and assessment of liner thicknesses and integrity. Because of the sensitivity of hydraulic conductivity to many factors, there are no standard laboratory or field testing methods, and therefore, there exists wide variation in predicted values. A local natural clay soil, "Terra-Seal Natura Premix@," was used for this study because this soil is used in the construction of a number of landfills in Florida. A series of rigid-wall permeameter tests were performed for a quantitative prediction of hydraulic conductivity variation as a function of sample thickness, number of layers, hydraulic gradient, porosity, degree of saturation, dry unit weight, and time. The variation of moisture content versus depth for the fully saturated samples was found to vary significantly. Measurements were also made of the variation of partially saturated soil suction with dry unit weight and moisture content. A number of field infiltration tests were conducted at two existing landfill projects, and coefficients of hydraulic infiltration were measured. Using these values and the amount of suction obtained in the laboratory, saturated hydraulic conductivities were predicted. These predictions agreed very closely with those obtained in the laboratory by the author and others. Desiccation cracks, depth versus dry unit weight, and moisture content variations were studied in the field. Three test strips, constructed using one, two, and three layers, were subjected to equal compactive energies. Variations of dry unit weight and moisture content with depth were found to be the least for the one layer strip. The surfaces of all test strips were cracks, of which the depth and width varied. Covering the test strips with Visqueen did not prevent cracking but did minimize it. In the laboratory, the effect of these cracks on the hydraulic conductivity diminishes after 16 hours of testing. Field hydraulic conductivity can be predicted accurately and efficiently by the method developed in this study. xvi CHAPTER 1 LITERATURE REVIEW, BASIC CONCEPTS, AND PURPOSE AND SCOPE OF THIS STUDY Definition of the Problem Hydraulic conductivity of soil has become the most important property in geotechnical and geo-environmental engineering, agronomy, agriculture, and in all fields that involve seepage and drainage of water and industrial liquids through soil. Yet it is the most varied, least known, least studied, and most difficult soil property to determine. In one of the geotechnical and geo-environmental engineering areas where a reliable and accurate estimate of the hydraulic conductivity is most needed is in the determination of the clay liner thicknesses. Clay liner is a soil layer of certain thickness consisting of sandy silty clay with low hydraulic conductivity. Clay-lined facilities have been used extensively for the containment and disposal of hazardous and nonhazardous solid and liquid waste. Occasionally slowly permeable natural clay-rich deposits were relied upon to retard the movement of leachate and liquids from landfills or surface impoundments. Presently, in most cases, remolded layers of soils with laboratory hydraulic conductivities of 1 10-7 cm/s or less have been used with the intention of retaining leachate and liquids. There is an increasing body of data which indicates that hydraulic conductivity of in situ (recompacted) clays may be greater than those measured on samples in the laboratory (Daniel 1987, Mitchell 1976, Schmid 1966, Sowers 1979). Although there is no set standard for laboratory hydraulic conductivity tests on clays, all existing methods yield comparable values. Major errors in the laboratory values are due to the large sample disturbances, relatively small dimensions of the tested samples, and the very large applied hydraulic gradient. On the other hand, proposed field methods are complicated, difficult to run, time consuming, require lengthy analysis, require highly technical personnel, very sensitive to minor errors in the setup, and do not resemble a laboratory setup (Chen et al. 1986, University of Texas, College of Engineering 1990, Gorden et al. 1989, Hamilton et al. 1979, Mitchell 1976, Olsen and Daniel 1979, Peirce et al. 1987(b), Schmid 1966, Stewart and Nolan 1987, Wit 1966). The major errors in field values of hydraulic conductivity are mainly caused by soil suction (capillary pressure) which is due to incomplete saturation of the soil and the ability of the permeant liquid (water) to travel in both vertical and horizontal directions (Daniel 1984, Stewart and Nolan 1987). Clay Liner and Landfill Technology A clay liner (sometimes referred to as soil or earthen liner) may be manmade (compacted), or a naturally occurring deposit (not disturbed). Natural clay liners are formed by aquitards or aquiclude. Wastes may be buried wholly within a natural clay liner (Fig. 1A ), partially within a natural liner (Fig. 1B), or as in Fig. 1A and Fig. 1B but not within a natural liner (Fig. lC). Manmade liners consist of a horizontal liner, an inclined liner, or a cover over a landfill (Fig. 2). The soil in these liners can be either naturally occurring soils or manmade soils by the mixing of natural soils with one or more different materials. In either case, the soils must meet set specifications concerning fineness content, clay content, plasticity index, liquid limit, and moisture content. The soil then is placed in horizontal layers with suitable thicknesses and compacted to achieve a certain dry unit weight. A typical section of a landfill containment system, including typical dimensions of various components, is shown in Fig. 3. The clay liner impedes or controls outward seepage of contaminant-laden fluids from the structure. The leachate collection and removal system conveys fluids off the clay liner to collection sumps and where the liquid is removed. The final cover impedes or eliminates infiltration of meteoric water into the refuse, thereby controlling leachate generation. The entire concept of waste containment is basically the successful interruption of the natural hydrological cycle, as depicted in Fig. 4. Background Information of Previous Work Related to this Study This investigation deals with the hydraulic conductivity of naturally occurring soils as clay liners. Therefore, only similar previous work will be dealt with in this literature review. Note, however, that the concepts are the same in either case. Although the principle of hydraulic conductivity was recognized in 1911, its application to landfill liners became extensive in the last 10 years when landfill technology started to surface. Early work included studies of simple prediction of the transient time of a wetting front and the seepage rate after achieving saturation (Green and Ampt 1911). This study is still frequently used and commonly referred to as the Green-Ampt model. Hydraulic Conductivity of Saturated Clay Soils Hydraulic conductivity is the speed with which water flows through soil media under unit hydraulic gradient. The laws by which this flow takes place are very well understood in sand and coarser grained soils but are still under debate for clay soils. Flow can be classified as one-, two-, or three-dimensional. One-dimensional flow is flow in which all the fluid parameters, such as pressure, velocity, temperature, etc., are constant in any cross section perpendicular to the direction of flow. These parameters can vary from section to section along the direction of flow but are generally assumed to be constant. This in turn means that the soil media is assumed to be homogeneous. In two- dimensional flow, the fluid parameters are the same in parallel planes, whereas in three-dimensional flow, the fluid parameters vary in three coordinate directions. For the purpose of analysis, in all the literature reviewed and in all geotechnical engineering applications, flow problems are assumed to be at most two-dimensional. Flow can also be described as laminar (zone I, Fig. 5), where the fluid flows in parallel layers without mixing, or turbulent (zone III, Fig. 5), where random velocity fluctuations result in mixing of fluid and internal energy dissipation. There can also be intermediate or transition states between laminar and turbulent flow. These states are shown in Fig. 5. The flow in most soils is considered laminar when the particle size is less than 0.05 cm and uniform size, with a low seepage velocity, and a hydraulic gradient (i) of one (Holtz and Kovacs 1981, Mitchell 1976, Lambe and Whitman 1979, Sing 1967, Taylor 1948). In case of clays, the flow is laminar when the particle size is 0.0002 cm or less, particles are not of uniform dimension, the hydraulic gradient is always much greater than one, and the seepage velocity is very high. D'Arcy (1856) showed experimentally that for clean sands in zone I, V = K i (1) (Darcy's Law) where K = hydraulic conductivity, saturated hydraulic conductivity, Darcy coefficient of permeability, or permeability (cm/s), V = Q/A*T = discharge velocity (cm/s), i = Ho/L = hydraulic gradient (cm/cm). Therefore, equation 1 becomes K = (Q L)/(A T Ho) (2) where Q = quantity of discharge (cm3), A = cross sectional area of soil (cm2), T = time (s), Ho = hydraulic head difference applied to soil (cm), and L = length of flow path in soil (cm). Another concept in fluid mechanics is the law of conservation of mass, and for incompressible steady state flow; this law reduces to the equation of continuity: q = Q/T = Vi AI = V2 A2 = constant where q = rate of discharge (cm3/s), VI, V2 = velocities of flow at section 1 and 2, A1, A2 = cross sectional areas of soil at section 1 and 2 The velocities of flow outside the soil media (V or Vd) are not the same as the seepage velocity (Vs) of flow inside the soil media, or V = Vd = n Vs, (4) where n = percent porosity, and since the water can only seep through the connected pores, V = Vd = ne Vs, (5) where ne = percent effective porosity Using the above notations and combining equations 1, 2, and 3, q = V A = { [Q / (T A ne )]} * A = (K Ho A)/L, (6) (3) and by simplifying, K = (Q L)/(A T Ho ne) (7) Currently only equations 1 and 2 are used to obtain hydraulic conductivity for all types of soil, including clays. Prediction of Hydraulic Conductivity of Saturated Clays Techniques for measuring hydraulic conductivity in coarse-grained soils (falling head or constant head tests in the laboratory, and pump tests from wells in the field) are very well established and standardized. Techniques for measuring hydraulic conductivity in fine-grained (clays) soils, however, are not very well known or standardized. The reason for this is that past practice frequently has been to assume that clays are effectively "impervious," and therefore, attempts to measure their hydraulic conductivity were not undertaken. But with the progression of landfill use and technology, the need for measuring hydraulic conductivity has become very important and vital in order to monitor the water and leachate movements over many hundreds of years, thereby providing parameters necessary to protect the integrity of the groundwater below the landfill. Empirical methods Many empirical formulas exist for predicting the saturated hydraulic conductivity of soils with a particle size greater than 0.0002 cm (sand). This is mainly because the sand has particles that are uniformly distributed and spherical in shape which result in pores that are relatively uniform in size and distribution. Clays, on the other hand, have particles that are flaky, less than 0.0002 cm in size, have large electrically charged surface areas, and many types of pores with different sizes and distributions. However, there are two known empirical equations that can be used with large inaccuracy to predict the hydraulic conductivity (k) in clayey soils. These are 1. Kozeny-Carman equation (Mitchell 1976, Sing 1967, Taylor 1948): k = K (I/.1) = [1/(Po t2 So2)] [n3/(l-n)2] (8) where k = intrinsic permeability or permeability (terminology used in hydraulic and fluid mechanics engineering) in cm2, p = viscosity of water in g s/cm2, yw = unit weight of water in g/cm3, Po = pore shape factor (2.5 for sand), and t = tortuosity factor (20.5 for sand). 2. Loudon's Formula (Sing 1967): Logio (K Ss2) = a + b n (9) where Ss = specific surface of soil particle in cm2/cm3, a = constant = 1.365 at 10oC for sand, and b = constant = 5.15 at 10oC for sand. Laboratory methods One-dimensional consolidation cell permeameter. A typical one-dimensional consolidation cell permeameter consists of a 4 to 10 cm diameter by 1.9 to 10 cm high consolidation ring mounted in a cell as shown in Fig. 6. A reservoir of water surrounding the consolidation ring maintains atmospheric pressure at the effluent end (top) of the specimen. The hydraulic pressure at the base of the sample is controlled using the system described by Olsen and Daniel (1979). The hydraulic conductivity can be calculated by K = (C cc j,)/(1 + e) (10) where C = coefficients of consolidation in cm2/s, cc = compressibility in 1/(g/cm2), and e = void ratio. Flexible-wall permeameter. Hydraulic conductivity tests with flexible-wall (triaxial type) devices are performed typically using the cell shown in Fig. 7. Interchangeable base pedestals permit testing of specimens with a diameter between 2 and 15.2 cm and with a wide range of heights ranging from 2 cm to 20 cm. Double drainage lines to both the top and bottom of the test specimen are used to flush air bubbles out of the lines. The spare drainage lines are also used in conjunction with an electrical pressure transducer to measure pore-pressure response during back pressuring of the soil, and to measure the pressure drop across the specimen. There are two standard test types that use the flexible-wall permeameter. 1. Constant head: In this test, the hydraulic gradient (i = Ho/L) is maintain constant and the volume of discharge (Q) is measured during a time (T). The hydraulic conductivity is calculated using equation 2. For fine- grained soils the constant head is typically applied using a Mariotte bottle similar to that shown in Fig. 9. Such equipment is designed to apply only small heads (a few feet of water) so it is most useful with rather pervious soils or in a case where prolonged testing times can be tolerated. The main advantages of constant head tests are the simplicity of interpretation of data and the fact that use of constant head minimizes confusion due to changing volume of air bubbles when the soil is not saturated. 2. Falling head: This is a more common test for fine- grained soils in which the time (T) for the hydraulic head to drop from one level (H1o) to a lower level (Ho2) in a volumetric tube (typically a pipet or a buret with cross sectional area (a)) due to flow through a soil sample of cross sectional area (A), and length (L), is measured. The hydraulic conductivity is calculated using K = [(a L)/(A T)] In Hol/Ho2 (11) The advantages of using this procedure are that small flows are easily measured using the pipet or buret. The observation time may still be long, in which case corrections for water losses due to evaporation or leakage may be added. The testing time may be reduced by increasing the flow rate by superimposing an air pressure (Ap) on top of the water in the pipet, thus increasing the heads by a certain amount equal to Ap/y . Rigid-wall permeameter. The Rigid-wall (compaction- wall) permeameter consists of a 10 cm diameter compaction mold with variable heights. The mold is clamped between two acrylic end plates and sealed with either gaskets or O-rings, as indicated in Fig. 8. The soil is either allowed or not allowed to swell. The influent water is usually stored in a separate device which contains an air-water interface inside a glass pipet. The pressure acting on the water is controlled with an air pressure regulator. Flow quantities are measured by reading the position of the air-water interface inside the pipet. The effluent water is collected in a reservoir that is open to atmospheric pressure. The drainage line leading to the permeameter is saturated with water, but no back pressure is applied nor is the effluent line de-aired. Both falling and constant head test methods can be used with the rigid-wall permeameter as described above together. The same equations are used to calculate the hydraulic conductivity (i.e., equation 11). Field methods The soils in landfill liners are not saturated soils and, therefore, cannot be considered saturated soils. Consequently, the existing field methods of determining hydraulic conductivity for saturated soils cannot be used. However, if the soils are saturated, then the hydraulic conductivity can be measured in the field by drilling a hole in the ground, measuring the rate of flow of water into or out of the hole and using an appropriate formula to calculate the conductivity (Harr 1962, Lambe and Whitman 1979, Olsen and Daniel 1979, Schmid 1966). Tests may be performed at a constant head by establishing a high head of water in the borehole and pumping at a rate sufficient to maintain this head. Also, tests may be made with a variable head, that is, with the head set at a nonequilibrium value initially and then measured as a function of time with no further pumping. Other field test methods are used and sometimes erroneously called "field hydraulic conductivity tests." These are actually field infiltration tests (ASTM 1989, Bagchi et al. 1985, Bond and Collis-George 1981, University of Texas, College of Engineering, 1990, Daniel 1984, Gorden et al. 1989, Hamilton et al. 1979, Kraatz 1977, Stewart and Nolan 1987). This is because the soil below the testing apparatus cannot be completely saturated. Two relatively simple test set-ups, single and double ring infiltrometer, are shown in Fig. 10. A more complex setup is shown in Fig. 11 (University of Florida, Department of Geology and Civil Engineering, 1990). In all three test arrangements the function of the outer ring is to prevent lateral flow of water during the tests. All suggested tests are complicated, very sensitive, time consuming, not rugged, expensive, require lengthy analysis, and require a highly technical person to perform them. Prediction of Hydraulic Conductivity in Partially Saturated Clays A practical science for prediction of moisture migration in partially saturated soils has not been fully developed for unsaturated soils for two main reasons. First, there has been a lack of an appropriate science with a theoretical base. Second, there has been a lack of practical technology to render engineering practice economically viable. There is a need for further experimental studies and case histories to substantiate the available concepts and theories (Fredlund 1979). This summary includes a brief review of the concepts of moisture flow in partially saturated soils, including analysis techniques for application to geotechnical problems. Basic concepts and definitions Water in soil is continuously under the influence of one or more forces that determine its energy status or potential. There are four types of potential gradients that cause flow of water through soil--hydraulic, electric, chemical, and thermal. However, under most circumstances the hydraulic and chemical gradients do exist. Hydraulic potential includes the gravitational and matrix components. Chemical potential is often referred to as osmotic potential. The total potential is the sum of the component potentials, or Total = Oh + (e + Oc + (t (12) where 0 stands for potential energy. (h = hydraulic potential Oe = electric potential Oc = chemical potential t = thermal potential The potential is expressible physically in at least three ways (Cedergren 1977, Harr 1962, Mitchell 1976): 1. Energy per unit mass. This is a fundamental expression of potential, using units of ergs per gram or joules per kilogram. 2. Energy per unit volume. This yields the dimensions of a pressure (e.g., kilopascals, atmospheres, or pounds per square inch). This expression is convenient for the osmotic and pressure potentials. 3. Energy per unit weight (hydraulic head). This is the height of a liquid column corresponding to the given potential. This expression of potential is certainly simpler, and often more convenient, than the preceding expressions. Hence, it is common to characterize the state of soil water potential in terms of water head in centimeters, meters, or feet. Consideration of the potential is important because of its relation to the movement of water in soils. The gravitational component of potential is due to the continuous downward action of the Earth's gravitational field. The higher the elevation, the greater the potential. Matric potential is due to capillary action, which in turn depends on the adhesion between soil and water and cohesion between water molecules. If free water is adsorbed by soil without a change in elevation, its potential energy is decreased, the extent of decrease being a function of how tightly the water is attracted to the soil. Matric heads are also referred to as suction heads and are always negative in sign. Matric potential varies directly with the soil water content; that is, as the water content is increased toward saturation, the matric potential increases toward its maximum value, which is zero at full saturation, as shown in Fig. 12 (Hillel 1971). Osmotic forces represent the attraction between dissolved ions and water. The higher the concentration of ions, the greater the osmotic forces. Like matric forces, osmotic forces reduce the potential of water, which causes the osmotic potential to be negative in sign. The rate of water flow through soils depends on two factors: (1) the driving force (potential gradient), which is normally taken as the change in water potential per unit of distance, and (2) the conductivity, or the ability of the soil to transmit water. The conductivity, as used here, is analogous to the hydraulic conductivity for saturated flow. The coefficient is multiplied by the gradient to obtain fluid velocity. The higher the water content, the higher the conductivity. The water content affects the ability of the soil to transmit water for several reasons, principally by influencing the total cross sectional area of pores through which water flows, the amount of friction encountered, which is maximum where water moves in thin films close to soil particle surfaces, and the length of flow path through the pore. Figure 13 (Hillel 1971) shows the typical relationships between conductivity and suction for two partially saturated soils, sand and clay. Infiltration is the entry of surface applied water into, and its movement through, soil. Infiltration is normally assumed to occur in response to the combined influence of matric and gravitational forces. The advance of water is along a boundary known as the wetting front. During wetting, at least a thin saturated zone is maintained at the surface where water first enters the soil. Since the pores in this zone are water filled, they exhibit a maximum and constant conductivity equal to the hydraulic conductivity. The magnitude of saturated conductivity is very important in determining how fast water can infiltrate and move through the soil. Evidence of this fact is that sands, which have a high hydraulic conductivity when saturated, have a relatively high infiltration rate during wetting. An important characteristic of soil wetting is that it slows with time. There have been several reasons cited for this decrease in velocity of the wetted front. Colloids in 19 the soil may swell and reduce the pore size, or fine material from the surface may be washed into the soil, plugging up the pores. The continuous sheet of water above the soil and in the upper layer of soil makes it difficult for the air in the soil to escape and to make room for further water to enter. Potential gradient across the wetted front zone decreases as the potential difference is dissipated over a widening wetted front region (Hillel 1971). Prediction of moisture flow in partially saturated soils The success of a field hydraulic conductivity prediction depends quite heavily on the prediction of the depth and extent of the wetted zone, because water is the main factor in saturating the soil, thus allowing the saturated hydraulic conductivity to be measured. The prediction of moisture movement in partially saturated soils is very complicated because of the following potential variabilities associated with the soil, water, and driving forces. 1. Soil type, gradation, structure, and dry unit weight. 2. Amount and type of dissolved salts. 3. Temperature changes in space and time. 4. Moisture changes in space and time. 5. Soil suction and conductivity changes with moisture content, temperature and dissolved salts. 6. Nonlinearity of the conductivity versus soil suction curve. 7. Hysteretic nature of the conductivity versus soil suction relationship. 8. Difficulty in obtaining accurate measurements of soil suction and conductivity. 9. Volume change upon inundation. 10. Sources of moisture differ in their character by way of amount of available water, rate of supply, and location within the soil profile. 11. Soil anisotropy and inhomogeneity. 12. Thickness of soil profile. 13. Water properties change according to temperature, dissolved salts, and capillary attraction. 14. Soil fluids including adsorbed water, free liquid water, water vapor, and air. 15. In situ stress conditions and mechanisms are not easily defined. 16. Boundary conditions for analysis are related to environmental conditions which are difficult to predict. Since the beginning of the twentieth century, the problem of partially saturated flow has been studied by physicists, soil scientists, hydrologists, petroleum engineers, and geotechnical engineers. The following is a brief review of some of the more known studies. Buckingham (1907) developed the following equation as the general fluid flow law. Q = 1 S (13) where Q = the mass of water per square centimeter, S = i = Y/Dx = gradient of capillary attraction, and X = ki = capillary conductivity = infiltration coefficient. He noticed that both the capillary conductivity and the soil suction pressure change with water content. Green and Ampt (1911) studied the motion of a wetting front through the soil and developed the following equation: dV/dt = A (dl/dt) n (14) where V = volume of liquid water, 1 = depth of water infiltration, and n = porosity. The combination of this equation with Poiseuille's law of flow in capillary tubes was used to develop the Green-Ampt wetting front motion equation. Richards (1931) used the general equation of motion of viscous fluid, the Navier Stokes equation: 22 dv/dt = F V (P/Pw) + (A/Pw) (V V v/3 + V V v) (15) where dv/dt = acceleration, F = external or body forces = V *, V P/Pw = force due to pressure gradient, and (g/Pw) (V V v/3 + V V v) = expression of viscous retarding forces. V = del operator = a/ax + a/ay + a/az Richard used Darcy's law (1856) to describe the fluid flow and the continuity equation to develop the following equation: V q = yd (ae/at) (16) where V q = divergence of the flow, Yd = dry unit weight, O = volumetric moisture content, and a9/at = rate of change of moisture content. Richards then related the soil suction changes to the moisture variations. oW/o = Cc = capillary capacity (17) Combining equations 17 and 18 with Darcy's law, and extending to three dimensions, the following flow expression was obtained: K V2 Y + (aKx/ax) (Y/a/x) + (aKy//y) (a~/ay) + g (aKz/az) (Di.az) =- yd A (~iy/at) (18) where K = hydraulic conductivity, y = total potential, and -Yd A h/a8t) = rate of volume change of fluid. Philip and de Vries (1957) combined the equations of liquid flow and vapor flow into the following equation: ae/1t = V (DT V T) + V (Do VO) + aK/az (19) where DT = DTliq + DTvap = thermal moisture diffusivity and Do = Deliq + DOvap = isothermal moisture diffusivity. Blight (1971) suggested that Fick's law represented gas transport better than did Darcy's law. The diffusivity in Fick's law (D) which relates mass flux (am/at) and pressure gradient (aP/az) is a constant. On the other hand, the conductivity relating velocity and pressure gradient varies with the pressure gradient. Fick's law can be stated as m/t = D (aP/az) (20) Philip (1969) stated Darcy's law as v = K(8) V# (21) where v = vector flow velocity, K(O) = conductivity, a function of 0, 0 = total potential = y(O) + Z, y(0) = capillary pressure potential, a function of 0, and e = volumetric water content. He combined the continuity equation a80/t = V v (22) with Darcy's law to write the following diffusion equation: a9/at = V (K V ) + aK/lz (23) Defining the diffusivity D = K (dV/a8), Philip rewrote equation (20) as follows: ae/at = V (D VO) + (aK/aO) (Oa/az) (24) The diffusivity (D) is analogous to the coefficient of consolidation Cv in the consolidation equation. Bear (1979) separated partially saturated flow into three ranges: 1. Pendular saturation at very low saturation levels leads to almost no flow or pressure transfer. 2. Equilibrium water saturation or the funicular saturation at which both the soil air and the soil water are continuous. 3. Insular saturation, high saturation levels at which the air phase is no longer continuous. Bear defined the piezometric head in both the saturated and the partially saturated zones as total potential, including both a gravity term and a pore water pressure term, as = z + AV (25) where V = P,/'y for saturated soil, V = Pc/yw for partially saturated soil, z = Elevation head (potential), Pw = Pore water pressure, Yw = Unit weight of soil, and P, = capillary pressure Mitchell (1976) discussed the validity of the Kozeny-Carmen equation for partially saturated soil (Kozeny 1927, Carmen 1956): k = K (P/Yp) = [(Cs Vs2)/So2] [e3/(l+e)] s3 (26) where k = permeability, K = hydraulic conductivity, g = viscosity of the permeant, yp = unit weight of the permeant, Cs = pore shape factor, Vs = volume of solid, e = void ratio, s = degree of saturation, and So = specific surface per unit volume of particles. Although this equation works well for the description of conductivity in uniformly graded sands and some silts, serious discrepancies are found in clays. The major factor responsible for failure of the equation in clays is that the fabrics of such materials do not contain uniform pore sizes. Particles are grouped in clusters or aggregates that result in large intercluster pores and small intracluster pores. Measurement of matric suction Matric suction determination is useful in analyzing fluid flow through partially saturated soils. Measurements of suction can be made by several techniques as shown in Table 1. Soil suction potential is often measured as a negative water head. The absolute value of the logarithm to base ten of suction heads in centimeters is defined as the "pF" value, a common expression of soil suction. One atmosphere of suction is approximately equal to a "pF," value of 3, a suction head equal to 103 centimeters of water. The logarithmic unit PF is preferred because most of the soil behavior is linearly related to suction in PF units. Qualitatively, a PF value of about 2 corresponds to a very wet condition, 3.5 PF corresponds to the plastic limit, and a value of approximately 6 PF is the driest condition for soil. The following is a summary of the most used techniques of measuring soil suction (Mitchell 1976, McKeen 1988, Kohnke 1968): 1. Piezometers. Water in the piezometer communicates with the soil through a porous stone or filter. Pressures are determined from the water level in a standpipe, by a manometer, by a pressure gauge, or by an electronic pressure transducer. A piezometer used to measure pressures less than atmospheric is usually termed a tensiometer. Piezometers are often used to measure positive pore water pressures. 2. Gypsum block. The electrical resistance across a gypsum block is measured. The water held by the gypsum block determines the resistance, and the suction in the surrounding soil controls the amount of moisture in the gypsum block. The gypsum block technique is used for measurements of pore pressures less than atmospheric (Kohnke 1968). 3. Pressure-membrane devices. An exposed soil sample is placed in a membrane or a ceramic plate in a sealed chamber. Air pressure in the chamber is used to push water from the pores of the soil through the membrane. The relationship between soil water content and applied pressure is used to establish the relationship between soil suction and water content. The applied pressure at a given water content is taken as the soil suction for that same water content. 4. Consolidation tests. The consolidation stress applied to a sample is taken as the soil water suction when the sample is in "equilibrium" with respect to fluid flow. If the consolidation pressure were instantaneously removed, then a negative water pressure of the same magnitude would be needed to prevent water movement. 5. Vapor pressure methods. The relationship between relative humidity and water content is used to establish the relationship between soil water content and soil suction. The soil is allowed to come to equilibrium with an atmosphere of known relative humidity in a sealed constant-temperature room or container. The relative humidity may be controlled by a solution having a concentration of 3.3% of sulfuric acid (H2S04) in water, whose aqueous vapor pressure corresponds to 98% relative humidity, or PF 4.5. Figure 14 (McKeen 1988) shows various scales for reporting suction values. The disadvantages of using a dilute solution for this purpose is that its concentration may change during the determination because water is given off or received from the soil sample. Therefore, the concentration of the H2SO4 has to be checked and adjusted. More recently, saturated salt solutions have been used for establishing more stable vapor pressure levels for determining the relationship between soil suction and soil water content in the dry range. The saturated salt solutions have the advantage that their vapor pressure remains the same as long as the solutions are in equilibrium with the solid phase, provided that the temperature remains constant. Change of soil water content does not alter the vapor pressure of such a solution as long as part of the solid phase of the salt is remaining. Table 2 shows five examples of saturated salt solutions used to obtain water vapor tensions at a temperature equal to 25oC (Kohnke 1968). The United States Geological Survey (McQueen and Miller 1968) developed a filter paper method for measurement of suction on field gathered samples which were returned to the laboratory for evaluation. The method employs a filter water content versus relative humidity curve, which has been calibrated using salt solution. The filter paper is placed with the soil sample in a temperature controlled closed container for at least a seven-day period for the purpose of reaching equilibrium. The water content of the filter paper and the soil are measured, and the suction is inferred using the calibration curves as shown in Fig. 15 (McQeen and Miller 1968). The advantage of the filter paper method is that it is theoretically applicable over a very wide range of suction values. 6. Freezing-point-depression method. From saturation to a total tension of about 2 or 3 atmospheres, the freezing point of water changes very little. From a tension of 3 to about 25 atmospheres, there is a pronounced change of the freezing point. Beyond this level, there is so little water in the soil that it becomes practically impossible to determine its freezing point. Therefore, the best range to determine total tension by the freezing-point-depression method is from PF 3.5 to 4.4. 7. Centrifuge. The centrifuge can be used to determine the amount of soil moisture retained against particular centrifuge forces. Briggs and McLane (1907, 1910) have developed a technique in which a wet sample of soil is subjected to a centrifugal force 1000 times the force of gravity for 40 minutes. The resultant water content is called the moisture equivalent (similar to "field capacity"). In this centrifuge test, the results are only used to provide qualitative data for comparisons of suction between various soil types (Kohnke 1968). 8. Thermocouple psychrometer. A psychrometer is defined as two similar thermometers with the bulb of one being kept wet so that the loss of heat that results from evaporation causes it to register a lower temperature than the dry thermometer; the difference between the two temperature readings represents a measure of the dryness of the atmosphere and is called the wet bulb depression. From this information, the relative humidity can be computed. For more details and discussion, refer to McKeen (1988). Factors Affecting the Prediction of Saturated Hydraulic Conductivity of Clay Liners Several investigators have addressed the influence of various factors on the measurement of the saturated hydraulic conductivity of compacted clays both in the laboratory and in-situ (Acar et al. 1987, Bagchi et al. 1985, Berystorm 1985, Bogardi et al. 1989, Boynton and Daniel 1985, Carpenter and Stephenson 1986, Daniel 1984, Elzeftawy and Cartwright 1979, Gorden et al. 1989, Korfiatis et al. 1987, Mitchell and Younger 1966, Mitchell 1976, Oakley 1987, Olsen et al. 1979, Peirce et al. 1987(a), Schmid 1966, Siva et al. 1979, Stewart and Nolan 1987, Taylor 1948, Wit 1966). Therefore, the factors affecting the prediction of saturated hydraulic conductivity will be separated into laboratory and field factors, and each will be briefly reviewed. Laboratory factors Several investigators have studied the many factors that affect the measurement of the saturated hydraulic conductivity of compacted clays in the laboratory. Broadly speaking, the factors influencing hydraulic conductivity can be classified into three categories. 1. Testing apparatus factors. These factors are associated with testing variables such as type of permeameter, confining pressure, direction of flow, and hydraulic gradient. The three most common types of permeameters are the consolidation cell, rigid wall, and flexible wall. These permeameters were discussed previously. a. Type of permeameter. Boynton and Daniel (1985) have outlined qualitatively the difference in some parameters when using the three type of permeameters. This outline is shown in Table 3. Figure 16 (Boynton and Daniel 1985) shows the results of two types of clays tested using the three different permeameters. Based on these results, it is concluded that the type of permeameter did not have a large effect on the measured hydraulic conductivity; the differences in the values of conductivity were substantially less than one order of magnitude; and no one type of permeameter consistently yielded higher or lower values than the other types. However, Stewart and Nolan (1987) have found that the conductivity measured from the rigid wall permeameter is consistently lower than the other types as it is shown in Fig. 17 (Stewart 1987). b. Confining pressure. This factor affects the hydraulic conductivity measured by the flexible wall permeameter only since the other types do not apply an all- around confining pressure to the tested sample. This is done in order to prevent side wall leakage and facilitate sample saturation. Figure 18 (Boynton and Daniel 1985) shows that as the confining pressure increases, the conductivity decreases. Korfiatis et al. (1987) have shown that the conductivity value decreased twice as much as that reported by Boynton and Daniel for the same increase in confining pressure. c. Direction of flow. In all laboratory conductivity tests the flow is restricted to the vertical direction. This is because it is easier and better simulates the flow in the field. Also for compacted soils, the lateral flow is the same as the vertical flow. d. Hydraulic gradient. Mitchell and Younger (1966) have shown that for clays, tested in flexible wall permeameter, at low hydraulic gradient, the hydraulic conductivity tends to be very low and the flow deviates from equation 1. They found that this phenomenon exists due to dislodging and washing down of fine particles in samples with low initial compaction density. Mitchell and Younger also showed that samples tested under increasing hydraulic gradient have lower hydraulic conductivity than a decreasing one. Olsen and Daniel (1979) has reported some studies which showed that as hydraulic gradient increases so did the predicted conductivity by 5 to 84 times. 2. Permeant factors. These factors are associated with the type and properties of the permeant. When hydraulic conductivity is mentioned, it is understood that water conductivity is referred to. There are two main water properties that can affect the speed of water flow through soils. a. Viscosity and density. The relationship between viscosity and density of water with the conductivity is given in the well-known Kozeny-Carman equation 26, and it can be rewritten as K = k (Yp/) (27) where K = Hydraylic conductivities, k = Permeability, yp = Unit weight of permeant (water), and g = Viscosity of permeant. Equation 27 suggests that the conductivity varies directly with the density and inversely with the viscosity of percolating water (or any other fluid). The density and the viscosity terms are usually taken as constant and equal to one for water at laboratory temperature. b. Normal and deaired water. Hydraulic conductivity was thought to be less when using normal (tap) water because a greater number of flow channels could become blocked by evolved air bubbles than when using deaired water. The opposite was found (Stewart and Nolan 1987). 3. Soil factors. These factors associated with physical and chemical characteristics of the soil. Furthermore, these factors affect the measured conductivity differently for different soils. Soil properties by far have the largest influence on the predicted conductivity. a. Molding water content and degree of saturation. Darcy's law and other relations for predicting the conductivity have been developed or experimentally established on soils with 100% saturation. Conductivity is greatly affected if air, even in small amounts, remains in the pores of soil. Conductivity drops to very low values at degree of saturation less than 75% (Sing 1967). Figure 19 (Mitchell 1976) shows that as the degree of saturation increases so does the conductivity for compacted clays tested in flexible wall permeameter. Most of the time, it is easier to obtain and more accurate to relate the conductivity to the molding water content instead of degree of saturation. Both Fig. 16 and Fig. 17 show a plot of conductivity versus molding water content, and it can be seen that as the molding water content increases, the conductivity decreases up to a maximum (optimum) value. Beyond this optimum value a further increase in the molding water content will result in an increase in the conductivity. This can be explained by the fact that at lower molding water content (or lower degree of saturation) the water flows through the soil under both the hydraulic head and suction head. As the soil becomes saturated, most of the air will be driven out of the soil, the suction head will be minimal, the water will flow under the hydraulic head only, and will result in the lowest conductivity value. Beyond the lowest conductivity an increase in water content will result in a change of soil fabric from a semidispersed to a fully dispersed structure which possess higher conductivity. b. Dry unit weight of soil. The relationship between the conductivity and the dry unit weight of soil is shown in Fig. 16. At low molding water content and dry unit weight the fabric structure of the soil is mainly flocculated (possesses a high degree of porosity or void ratio), and the conductivity is highest. As the molding water content increases, the dry unit weight increases, the degree of porosity or void ratio decreases, the soil structure changes gradually from fully flocculated to semiflocculated, and this results in a decrease in the conductivity value. At and around the optimum molding water content, the dry unit weight is maximum, the soil structure tends to be semidispersed, and the conductivity is lowest. At a molding water content greater than this region, additional water tends to force soil particles apart, changing the soil structure to near fully dispersive. This will lead to a high degree of porosity or void ratio and, therefore, a lower dry unit weight and higher conductivity value. c. Sample diameter. Boynton and Daniel (1985) have studied the effect of sample diameter of fire clays tested in flexible wall permeameter and obtained the plot shown in Fig. 20. He concluded that the measured conductivity was essentially independent of sample diameter and that the conductivity of the largest sample used was one third to twice the value measured on the smallest samples. However, the larger the sample diameter, the more likely the sample will contain more hydraulic defects and the closer the sample will be in resembling the field conditions. d. Adsorbed water. The adsorbed water surrounding the fine-grained soil particles is not free to move, and, hence, it causes an obstruction to the flow of free water by reducing the effective pore space available for the passage of water. It is difficult to define the pore space occupied by adsorbed water in a soil. According to a crude approximation after Casagrande, 0.1 may be taken as the voids ratio occupied by adsorbed water, and the conductivity may roughly be assumed to be proportional to the square of the net void ratio of (e 0.1)2. Adsorbed water has a marked influence on the conductivity of clays. In a laboratory, it is normal to use a high gradient for testing clays, but in actual field problems, the hydraulic gradient is much less. There is a hydraulic gradient (threshold gradient) for clays at which the conductivity is essentially zero. Lambe and Whitman (1979) reported that this gradient for some clays is equal to 20 to 30. Mitchell (1976) suggested that the value of threshold gradient could be higher for montmorillonite clays and reported a maximum value of 900. e. Mini-aging. Figure 19 (Mitchell 1976) shows the conductivity of clay samples aged for 21 days and tested in flexible permeameter. Aged samples did not display consistently higher or lower conductivity than the unaged samples. The same conclusion is reached by Boynton and Daniel (1985) after testing different clays in exactly the same way as it is shown in Fig. 21. Olson and Daniel (1979) have suggested that prolonged conductivity tests (and probably aging) may result in a substantial reduction in conductivity due to clogging of the flow channels by organic matter that grows in the soil during the test (and may be during aging too). f. Direction of flow. Lambe and Whitman (1979) suggested that compacted clays are flocculated dry of optimum, resulting in a lower degree of hydraulic anisotropy, and dispersed wet of optimum, resulting in higher degree of hydraulic anisotropy. Olsen and Daniel (1979) suggested that clods of clay are hard when the molding water content is dry of optimum, resulting in large interclod void space, and soft when they are wet of optimum, resulting in minimal interclod void space. In this case, the only source of anisotropy would be the flattening of clods during compaction. Boynton and Daniel (1985) have used flexible wall permeameter to test compacted clays that were sampled in horizontal and vertical directions. He concluded that soil fabric has no discernable effect on hydraulic anisotropy. g. Desiccation. Literally no data were found on desiccation cracking in compacted clays and its influence on hydraulic conductivity. Boynton and Daniel (1985) prepared 2.5-inch thick compacted clay slabs and found a 1 millimeter wide crack appeared after 4 hours, and the crack penetrated the slab after 8 hours. The cracked clays were then sampled and tested in a flexible wall permeameter under different confining pressures. The result is shown in Fig. 18. It was concluded that desiccation cracks can penetrate compacted clay to a depth of several inches in just a few hours. Furthermore, the cracks tend to close when moistened and the hydraulic conductivity is not affected by a large amount. h. Sample height. Sample height was studied by Korfiatis et al. (1987). In this study, he tested compacted clays in a flexible wall permeameter and followed an orthodox procedure. He tested a sample 3 inches thick and 2.5 inches in diameter. Then, the same sample was divided into two halves and tested, and the same two halves were divided into four equal pieces and also tested. He concluded that the hydraulic conductivity increases with increasing sample height as shown in Fig. 22. i. Amount and type of clays. Little data exist on the effect of the amount and type of clays on the measured hydraulic conductivity. Mitchell (1976) tested compacted clays in flexible wall permeameter and found that increasing amounts of clay from 5% to 15% led to a decrease in conductivity by four times. Daniel (1987) has tested compacted clays with different plasticity indices in a flexible wall permeameter and found generally that as the plasticity index increases, the measured hydraulic conductivity decreases. This is shown in Fig. 23. j. Termination criteria. This factor deals with the amount of outflow of water from the tested sample necessary to assume that a steady state value of hydraulic conductivity has been reached. This amount is usually expressed in terms of the total volume of pores. Peirce and Witter (1986) has studied this factor on compacted clays in a flexible wall permeameter and concluded that about one-half of the pore volume is necessary to reach a steady state conductivity. This is shown in Fig. 24. Field factors The factors that affect the field measurement of hydraulic conductivity of clays are many and are very difficult to quantify and measure, each of which tends to have large influence on the measured conductivity. Olsen and Daniel (1979) stated, "Field testing for measurement of conductivity in unsaturated soils is at such a elementary stage of development that field measurements cannot be recommended" (p. 55). Field conductivity testing is still at a rudimentary stage and still not performed even in large landfill projects. Some of the suggested methods for field infiltration tests are shown in Figs. 10 and 11. However, in addition to the permeant and soil factors mentioned above, there are other factors to be considered. These are 1. Homogeneity and isotropy. These factors affect the field conductivity more than the laboratory conductivity. This is because in the field the volume, thickness, placement, and compaction of the clays are much greater and different than those in the laboratory. Due to the relatively large volume of soils handled in the field, soils might have different amounts and types of clays even if the supply source is the same. This will result in different in-situ densities upon compaction, and different areas might experience different amounts and types of compaction. This will lead to inhomogeneity and anisotropy of the compacted clays. 2. Discontinuities. Field discontinuities in the compacted clays exist as desiccation cracks due to exposure to temperature, areas of low densities due to low compaction, pockets of high sand content and low clay content, zones of contaminated clays with the in-situ sandy soils, and areas with large interclod void space. All these discontinuities will result in an increase of hydraulic conductivity of the compacted clays. 3. Suction and saturation. In the field, both the compacted clays and the sandy subgrade below it are partially saturated soils and, consequently, both possess a certain amount of suction. This suction is very difficult to measure, will increase the hydraulic gradient, and leads to an increase in the infiltration of water through the clays. This is shown in Fig. 25. Many investigators have measured the suction of the clays as a function of the clay moisture content (Daniel et al. 1979, Elzeftawy and Cartwright 1979, Hamilton et al. 1979, Gorden et al. 1989, McKeen 1988, Olsen and Daniel 1979, Pachepsky and Scherbakov 1984). Figure 26 (Daniel et al. 1979) represents the typical result of such an investigation, and it shows that as the moisture content increases from 7% to 20%, the suction decreases from 43 to 1.5 atmospheres (632.1 to 22.1 psi), respectively. Stewart and Nolan (1987) showed that the distribution of soil saturation after performing the field infiltration tests is not uniform as can be seen in Fig. 27. The figure also shows that the moisture migrated laterally in all the tests by a considerable amount. Stewart also measured the field hydraulic conductivity with time and found it to vary by one- half to one order of magnitude, as can be seen in Fig. 28. 4. Clay thickness. The thickness of the clay liner in the field ranges from 8 inches (top cover) up to 5 feet, while the thickness of the clay sample tested in the laboratory is no greater than 3 inches. The only available data on this factor are shown in Fig. 22 (Korfiatis et al. 1987). This research was performed on a compacted clay sample with a thickness of 3 inches and, therefore, cannot be compared to the field thickness. Purpose and Scope of this Research Project The purpose of this research project is to develop a new and rugged methodology of predicting field hydraulic conductivity for compacted natural Floridian clays and to study a number of field and laboratory factors that are affecting the prediction of hydraulic conductivity. Some of these factors were expressed by the local industry in Florida, and the others were deduced based on the deficiencies observed from the review of previous work related to hydraulic conductivity. Furthermore, this study was designed such that the predicted hydraulic conductivity values are rugged and insensitive, to some degree, to possible mathematical manipulations. The scope of work for this research involved the following: Bulk Sampling. Properties. and Sample Preparation A number of bulk soil samples were obtained from the Mid- Florida Mining Corporation's (MFM) clay mine in Ocala, Florida. This clay was, and still is, used in the construction of a number of landfills. It is marketed under the tradename of "Terra-Seal Natural Premix@." One homogenous soil sample was obtained from these samples, and all subsequent laboratory tests were performed using this homogeneous sample. A number of laboratory tests were performed to obtain the index and physical properties of the soil. These properties were compared with those established previously by a local professional testing laboratory. Samples for laboratory conductivity tests were prepared using a 4-inch inside diameter, with variable length, cast acrylic plastic tubing, and in accordance with ASTM D698A and D1557A (ASTM 1989). Undisturbed field samples were obtained using three different steel sleeve sampling apparatuses designed using some of Hvorslev's (1962) recommendations. These apparatuses were also used to perform field infiltration tests. Undisturbed field samples were also obtained using block sampling techniques. Laboratory Work A large number of compacted soil samples were tested in a rigid wall permeameter, and a number of relationships and the influence of various factors on the soil hydraulic conductivity were established. The most important of these relationships is the soil conductivity versus soil suction, versus dry unit weight, versus molding water content. Other factors studied are the effect of sample height, number of layers in the sample, hydraulic gradient, time, drying time, and field sampling. The distribution of moisture content versus depth of a number of samples after conductivity and after drying were also established. Field Work Field work was performed at two landfill projects located in Florida. The clay used in the construction of these two projects is from the same source and is the same Terra-Seal Natural Premix used in this study. Two field infiltration tests were performed on the top cover at the Southwest Alachua Landfill located in Archer, Florida. This landfill was constructed during 1986. Three 10- by 9-foot by 9-inch-thick test strips were constructed, using three different layerings. These test strips were constructed prior to the construction of the second project, Astatula Ash-Residu Monofill landfill located in Astatula (40 miles south of Ocala), Florida. These test strips were used to study the method of construction, desiccation cracks, density and moisture content distribution, and to perform five field infiltration tests. Three additional infiltration tests were performed on the actual landfill after it was constructed. Prediction and Comparison of Hydraulic Conductivity The results of the suction tests and the field infiltration test results were used to predict the saturated hydraulic conductivity of the field compacted clays. The predicted values agreed very closely with those obtained in the laboratory by the author and two independent professional testing laboratories. The relationship between laboratory conductivity and the various factors studied were obtained and quantified. Methods of Measuring Suction (McKeen 1988) Technique Range (pF) Remarks Suction Plate Pressure Plate Pressure Membrane Osmotic Cell Centrifuge Vacuum Desiccator Sorption Balance Thermocouple Psychrometer Filter Paper Method Heat Dissipation in a Ceramic 1.0-3.0 1.0-3.0 0.0-6.2 2.0-4.1 3.7-4.1 5.0-7.0 5.0-7.0 2.5-4.8 0.1-7.0 0.0-4.2 Matric Matric Matric Total Matric Total Total Total Total Matric TABLE 1. TABLE 2. Saturated Salt Solution Versus Relative Humidity (Kohnke 1968) Salt Relative Humidity pF at 25oC CaSO4 97.8 4.49 NH4H2P04 93.0 5.00 NH4Cl 79.3 5.51 Mg (NO3) 2 52.0 5.96 KC2H302 19.9 6.36 TABLE 3. Various Parameters for Three Permeameters (Boynton and Daniel 1985) Test Type of Permeameter parameter Compaction mold Consolidation cell Flexible wall (1) (2) (3) (4) Side-wall leakage Void ratio (e) Degree of saturation Voids formed during trimming Portion of sample tested Leakage is possible Relatively high e because applied vertical stress is zero Specimen may be unsaturated Impossible; soil is tested in the compaction mold and is not trimmed All of the compacted specimen is tested, including the relatively dense lower portion and the relatively loose upper portion; the dense lower portion may lead to measurement of relatively low k Applied vertical stress makes leakage unlikely Relatively low e because a vertical stress is applied Specimen may be unsaturated Voids may have formed, but application of a vertical stress should help in closing any voids Only the central portion of the specimen is tested; the upper and lower third of the specimen are trimmed away Leakage is unlikely Relatively low e because an all- round confining pressure is applied Application of back-pressure is likely to cause essentially full saturation Voids are not relevant; the flexible membrane tracks the irregular surface of the soil specimen One centimeter of soil is trimmed off both ends of the compacted sample . I *.*.'. I . ... C .of .. .. .. ... Noturoa Liner ~c) \\ \ \ ~ .,'..,` Fig. 1. Examples of Natural Liners (Daniel 1987). Compacted Sidewall Liner (Horizontal Compacted Lifts) Bottom Liner Leachate Collection Zone Primary Liner. Leak Detection Zone Secondary Liner Compacted Sidewall Liner (Lifts Parallel to Slope) Types of Compacted Liners (Daniel 1987). Fig. 2. DRAINAGE BLANKET LEACHATE COLLECTION PIPE COMPACTED CLAY LINE Fig. 3. Typical Landfill Section and Components (Oakely 1987). Fig. 4. Hydrological Cycle as Applied to Landfill System (Oakely 1987). III. Turbulent Velocity, v Zones of Laminar and Turbulent Flow (Taylor 1948). I. Laminar II. Transition Fig. 5. vent \ load cap porous stone :-*-:::---: \ri 0 001 001, 00, l - ;~..,A 16S~~;2~ 9~E^P '( ^^^ ^ % %^ ^ ^ Fig. 6. One-Dimensional Schematic of Consolidation Cell Permeameter. nple ng ----- -- ------ inflow vent port (9 top plate acrylic tube porous stone bottom - cap bottom plate fill and drain port drains Fig. 7. Schematic of Flexible Wall Permeameter. top -- plate clamping - rod bottom -- plate pporous stone rigid wall p porous stone port Schematic of Rigid Wall Permeameter. Fig. 8. MARIOTTE TUBE | O 0 0 0 0 0 0 0 0 0,, 05\ )r.l \\C\ mI\\ O % %%j Schematic of Mariotte Tube. Fig. 9. Open Single-Ring Infiltrometer <2r 1:Q :~c V'. I.% ':"' 'Q' Ac'%rX.; U 4fi;A-+ ___'' r t -..r.'~ Pk~ ~3ia;7'C' V Y .............. ....... .. ......... .'.....*...'............... Fig. 10. Schematic of Single and Double Ring Infiltrometers. i ...; : " I 't~"?i' ' r~ ~\ Inner ring flush tensiometer port CIa \n \o grout Inlet port tubing flexible bag outer ring --------------r rr rr rr rr r- rr ----l((-------- 1-~~ tes pad ...... ................. ........oe ............................ 0 ............................. 0 .................................... .. . 0eo o oo o o ............ ........... ........... ........... ........... o 0 ........................o .. .. .. 0o .. .. .. . 00 .. .. .. .. 0 .......................... ............... ........ ..oo ... .. ..o o ..o .. eo... .... ...... ..... .... o..o o 0..... ...... .. ... ..... Fig. 11. Schematic of a Sealed-Double Ring Infiltrometer (University of Texas, College of Engineering, 1990). Water content Fig. 12. Soil Suction versus Water Content (Hillel 1971). Ks' Ks2 C a U 0 0 0 h> *o >* Suction Soil Suction versus Conductivity (Hillel 1971). Fig. 13. Ib/in2 SBars 01',"- Scales for Reporting Suction Values (McKeen 1988). g/cm2 cm H 0 10'-= 106-- Pascals x 10' or kPa 10'-3 pF 7- 6 5 4 3 2 0- 0 tons ft2 kg/cm2 10'-= 100 10- -1.0 : 0.1 0.01- 0.001- 10"-: 10'-= 100- 10- - 0.1- 0.01-- 0.001 10--. 1 0. -1000]- 100- 10- 1- 10'-- 10' 1 1.0 0.1 -1. 0.001 Fig. 14. FILTER PAPER WATER CONTENT (wf) Fig. 15. Filter Paper Calibration Curves 1968). (McQeen and Miller : I C M o Cm wseleimM Ce S* Pa tte w.l Cell 25 30 35 40 Water Content m) Molding Water Content ( Fig. 16. Conductivity vs. Dry Unit Weight vs. Molding Water Content for Two Different Clays (Boynton and Daniel 1985). I 10 72- -i 15 20 Molding a- i ZlO-8 I dO -0 10 -7 10 10- MOLDING WATER CONTENT, % NOTE: SOLID SYMBOL INDICATES UNDISTURBED SAMPLE Fig. -17. Summary of Laboratory and Field Infiltration Tests (Stewart and Nolan 1987). 0 RIGID WALL * FLEX WALL V OEDOMETER A INFILTR 4 0 ~--J--- (kPa) 50 -8 10 Effective 4 8 12 Confining Pressure 100 16 (psi) Fig. 18. Conductivity vs. Confining Pressure Daniel 1985). (Boynton and 100- 90 80 70 E 60 ! 20 0- 0.5 Fig. 19. 0.6 0.7 0.8 0.9 (Degree of Saturation)3 Conductivity vs. Degree of Saturation vs. Aging (Mitchell 1976). -9 4 x10 3 x109 2 x10-9 2xlO0 E 0 C 0 = 0 z "0 13 Xrs 0 I 2 3 4 5 6 7 Sample Diameter (In) Fig. 20. Conductivity vs. Sample Diameter Daniel 1985). (Boynton and I x 10 9 -9 4x10 3xi0"9 -9 2x10 -9 Ix 10 0 I I__I I 111 I I111 * U O E C U u a w X I0 A I I I I I I 100 300 Storage Time (days) Aging (Boynton and Daniel 1985). I I 111LI I I I "I I ' "I Fig. 21. Conductivity vs. -6 1 5X10- S ---- _ -7 11 S -8- -- 5X10 > ~--- -4 ---- / oTable 1 ATable 2 (A) *Table 2 (B) 1X10o 8 i 01234 5 6 78 910 SAMPLE HEIGHT (cm) Fig. 22. Conductivity vs. Sample Height (Korfiatis et al. 1987). -6 - 10 6--------- . 10 oU I 10-r -a ;, Upper Bound U io-9 10 = I l I I I I S-10 10 20 30 40 50 60 Plasticity Index () Conductivity vs. Plasticity Index (Daniel 1987). Fig. 23. 000 2- n. r I Beg In Chemical Test SPore Volumes Fig. 24. Conductivity vs. Pore Volume (Peirce and Witter 1986). Standard Waer .-. ,*', t ^ ro '., , *-.... .,. S? .^?, ,-; ... '. ., i.< i.. ., "', ^ . '* ***^ *^ ; '.' . ; _.Nl~f' 'r~. . YV ; Sii :. ~x .:n. rr~ : .1 6 0 1 F- ff ff f7 f . ... ..*.. ..' .* . . ...,.............. :%%%% % %% %%~ ~~%% %% % % % %%%% %% \ % \\\\% % % \ % % % % *% %% %^ -. %. %' ..% %% % %% . \~*\s*\^A/^l^ ^^''' \\c\ ;',\',\ \\\^,\''l'' \ C~\*\\ *\ \ \\ '4',\ '\ t#IItP*lIf *^ \\',\\\\\\\\\\\\\\*\**\UI\~\\~\\\\^^\ \\^\\\\\\\\\\\ 1 l J. 4% p 4IlI I d ld*FC l 10- III l ll II~ ''%. ..% % % % % % % % % % %% %% ~% %. %%% % % % % %% % % % % %% \'^\\\\^,\\ \~\\\\\\\\~\\\\\\~\\\\\\?^\\',\\\\\\^\\ '\\5\\\^^^\%^^,\**\\\\\\ \\\ \\'>>^ e'^V/^^^^^^^^^^V^^^^%A % % %. .% % .% % % % % % % % % % X % % % % % % % % %% % % % . . . . .V 0 Il 0 h 0 0 0 0 11 IhI 11111j * ( / / I) C / 1 ) I C ( / 1 I ^ ^ r C ( ( ( ( ^ ^ Z ^ U ^ r I I 1 I I I I I V I I I I I 1 I1 % ^ % % % % % % % % % % % % % % % % ^ % . . . . . % % % % % % % % %% % % % % %% % % % % %% % i H+D+Hs Hs=? Fig. 25. Schematic of Single Ring Infiltrometer and Suction Head. 0 5 10 15 20 25 COMPACTION WATER CONTENT (5) Fig. 26. Suction vs. Water Content (Daniel et al. 1979). 0 93-100 [] < 93 BENTONITE PUTTY 16 2.5 13 20 30 2.3 K X 10' CM/SEC B4 B5 B6 SCALE 0 100 MM 0 100 MM Fig. 27. Distribution of Soil Saturation after Field Infiltration Tests (Stewart and Nolan 1987). 1l00 AA, s006 o38OBM'& &0 & & E. .A a.# *U@^^ ** 4 a I g jL~i "-es ELAPSED TIME, DAYS Fig. 28. Field Conductivity vs. Time (Stewart and Nolan 1987). ttLw' 10-r 10-1 ww CHAPTER 2 BULK SAMPLING, PROPERTIES, AND SAMPLE PREPARATION Bulk Sampling A total of five bulk samples of the Terra-Seal Natural Premix clays were obtained from different parts of an existing stockpile at MFM surface clay mine (Lowell mine) in Ocala, Florida. The stockpile was very large and was made by excavating the natural clay deposits, mixing it, and then stockpiling it. This operation was performed in order to disrupt any existing soil stratification. The stockpile soil consisted of firm to stiff yellowish and reddish brown mottled light gray and green silty clay with a trace of fine to medium sand and a trace of fine to coarse gravel-sized limestone nodules. The stockpile also contains small to medium boulder-sized clay lumps. Approximately 1000 pounds of the clay was obtained and brought back to the University of Florida laboratory in Gainesville. In the laboratory, all of the sampled clay was placed in a large tray, mixed thoroughly, and every effort was made to insure that the nominal size of all clay lumps was not larger than 2 inches. This operation was necessary to obtain an average and homogeneous clay sample. This sample was then placed in a tightly sealed large container, stored in a controlled environment, and was used as the project clay in all subsequent laboratory tests. Properties of the Project Clay The properties of the project clay consisted of index and physical, mineral, and chemical properties. Some of these properties were measured directly and some were collected from previous work performed on the same clay. Index and Physical Properties Index and physical properties of the clay were obtained in the laboratory by the author. These properties consisted of natural moisture content (as received moisture content), percent passing the No. 200 sieve (percent fine which represent silt and clay), Atterberg Limits, and specific gravity of the solid particles. All of these tests were performed in accordance with ASTM (1989) standard methods of testing. A summary of the results of these tests is shown in Table 4. Detailed results of these tests are shown in Appendix A. Table 4 also shows a summary of results of similar tests performed by two different professional testing laboratories on the same clay used at two different projects. Details of these test results are shown in Appendices C and D for South West Alachua and Astatula landfill projects, respectively. The table shows that the clay properties obtained by the author are very close to the others. This suggests that the project clay can be safely assumed to be the same as that used in the two projects. Mineral and Chemical Properties Type and amount of minerals present in the clay were studied by Dr. James Eades and Dr. E. C. Pirkle of the Department of Geology at the University of Florida during 1988. These properties were established by a combination of hydrometer and X-ray analysis performed on a number of clay samples. They found that the clay contains 19% to 78% of fine sand, 2% to 18% silt, and 13% to 73% clay. Furthermore, the clay was found to be mainly montmorillonite with a trace of sepiolite, attapulgite, illite-waverlite, and kaolinite- weathered. Details of the mineralogical studies are included in Appendix B. Chemical analysis of the clays was performed by Post Buckly, Schuh, and Jernigan, Inc. They perform the analysis on clay samples obtained from that used in the construction of the Astatula landfill project. Total metal tests and Toxicity Characteristics Leaching Procedure were performed on the sampled clays. As part of the total metal testing procedures, the clays were tested for arsenic, barium, cadmium, chromium, lead, mercury, selenium, silver, and sodium. It was concluded, based on these tests, that the clays meet the EPA (Environmental Protection Agency) and FDER (Federal Department of Environmental Regulations) standards and that the clays are not hazardous to the existing surficial aquifer water quality. Detailed results of the chemical analysis are included in Appendix B. Sample Preparation Different sets of procedures were followed in the preparation of clay samples for laboratory and field tests. However, in each case, the preparation procedures were conducted using the recommendations suggested by well-known documented standard and nonstandard procedures. Laboratory Samples All samples prepared in the laboratory for conductivity tests were in accordance with ASTM (1989) standard procedures. Two particular ASTM test procedures were followed in the preparation of compacted clay samples for hydraulic conductivity tests. These were ASTM D-698-method A (standard or Proctor method of compaction for fine grained soils) and ASTM D-1557-method A (modified method of compaction for fine grained soils). Method D698A specifies that the clay should be placed in a standard mold in three equal layers, each layer subjected to 25 blows of a 5.5 pound rammer falling from 12 inches above the surface of the clay. While method D15 57A specifies that the clay is to be placed in the same standard mold in five equal layers, each layer compacted by 25 blows of a 10-pound rammer falling from 18 inches above the surface of the clay. This means that resulting samples are subjected to higher compaction energy and, therefore, possess higher unit weight for the same molding water content than those prepared by method D698A. By the measurement of sample volume, wet weight, and moisture content, the dry unit weight and the molding water content of each sample was obtained. Detailed procedures of these methods can be found in the ASTM (1989) handbook. The mold for the laboratory samples was made of cast acrylic plastic tubing with inside diameter of 4 inches, outside diameter of 4.5 inches, and with variable lengths. The inside diameter of the tubing is the same as that for the standard mold. Samples used for suction measurements Samples for the suction tests were prepared by following ASTM procedures in which the clays were air dried, passed through the No. 4 sieve, mixed with appropriate amount of tap water, cured for 48 hours, and then two samples with the same moisture content were compacted in accordance with D698A and D1557A. A rubber ring was placed on the surface of the prepared sample, a Fisher Scientific standard filter paper No. 09-790A was placed on top of the ring, and the top of sample was air-tight sealed for at least 10 days. The type of filter paper was the same as that used by McKeen (1988). After the test termination, the moist filter paper was placed in a preweight sealable plastic bag and its weight recorded. Then, the moist filter paper was placed in a 1100C constant temperature oven for 24 hours and then in a fresh preweight sealable plastic and weight. Samples used to study the effect of desiccation Samples for desiccation study tests were prepared as in those for suction tests except the dried clay was mixed with about 24% moisture content (wet). This is because compacted wet soil dries more and, hence, desiccates more than compacted dry soil. Two identical 18-inch-thick compacted samples were prepared in 12 equal layers compacted in accordance with D698A. Six thermocouples were placed in one of the samples at 1.27, 3.81, 7.62, 15.24, 26.67, and 41.91 cm from the top. This was to monitor the temperature profile with time. The two samples were placed in an ultraviolet chamber with a constant temperature of 38oC. Daily readings of the temperatures of the six thermocouples were taken for 16 days. At the end of this period, moisture content profile tests were performed on the sample with thermocouples. In addition, conductivity tests were performed on the other sample. Moisture content profile tests were performed after the completion of the conductivity tests. Figure 29 shows a cross section of the adopted laboratory hydraulic conductivity setup. Samples used to study the effect of soil thickness Samples for the soil thickness study were prepared using the average homogeneous Terra-Seal Natural Premix soil that was discussed in the Bulk Sampling section. Four samples with thicknesses of 1.5, 4.5, 12, and 18 inches were prepared in accordance with D698A. All samples were placed in 1.5- inch layers, applying the same amount of compaction energy per layer. Then conductivity tests under a constant hydraulic gradient of 70 were performed on each sample. When the hydraulic conductivity reached a stabilized value, within 5% to 10% of the previous reading, the value was recorded and the test was terminated. Samples used to study the effect of number of layers Samples used to study the effect of number of layers on the predicted conductivity were prepared using the average homogeneous clays described in Bulk Sampling section. Samples with a total thickness of 1.5 and 4.6 inches were prepared in one and three layers; samples with total thickness of 12 inches were prepared in two, four, and eight layers. The total applied compaction energy per unit volume was the same for all samples and for ASTM D698A. Then, conductivity tests under a constant hydraulic gradient of 70 were performed on each sample. The hydraulic conductivity value was recorded when it reached within 5% to 10% of the previous reading. |
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