KARL TERZAGHI LECTURE
Mar 1, 2006

Unsaturated Soil Mechanics in Engineering Practice

Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 132, Issue 3

Abstract

Unsaturated soil mechanics has rapidly become a part of geotechnical engineering practice as a result of solutions that have emerged to a number of key problems (or challenges). The solutions have emerged from numerous research studies focusing on issues that have a hindrance to the usage of unsaturated soil mechanics. The primary challenges to the implementation of unsaturated soil mechanics can be stated as follows: (1) The need to understand the fundamental, theoretical behavior of an unsaturated soil; (2) the formulation of suitable constitutive equations and the testing for uniqueness of proposed constitutive relationships; (3) the ability to formulate and solve one or more nonlinear partial differential equations using numerical methods; (4) the determination of indirect techniques for the estimation of unsaturated soil property functions, and (5) in situ and laboratory devices for the measurement of a wide range of soil suctions. This paper explains the nature of each of the previous challenges and describes the solutions that have emerged from research studies. Computer technology has played a major role in achieving practical geotechnical engineering solutions. Computer technology has played an important role with regard to the estimation of unsaturated soil property functions and the solution of nonlinear partial differential equations. Breakthroughs in the in situ and laboratory measurement of soil suction are allowing unsaturated soil theories and formulations to be verified through use of the “observational method.”

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Acknowledgments

The writer wishes to express his appreciation to N. Ebrahami and Hung Pham for their assistance in searching out relevant research material, and preparing suitable graphics for this research paper.

References

Adamson, A. W., and Gast, A. P. (1997). Physical chemistry of surfaces, 6th Ed., Wiley, New York.
Aldrich, H. P. (1956). “Frost penetration below highway and airfield pavements.” Highway Research Board Bulletin 135, Highway Research Board, Washington, D.C., 124–144.
Alonso, E. E., Gens, A., and Josa, A. (1990). “A constitutive model for partly saturated soils.” Geotechnique, 40(3), 405–430.
American Society for Testing and Materials (ASTM). (2003). “Determination of the soil–water characteristic curve for desorption using a hanging column, pressure extractor, chilled mirror hygrometer, and/or centrifuge.” ASTM Standard D-6836-02, ASTM, West Conshohocken, Pa.
Aubertin, M., Mbonimpa, M., Bussiere, B., and Chapuis, R. P. (2003). “A model to predict the water retention curve from basic geotechnical properties.” Can. Geotech. J., 40(6), 1104–1122.
Averjanov, S. F. (1950). “About permeability of subsurface soils in case of incomplete saturation.” The theory of ground water movement, English Collection, Vol. 7. As quoted by P. Ya Palubarinova, 1962, English translation by I. M. Roger DeWiest, Princeton University Press, Princeton, N.J., 19–21.
Babuska, I. (1989). “Adaptive mathematical modeling.” Adaptive methods for partial differential equations, J. E. Flaherty et al., eds., SIAM, Philadelphia, Pa., 1–14.
Barbour, S. L. (1998). “Nineteenth Canadian Geotechnical Colloquium: The soil–water characteristic curve: A historical perspective.” Can. Geotech. J., 35(5), 873–894.
Barbour, S. L., and Fredlund, D. G. (1989). “Physico-chemical state variables for clay soils.” Proc., XII Int. Conf. on Soil Mechanics and Foundation Engineering, Invited Lecture, Rio de Janeiro, Brazil, 1839–1843.
Ba-Te, Zhang, L. Z., and Fredlund, D. G. (2005). “A general air-phase permeability function for airflow through unsaturated soils.” Proc., 2005 AS Geo-Frontiers, ASCE, Reston, Va.
Baver, L. D. (1940). Soil physics, Wiley, New York.
Bern, M. W., Flaherty, J. E., and Luskin, M., eds. (1999). “Grid generation and adaptive algorithms.” The Institute for Mathematics and its Applications, Vol. 113, Springer, New York.
Biot, M. A. (1941). “General theory for three-dimensional consolidation.” J. Appl. Phys., 12(2), 155–164.
Bishop, A. W. (1959). “The principle of effective stress.” Teknisk Ukeblad, 106(39), 859–863.
Bishop, A. W., Alphan, I., Blight, G. E., and Donald, I. B. (1960). “Factors controlling the shear strength of partly saturated cohesive soils.” ASCE Research Conf. on Shear Strength of Cohesive Soils, Univ. of Colorado, Boulder, Colo., 503–532.
Bishop, A. W., and Blight, G. E. (1963). “Some aspects of effective stress in saturated and unsaturated soils.” Geotechnique, 13(3), 177–197.
Blatz, J. A., and Graham, J. (2003). “Elastic-plastic modeling of unsaturated soil using results from a new triaxial test with controlled suction.” Geotechnique, 53(1), 113–122.
Blight, G. E. (1971). “Flow of air through soils.” J. Soil Mech. Found. Div., 97(4), 607–624.
Bouwer, H. (1978). Groundwater hydrology, McGraw-Hill, New York.
Brooks, R. H., and Corey, A. T. (1964). “Hydraulic properties of porous media.” Hydrology Paper No. 3, Colorado State Univ., Fort Collins, Colo.
Brutsaert, W. (1967). “Some methods of calculating unsaturated permeability.” Trans. ASAE, 10, 400–404.
Burdine, N. T. (1953). “Relative permeability calculations from pore size distribution data.” Trans. AIME, 198, 71–77.
Campbell, G. S. (1974). “A simple method for determining unsaturated conductivity from moisture retention data.” Soil Sci., 117(6), 311–314.
Childs, E. C., and Collis-George, N. (1950). “The permeability of porous materials.” Proc. R. Soc. London, Ser. A, 201, 392–405.
Chiu, T., and Shackelford, C. D. (1998). “Unsaturated hydraulic conductivity of compacted sand-kaolin mixtures.” J. Geotech. Geoenviron. Eng., 124(2), 160–170.
Christenson, H. G. (1988). “Adhesion between surfaces in undersaturated vapors—A re-examination of the influence of meniscus curvature and surface forces.” J. Colloid Interface Sci., 121(1), 170–178.
Corey, A. T. (1954). “The interrelation between gas and oil relative permeabilities.” Producer’s Monthly, 19(November), 7–10.
Croney, D., Coleman, J. D., and Black, W. P. M. (1958). “Movement and distribution of water in soil in relation to highway design and performance.” Water and Its Conduction in Soils Special Rep. No. 40, Highway Research Board, Washington, D.C., 226–252.
Dane, J. H., and Topp, G. C. (2002). Methods of soil analysis, Part 4, Soil Science Society of America, Madison, Wis.
de Vries, D. A. (1963). “Thermal properties of soils.” Physics of plant environment, W. R. van Wijk, ed., North Holland, Amsterdam, The Netherlands.
Derjaguin, B. V., and Churaev, N. V. (1981). “Structure of the boundary layers of liquids and its influence on the mass transfer in fine pores.” Progress in surface and membrane science, D. A. Cadenhead and J. F. Danielli, eds., Academic, New York, 69–130.
Donald, I. B. (1956). “Shear strength measurements in unsaturated non-cohesive soils with negative pore pressures.” Proc., 2nd Australia–New Zealand Conf. on Soil Mechanics and Foundation Engineering, Christchurch, New Zealand, 200–205.
Ebrahimi-B, N., Gitirana, G. F. N., Jr., Fredlund, D. G., Fredlund, M. D., and Samarasekera, L. (2004). “A lower limit for the water permeability coefficient.” Proc., 57th Canadian Geotechnical Conf., Vol. 1, Quebec City, Que., Canada, 12–19.
Farrel, D. A., and Larson, W. E. (1972). “Modeling the pore structure of porous media.” Water Resour. Res., 8(3), 699–706.
Feng, M., and Fredlund, D. G. (1999). “Hysteretic influence associated with thermal conductivity sensor measurements.” Proc., 52nd Canadian Geotechnical Conf., Regina, Sask., Canada, 651–657.
Fick, A. (1855). “Ueber diffusion.” Anu. der Phys. (Leipzing), 94, 59–86.
FlexPDE. (1999). Partial differential equation solver, PDE Solutions, Antioch, Calif.
Fredlund, D. G. (1964). “Comparison of soil suction and one-dimensional consolidation characteristics of a highly plastic clay.” National Research Council Technical Rep. No. 245. Division of Building Research, Ottawa.
Fredlund, D. G. (1973). “Volume change behavior of unsaturated soils.” PhD thesis, Dept. of Civil Engineering, Univ. of Alberta, Edmonton, Alta., Canada.
Fredlund, D. G. (2000). “The 1999 R. M. Hardy Lecture: The implementation of unsaturated soil mechanics into geotechnical engineering, R. M. Hardy Address.” Can. Geotech. J., 37(5), 963–986.
Fredlund, D. G. (2002). “Use of the soil-water characteristic curve in the implementation of unsaturated soil mechanics.” Proc., 3rd Int. Conf. on Unsaturated Soils, UNSAT 2002, Keynote Address, Vol. 3, Balkema, Recife, Brazil, 887–902.
Fredlund, D. G., and Fredlund, M. D. (2003). “Numerical modeling for saturated-unsaturated soil systems.” Short Course Notes, Vail, Colo., 149–157.
Fredlund, D. G., and Morgenstern, N. R. (1976). “Constitutive relations for volume change in unsaturated soils.” Can. Geotech. J., 13(3), 261–276.
Fredlund, D. G., and Morgenstern, N. R. (1977). “Stress state variables for unsaturated soils.” J. Geotech. Eng. Div., Am. Soc. Civ. Eng., 103(5), 447–466.
Fredlund, D. G., Morgenstern, N. R., and Widger, R. A. (1978). “The shear strength of unsaturated soils.” Can. Geotech. J., 15(3), 313–321.
Fredlund, D. G., and Rahardjo, H. (1993). “The role of unsaturated soil behaviour in geotechnical practice.” Proc., 11th Southeast Asian Geotechnical Conference, Invited Keynote Address, Singapore, 37–49.
Fredlund, D. G., Shuai, F., and Feng, M. (2000). “Increased accuracy in suction measurement using an improved thermal conductivity sensor.” Proc., 7th Int. Conf. on Tailings and Mine Waste, Fort Collins, Colo., 443–450.
Fredlund, D. G., and Xing, A. (1994). “Equations for the soil-water characteristic curve.” Can. Geotech. J., 31(3), 521–532.
Fredlund, D. G., Xing, A., and Huang, S. Y. (1994). “Predicting the permeability function for unsaturated soils using the soil-water characteristic curve.” Can. Geotech. J., 31(4), 533–546.
Fredlund, M. D., Fredlund, D. G., Houston, S. L., and Houston, W. B. (2003). “Assessment of unsaturated soil properties for seepage modeling through tailings and mine wastes.” Proc., 10th Int. Conf. on Tailings and Mine Wastes,” Vail, Colo., 149–157.
Fredlund, M. D., Fredlund, D. G., and Wilson, G. W. (1997). “Prediction of the soil–water characteristic curve from grain-size distribution and volume-mass properties.” Proc., 3rd Brazilian Symp. on Unsaturated Soils, NSAT ’97, Vol. 1, Rio de Janeiro, Brazil, 13–23.
Fredlund, M. D., Sillers, W. S., Fredlund, D. G., and Wilson, G. W. (1996). “Design of a knowledge-based system for unsaturated soil properties.” Proc., 3rd Canadian Conf. on Computing in Civil and Building Engineering, Montreal, 659–677.
Fredlund, M. D., Stianson, J., and Rykaart, M., (2002a). “Application of automatic mesh refinement in the SVFlux and ChemFlux software packages.” Proc., 55th Canadian Geotechnical Conf., Niagara Falls, Ont., Canada, 25–32.
Fredlund, M. D., Wilson, G. W., and Fredlund, D. G., (2002b). “Representation and estimation of the shrinkage curve.” Proc., 3rd Int. Conf. on Unsaturated Soils, UNSAT 2002, Recife, Brazil, 145–149.
Fredlund, M. D., Wilson, G. W., and Fredlund, D. G. (2002c). “Use of grain-size distribution for the estimation of the soil-water characteristic curve.” Can. Geotech. J., 39(5), 1103–1117.
Fredlund, D. G., and Vu, H. Q. (2003). “Numerical modeling of swelling and shrinking soils around slabs-on-ground.” Post-Tensioning Institute Conf., Huntington Beach, Calif., 125–132.
Freeze, R. A., and Cherry, J. A. (1979). Groundwater, Prentice-Hall, Englewood Cliffs, N.J.
Fung, Y. C. (1965). Foundations of solid mechanics, Prentice-Hall, Englewood Cliffs, N.J.
Gallipoli, D., Gens, A., Sharma, R., and Vaunat, J. (2003). “An elasto-plastic model for unsaturated soil incorporating the effects of suction and degree of saturation on mechanical behaviour.” Geotechnique, 53(1), 123–135.
Gallopoulos, E., Houstis, E., and Rice, J. R. (1994). “Computer as thinker/doer: Problem-solving environments for computational science.” IEEE Comput. Sci. Eng., 1(2), 11–23.
Gan, J. K.-M., and Fredlund, D. G. (1996). “Shear strength characteristics of two saprolitic soils.” Can. Geotech. J., 33(4), 595–609.
Gan, J. K.-M., Fredlund, D. G., and Rahardjo, H. (1988). “Determination of the shear strength parameters of an unsaturated soil using the direct shear test.” Can. Geotech. J., 25(8), 500–510.
Gardner, W. (1958). “Mathematics of isothermal water conduction in unsaturated soils.” Highway Research Board Special Rep. No. 40, Int. Symp. on Physico-Chemical Phenomenon in Soils, Washington, D.C. pp. 78–87.
Gens, A., Alonso, E. E., Suriol, J., and Lloret, A. (1995). “Effect of structure on the volumetric behaviour of a compacted soil.” Proc., 1st Int. Conf. on Unsaturated Soils, Vol. 1, E. E. Alonso and P. Delage, eds., Paris, 83–88.
Guan, Y. (1996). “The measurement of soil suction.” PhD thesis, Univ. of Saskatchewan, Saskatoon, Sask., Canada.
Guan, Y., and Fredlund, D. G. (1997). “Direct measurement of high soil suction.” Proc., 3rd Brazilian Symp. on Unsaturated Soils, NSAT’97, Vol. 2, Rio de Janeiro, Brazil, 543–550.
Hilf, J. W. (1956). “An investigation of pore-water pressure in compacted cohesive soils.” Technical Memorandum No. 654,PhD thesis, Design and Construction Division, Bureau of Reclamation, United States Department of the Interior, Denver.
Houston, S. L. (2002). “Applied unsaturated soil mechanics.” Proc., 3rd Int. Conf. on Unsaturated Soils, Vol. 3, Keynote Address, Balkema, Recife, Brazil, 1127–1134.
Irmay, S. (1954). “On the hydraulic conductivity of unsaturated soils.” Trans., Am. Geophys. Union, 35(3), 463–476.
Israelachvili, J. N. (1991). Intermolecular and surface forces, 2nd Ed., Academic, New York.
Jommi, C. (2000). “Remarks on the constitutive modeling of unsaturated soils.” Experimental evidence and theoretical approaches in unsaturated soils, A. Tarantino and C. Mancuso, eds., Balkema, Rotterdam, The Netherlands, 139–153.
Khalil, N., and Khabbaz, M. H. (1998). “An effective stress based approach for shear strength determination of unsaturated soils.” Proc., 2nd Int. Conf. on Unsaturated Soils, Vol. 1, International Academic, Beijing, 84–89.
Laliberte, G. E. (1969). “A mathematical function for describing capillary pressure-desaturation data.” Bull. Int. Assoc. Sci. Hydrol., 14(2), 131–149.
Leong, E. C., He, L., and Rahardjo, H. (2002). “Factors affecting the filter paper method for total and matric suction measurements.” Can. Geotech. J., 25(3), 321–332.
Leong, E. C., Rahardjo, H., and Fredlund, D. G. (2003). “A comparative study of constitutive models for unsaturated soils.” Proc., 2nd Asian Conf. on Unsaturated Soils, Osaka, Japan, 41–46.
Liakopoulos, A. C. (1965). “Theoretical solution of the unsteady unsaturated flow problem in soils.” Bull. Int. Assoc. Sci. Hydrol., 10, 5–39.
Lim, P. C., Barbour, S. L., and Fredlund, D. G. (1998). “The influence of the degree of saturation on the coefficient of aqueous diffusion.” Can. Geotech. J., 35(5), 811–827.
Lins, Y., and Schanz, T. (2004). “Determination of hydro-mechanical properties of sand.” Int. Conf. on Experimental Evidence towards Numerical Modeling of Unsaturated Soils, T. Schanz, ed., Lecture Notes in Applied Mechanics, Springer, New York, 11–29.
Lyklema, J. (2000). Fundamental of interface and colloid science, Vol. III, Academic, New York.
Maatouk, A., Leroueil, S., and La Rochelle, P. (1995). “Yielding and critical state of a collapsible unsaturated silty soil.” Geotechnique, 45(3), 465–477.
Mansell, R. S., Ma, L., Ahuja, L. R., and Bloom, S. A. (2002). “Adaptive grid refinement in numerical models for water flow and chemical transport in soils—A review.” Vadose Zone J., Soil Sci. Soc. Am., 1, 222–238.
Marjerison, B., Richardson, N., Widger, A., Fredlund, D. G., and Berthelot, C. (2001). “Installation of sensors and measurement of soil suction below thin membrane surface pavements in Saskatchewan.” Proc. 54th Canadian Geotechnical Conf., Calgary, Alta., Canada, 1328–1334.
Matsumoto, M., and Kataoka, Y. (1988). “Study on liquid–vapour interface of water. I. Simulational results of thermodynamic properties and orientational structure.” J. Chem. Phys., 88(5), 3233–3245.
Matyas, E. L., and Radakrishna, H. S. (1968). “Volume change characteristics of partially saturated soils.” Geotechnique, 18(4), 432–448.
McKee, C., and Bumb, A. (1987). “Flow-testing coalbed methane production wells in the presence of water and gas.” Proc., 1985 SPE Formation Evaluation Paper SPE 14447, Society of Petroleum Engineers, Richardson, Tex., 599–608.
Meilani, I. (2004). “Shear strength characteristics under infiltration conditions” PhD thesis, Nanyang Technological Univ., Singapore.
Meilani, I., Rahardjo, H., Leong, E. C., and Fredlund, D. G. (2002). “Mini suction probe for matric suction measurement.” Can. Geotech. J., 39(6), 1427–1432.
Melinda, F., Rahardjo, H., Han, K. K., and Leong, E. C. (2004). “Shear strength of compacted soil under infiltration condition.” J. Geotech. Geoenviron. Eng., 130(8), 807–817.
Moldrup, P., Yoshikawa, S., Olesen, T., Komatsu, T., and Rolston, D. E. (2003). “Gas diffusivity in undisturbed volcanic ash soils: Test of soil-water characteristic based prediction models.” Soil Sci. Soc. Am. J., 67(1), 41–51.
Morgenstern, N. R. (1979). “Properties of compacted soils.” Contribution to panel discussion, Session IV, Proc., 6th Panamerican Conf. on Soil Mechanics and Foundation Engineering, Vol. 3, 349–354.
Mualem, Y. (1974). “A conceptual model of hysteresis.” Water Resour. Res., 10(3), 514–520.
Mualem, Y. (1976a). “Hysteretical models for prediction of the hydraulic conductivity of unsaturated porous media.” Water Resour. Res., 12(6), 1248–1254.
Mualem, Y. (1976b). “A new model for predicting hydraulic conductivity of unsaturated porous media.” Water Resour. Res., 12(3), 513–522.
Mualem, Y. (1986). “Hydraulic conductivity of unsaturated soils: Prediction and formulas.” Methods of soil analysis, Part 1, 2nd Ed., A. Klute, ed., American Society of Agronomy and Soil Science Society of America, Madison, Wis., 799–823.
Newman, G. P. (1996). “Heat and mass transfer in unsaturated soils during freezing.” MSc thesis, Univ. of Saskatchewan, Saskatoon, Sask., Canada.
Nishimura, T., and Fredlund, D. G. (2001). “Failure envelope of a desiccated, unsaturated silty soil.” Proc., XVth Int. Conf. on Soil Mechanics and Foundation Engineering, Istanbul, Turkey, 615–618.
Oberg, A.-L., and Sallfors, G. (1997). “Determination of shear srength parameters of unsaturated silts and sands based on the water retention curve.” Geotech. Test. J., 20(1), 40–48.
Oden, J. T. (1989). “Progress in adaptive methods in computational fluid dynamics.” Adaptive methods for partial differential equations, J. E. Flaherty, P. J. Paslow, M. S. Shephard, and J. D. Vasilakis, eds., Society for Industrial and Applied Mathematics, Philadelphia, 206–252.
Peck, R. B. (1969). “Advantages and limitations of the observational method in applied soil mechanics.” Geotechnique, 19(2), 171–187.
Pentland, J., Gitirana, G., Jr., and Fredlund, D. G. (2001). “Use of a general partial equation solver for solution of heat and mass transfer problems in geotechnical engineering.” Proc., 4th Brazilian Symp. on Unsaturated Soils, UNSAT 2001, Porto Alerge, RS, Brazil, 29–36.
Pham, H. Q. (2002). “An engineering model of hysteresis for soil-water characteristic curves.” MS thesis, Univ. of Saskatchewan, Saskatoon, Sask., Canada.
Pham, H. Q. (2005). “Volume-mass constitutive relations for unsaturated soils.” PhD thesis, Univ. of Saskatchewan, Saskatoon, Sask., Canada.
Pham, H. Q., Fredlund, D. G., and Barbour, S. L. (2002). “A simple soil-water hysteresis model for predicting the boundary wetting curve.” Proc., 55th Canadian Geotechnical Conf. on Ground and Water-Theory to Practice, Niagara Falls, Ont., Canada, 1261–1267.
Pham, H. Q., Fredlund, D. G., and Barbour, S. L. (2003a). “Estimation of the hysteretic soil-water characteristic curves from the drying boundary curve.” Proc., 56th Canadian Geotechnical Conf., Vol. 2, Winnipeg, Canada, 115–121.
Pham, H. Q., Fredlund, D. G., and Barbour, S. L. (2003b). “A practical hysteresis model for the soil-water characteristic curve for soils with negligible volume change.” Geotechnique, 53(2), 293–298.
Pham, H. Q., Fredlund, D. G., and Padilla, J. M. (2004). “Use of the GCTS apparatus for the measurment of soil-characteristic curves.” Proc., 57th Canadian Geotechnical Conf., Quebec, 1–6.
Pham, H. T. V., and Fredlund, D. G. (2003). “The application of dynamic programming to slope stability analysis.” Can. Geotech. J., 40(4), 830–847.
Pham, H. T. V., Fredlund, D. G., and Gitirana, G., Jr. (2001). “Slope stability analysis using dynamic programming combined with finite element stress analysis.” Proc., Int. Conf. on Management of Land and Water Resources, Hanoi, Vietnam, 107–114.
Reginato, R. J., and van Bavel, C. H. M. (1962). “Pressure cell for soil cores.” Soil Sci. Soc. Am. Proc., 26, 1–3.
Ridley, A. M. (1993). “The measurement of soil moisture suction.” PhD thesis, Imperial College, London.
Rijtema, P. E. (1965). “An analysis of actual evapotranspiration.” Agricultural Research Rep. No. 659, Pudoc, Wageningen, The Netherlands.
Romero, E., Lloret, A., and Gens, A. (1995). “Development of a new suction and temperature controlled oedometer cell.” Proc., 1st Int. Conf. on Unsaturated Soils, Vol. 2, Paris, 553–559.
Rykaart, M., Fredlund, M. D., and Stianson, J. (2001). “Solving tailings impoundment water balance problems with 3-D seepage software.” Geotech. News, 2001(12), 50–54.
Schuurman, E. (1966). “The compressibility of an air/water mixture and a theoretical relation between the air and water pressures.” Geotechnique, 16(4), 269–281.
Tami, D., Rahardjo, H., and Leong, E. C. (2004a). “Effects of hysteresis on steady-state infiltration in unsaturated slopes.” J. Geotech. Geoenviron. Eng., 130(9), 956–967.
Tami, D., Rahardjo, H., Leong, E. C., and Fredlund, D. G. (2004b). “A physical model for capillary barriers.” Geotech. Test. J., 27(2), 173–183.
Terzaghi, K. (1943). Theoretical soil mechanics, Wiley, New York.
Thieu, N. T. M., Fredlund, M. D., Fredlund, D. G., and Vu, H. Q. (2001). “Seepage modelling in a saturated/unsaturated soil system.” Proc., Int. Conf. on Management of the Land and Water Resources, Hanoi, Vietnam, 49–56.
Thornthwaite, C. W. (1948). “An approach toward a rational classification of climate.” Geogr. Rev., 38(1), 55–94.
Toll, D. G. (1990). “A framework for unsaturated soil behavior.” Geotechnique, 40(1), 31–44.
Topp, G. C. (1987). “The application of time-domain reflectometry (TDR) to soil water content measurement.” Proc., Int. Conf. on Measurement of Soil and Plant Water Status, Logan, Utah, 85–93.
Townsend, R. M., and Rice, S. A. (1991). “Molecular dynamic studies of the liquid-vapour interface of water.” J. Chem. Phys., 94(3), 2207–2218.
Van Genuchten, M. Th. (1980). “A closed-form equation for predicting the hydraulic conductivity of unsaturated soils.” Soil Sci. Soc. Am. J., 44(5), 892–898.
Vanapalli, S. K., and Fredlund, D. G. (2000). “Comparison of different procedures to predict unsaturated soil shear strength.” Proc., GeoDenver Conf., ASCE, Reston, Va., 195–209.
Vanapalli, S. K., Fredlund, D. G., Pufahl, D. E., and Clifton, A. W. (1996). “Model for the prediction of shear strength with respect to soil suction.” Can. Geotech. J., 33(3), 379–392.
Vu, H. Q., and Fredlund, D. G. (2000). “Volume change predictions in expansive soils using a two-dimensional finite element method.” Proc., Asian Conf. on Unsaturated Soils, UNSAT ASIA 2000, Singapore, 231–236.
Vu, H. Q., and Fredlund, D. G. (2003). “Uncoupled and coupled solutions of two-dimensional swelling in expansive soils.” Proc., 2nd Asian Conf. on Unsaturated Soils, Osaka, Japan, 53–58.
Vu, H. Q., and Fredlund, D. G. (2004). “The prediction of one, two- and three-dimensional heave in expansive soils.” Can. Geotech. J., 41(4), 713–737.
Vu, H. Q., Fredlund, D. G., and Pereira, J. H. F. (2002). “Coupled solution for the prediction of volume change in expansive soils.” Proc., 3rd Int. Conf. on Unsaturated Soils, UNSAT 2002, Recife, Brazil, 181–186.
Watson, K. K., and Sardana, S. A. (1987). “Numerical study of the effect of hysteresis on post-infiltration redistribution.” Proc., Int. Conf. on Infiltration Development and Application, Water Resources Center, Univ. of Hawaii, Manoa, Honolulu, 241–250.
Wheeler, S. J., and Sivakumar, V. (1995). “An elasto-plastic critical state framework for unsaturated soil.” Geotechnique, 45(1), 35–53.
Wheeler, S. J., Sharma, R. S., and Buisson, M. S. R. (2003). “Coupling of hydraulic hysteresis and stress-strain behaviour in unsaturated soils.” Geotechnique, 53(1), 41–54.
Wind, G. P. (1955). “Field experiment concerning capillary rise of moisture in heavy clay soil.” Neth. J. Agric. Sci., 3, 60–69.
Yang, H., Rahardjo, H., Leong, E. C., and Fredlund, D. G. (2004). “A study of infiltration on three sand capillary barriers.” Can. Geotech. J., 41(4), 629–643.
Yeh, G.-T. (2000). Computational subsurface hydrology: Reactions, transport, and fate, Kluwer Academic, Boston.
Yuster, S. T. (1951). “Theoretical considerations of multiphase flow in idealized capillary systems.” Proc., 3rd World Petroleum Congress, Vol. 2, 437–445.
Zapata, C. E., Houston, W. N., Houston, S. L., and Walsh, K. D. (2000). “Soil–water characteristic curve variability.” Advances in Unsaturated Geotechnics, Geotechnical Institute Special Publication No. 99, C. D. Shackelford, S. L. Houston, and N.-Y. Chang, eds., ASCE, Reston, Va., 84–124.

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Journal of Geotechnical and Geoenvironmental Engineering
Volume 132Issue 3March 2006
Pages: 286 - 321

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Received: Feb 16, 2005
Accepted: May 1, 2005
Published online: Mar 1, 2006
Published in print: Mar 2006

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Delwyn G. Fredlund
Professor Emeritus, Dept. of Civil and Geological Engineering, Univ. of Saskatchewan, Saskatoon SK, Canada S7N 5A9.

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