New Soil-Water Characteristic Curve and Its Performance in the Finite-Element Simulation of Unsaturated Soils
Publication: International Journal of Geomechanics
Volume 12, Issue 3
Abstract
Among the many constitutive equations, the moisture-suction relationship, also known as the soil-water characteristic curve (SWCC), is one of the important relationships needed for modeling the dynamics of unsaturated soils using the finite-element method. In this study, a new SWCC equation is developed that uses four fitting parameters including the maximum possible suction. The new model predicts the experimental data of various soils well for a wide range of degrees of saturation (DOS), especially in high suction (above ). Predicting the higher suction at low DOS is one of the deficiencies of the widely used Brooks and Corey, van Genuchten, and Fredlund and Xing models. The numerical stability and performance of the proposed, and other widely used models, are investigated by implementing these models within in a simplified finite-element program for the dynamics of unsaturated soil and simulating static and dynamic problems. For the midrange DOS, all of the aforementioned models predict similar responses. However, at low DOS the new model predicts the suction variations well compared with the other models.
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References
Ananthanathan, P. (2002). “Laboratory testing of unsaturated Minco silt.” M.S. thesis, Univ. of Oklahoma, Norman, OK.
Brooks, R., and Corey, A. (1964). “Hydraulic properties of porous media.” Hydrology Paper 3, Colorado State Univ., Fort Collins, CO.
Croney, D., and Coleman, J. (1961). “Pore pressure and suction in soils.” Proc., Conf. on Pore Pressure and Suction in Soils, Butterworths, London, 31–37.
Escario, V., and Juca, J. (1989). “Shear strength and deformation of partly saturated soils.” Proc., 12th Int. Conf. on Soil Mechanics and Foundation Engineering, Rio de Janeiro, 2, 43–46.
Fredlund, D. G. (1964). “Comparison of soil suction and one-dimensional consolidation characteristics of highly plastic clay.” M.Sc. thesis, Univ. of Alberta, Edmonton, AB, Canada.
Fredlund, D. G., and Rahardjo, H. (1993). Soil mechanics for unsaturated soils, Wiley-Interscience, New York.
Fredlund, D. G., and Xing, A. (1994). “Equations for the soil-water characteristic curve.” Can. Geotech. J.CGJOAH, 31(4), 521–532.
Frydman, S., and Baker, R. (2009). “Theoretical soil-water characteristic curves based on adsorption, cavitation, and a double porosity model.” Int. J. Geomech., 9(6), 250–257.IJGNAI
Gardner, W. (1956). “Mathematics of isothermal water conduction in unsaturated soils.” Proc., Int. Symp. on Physico-Chemical Phenomenon in Soils, Highway Research Board Special Rep. 40, Highway Research Board, Washington, DC, 78–87.
Hassanizadeh, S. M., and Gray, W. G. (1979). “General conservation equation for multi-phase system: 1. Averaging procedure.” Adv. Water Resour., 2, 131–144.AWREDI
Hilber, H. M., Hughes, T. J. R., and Taylor, R. L. (1977). “Improved numerical dissipation for time integration algorithms in structural dynamics.” Earthquake Eng. Struct. Dyn., 5(3), 283–292.IJEEBG
Hogarth, W. L., Hopmans, J., Parlange, J.-Y., and Haverkamp, R. (1988). “Application of a simple soil-water hysteresis model.” J. Hydrol. (Amsterdam)JHYDA7, 98(1-2), 21–29.
Hughes, T. J. R, and Pister, K. S. (1978). “Consistent linearization in mechanics of solids and structures.” Comput. Struct., 8(3-4), 391–397.CMSTCJ
Jaynes, D. B. (1984). “Comparison of soil-water hysteresis models.” J. Hydrol. (Amsterdam)JHYDA7, 75(1-4), 287–299.
Kawai, K., Karube, D., and Kato, S. (2000). “The model of water retention curve considering effects of void ratio.” Unsaturated soils for Asia, Rahardjo, H., Toll, D. G. and Leong, E. C., eds., Balkema, Rotterdam, Netherlands, 329–334.
Koorevaar, P., Menelik, G., and Dirksen, C. (1983). Elements of soil physics, Elsevier Science, Amsterdam, Netherlands.
Kosugi, K. (1994). “The parameter lognormal distribution model for soil water retention.” Water Resour. Res., 30(4), 891–901.WRERAQ
Leong, E. C., and Rahardjo, H.(1997). “Review of soil-water characteristic curve equations.” J. Geotech. Geoenviron. Eng., 123(12), 1106–1117.JGGEFK
Li, J., Sun, D. A., Sheng, D. C., Sloan, S., and Fredlund, D. G. (2007). “Preliminary study on soil-water characteristics of Maryland clay.” Proc., 3rd Asian Conf. on Unsaturated Soil, Nanjing, China, 569–574.
McKee, C. R., and Bumb, A. C. (1987). “Flow-testing coalbed methane production wells in the presence of water and gas.” SPE Form. Eval., 2(4), 599–608.SFEVEG
Mualem, Y. (1977). “Extension of the similarity hypothesis used for modeling the soil water characteristics.” Water Resour. Res., 13(4), 773–780.WRERAQ
Mualem, Y. (1984). “Prediction of the soil boundary wetting curve.” J. Soil Sci., 137(6), 379–390.JSSCAH
Muraleetharan, K. K., Liu, C., Wei, C., Kibbey, T. C. G., and Chen, L. (2009). “A comprehensive approach to modeling the behavior of unsaturated soils using an elastoplastic framework.” Int. J. Plast., 25(3), 473–490.IJPLER
Muraleetharan, K. K., and Nedunuri, P. R. (1998). “A bounding surface elastoplastic constitutive model for monotonic and cyclic behavior of unsaturated soils.” Proc., 12th Engineering Mechanics Conf. (CD-ROM), ASCE, La Jolla, CA, 1331–1334.
Ng, C. W. W., and Pang, Y. W. (2000). “Influence of stress state on soil-water characteristics and slope stability.” J. Geotech. Geoenviron. Eng., 126(2), 157–166.JGGEFK
Nimmo, J. R. (1992). “Semiempirical model of soil water hysteresis.” Soil Sci. Soc. Am. J.SSSJD4, 56(6), 1723–1730.
Oloo, S. Y., and Fredlund, D. G. (1996). “A method for determination of fb for statically compacted soils.” Can. Geotech. J.CGJOAH, 33, 272–280.
Parlange, J.-Y. (1976). “Capillary hysteresis and the relationship between drying and wetting curves.” Water Resour. Res., 12(2), 224–228.WRERAQ
Pham, Q. H., Fredlund, D. G., and Barbour, S. L. (2003). “A practical hysteresis model for the soil-water characteristic curve for soils with negligible volume change.” Geotechnique, 53(2), 293–298.GTNQA8
Puppala, A. J., Punthutaecha, K., and Vanapalli, S. K. (2006). “Soil water characteristic curves of stabilized expansive soils.” J. Geotech. Geoenviron. Eng., 132(6), 736–751.JGGEFK
Ravichandran, N.(2005). “A framework-based finite element approach to solving large deformation problems in multiphase porous media.” Ph.D. dissertation, School of Civil Engineering and Environmental Science, Univ. of Oklahoma, Norman, OK.
Reisenauer, A. E. (1963). “Methods for solving problems of multidimensional, partially saturated steady flow in soils.” J. Geophys. Res.JGREA2, 68(20), 5725–5733.
Richards, S. J. (1965). “Soil suction measurements with tensiometers. Methods of soil analysis.” Monograph 9, American Society of Agronomy, Madison, WI, 153–163.
Russam, K., and Coleman, J. D. (1961). “The effect of climatic factors on subgrade moisture conditions.” Geotechnique, 11(1), 22–28.GTNQA8
Sillers, W. S., Fredlund, D. G., and Zakerzadeh, N. (2001). “Mathematical attributes of some soil-water characteristic curve models.” Geotech. Geol. Eng.GGENE3, 19(3-4), 243–283.
Sivakumar, V. A. (1993). “Critical state framework for unsaturated soil.” Ph.D. thesis, Univ. of Sheffield, Sheffield, UK.
Vanapalli, S. K., Pufahl, D. E., and Fredlund, D. G. (1999). “The influence of soil structure and stress history on the soil-water characteristic of a compacted till.” Geotechnique, 49(2), 143–159.GTNQA8
van Genuchten, M. Th. (1980). “A closed-form equation for predicting the hydraulic conductivity of unsaturated soils.” Soil Sci. Soc. Am. J.SSSJD4, 44(5), 892–898.
Yang, H., Rahardjo, H., Leong, E.-C., and Fredlund, D. G. (2004). “Factors affecting drying and wetting soil-water characteristic curves of sandy soils.” Can. Geotech. J.CGJOAH, 41(5), 908–920.
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Published In
International Journal of Geomechanics
Volume 12 • Issue 3 • June 2012
Pages: 209 - 219
Copyright
© 2012. American Society of Civil Engineers.
History
Received: Feb 9, 2010
Accepted: Apr 14, 2011
Published online: May 15, 2012
Published in print: Jun 1, 2012
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