Nonisothermal Models for Soil–Water Retention Curve
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 144, Issue 9
Abstract
Several emerging problems in geotechnical and geoenvironmental engineering pose multiphysics problems involving nonisothermal processes in unsaturated soils. Properly studying these problems requires the development of models for the soil water retention curve (SWRC) to describe the constitutive behavior of unsaturated soils under nonisothermal conditions. This study aims to develop analytical expressions of nonisothermal SWRCs. Closed-from expressions are presented to consider the effects of temperature on adsorption and matric suction in unsaturated soils. The formulation for the nonisothermal matric suction accounts for the effects of temperature on the surface tension, soil–water contact angle, and adsorption by the enthalpy of immersion per unit area. The formulations are then used to extend several existing isothermal SWRCs to nonisothermal conditions. The extended SWRC models are used in a parametric study to examine changes in adsorbed water, capillary water, and total water content versus matric suction for Ottawa sand and Wyoming bentonite subjected to several temperatures ranging from 25 to 100°C. The results show that temperature can have significant effects on SWRCs, depending upon the soil type and range of temperature. Further, the results obtained from the proposed formulations are compared against three independent laboratory test results and very good agreement is observed with the tests conducted on sand, silt, and clay under different temperatures. The proposed formulations can be readily incorporated into analytical solutions and numerical simulations of thermo-hydro-mechanical models of unsaturated soils. The findings of the study can facilitate using numerical models to simulate various nonisothermal applications involving geo-energy systems and soil-atmospheric interaction problems.
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Acknowledgments
This material is based upon work supported in part by the National Science Foundation under Grant No. CMMI-1634748. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation.
References
Alsherif, N. A., and J. S. McCartney. 2015. “Nonisothermal behavior of compacted silt at low degrees of saturation.” Géotechnique 65 (9): 703–716. https://doi.org/10.1680/geot.14.P.049.
Bachmann, J., R. Horton, S. A. Grant, and R. R. van der Ploeg. 2002. “Temperature dependence of water retention curves for wettable and water-repellent soils.” Soil Sci. Soc. Am. J. 66 (1): 44–52. https://doi.org/10.2136/sssaj2002.4400.
Brooks, R. H., and A. T. Corey. 1964. Hydraulic properties of porous media: Hydrology paper No. 3. Fort Collins, CO: Colorado State Univ.
Coccia, C. J. R., and J. S. McCartney. 2012. “A thermo-hydro-mechanical true triaxial cell for evaluation of the impact of anisotropy on thermally-induced volume changes in soils.” ASTM Geotech. Test. J. 35 (2): 227–237. https://doi.org/10.1520/GTJ103803.
Derjaguin, B. V., V. V. Karasev, and E. N. Khromova. 1986. “Thermal expansion of water in fine pores.” J. Colloid Interface Sci. 109 (2): 586–587. https://doi.org/10.1016/0021-9797(86)90340-1.
Dorsey, N. E. 1940. Properties of ordinary water substance. New York: Reinhold.
Everett, D. H. 1972. “Definitions, terminology and symbols in colloid and surface chemistry.” Pure Appl. Chem. 31 (4): 577–638.
François, B., and S. Ettahiri. 2012. “Role of the soil mineralogy on the temperature dependence of the water retention curve.” In Vol. 1 of Unsaturated soils: Research and application, 2nd European Conf. on Unsaturated Soils (E-UNSAT), 173–178. Berlin: Springer.
Fredlund, D. G., D. Sheng, and J. Zhao. 2011. “Estimation of soil suction from the soil-water characteristic curve.” Can. Geotech. J. 48 (2): 186–198. https://doi.org/10.1139/T10-060.
Fredlund, D. G., and A. Xing. 1994. “Equations for the soil-water characteristic curve.” Can. Geotech. J. 31 (4): 521–532. https://doi.org/10.1139/t94-061.
Gerscovich, D. M. S., and A. S. F. J. Sayão. 2002. “Evaluation of soil–water characteristic curves for soils from Brazil.” In Proc., 3rd Int. Conf. on Unsaturated Soils, edited by J. F. T. Juca, T. M. P. de Campos, and F. A. M. Marinho, 295–300. Lisse, Netherlands: Swets & Zeitlinger.
Grant, S. A., and A. Salehzadeh. 1996. “Calculation of temperature effects on wetting coefficients of porous solids and their capillary pressure functions.” Water Resour. Res. 32 (2): 261–270. https://doi.org/10.1029/95WR02915.
Haar, L., J. S. Gallagher, and G. S. Kell. 1984. NBS/NRC steam table. New York: Hemisphere Publishing Corporation.
Harkins, W. D., and G. Jura. 1944. “Surfaces of solids. XII. An absolute method for the determination of the area of a finely divided crystalline solid.” J. Am. Chem. Soc. 66 (8): 1362–1366. https://doi.org/10.1021/ja01236a047.
Hicks, T. W., M. J. White, and P. J. Hooker. 2009. Role of bentonite in determination of thermal limits on geological disposal facility design. Rutland, UK: Falson Sciences Ltd.
Imbert, C., E. Olchitzky, T. Lassabatere, P. Dangla, and A. Courtois. 2005. “Evaluation of a thermal criterion for an engineered barrier system.” Eng. Geol. 81 (3): 269–283. https://doi.org/10.1016/j.enggeo.2005.06.019.
Jacinto, A. C., M. V. Villar, R. Gómez-Espina, and A. Ledesma. 2009. “Adaptation of the van Genuchten expression to the effects of temperature and density for compacted bentonites.” Appl. Clay Sci. 42 (3): 575–582. https://doi.org/10.1016/j.clay.2008.04.001.
Jeppu, G. P., and T. P. Clement. 2012. “A modified Langmuir-Freundlich isotherm model for simulating pH-dependent adsorption effects.” J. Contam. Hydrol. 129 (3): 46–53. https://doi.org/10.1016/j.jconhyd.2011.12.001.
Khorshidi, M., N. Lu, I. D. Akin, and W. J. Likos. 2016. “Intrinsic relation between specific surface area and soil water retention.” J. Geotech. Geoenviron. Eng. 143 (1): 04016078. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001572.
Lebeau, M., and J.-M. Konrad. 2010. “A new capillary and thin film flow model for predicting the hydraulic conductivity of unsaturated porous media.” Water Resour. Res. 46 (12): W12554 https://doi.org/10.1029/2010WR009092.
Leong, E. C., and H. Rahardjo. 1997. “Permeability functions for unsaturated soils.” J. Geotech. Geoenviron. Eng. 123 (12): 1118–1126. https://doi.org/10.1061/(ASCE)1090-0241(1997)123:12(1118).
Lu, N. 2016. “Generalized soil water retention equation for adsorption and capillarity.” J. Geotech. Geoenviron. Eng. 142 (10): 04016051. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001524.
Lu, N., and W. J. Likos. 2004. Unsaturated soil mechanics. Hoboken, NJ: Wiley.
Ma, C., and T. Hueckel. 1992. “Stress and pore pressure in saturated clay subjected to heat from radioactive, waste: A numerical simulation.” Can. Geotech. J. 29 (6): 1087–1094. https://doi.org/10.1139/t92-125.
McCartney, J. S., C. J. R. Coccia, N. Alsherif, and M. A. Stewart 2013. “Energy geostructures in unsaturated soils.” Chap. 5 in Energy geostructures: Innovation in underground engineering, edited by L. Laloui and A. DiDonna, 99–114. Hoboken, NJ: Wiley-ISTE.
McQueen, I. S., and R. F. Miller. 1974. “Approximating soil moisture characteristics from limited data: Empirical evidence and tentative model.” Water Resour. Res. 10 (3): 521–527. https://doi.org/10.1029/WR010i003p00521.
Mitchell, J. K., and K. Soga. 2005. Fundamentals of soil behavior. 3rd ed. New York: Wiley.
Nimmo, J. R. 2004. “Porosity and pore size distribution.” In Vol. 3 of Encyclopedia of soils in the environment, edited by D. Hillel, 295–303. London: Elsevier.
Philip, J. R., and D. A. de Vries. 1957. “Moisture movement in porous materials under temperature gradients.” AGU Trans. 38 (2): 222–232. https://doi.org/10.1029/TR038i002p00222.
Ponec, V., Z. Knor, and S. Cerny. 1974. Adsorption on solids. London: Butterworth and Co.
Powers, M. C. 1967. “Fluid-release mechanisms in compacting marine mudrocks and their importance in oil exploration.” Am. Assoc. Pet. Geol. Bull. 51 (7): 1240–1254. https://doi.org/10.1306/5D25C137-16C1-11D7-8645000102C1865D.
Revil, A., and N. Lu. 2013. “Unified water isotherms for clayey porous materials.” Water Resour. Res. 49 (9): 5685–5699. https://doi.org/10.1002/wrcr.20426.
Robinson, J. D., and F. Vahedifard. 2016. “Weakening mechanisms imposed on California’s levees under multiyear extreme drought.” Clim. Change 137 (1): 1–14. https://doi.org/10.1007/s10584-016-1649-6.
Romero, E., A. Gens, and A. Lloret. 2001. “Temperature effects on the hydraulic behaviour of an unsaturated clay.” Geotech. Geol. Eng. 19 (3/4): 311–332. https://doi.org/10.1023/A:1013133809333.
Romero, E., A. Gens, and A. Lloret. 2003. “Suction effects on a compacted clay under non-isothermal conditions.” Géotechnique 53 (1): 65–81.
Roshani, P., and J. A. I. Sedano. 2016. “Incorporating temperature effects in soil water characteristics curves.” Indian Geotech. J. 46 (3): 309–318. https://doi.org/10.1007/s40098-016-0201-y.
Salager, S., M. S. Ei Youssoufi, and C. Saix. 2007. “Influence of temperature on the water retention curve of soils. Modelling and experiments.” In Experimental unsaturated soil mechanics, edited by T. Schanz, 251–258. Berlin: Springer.
Salager, S., M. S. El Youssoufi, and C. Saix. 2010. “Effect of temperature on water retention phenomena in deformable soils: Theoretical and experimental aspects.” Eur. J. Soil Sci. 61 (1): 97–107. https://doi.org/10.1111/j.1365-2389.2009.01204.x.
Schneider, M., and K. U. Goss. 2011. “Temperature dependence of the water retention curve for dry soils.” Water Resour. Res. 47 (3): W03506 https://doi.org/10.1029/2010WR009687.
Seki, K. 2007. “SWRC fit—A nonlinear fitting program with a water retention curve for soils having unimodal and bimodal pore structure.” Hydrol. Earth Syst. Sci. Discuss. 4 (1): 407–437. https://doi.org/10.5194/hessd-4-407-2007.
Stormont, J. C., and C. E. Anderson. 1999. “Capillary barrier effect from underlying coarser soil layer.” J. Geotech. Geoenviron. Eng. 125 (8): 641–648. https://doi.org/10.1061/(ASCE)1090-0241(1999)125:8(641).
Tang, A. M., and Y. J. Cui. 2005. “Controlling suction by the vapour equilibrium technique at different temperatures and its application in determining the water retention properties of MX80 clay.” Can. Geotech. J. 42 (1): 287–296. https://doi.org/10.1139/t04-082.
Tuller, M., and D. Or. 2005a. “Water retention and soil water characteristics curve.” In Encyclopedia of soils in the environment, edited by D. Hillel, 278–289. Amsterdam, Netherlands: Elsevier.
Tuller, M., and D. Or. 2005b. “Water films and scaling of soil characteristic curves at low water contents.” Water Resour. Res. 41 (9): W09403 https://doi.org/10.1029/2005WR004142.
Tuller, M., D. Or, and L. Dudley. 1999. “Adsorption and capillary condensation in porous media: Liquid retention and interfacial configurations in angular pores.” Water Resour. Res. 35 (7): 1949–1964. https://doi.org/10.1029/1999WR900098.
Uchaipichat, A., and N. Khalili. 2009. “Experimental investigation of thermo-hydro-mechanical behaviour of an unsaturated silt.” Geotechnique 59 (4): 339–353. https://doi.org/10.1680/geot.2009.59.4.339.
Vahedifard, F., A. AghaKouchak, E. Ragno, S. Shahrokhabadi, and I. Mallakpour. 2017. “Lessons from the Oroville Dam.” Science 355 (6330): 1139–1140. https://doi.org/10.1126/science.aan0171.
Vahedifard, F., A. AghaKouchak, and J. D. Robinson. 2015. “Drought threatens California’s levees.” Science 349 (6250): 799. https://doi.org/10.1126/science.349.6250.799-a.
Vahedifard, F., J. D. Robinson, and A. AghaKouchak. 2016. “Can protracted drought undermine the structural integrity of California’s earthen levees?” J. Geotech. Geoenviron. Eng. 142 (6): 02516001. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001465.
van Genuchten, M. T. 1980. “A closed-form equation for predicting the hydraulic conductivity of unsaturated soils.” Soil Sci. Soc. Am. J. 44 (5): 892–898. https://doi.org/10.2136/sssaj1980.03615995004400050002x.
Villar, M. V., and R. Gomez-Espina. 2007. “Retention curves of two bentonites at high temperature.” In Vol. 112 of Experimental unsaturated soil mechanics: Springer Proceedings in Physics, edited by T. Schanz, 267–274. Berlin: Springer.
Villar, M. V., and A. Lloret. 2004. “Influence of temperature on the hydro-mechanical behaviour of a compacted bentonite.” Appl. Clay Sci. 26 (1–4): 337–350. https://doi.org/10.1016/j.clay.2003.12.026.
Villar, M. V., P. L. Martin, and A. Lloret. 2005. “Determination of water retention curves of two bentonites at high temperature.” In Advanced experimental unsaturated soil mechanics. Experus, edited by A. Tarantino, E. Romero, and Y. J. Cui, 77–82. London: A.A. Balkema Publishers.
Wan, M., W. M. Ye, Y. G. Chen, Y. J. Cui, and J. Wang. 2015. “Influence of temperature on the water retention properties of compacted GMZ01 bentonite.” Environ. Earth Sci. 73 (8): 4053–4061. https://doi.org/10.1007/s12665-014-3690-y.
Watson, K. M. 1943. “Thermodynamics of the liquid state.” Ind. Eng. Chem. 35 (4): 398–406. https://doi.org/10.1021/ie50400a004.
Wersin, P., L. H. Johnson, and I. G. McKinley. 2007. “Performance of the bentonite barrier at temperature beyond 100°C. A critical review.” Phys. Chem. Earth. 32 (8–14): 780–788. https://doi.org/10.1016/j.pce.2006.02.051.
Ye, W. M., Y. W. Zhang, B. Chen, Y. G. Chen, and Y. J. Cui. 2012. “Investigation on compressibility of highly compacted GMZ01 bentonite with suction and temperature control.” Nucl. Eng. Des. 252 (Nov): 11–18. https://doi.org/10.1016/j.nucengdes.2012.06.037.
Young, T. 1805. “An essay on the cohesion of fluids.” Philos. Trans. R. Soc. London 95: 65–87. https://doi.org/10.1098/rstl.1805.0005.
Zheng, L., J. Rutqvist, J. T. Birkholzer, and H. H. Liu. 2015. “On the impact of temperatures up to 200°C in clay repositories with bentonite engineer barrier systems: A study with coupled thermal, hydrological, chemical, and mechanical modelling.” Eng. Geol. 197 (Oct): 278–295. https://doi.org/10.1016/j.enggeo.2015.08.026.
Zhou, A.-N., D. Sheng, and J. Li. 2014. “Modelling water retention and volume change behaviours of unsaturated soils in non-isothermal conditions.” Comput. Geotech. 55 (Jan): 1–13. https://doi.org/10.1016/j.compgeo.2013.07.011.
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Journal of Geotechnical and Geoenvironmental Engineering
Volume 144 • Issue 9 • September 2018
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©2018 American Society of Civil Engineers.
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Received: Jun 16, 2017
Accepted: Mar 29, 2018
Published online: Jul 2, 2018
Published in print: Sep 1, 2018
Discussion open until: Dec 2, 2018
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