Role of Gradation Curve in Description of Mechanical Behavior of Unsaturated Soils
Publication: International Journal of Geomechanics
Volume 20, Issue 2
Abstract
This paper presents a framework for the incorporation of the gradation curve in the description of mechanical behavior of unsaturated soils at low to medium degrees of saturation. Unsaturated soils have self-equilibrating initial stresses arising from surface tension forces acting on water menisci, which depend on the microstructure of saturation, particle surface contact characteristics, and pore size distribution (POSD). The latter, in turn, can be related to gradation curve. Unsaturated soil is treated here as a three-phase composite material, and its mechanical response is derived from that of its constituents: soil skeleton, water, and air. This approach leads to an analytical expression for the soil water retention curve (SWRC) in which the critical parameter to be determined is the water menisci area per unit volume () of the soil. This parameter can be identified from the gradation curve using well-established methodologies in soil science and agricultural engineering. Numerical simulations of triaxial tests show that deformation and strength of unsaturated soils, at a given degree of saturation and confinement, are influenced by the gradation curve, and its incorporation in the description of mechanical behavior of unsaturated soils is rational.
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References
Alim, M., M. Nishigaki, L. P. Chegbeleh, J. A. Akudago, and M. Komatsu. 2009. “Determination of soil-water characteristic curves of unsaturated sandy soils using membrane filter with stainless wire mesh.” J. Faculty Environ. Sci. Technol. 14 (1): 13–16.
Alonso, E. E., A. Gens, and A. Josa. 1990. “Constitutive model for partially saturated soils.” Geotechnique 40 (3): 405–430. https://doi.org/10.1680/geot.1990.40.3.405.
Arya, L. M., F. J. Leij, M. T. van Genuchten, and P. J. Shouse. 1999. “Scaling parameter to predict the soil water characteristic from particle-size distribution data.” Soil Sci. Soc. Am. J. 63 (3): 510–519. https://doi.org/10.2136/sssaj1999.03615995006300030013x.
Arya, L. M., and J. F. Paris. 1981. “A physicoempirical model to predict the soil moisture characteristic from particle-size distribution and bulk density data.” Soil Sci. Soc. Am. J. 45 (6): 1023–1030. https://doi.org/10.2136/sssaj1981.03615995004500060004x.
Baker, R., and S. Frydman. 2009. “Unsaturated soil mechanics: Critical review of physical foundations.” Eng. Geol. 106 (1): 26–39. https://doi.org/10.1016/j.enggeo.2009.02.010.
Barnes, G. E. 2010. Soil mechanics: Principles and practice. London: Palgrave Macmillan.
Beckett, C. T., and C. E. Augarde. 2013. “Prediction of soil water retention properties using pore-size distribution and porosity.” Can. Geotech. J. 50 (4): 435–450. https://doi.org/10.1139/cgj-2012-0320.
Chau, K. -T. 2012. Analytic methods in geomechanics, P108. Boca Raton, FL: CRC Press.
Chen, Z.-H., D. Fredlund, and J. K. Gan. 1999. “Overall volume change, water volume change, and yield associated with an unsaturated compacted loess.” Can. Geotech. J. 36 (2): 321–329. https://doi.org/10.1139/t98-097.
Cooke, A. J., and R. K. Rowe. 1999. “Extension of porosity and surface area models for uniform porous media.” J. Environ. Eng. 125 (2): 126–136. https://doi.org/10.1061/(ASCE)0733-9372(1999)125:2(126).
Craig, R. F. 2013. Soil mechanics. New York: Springer.
Dieudonné, A.-C., S. Levasseur, R. Charlier, G. Della Vecchia, and C. Jommi. 2013. “A water retention model for compacted clayey soils.” In Proc., Computational Geomechanics ComGeo III, 23–30. Rhodes, Greece: International Centre for Computational Engineering.
Fredlund, D. G., and H. Rahardjo. 1993. Soil mechanics for unsaturated soils. New York: Wiley.
Fredlund, M. D., G. W. Wilson, and D. G. Fredlund. 2002. “Use of the grain-size distribution for estimation of the soil-water characteristic curve.” Can. Geotech. J. 39 (5): 1103–1117. https://doi.org/10.1139/t02-049.
Frydman, S., and R. Baker. 2009. “Theoretical soil-water characteristic curves based on adsorption, cavitation, and a double porosity model.” Int. J. Geomech. 9 (6): 250–257. https://doi.org/10.1061/(ASCE)1532-3641(2009)9:6(250).
Gallipoli, D., A. Gens, R. Sharma, and J. Vaunat. 2003a. “An elasto-plastic model for unsaturated soil incorporating the effects of suction and degree of saturation on mechanical behaviour.” Géotechnique 53 (1): 123–135. https://doi.org/10.1680/geot.2003.53.1.123.
Gallipoli, D., S. Wheeler, and M. Karstunen. 2003b. “Modelling the variation of degree of saturation in a deformable unsaturated soil.” Géotechnique 53 (1): 105–112. https://doi.org/10.1680/geot.2003.53.1.105.
Gor, G. Y., D. W. Siderius, C. J. Rasmussen, W. P. Krekelberg, V. K. Shen, and N. Bernstein. 2015. “Relation between pore size and the compressibility of a confined fluid.” J. Chem. Phys. 143 (19): 194506. https://doi.org/10.1063/1.4935430.
Gupta, S., and W. Larson. 1979. “Estimating soil water retention characteristics from particle size distribution, organic matter percent, and bulk density.” Water Resour. Res. 15 (6): 1633–1635. https://doi.org/10.1029/WR015i006p01633.
Haverkamp, R., and J.-Y. Parlange. 1986. “Predicting the water-retention curve from particle size distribution: Sandy soils without organic matter.” Soil Sci. 142 (6): 325–339. https://doi.org/10.1097/00010694-198612000-00001.
Hu, R., Y. Chen, H. Liu, and C. Zhou. 2013. “A water retention curve and unsaturated hydraulic conductivity model for deformable soils: Consideration of the change in pore-size distribution.” Geotechnique 63 (16): 1389. https://doi.org/10.1680/geot.12.P.182.
Imre, E., K. Rajkai, T. Firgi, I. Laufer, R. Genovese, and C. Jommi. 2012. “Modified grading curve–SWCC relations.” In Unsaturated soils: Research and applications, 39–46. Berlin: Springer.
Khalili, N., M. A. Habte, and S. Zargarbashi. 2008. “A fully coupled flow deformation model for cyclic analysis of unsaturated soils including hydraulic and mechanical hystereses.” Comput. Geotech. 35 (6): 872–889. https://doi.org/10.1016/j.compgeo.2008.08.003.
Khalili, N., and M. Khabbaz. 1998. “A unique relationship of chi for the determination of the shear strength of unsaturated soils.” Geotechnique 48 (5): 681–687. https://doi.org/10.1680/geot.1998.48.5.681.
Khoshghalb, A., A. Y. Pasha, and N. Khalili. 2015. “A fractal model for volume change dependency of the water retention curve.” Géotechnique 65 (2): 141–146. https://doi.org/10.1680/geot.14.T.016.
Lian, G., C. Thornton, and M. J. Adams. 1993. “A theoretical study of the liquid bridge forces between two rigid spherical bodies.” J. Colloid Interface Sci. 161 (1): 138–147. https://doi.org/10.1006/jcis.1993.1452.
Lim, Y. Y., and G. A. Miller. 2004. “Wetting-induced compression of compacted Oklahoma soils.” J. Geotech. Geoenviron. Eng. 130 (10): 1014–1023. https://doi.org/10.1061/(ASCE)1090-0241(2004)130:10(1014).
Lourenço, S., D. Gallipoli, C. E. Augarde, D. G. Toll, P. C. Fisher, and A. Congreve. 2012. “Formation and evolution of water menisci in unsaturated granular media.” Geotechnique 62 (3): 193. https://doi.org/10.1680/geot.11.P.034.
Mehrotra, V., and K. Sastry. 1980. “Pendular bond strength between unequal-sized spherical particles.” Powder Technol. 25 (2): 203–214. https://doi.org/10.1016/0032-5910(80)87031-8.
Molenkamp, F., and A. Nazemi. 2003. “Interactions between two rough spheres, water bridge and water vapour.” Geotechnique 53 (2): 255–264. https://doi.org/10.1680/geot.2003.53.2.255.
Nam, S., M. Gutierrez, P. Diplas, J. Petrie, A. Wayllace, N. Lu, and J. J. Muñoz. 2010. “Comparison of testing techniques and models for establishing the SWCC of riverbank soils.” Eng. Geol. 110 (1): 1–10. https://doi.org/10.1016/j.enggeo.2009.09.003.
Ng, C. W., and B. Menzies. 2007. Advanced unsaturated soil mechanics and engineering. Boca Raton, FL: CRC Press.
Ning, L., and W. J. Likos. 2004. Unsaturated soil mechanics. Hoboken, NJ: Wiley.
Pande, G., and S. Pietruszczak. 2015. “On unsaturated soil mechanics—Personal views on current research.” Stud. Geotech. Mech. 37 (3): 73–84. https://doi.org/10.1515/sgem-2015-0035.
Pasha, A. Y., A. Khoshghalb, and N. Khalili. 2017. “Hysteretic model for the evolution of water retention curve with void ratio.” J. Eng. Mech. 143 (7): 04017030. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001238.
Pedroso, D. M., and M. M. Farias. 2011. “Extended Barcelona basic model for unsaturated soils under cyclic loadings.” Comput. Geotech. 38 (5): 731–740. https://doi.org/10.1016/j.compgeo.2011.02.004.
Pereira, J. H., and D. G. Fredlund. 2000. “Volume change behavior of collapsible compacted gneiss soil.” J. Geotech. Geoenviron. Eng. 126 (10): 907–916. https://doi.org/10.1061/(ASCE)1090-0241(2000)126:10(907).
Pietruszczak, S. 2010. Fundamentals of plasticity in geomechanics. Leiden, Netherlands: CRC Press.
Pietruszczak, S., and G. Pande. 1991. “On the mechanics of partially saturated soils.” Comput. Geotech. 12 (1): 55–71. https://doi.org/10.1016/0266-352X(91)90011-4.
Pietruszczak, S., and G. Pande. 1995. “On the mechanical response of partially saturated soils at low and high degrees of saturation.” In Vol. 5 of Numerical models in geomechanics, 32–38. Leiden, Netherlands: A.A. Balkema.
Pietruszczak, S., and G. Pande. 1996. “Constitutive relations for partially saturated soils containing gas inclusions.” J. Geotech. Eng. 122 (1): 50–59. https://doi.org/10.1061/(ASCE)0733-9410(1996)122:1(50).
Rezaee, L., M. Shabanpour, and N. Davatgar. 2011. “Estimating the soil water retention curve from soil particle size distribution using the Arya and Paris model for Iranian soils.” Turk. J. Agric. For. 35 (6): 649–657. https://doi.org/10.3906/tar-1006-1095.
Romero, E., and P. H. Simms. 2008. “Microstructure investigation in unsaturated soils: A review with special attention to contribution of mercury intrusion porosimetry and environmental scanning electron microscopy.” In Laboratory and field testing of unsaturated soils, 93–115. New York: Springer.
Schaap, M. G., and M. T. Van Genuchten. 2006. “A modified Mualem–van Genuchten formulation for improved description of the hydraulic conductivity near saturation.” Vadose Zone J. 5 (1): 27–34. https://doi.org/10.2136/vzj2005.0005.
Schanz, T. 2007. Experimental unsaturated soil mechanics. New York: Springer.
Shin, H. S., K. Y. Kim, and G. N. Pande. 2015. “On computation of strain-dependent permeability of rocks and rock-like porous media.” Int. J. Numer. Anal. Methods Geomech. 39: 821–832. https://doi.org/10.1002/nag.2334.
Shin, H.-S., K.-Y. Kim, and G. N. Pande. 2013. “Porosity and pore-size distribution of geomaterials from X-ray CT scans.” In Multiphysical testing of soils and shales, 177–186. Berlin: Springer.
Tarantino, A. 2009. “A water retention model for deformable soils.” Géotechnique 59 (9): 751–762. https://doi.org/10.1680/geot.7.00118.
Taylor, S. W. 1990. “Transport of substrate and biomass in pourous media with application to in-situ bioremediation of organic contaminants in groundwater.” Ph.D. dissertation, Dept. of Civil Engineering, Princeton Univ.
Taylor, S. W., and P. R. Jaffé. 1990. “Biofilm growth and the related changes in the physical properties of a porous medium: 3. Dispersivity and model verification.” Water Resour. Res. 26 (9): 2171–2180. https://doi.org/10.1029/WR026i009p02171.
Terzaghi, K. V. 1936. “The shearing resistance of saturated soils and the angle between the planes of shear.” In Proc., 1st Int. Conf. on Soil Mechanics and Foundation Engineering, 54–56. Cambridge, MA: Harvard University Press.
Vanapalli, S. K., M. Nicotera, and R. S. Sharma. 2008. “Axis translation and negative water column techniques for suction control.” Geotech. Geol. Eng. 26 (6): 645. https://doi.org/10.1007/s10706-008-9206-3.
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.
Wang, M., L. Kong, and M. Zang. 2015. “Effects of sample dimensions and shapes on measuring soil–water characteristic curves using pressure plate.” J. Rock Mech. Geotech. Eng. 7 (4): 463–468. https://doi.org/10.1016/j.jrmge.2015.01.002.
Wang, M., G. Pande, L. Kong, and Y. Feng. 2017. “Comparison of pore-size distribution of soils obtained by different methods.” Int. J. Geomech. 17 (1): 06016012. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000696.
Wheeler, S., D. Gallipoli, and M. Karstunen. 2002. “Comments on use of the Barcelona basic model for unsaturated soils.” Int. J. Numer. Anal. Methods Geomech. 26 (15): 1561–1571. https://doi.org/10.1002/nag.259.
Wheeler, S., R. Sharma, and M. Buisson. 2003. “Coupling of hydraulic hysteresis and stress–strain behaviour in unsaturated soils.” Geotechnique 53 (1): 41–54. https://doi.org/10.1680/geot.2003.53.1.41.
Yang, X., and X. You. 2013. “Estimating parameters of van Genuchten model for soil water retention curve by intelligent algorithms.” Appl. Math. 7 (5): 1977–1983. https://doi.org/10.12785/amis/070537.
Yu, Y., and R. Kerry Rowe. 2012. “Improved solutions for porosity and specific surface of a uniform porous medium with attached film.” J. Environ. Eng. 138 (4): 436–445. https://doi.org/10.1061/(ASCE)EE.1943-7870.0000480.
Zhang, X. 2016. “Limitations of suction—Controlled triaxial tests in the characterization of unsaturated soils.” Int. J. Numer. Anal. Methods Geomech. 40 (2): 269–296. https://doi.org/10.1002/nag.2401.
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International Journal of Geomechanics
Volume 20 • Issue 2 • February 2020
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©2019 American Society of Civil Engineers.
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Received: Feb 3, 2018
Accepted: Jun 11, 2019
Published online: Dec 3, 2019
Published in print: Feb 1, 2020
Discussion open until: May 3, 2020
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