Technical Papers
Nov 16, 2017

Numerical Modeling of Consolidation of Unsaturated Soils Considering Hydraulic Hysteresis

Publication: International Journal of Geomechanics
Volume 18, Issue 2

Abstract

The consolidation of soils is important to geotechnical engineering practice, such as when assessing the rate of settlement of shallow foundations, embankments, and landfills. In this paper, numerical analyses are performed to study the consolidation of unsaturated soils. The variations of excess pore-air and pore-water pressures and settlement with time are established by solving the governing equations. The flow and deformation of the different constituents of an unsaturated soil are fully coupled in the governing equations. The dependency of soil parameters, including the coefficients of permeability for air and water phases and the constitutive coefficients, is allowed to vary as changes to soil volume and suction occur. The effect of hydraulic hysteresis is investigated by considering different initial locations of the hydraulic states on the soil-water characteristic curve. It is shown that the different initial locations of hydraulic states result in different normalized instantaneous settlements and different initial excess pore pressures. The influence of the degree of saturation is also studied. It is shown that for the lowest degree of saturation, the most significant instantaneous settlement occurs and the total consolidation time is longest. The results of this study provide new insights into unsaturated soil consolidation. This is important because the hydraulic loading history and degree of saturation of the soil should be considered when assessing the rate and magnitude of consolidation settlement.

Get full access to this article

View all available purchase options and get full access to this article.

References

AFENA [Computer software]. University of Sydney, Sydney, Australia.
Barden, L. (1965). “Consolidation of compacted and unsaturated clays.” Géotechnique, 15(3), 267–286.
Biot, M. A. (1941). “General theory of 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.
Brooks, R. H., and Corey, A. T. (1964). “Hydraulic properties of porous medium.” Hydrology Paper 3, Colorado State Univ., Fort Collins, CO.
Conte, E. (2004). “Consolidation analysis for unsaturated soils.” Can. Geotech. J., 41(4), 599–612.
Conte, E. (2006). “Plane strain and axially symmetric consolidation in unsaturated soils.” Int. J. Geomech., 131–135.
Dakshanamurthy, V., and Fredlund, D. G. (1980). “Moisture and air flow in an unsaturated soil.” Proc., 4th Int. Conf. on Expansive Soils, American Society of Civil Engineering, Reston, VA, 1, 514–532.
Dakshanamurthy, V., Fredlund, D. G., and Rahardjo, H. (1984). “Coupled three-dimensional consolidation theory of unsaturated porous media.” Proc., 5th Int. Conf. on Expansive Soils, Australian Geomechanics Society, Adelaide, Australia, 99–103.
Fredlund, D. G. (1996). “The emergence of unsaturated soil mechanics.” 4th Spencer J. Buchanan Lecture, Univ. of Saskatchewan, Saskatoon, SK, Canada, 1–39.
Fredlund, D. G., and Hasan, J. U. (1979). “One-dimensional consolidation theory: Unsaturated soils.” Can. Geotech. J., 16(3), 521–531.
Fredlund, D. G., and Rahardjo, H. (1986). Unsaturated soil consolidation theory and laboratory experimental data, ASTM, Fort Lauderdale, FL.
Gibson, R. E., Schiffman, R. L., and Pu, S. L. (1970). “Plane strain and axially symmetric consolidation of a clay layer on a smooth impervious base.” Q. J. Mech. Appl. Math., 23(4), 505–519.
Ho, L., and Fatahi, B. (2015). “Analytical solution for two-dimensional plane strain consolidation of an unsaturated soil stratum subjected to time-dependent loading.” Comput. Geotech., 67, 1–16.
Ho, L., Fatahi, B., and Khabbaz, H. (2014). “Analytical solution for one-dimensional consolidation of unsaturated soils using eigenfunction expansion method.” Int. J. Numer. Anal. Methods Geomech., 38(10), 1058–1077.
Ho, L., Fatahi, B., and Khabbaz, H. (2015). “A closed form analytical solution for two-dimensional plane strain consolidation of unsaturated soil stratum.” Int. J. Numer. Anal. Methods Geomech., 39(15), 1665–1692.
Khalili, N., Habte, M., and Zargarbashi, S. (2008). “A fully coupled flow deformation model for cyclic analysis of unsaturated soils including hydraulic and mechanical hystereses.” Comput. Geotech., 35(6), 872–889.
Khalili, N., and Khabbaz, M. H. (1998). “A unique relationship for the determination of the shear strength of unsaturated soils.” Géotechnique, 48(5), 681–687.
Khalili, N., and Zargarbashi, S. (2010). “Influence of hydraulic hysteresis on effective stress in unsaturated soils.” Géotechnique, 60(9), 729–734.
Khoshghalb, A., and Khalili, N. (2012). “A meshfree method for fully coupled analysis of flow and deformation in unsaturated porous media.” Int. J. Numer. Anal. Methods Geomech., 737(7), 716–743.
Lloret, A., and Alonso, E. E. (1980). “Consolidation of unsaturated soils including swelling and collapse behaviour.” Géotechnique, 30(4), 449–477.
Lloret, A., Gens, A., Batlle, F., and Alonso, E. E. (1987). “Flow and deformation analysis of partially saturated soils.” Groundwater Effects in Geotechnical Engineering: Proc., 9th European Conf. on Soil Mechanics and Foundation Engineering, Taylor and Francis, Dublin, Ireland, 2, 565–568.
Lu, N., and Kaya, M. (2014). “Power law for elastic moduli of unsaturated soil.” J. Geotech. Geoenviron. Eng., 46–56.
Mašín, D. (2010). “Predicting the dependency of a degree of saturation on void ratio and suction using effective stress principle for unsaturated soils.” Int. J. Numer. Anal. Methods Geomech., 34(1), 73–90.
Moossazadeh, J., and Witczak, M. W. (1981). “Prediction of subgrade moduli for soil that exhibits nonlinear behavior.” Transp. Res. Rec., 810, 9–17.
Ng, C. W. W., Xu, J., and Yung, S. Y. (2009). “Effects wetting–drying and stress ratio on anisotropic stiffness of an unsaturated soil at very small strains.” Can. Geotech. J., 46(9), 1062–1076.
Nishimura, T., and Fredlund, D. G. (2002). “Hysteresis effects resulting from drying and wetting under relatively dry conditions.” Proc., 3rd Int. Conf. on Unsaturated Soils, Swets and Zeitlinger, Lisse, Netherlands, 301–305.
Oh, W. T., Vanapalli, S. K., and Puppala, A. J. (2009). “Semi-empirical model for the prediction of modulus of elasticity for unsaturated soils.” Can. Geotech. J., 46(8), 903–914.
Pedroso, D. M. (2015). “A consistent u-p formulation for porous media with hysteresis.” Int. J. Numer. Methods Eng., 101(8), 606–634.
Poulovassilis, A. (1962). “Hysteresis of pore water-an application of the concept of independent domains.” Soil Sci., 93(6), 405–412.
Qin, A. F., Chen, G. J., Tan, Y. W., and Sun, D. A. (2008). “Analytical solution to one-dimensional consolidation in unsaturated soils.” Appl. Math. Mech., 29(10), 1329–1340.
Qin, A. F., Sun, D. A., and Tan, Y. W. (2010). “Analytical solution to one-dimensional consolidation in unsaturated soils under load varying exponentially with time.” Comput. Geotech., 37(1–2), 233–238.
Russell, A. R. (2014). “How water retention in fractal soils depends on particle and pore sizes, shapes, volumes and surface areas.” Géotechnique, 64(5), 379–390.
Russell, A. R., and Buzzi, O. (2012). “A fractal basis for soil-water characteristics curves with hydraulic hysteresis.” Géotechnique, 62(3), 269–274.
Salager, S., El Youssoufi, M. S., and Saix, C. (2010). “Definition and experimental determination of a soil-water retention surface.” Can. Geotech. J., 47(6), 609–622.
Schiffman, R. L., Chen, A. T., and Jordan, J. C. (1969). “An analysis of consolidation theories.” J. Soil Mech. Found. Div., 95(1), 285–312.
Scott, R. F. (1963). Principles of soil mechanics, Addison-Wesley, London.
Shan, Z. D., Ling, D. S., and Ding, H. J. (2012). “Exact solutions for one-dimensional consolidation of single-layer unsaturated soil.” Int. J. Numer. Anal. Methods Geomech., 36(6), 708–722.
Talsma, T. (1970). “Hysteresis in two sands and the independent domain model.” Water Resour. Res., 6(3), 964–970.
Terzaghi, K. (1943). Theoretical soil mechanics, John Wiley, New York.
Topp, G. C. (1969). “Soil-water hysteresis measured in a sandy loam compared with the hysteretic domain model.” Soil Sci. Soc. Am. J., 33(5), 645–651.
Wong, T. T., Fredlund, D. G., and Krahn, J. (1998). “A numerical study of coupled consolidation in unsaturated soils.” Can. Geotech. J., 35(6), 926–937.
Zhou, A. N., Sheng, D., and Carter, J. P. (2012). “Modelling the effect of initial density on soil-water characteristic curves.” Géotechnique, 62(8), 669–680.
Zhou, W. H., and Zhao, L. S. (2014). “One-dimensional consolidation of unsaturated soil subjected to time-dependent loading with various initial and boundary conditions.” Int. J. Geomech., 291–301.
Zhou, W. H., Zhao, L. S., and Li, X. B. (2014). “A simple analytical solution to one-dimensional consolidation for unsaturated soils.” Int. J. Numer. Anal. Methods Geomech., 38(8), 794–810.

Information & Authors

Information

Published In

Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 18Issue 2February 2018

History

Received: Jan 25, 2017
Accepted: Aug 1, 2017
Published online: Nov 16, 2017
Published in print: Feb 1, 2018
Discussion open until: Apr 16, 2018

Permissions

Request permissions for this article.

Authors

Affiliations

Yi Tang
Postdoctoral Researcher, Geotechnical Engineering Dept., Nanjing Hydraulic Research Institute, Nanjing 210000, China; formerly, Ph.D, Univ. of New South Wales, Sydney, NSW 2052, Australia.
Hossein A. Taiebat
Deceased; formerly, Senior Lecturer, Univ. of New South Wales, Sydney, NSW 2052, Australia.
Adrian R. Russell [email protected]
Associated Professor, Center for Infrastructure Engineering and Safety, School of Civil and Environmental Engineering, Univ. of New South Wales, Sydney, NSW 2052, Australia (corresponding author). E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share