Probabilistic Analysis of Soil-Water Characteristic Curves
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 136, Issue 3
Abstract
Direct measurement of the soil-water characteristic curve (SWCC) is costly and time consuming. A first-order estimate from statistical generalization of experimental data belonging to soils with similar textural and structural properties is useful. A simple approach is to fit the data with a nonlinear function and to construct an appropriate probability model of the curve-fitting parameters. This approach is illustrated using sandy clay loam, loam, loamy sand, clay, and silty clay data in Unsaturated Soil Database. This paper demonstrates that a lognormal random vector is suitable to model the curve-fitting parameters of the SWCC. Other probability models using normal, gamma, Johnson, and other distributions do not provide better fit than the proposed lognormal model. The engineering impact of adopting a probabilistic SWCC is briefly discussed by studying the uncertainty of unsaturated shear strength due to the uncertainty of SWCC.
Get full access to this article
View all available purchase options and get full access to this article.
References
Ang, A. H.-S., and Tang, W. (1979). Probability concepts in engineering planning and design. Volume I: Basic principles, Wiley, New York.
Azzalini, A. (1985). “A class of distributions which includes the normal ones.” Scand. J. Stat., 12, 171–178.
Burger, C. A., and Shackelford, C. D. (2001). “Evaluating dual porosity of pelletized diatomaceous earth using bimodal soil-water characteristic curve functions.” Can. Geotech. J., 38, 53–66.
Carsel, R. F., and Parrish, R. S. (1988). “Developing joint probability distributions of soil water retention characteristics.” Water Resour. Res., 24, 755–769.
de Rooij, G. H., Kasteel, R. T. A., Papritz, A., and Flühler, H. (2004). “Joint distributions of the unsaturated soil hydraulic parameters and their effect on other variates.” Vadose Zone J., 3, 947–955.
Fredlund, D. G., and Xing, A. (1994). “Equations for the soil-water characteristic curve.” Can. Geotech. J., 31, 521–532.
Fredlund, D. G., Xing, A., and Huang, S. (1994). “Predicting the permeability function for unsaturated soils using the soil-water characteristic curve.” Can. Geotech. J., 31, 533–546.
Fredlund, M., Gitirana, G. F. N., Jr., and Pham, H. (2008). “A methodology for applying probability theory to unsaturated hydraulic properties for seepage analysis.” Proc., GeoCongress 2008: The Challenge of Sustainability in the Geoenvironment, Geotechnical Special Publication 178, ASCE, Reston, Va.
Gitirana, G. F. N., Jr., and Fredlund, D. G. (2004). “Soil-water characteristic curve equation with independent properties.” J. Geotech. Geoenviron. Eng., 130(2), 209–212.
Hills, R. G., Hudson, D. B., and Wierenga, P. J. (1992). “Spatial variability at the Las Cruces Trench site.” Indirect methods for estimating the hydraulic properties of unsaturated soils, M. T. van Genuchten, F. J. Leij, and L. J. Lund, eds., University of California, Riverside, Riverside, Calif., 529–538.
Johnson, N. L., Kotz, S., and Balakrishnan, N. (1994). Continuous univariate distributions, Vol. 1, Wiley, New York.
Leij, F. J., Alves, W. J., van Genuchten, M. T., and Williams, J. R. (1996). “The UNSODA unsaturated soil hydraulic database user’s manual, version 1.0.” Rep. No. EPA-600-R-96-095, U.S. EPA, Washington, D.C.
Lu, N., and Griffiths, D. V. (2004). “Profiles of steady-state suction stress in unsaturated soils.” J. Geotech. Geoenviron. Eng., 130(10), 1063–1076.
Miller, C. J., Yesiller, N., Yaldo, K., and Merayyan, S. (2002). “Impact of soil type and compaction conditions on SWCC.” J. Geotech. Geoenviron. Eng., 128(9), 733–742.
Montgomery, D. C., and Runger, G. C. (2003). Applied statistics and probability for engineers, Wiley, New York.
Mualem, Y. (1976). “A new model for predicting the hydraulic conductivity of unsaturated porous media.” Water Resour. Res., 12, 593–622.
Olson, R. E., and Daniel, D. E. (1981). “Measurement of the hydraulic conductivity of fine-grained soils.” Permeability and groundwater contaminant transport, ASTM special tech. publ. 746, T. F. Zimmie and C. O. Riggs, eds., ASTM, West Conshohocken, Pa.
Parent, S. E., Cabral, A., and Zornberg, J. G. (2007). “Water retention curve and hydraulic conductivity function of highly compressible materials.” Can. Geotech. J., 44, 1200–1214.
Phoon, K. K. (2004). “Vulnerability and risk associated with geohazards, general non-Gaussian probability models for first-order reliability method (FORM): A state-of-the-art report.” ICG Rep. No. 2004-2-4, International Centre for Geohazards, Oslo, Norway.
Phoon, K. K. (2006). “Modeling and simulation of stochastic data.” Proc., GeoCongress 2006: Geotechnical Engineering in the Information Technology Age (CD-ROM), D. J. DeGroot, J. T. DeJong, J. D. Frost, and L. G. Braise, eds., ASCE, Reston, Va.
Phoon, K. K., Chen, J. R., and Kulhawy, F. H. (2006). “Characterization of model uncertainties for augered cast-in-place (ACIP) piles under axial compression.” Foundation analysis & design: Innovative methods (GSP 153), R. L. Parsons, L. M. Zhang, W. D. Guo, K. K. Phoon, and M. Yang, eds., ASCE, Reston, Va., 82–89.
Phoon, K. K., Chen, J. R., and Kulhawy, F. H. (2007). “Probabilistic hyperbolic models for foundation uplift movement.” Probabilistic applications in geotechnical engineering (GSP 170) (CD-ROM), K. K. Phoon, G. A. Fenton, E. F. Glynn, C. H. Juang, D. V. Griffiths, T. F. Wolff, and L. M. Zhang, eds., ASCE, Reston, Va.
Phoon, K. K., and Kulhawy, F. H. (1999). “Characterization of geotechnical uncertainty.” Can. Geotech. J., 36, 612–624.
Phoon, K. K., Santoso, A., and Cheng, Y. G. (2008). “Probabilistic analysis of soil water characteristic curves from sandy clay loam.” Proc., GeoCongress 2008: The Challenge of Sustainability in the Geoenvironment, Geotechnical Special Publication 178, ASCE, Reston, Va.
Sillers, W. S., and Fredlund, D. G. (2001). “Statistical assessment of soil-water characteristic curve models for geotechnical engineering.” Can. Geotech. J., 38, 1297–1313.
van Genuchten, M. T. (1980). “A closed form equation predicting the hydraulic conductivity of unsaturated soils.” Soil Sci. Soc. Am. J., 44, 892–898.
Zhang, L. L., Zhang, L. M., and Tang, W. H. (2003). “Importance of considering correlations among parameters of soil-water characteristic curve.” Applications of statistics and probability in civil engineering, A. Der Kiureghian, S. Madanat, and J. Pestana, eds., Milpress, Rotterdam, The Netherlands.
Information & Authors
Information
Published In
Copyright
© 2010 ASCE.
History
Received: Feb 3, 2008
Accepted: Aug 18, 2009
Published online: Feb 12, 2010
Published in print: Mar 2010
Authors
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.