TECHNICAL NOTES
May 1, 2008

Unsaturated Soil Seepage Analysis Using a Rational Transformation Method with Under-Relaxation

Publication: International Journal of Geomechanics
Volume 8, Issue 3

Abstract

The finite-element method provides a convenient and effective means for solving problems of seepage in unsaturated soils. However, convergence difficulties exist in numerical simulations of unsaturated flow analyses because of the high nonlinearity of the soil hydraulic properties. This technical note presents a combination approach consisting of a rational function transformation method and a common under-relaxation technique to solve the h -based form of Richards equation. Numerical studies show that this combined method can use a larger time step and corresponding oscillation-free mesh size to produce acceptable results and also converge to a stable solution quickly in each time step.

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Published In

Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 8Issue 3May 2008
Pages: 207 - 212

History

Received: May 3, 2006
Accepted: Oct 18, 2007
Published online: May 1, 2008
Published in print: May 2008

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Authors

Affiliations

Y.-G. Cheng
Ph.D. Student, Centre for Soft Ground Engineering, Dept. of Civil Engineering, National Univ. of Singapore, Blk E1A, No. 07-03, 1 Engineering Dr. 2, Singapore 117576, Singapore.
K.-K. Phoon, M.ASCE
Associate Professor, Centre for Soft Ground Engineering, Dept. of Civil Engineering, National Univ. of Singapore, Blk E1A, No. 07-03, 1 Engineering Drive 2, Singapore 117576, Singapore (corresponding author). E-mail: [email protected]
T.-S. Tan, M.ASCE
Associate Professor, Centre for Soft Ground Engineering, Dept. of Civil Engineering, National Univ. of Singapore, Blk E1A, No. 07-03, 1 Engineering Drive 2, Singapore 117576, Singapore.

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