Research Article
Dec 1973
Saturated-Unsaturated Seepage by Finite Elements
Publication: Journal of the Hydraulics Division
Volume 99, Issue 12
Abstract
A Galerkin-type finite element method is employed to solve the quasilinear partial differential equations of transient seepage in saturated-unsaturated porous media. The resulting computer program is capable of handling nonuniform flow regions having complex boundaries and arbitrary degrees of local anisotropy. Flow can take place in a vertical plane, in a horizontal plane, or in a three-dimensional system with radial symmetry. An arbitrary number of seepage faces can be considered simultaneously, and the positions of the exit points on these boundaries are adjusted automatically during each time step. Two examples, one of seepage through an earth dam with a sloping core and horizontal drainage blanket, and the other of seepage through a layered medium cut by a complex topography, are included. These examples indicate that the classical concept of a free surface is not always applicable when dealing with transient seepage through soils.
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Published In
Journal of the Hydraulics Division
Volume 99 • Issue 12 • December 1973
Pages: 2233 - 2250
Copyright
© 1973 American Society of Civil Engineers.
History
Published in print: Dec 1973
Published online: Feb 3, 2021
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Authors
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Shlomo P. Neuman
Sr. Sci., Inst. of Soils and Water, Agr. Res. Organization, The Volcani Ctr., Bet Dagan, Israel
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