Research Article
Mar 1974
Subsurface Drainage Solutions by Galerkin's Method
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VIEW THE REPLYPublication: Journal of the Irrigation and Drainage Division
Volume 100, Issue 1
Abstract
For the solution of drainage problems, a linearized form of Boussinesq's equation is often used. To improve the design, higher order approximations have been used. In this paper a variation of Galerkin's method is used to solve the nonlinear Boussinesq equation. By comparison it is found that the linearized method, when the drawdown to aquifer depth ratio, H/d, becomes large, provides too optimistic designs. The design criteria based on the linearized Boussinesq equation overestimates the rate of drainage for two reasons: (1) they do not account for important nonlinear effects; and (2) they do not account for the delaying effect of the unsaturated flow condition above the water table. The use of Galerkin's method makes it possible to account for the nonlinear effect which is quite significant. This is illustrated on a design example.
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Published In
Journal of the Irrigation and Drainage Division
Volume 100 • Issue 1 • March 1974
Pages: 1 - 15
Copyright
© 1974 American Society of Civil Engineers.
History
Published in print: Mar 1974
Published online: Feb 11, 2021
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Authors
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Purushottam Dass
Grad. Res. Asst., Dept. of Civ. Engrg., Colorado State Univ., Fort Collins, Colo., USA
Hubert J. Morel-Seytoux, M.ASCE
Chargé de Recherches au CNRS, Univ. Scientifique et Médicale de Grenoble, France, on leave from Colorado State Univ., Fort Collins, Colo., France
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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.