American Society of Civil Engineers

Two Solutions of Free-Surface Flow in Porous Media

by Gedeon Dagan

Journal of the Engineering Mechanics Division
, Vol. 93, No. 4, July/August 1967, pp. 1-8

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Document type: Journal Paper
Abstract: The movement of the decaying free-surface mound over an aquifer of infinite depth is investigated. Because the problem involves the solution of Laplace equation with a nonlinear boundary condition, an approximate solution is obtained by a small parameter expansion. The computations are carried out for the first-order and second-order terms. The elevation of the mound’s crest as a function of time is represented graphically.

ASCE Subject Headings:
Free flow
Porous media
Fluid flow