Analytical Treatment of Unsteady Horizontal Seepage
Publication: Journal of Hydraulic Engineering
Volume 110, Issue 11
Abstract
Flow from a stream into an adjacent aquifer is considered as a result of abrupt lowering or raising of the stream level. The governing nonlinear partial differential equation, known as the Boussinesq equation, is reduced to an ordinary one through a Boltzmann transformation. An analytical approximation is obtained by splitting the equation into two parts, of which the nonlinear one is treated as a source. The source term in each iteration step is evaluated in terms of the solution obtained at the previous step. A finite element solution is employed, combined with a Newton‐Raphson procedure. From comparisons, it is shown that the analytical approach is valid for an increase of the stream depth in the range from 1–10 times its initial value. The analytical results are presented in the form of a simple nomogram. A simple algebraic formula is provided for stored volume calculations.
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Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 110 • Issue 11 • November 1984
Pages: 1659 - 1670
Copyright
Copyright © 1984 ASCE.
History
Published online: Nov 1, 1984
Published in print: Nov 1984
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