Research Article
Jun 1979
Transient Reservoir-Aquifer Interaction
Publication: Journal of the Hydraulics Division
Volume 105, Issue 6
Abstract
The moving boundary problem of the interaction of a reservoir-aquifer system is studied. The nonlinear PDE of Boussinesq is used to describe the transient flow conditions in the semi-infinite, unconfined aquifer. The method of solution involves discretization of only the time derivative to obtain an ODE in space. The resulting ODE is integrated analytically once and the remaining initial value problem is solved numerically. The solution developed is of the similarity type. The cases of sudden drawdown and buildup are considered, and computed dimensionless profiles vs. dimensionless similarity parameter are compared with experimental data, exact-analytical, linear-analytical and numerical solutions for different boundary values. Also analytical relationships for the exchange flows and flow volumes have been derived.
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Published In
Journal of the Hydraulics Division
Volume 105 • Issue 6 • June 1979
Pages: 637 - 645
Copyright
© 1979 American Society of Civil Engineers.
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Published in print: Jun 1979
Published online: Feb 3, 2021
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Authors
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Antonis D. Koussis, AM.ASCE
Asst. Prof., Dept. of Civ. Engrg., Northeastern Univ., Boston, Mass., USA
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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.
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.