Semipermeable Boundaries and Heterogeneities: Modeling by Singularities
Publication: Journal of Hydrologic Engineering
Volume 6, Issue 3
Abstract
A semipermeable membrane (low permeability skin around a well) is modeled by a sink at the center of the well. The sink solution does not exist for thick or resistive skins. Seepage around a low permeability dam contour is modeled by a vortex. The curve, along which the third-type boundary condition holds, is reconstructed from the equation of the contour in polar coordinates. Flow around an impermeable dam in a porous medium containing a semiparabolic interface is studied analytically with the refraction condition, i.e., continuity of the head and normal flux along the interface between zones of contrasting permeability.
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Information & Authors
Information
Published In
Journal of Hydrologic Engineering
Volume 6 • Issue 3 • June 2001
Pages: 217 - 224
History
Received: Sep 17, 1999
Published online: Jun 1, 2001
Published in print: Jun 2001
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