Semipermeable Boundaries and Heterogeneities: Modeling by Singularities

Semipermeable Boundaries and Heterogeneities: Modeling by Singularities

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...

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Veröffentlicht in:Journal of hydrologic engineering 2001-06, Vol.6 (3), p.217-224
Hauptverfasser: Kacimov, A. R, Obnosov, Yu. V
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Obnosov, Yu. V
description 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.
doi_str_mv 10.1061/(ASCE)1084-0699(2001)6:3(217)
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title Semipermeable Boundaries and Heterogeneities: Modeling by Singularities
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