Semipermeable boundaries and heterogeneities: Modeling by singularities

A. R. Kacimov, Yu V. Obnosov

Research output: Contribution to journalArticle

13 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)217-224
Number of pages8
JournalJournal of Hydrologic Engineering
Volume6
Issue number3
DOIs
Publication statusPublished - May 2001

Fingerprint

Dams
Skin
permeability
skin
Seepage
dam
Refraction
modeling
Porous materials
Vortex flow
Boundary conditions
Fluxes
Membranes
refraction
seepage
vortex
porous medium
boundary condition
membrane

ASJC Scopus subject areas

  • Environmental Chemistry
  • Civil and Structural Engineering
  • Water Science and Technology
  • Environmental Science(all)

Cite this

Semipermeable boundaries and heterogeneities : Modeling by singularities. / Kacimov, A. R.; Obnosov, Yu V.

In: Journal of Hydrologic Engineering, Vol. 6, No. 3, 05.2001, p. 217-224.

Research output: Contribution to journalArticle

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