Analytical solutions to a problem of sink-source flow in a porous medium

A. R. Kacimov, Yu V. Obnosov

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

New analytical solution to the problem of fluid flow in a porous reservoir composed by rectangular blocks is presented. The Muskat linear, five-point, and chess-type patterns of injection-extraction wells (IEW) are obtained as special cases of this solution. Streamlines, isochrones, breakthrough curves are evaluated in terms of the model of pure advection. Effective conductivity of these patterns is obtained explicitly and compared with Muskat's values which occurred to be good approximations of the rigorous formulae. Numerical procedure of particle tracking is verified on the Rankine flow pattern for a pair of IEW placed in an uniform groundwater flow and the Polubarinova-Kochina solution for a pumping well in an aquifer with a circular inhomogeneity. Applications to a network of octogonal honey-comb blocks and filled fractures-orifices are discussed.

Original languageEnglish
Pages (from-to)325-351
Number of pages27
JournalArab Gulf Journal of Scientific Research
Volume15
Issue number2
Publication statusPublished - 1997

Fingerprint

porous media
porous medium
well
comb honey
injection
groundwater flow
honey
breakthrough curve
inhomogeneity
flow pattern
aquifers
fluid flow
pumping
advection
conductivity
aquifer

ASJC Scopus subject areas

  • Plant Science
  • Aquatic Science
  • Ecology

Cite this

Analytical solutions to a problem of sink-source flow in a porous medium. / Kacimov, A. R.; Obnosov, Yu V.

In: Arab Gulf Journal of Scientific Research, Vol. 15, No. 2, 1997, p. 325-351.

Research output: Contribution to journalArticle

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