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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2013, Number 5(25), Pages 45–51 (Mi vtgu347)  
This article is cited in 1 scientific paper (total in 1 paper)

MECHANICS

Two-phase filtration in a pipe filled with a porous material

D. O. Dil', A. M. Bubenchikov

Tomsk State University
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Abstract: Based on the analysis of the present-day state of works on the seepage theory, a mathematical model of two-phase flow in anisotropic porous medium is established. A numerical solution using the control volume method and Newton's iteration algorithm is proposed. As an example, one-dimensional developing motion of a gas-fluid medium in a homogeneous porous material is considered.
Keywords: porous volume, two-phase medium, water saturation, capillary pressure, control volume, nonlinear residuals, Newton's method.
Received: 30.03.2013
Document Type: Article
UDC: 532.546
Language: Russian
Citation: D. O. Dil', A. M. Bubenchikov, “Two-phase filtration in a pipe filled with a porous material”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2013, no. 5(25), 45–51
Citation in format AMSBIB
\Bibitem{DilBub13}
\by D.~O.~Dil', A.~M.~Bubenchikov
\paper Two-phase filtration in a~pipe filled with a~porous material
\jour Vestn. Tomsk. Gos. Univ. Mat. Mekh.
\yr 2013
\issue 5(25)
\pages 45--51
\mathnet{http://mi.mathnet.ru/vtgu347}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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