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JOURNALS // Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika // Archive

Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2014 Number 6(32), Pages 59–65 (Mi vtgu429)

MECHANICS

Filtration of a gas-liquid medium in a plane horizontal region

A. M. Bubenchikova, V. B. Tsyrenovab, S. G. Tsydypovb

a Tomsk State University, Tomsk, Russian Federation
b Buryat State university, Ulan-Ude, Russian Federation

Abstract: In describing two-phase filtration flows, along with problems of constructing a model of a physical process, there are difficulties of the computational character as well, which are associated with the manifestation of different-scale filtration processes of phases. The paper presents a universal computing technology that implements the van Genuchten mathematical model. An example of two-phase filtration in a plane region is presented.

Keywords: porous volume; anisotropic medium; two-phase filtration; moisture saturation; capillary pressure; iterative-difference technique.

UDC: 532.546

Received: 18.07.2014



© Steklov Math. Inst. of RAS, 2025