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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive

Sib. Èlektron. Mat. Izv., 2015 Volume 12, Pages 743–751 (Mi semr623)

This article is cited in 2 papers

Computational mathematics

Mathematical model of water-oil displacement in fractured porous medium

A. A. Kalinkin, Yu. M. Laevsky

Institute of Computational Mathematics and Mathematical Geophysics SB RAS, pr. Lavrenteva 6, 630090, Novosibirsk, Russia

Abstract: Within the mixed finite element method the numerical model for two-phase incompressible fluid filtration is designed in the terms "velocity-pressure-saturation". The main difficulty of the model is caused by fractured porous medium. Our approach allows to resolve difficulties wtith boundary condition degeneration for the saturation.

Keywords: Fractured porous medium, Filtration model, FEM.

UDC: 519.6

Received September 24, 2015, published October 28, 2015

Language: English

DOI: 10.17377/semi.2015.12.060



© Steklov Math. Inst. of RAS, 2025