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JOURNALS // Journal of Siberian Federal University. Mathematics & Physics // Archive

J. Sib. Fed. Univ. Math. Phys., 2025 Volume 18, Issue 2, Pages 253–261 (Mi jsfu1240)

Filtration of two immiscible liquids in a viscoelastic porous medium

Margarita A. Tokareva, Alexander A. Papin

Altai State University, Barnaul, Russian Federation

Abstract: Governing equations for the motion of two immiscible fluids in a poroelastic skeleton are obtained within the framework of the theory of interacting continua. The stability of the steady-state solution of the system is investigated.

Keywords: poroelasticity, two-phase filtration, Darcy's law, stability, viscoelasticity.

UDC: 517.9

Received: 19.10.2024
Received in revised form: 02.12.2024
Accepted: 09.01.2025

Language: English



© Steklov Math. Inst. of RAS, 2026