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Journal of Siberian Federal University. Mathematics & Physics, 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
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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.
Funding agency Grant number
Russian Science Foundation 23-71-10045
The study was supported by the Russian Science Foundation grant no. 23-71-10045, https://rscf.ru/project/23-71-10045/.
Received: 19.10.2024
Received in revised form: 02.12.2024
Accepted: 09.01.2025
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: Margarita A. Tokareva, Alexander A. Papin, “Filtration of two immiscible liquids in a viscoelastic porous medium”, J. Sib. Fed. Univ. Math. Phys., 18:2 (2025), 253–261
Citation in format AMSBIB
\Bibitem{TokPap25}
\by Margarita~A.~Tokareva, Alexander~A.~Papin
\paper Filtration of two immiscible liquids in a viscoelastic porous medium
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2025
\vol 18
\issue 2
\pages 253--261
\mathnet{http://mi.mathnet.ru/jsfu1240}
\edn{https://elibrary.ru/UBPBHA}
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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