Homogenization of the Equations of Filtration of a Viscous Fluid in Two Porous Media

A homogenized model of filtration of a viscous fluid in two domains with common boundary is deduced on the basis of the method of two-scale convergence. The domains represent an elastic medium with perforated pores. The fluid, filling the pores, is the same in both domains, and the properties of the...

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Veröffentlicht in:Siberian mathematical journal 2018-09, Vol.59 (5), p.909-921
Hauptverfasser: Meirmanov, A. M., Gritsenko, S. A.
Format: Artikel
Sprache:eng
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Zusammenfassung:A homogenized model of filtration of a viscous fluid in two domains with common boundary is deduced on the basis of the method of two-scale convergence. The domains represent an elastic medium with perforated pores. The fluid, filling the pores, is the same in both domains, and the properties of the solid skeleton are distinct.
ISSN:0037-4466
1573-9260
DOI:10.1134/S0037446618050154