Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2010, Number 6, Pages 33–44 (Mi vmumm827)  

This article is cited in 3 scientific papers (total in 3 papers)

Mechanics

Models and problems for saturated porous media

G. L. Brovko

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (298 kB) Citations (3)
Abstract: The model of multi-phase fluid-gas-saturated porous media accounting finite deformations of a skeleton, arbitrary flows of fluids and gas, and inter-phase mass transitions is elaborated, the main relations of the boundary value problems in cases of small and arbitrary motions are formulated. Constitutive relations of a skeleton properties (skeleton stresses) and of mutual resistances among components (inner interactions) are considered in detail. Possibilities of inner actions from fluid (gas) flow on skeleton in the forms of knock-on forces, lifting (shifting) forces as well as overturning and rotational (screw) moments are discussed.
Key words: saturated porous media, deformable skeleton, liquid and gas phases, boundary value problems, constitutive relations for skeleton, internal interactions.
Funding agency Grant number
Russian Foundation for Basic Research 06-01-00565
Received: 16.01.2008
Bibliographic databases:
Document Type: Article
UDC: 539.3:532.685
Language: Russian
Citation: G. L. Brovko, “Models and problems for saturated porous media”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2010, no. 6, 33–44
Citation in format AMSBIB
\Bibitem{Bro10}
\by G.~L.~Brovko
\paper Models and problems for saturated porous media
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2010
\issue 6
\pages 33--44
\mathnet{http://mi.mathnet.ru/vmumm827}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2814988}
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  • https://www.mathnet.ru/eng/vmumm/y2010/i6/p33
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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