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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2010 Number 6, Pages 33–44 (Mi vmumm827)

This article is cited in 3 papers

Mechanics

Models and problems for saturated porous media

G. L. Brovko

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

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.

UDC: 539.3:532.685

Received: 16.01.2008



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