Geodesic
Models and problems for saturated porous media
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2010), pp. 33-44

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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. 
@article{VMUMM_2010_6_a6,
     author = {G. L. Brovko},
     title = {Models and problems for saturated porous media},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {33--44},
     publisher = {mathdoc},
     number = {6},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2010_6_a6/}
}
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G. L. Brovko. Models and problems for saturated porous media. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2010), pp. 33-44. http://geodesic.mathdoc.fr/item/VMUMM_2010_6_a6/