Geodesic
On coefficients of pore tortuosity in the effective Biot model
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 28, Tome 257 (1999), pp. 157-164

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In order to satisfy the derivation of the effective Biot model of porous medium the exact expression of density of kinetic energy is established and studied. In investigating this expression the displacements and their velocities are averaged and dispersion of normalized velocities in the fluid phase is introduced. The involved in Biot equations coefficients of pore tortuosity are expressed in term of dispersion. As result the Biot equations of porous continuous medium are justified. 
@article{ZNSL_1999_257_a10,
     author = {L. A. Molotkov},
     title = {On coefficients of pore tortuosity in the effective {Biot} model},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {157--164},
     publisher = {mathdoc},
     volume = {257},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1999_257_a10/}
}
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L. A. Molotkov. On coefficients of pore tortuosity in the effective Biot model. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 28, Tome 257 (1999), pp. 157-164. http://geodesic.mathdoc.fr/item/ZNSL_1999_257_a10/