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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 1999 Volume 257, Pages 157–164 (Mi znsl995)

This article is cited in 5 papers

On coefficients of pore tortuosity in the effective Biot model

L. A. Molotkov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

Abstract: 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.

UDC: 550.34

Received: 09.02.1999


 English version:
Journal of Mathematical Sciences (New York), 2002, 108:5, 752–757

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