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Zapiski Nauchnykh Seminarov POMI, 1999, Volume 257, Pages 157–164
(Mi znsl995)
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This article is cited in 5 scientific papers (total 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.
Received: 09.02.1999
Citation:
L. A. Molotkov, “On coefficients of pore tortuosity in the effective Biot model”, Mathematical problems in the theory of wave propagation. Part 28, Zap. Nauchn. Sem. POMI, 257, POMI, St. Petersburg, 1999, 157–164; J. Math. Sci. (New York), 108:5 (2002), 752–757
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