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Zapiski Nauchnykh Seminarov POMI, 1999, Volume 257, Pages 157–164 (Mi znsl995)  
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
Full-text PDF (135 kB) Citations (5)
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
English version:
Journal of Mathematical Sciences (New York), 2002, Volume 108, Issue 5, Pages 752–757
DOI: https://doi.org/10.1023/A:1013259414812
Bibliographic databases:
UDC: 550.34
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Mol99}
\by L.~A.~Molotkov
\paper On coefficients of pore tortuosity in the effective Biot model
\inbook Mathematical problems in the theory of wave propagation. Part~28
\serial Zap. Nauchn. Sem. POMI
\yr 1999
\vol 257
\pages 157--164
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl995}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1754699}
\zmath{https://zbmath.org/?q=an:1071.74565}
\transl
\jour J. Math. Sci. (New York)
\yr 2002
\vol 108
\issue 5
\pages 752--757
\crossref{https://doi.org/10.1023/A:1013259414812}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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