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Zapiski Nauchnykh Seminarov POMI, 2008, Volume 354, Pages 190–211 (Mi znsl1652)  

This article is cited in 1 scientific paper (total in 1 paper)

Effective model of a porous-fluid medium

L. A. Molotkov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (340 kB) Citations (1)
References:
Abstract: For the medium containing alternating porous Biot layers and fluid layers, the effective model is established by the method of matrix averaging. The investigation of equations of this effective model shows that the wave field consists of the leading front and two triangular fronts. The velocities of these fronts along the axes are determined. If thicknesses of the fluid layers are very small then the second triangular front turns into back concave front and a slow wave arises. This slow wave is of interest for seismics. Bibl. – 11 titles, fig. – 5.
Received: 29.04.2008
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 155, Issue 3, Pages 442–455
DOI: https://doi.org/10.1007/s10958-008-9227-8
Bibliographic databases:
UDC: 550.34
Language: Russian
Citation: L. A. Molotkov, “Effective model of a porous-fluid medium”, Mathematical problems in the theory of wave propagation. Part 37, Zap. Nauchn. Sem. POMI, 354, POMI, St. Petersburg, 2008, 190–211; J. Math. Sci. (N. Y.), 155:3 (2008), 442–455
Citation in format AMSBIB
\Bibitem{Mol08}
\by L.~A.~Molotkov
\paper Effective model of a~porous-fluid medium
\inbook Mathematical problems in the theory of wave propagation. Part~37
\serial Zap. Nauchn. Sem. POMI
\yr 2008
\vol 354
\pages 190--211
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1652}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2008
\vol 155
\issue 3
\pages 442--455
\crossref{https://doi.org/10.1007/s10958-008-9227-8}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-56749170531}
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  • https://www.mathnet.ru/eng/znsl/v354/p190
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:68
     
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