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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 264, Pages 197–216 (Mi znsl1177)  
About the matrix method in the theory of wave propagation in layered porous Biot media

L. A. Molotkov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (259 kB)
Abstract: Wave propagation in porous Biot media with homogeneous isotropic layers is investigated by matrix method. In order to use this method the matrices describing porous layers and half-spaces are established. On the basic of these matrices the wave fields in layered porous media are derived and explored. In this paper the matrices of inhomogeneous porous layers are determined also and these matrices are expressed by convergent series.
Received: 02.12.1999
English version:
Journal of Mathematical Sciences (New York), 2002, Volume 111, Issue 5, Pages 3737–3749
DOI: https://doi.org/10.1023/A:1016346228392
Bibliographic databases:
UDC: 550.34
Language: Russian
Citation: L. A. Molotkov, “About the matrix method in the theory of wave propagation in layered porous Biot media”, Mathematical problems in the theory of wave propagation. Part 29, Zap. Nauchn. Sem. POMI, 264, POMI, St. Petersburg, 2000, 197–216; J. Math. Sci. (New York), 111:5 (2002), 3737–3749
Citation in format AMSBIB
\Bibitem{Mol00}
\by L.~A.~Molotkov
\paper About the matrix method in the theory of wave propagation in layered porous Biot media
\inbook Mathematical problems in the theory of wave propagation. Part~29
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 264
\pages 197--216
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1177}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1796427}
\zmath{https://zbmath.org/?q=an:1028.74029}
\transl
\jour J. Math. Sci. (New York)
\yr 2002
\vol 111
\issue 5
\pages 3737--3749
\crossref{https://doi.org/10.1023/A:1016346228392}
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