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Zapiski Nauchnykh Seminarov POMI, 2008, Volume 354, Pages 112–131 (Mi znsl1647)  
On the ray method for the Biot medium

G. L. Zavorokhin

Saint-Petersburg State University
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Abstract: This work is devoted to investigation of wave propagation in the Biot porous medium, which consists of elastic and fluid phases. The space-time ray decay of the solutions of dynamical equations for the Biot medium is constructed (in anisotropic inhomogeneous case). In inhomogeneous isotropic case the Rytov law analogue is deduced like in elastic theory. Bibl. – 3 titles.
Received: 21.04.2008
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 155, Issue 3, Pages 397–408
DOI: https://doi.org/10.1007/s10958-008-9222-0
Bibliographic databases:
UDC: 550.34
Language: Russian
Citation: G. L. Zavorokhin, “On the ray method for the Biot medium”, Mathematical problems in the theory of wave propagation. Part 37, Zap. Nauchn. Sem. POMI, 354, POMI, St. Petersburg, 2008, 112–131; J. Math. Sci. (N. Y.), 155:3 (2008), 397–408
Citation in format AMSBIB
\Bibitem{Zav08}
\by G.~L.~Zavorokhin
\paper On the ray method for the Biot medium
\inbook Mathematical problems in the theory of wave propagation. Part~37
\serial Zap. Nauchn. Sem. POMI
\yr 2008
\vol 354
\pages 112--131
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1647}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2008
\vol 155
\issue 3
\pages 397--408
\crossref{https://doi.org/10.1007/s10958-008-9222-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-56749091796}
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