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Zap. Nauchn. Sem. POMI, 2008 Volume 354, Pages 112–131 (Mi znsl1647)

On the ray method for the Biot medium

G. L. Zavorokhin

Saint-Petersburg State University

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.

UDC: 550.34

Received: 21.04.2008


 English version:
Journal of Mathematical Sciences (New York), 2008, 155:3, 397–408

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