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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2010 Volume 379, Pages 24–46 (Mi znsl3836)

On the Rayleigh wave propagation along the boundary of an inhomogeneous anisotropic porous Biot medium

G. L. Zavorokhin

Saint-Petersburg State University, Saint-Petersburg, Russia

Abstract: The Rayleigh wave propagation along the traction-free boundary of an inhomogeneous anisotropic fluid-saturated porous solid (a Biot medium) is considered. Analytic expressions for the amplitude and the Berry phase of this oscillation are obtained. These analytic expressions are valid for the arbitrary shape of the porous solid. Bibl. 4 titles.

Key words and phrases: elastic surface waves, Rayleigh waves, Porous media, space-time ray expansion.

UDC: 550.344.56

Received: 12.10.2010


 English version:
Journal of Mathematical Sciences (New York), 2011, 173:3, 254–266

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© Steklov Math. Inst. of RAS, 2024