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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2011 Volume 393, Pages 101–110 (Mi znsl4617)

This article is cited in 2 papers

Wave field from a point source on an open boundary of half plane Biot

G. L. Zavorokhin

St. Petersburg State University, St. Petersburg, Russia

Abstract: Initial boundary value problem of wave propagation in half plane filled with fluid-saturated porous solid is considered. Biot's medium is isotropic homogeneous and pores are opened on the boundary. Using complex analysis techniques, explicit formulae for components of displacement vectors in elastic and fluid phases are obtained.

Key words and phrases: Lamb's problem, porous media, Biot's theory, Rayleigh wave, head wave, wave propagation.

UDC: 550.34

Received: 14.11.2011


 English version:
Journal of Mathematical Sciences (New York), 2012, 185:4, 567–572

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