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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2008 Volume 354, Pages 190–211 (Mi znsl1652)

This article is cited in 1 paper

Effective model of a porous-fluid medium

L. A. Molotkov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

Abstract: For the medium containing alternating porous Biot layers and fluid layers, the effective model is established by the method of matrix averaging. The investigation of equations of this effective model shows that the wave field consists of the leading front and two triangular fronts. The velocities of these fronts along the axes are determined. If thicknesses of the fluid layers are very small then the second triangular front turns into back concave front and a slow wave arises. This slow wave is of interest for seismics. Bibl. – 11 titles, fig. – 5.

UDC: 550.34

Received: 29.04.2008


 English version:
Journal of Mathematical Sciences (New York), 2008, 155:3, 442–455

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© Steklov Math. Inst. of RAS, 2024