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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 1997 Volume 239, Pages 140–163 (Mi znsl454)

This article is cited in 3 papers

The effective models of the stratified media containing porous Biot layers

L. A. Molotkova, A. V. Bakulinb

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Saint-Petersburg State University

Abstract: The periodic stratified media with alternating layers are investigated in three cases, when a period consists of: 1) two different porous Biot layers, 2) porous and elastic layers, 3) porous and fluid layers. In the case of alternating porous layers the effective model is proved to be generalized transversaly isotropic Biot medium. In this medium fluid density and averaged density are tensors. The effective model of stratified porous-fluid medium is a partial case of generalized transversaly isotropic Biot model and a generalization of effective model of layered fluid-solid medium.

UDC: 550.34

Received: 19.06.1996


 English version:
Journal of Mathematical Sciences (New York), 1999, 96:4, 3371–3385

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