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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2000 Volume 264, Pages 197–216 (Mi znsl1177)

About the matrix method in the theory of wave propagation in layered porous Biot media

L. A. Molotkov

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

Abstract: Wave propagation in porous Biot media with homogeneous isotropic layers is investigated by matrix method. In order to use this method the matrices describing porous layers and half-spaces are established. On the basic of these matrices the wave fields in layered porous media are derived and explored. In this paper the matrices of inhomogeneous porous layers are determined also and these matrices are expressed by convergent series.

UDC: 550.34

Received: 02.12.1999


 English version:
Journal of Mathematical Sciences (New York), 2002, 111:5, 3737–3749

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© Steklov Math. Inst. of RAS, 2024