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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 1997 Volume 239, Pages 164–196 (Mi znsl456)

The jumps of displacements and stresses as seismic sources in Biot medium

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: For the various point sources in homogeneous isotropic Biot medium the wave fields are determined. These sources are the centers of compressions and dilatations, the jumps of displacements and stresses, and various force couples. Among these sources the elementary point sources are selected. The wave field from all other sources can be expressed by means of the field of the elementary point sources. The wave fields of the all point sources are expressed by two ways: by the integral transforms of Fourier–Bessel and Laplace and by the formulas of Stokes form.

UDC: 517.934+550.34

Received: 15.07.1996


 English version:
Journal of Mathematical Sciences (New York), 1999, 96:4, 3386–3406

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