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Zapiski Nauchnykh Seminarov 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
Full-text PDF (385 kB)
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.
Received: 15.07.1996
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 96, Issue 4, Pages 3386–3406
DOI: https://doi.org/10.1007/BF02172817
Bibliographic databases:
UDC: 517.934+550.34
Language: Russian
Citation: L. A. Molotkov, A. V. Bakulin, “The jumps of displacements and stresses as seismic sources in Biot medium”, Mathematical problems in the theory of wave propagation. Part 26, Zap. Nauchn. Sem. POMI, 239, POMI, St. Petersburg, 1997, 164–196; J. Math. Sci. (New York), 96:4 (1999), 3386–3406
Citation in format AMSBIB
\Bibitem{MolBak97}
\by L.~A.~Molotkov, A.~V.~Bakulin
\paper The jumps of displacements and stresses as seismic sources in Biot medium
\inbook Mathematical problems in the theory of wave propagation. Part~26
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 239
\pages 164--196
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl456}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1700649}
\zmath{https://zbmath.org/?q=an:0973.74540}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 96
\issue 4
\pages 3386--3406
\crossref{https://doi.org/10.1007/BF02172817}
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