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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2001, Volume 4, Number 3, Pages 259–268 (Mi sjvm399)  
This article is cited in 22 scientific papers (total in 22 papers)

Numerical solution of the inverse problem for a system of elasticity with the aftereffect for a vertically inhomogeneous medium

A. L. Karchevskya, A. G. Fatianovb

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences
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Abstract: In this paper, the results of numerical solution of a 1-D inverse problem for a system of elasticity with the aftereffect for a vertically inhomogeneous medium are presented. The Boltzmann model is chosen to take into account the aftereffect. The purpose of the inverse problem is to reconstruct the longitudinal and transverse velocities by using the known longitudinal and transverse displacements at the surface. A series of model calculations is carried out, and the results of reconstructions of a velocity model of the medium typical for Western Siberia are presented.
Received: 12.04.2000
Revised: 31.10.2000
Bibliographic databases:
Document Type: Article
UDC: 517.956.3
Language: Russian
Citation: A. L. Karchevsky, A. G. Fatianov, “Numerical solution of the inverse problem for a system of elasticity with the aftereffect for a vertically inhomogeneous medium”, Sib. Zh. Vychisl. Mat., 4:3 (2001), 259–268
Citation in format AMSBIB
\Bibitem{KarFat01}
\by A.~L.~Karchevsky, A.~G.~Fatianov
\paper Numerical solution of the inverse problem for a~system of elasticity with the aftereffect for a~vertically inhomogeneous medium
\jour Sib. Zh. Vychisl. Mat.
\yr 2001
\vol 4
\issue 3
\pages 259--268
\mathnet{http://mi.mathnet.ru/sjvm399}
\zmath{https://zbmath.org/?q=an:0982.86004}
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    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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