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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2012, Volume 15, Number 1, Pages 67–82
(Mi sjvm459)
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This article is cited in 2 scientific papers (total in 2 papers)
Reconstruction of pressure and shear velocities and boundaries of thin layers in a thinly stratified layer
A. L. Karchevsky Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Abstract:
In this paper, a result of reconstruction of velocities of elastic waves and boundaries of thin layers in a thinly stratified layer is presented. For this purpose, the method of residual functional minimization was used. Differentiation of the residual functional with respect to coordinates of gap points of a medium was proved and the appropriate derivative was obtained.
Key words:
inverse problem, pressure velocity, shear velocity, gap point of medium, horizontaly stratified medium, thinly stratified layer, residual functional, gradient of residual functional, layer stripping method.
Received: 23.03.2011 Revised: 11.04.2011
Citation:
A. L. Karchevsky, “Reconstruction of pressure and shear velocities and boundaries of thin layers in a thinly stratified layer”, Sib. Zh. Vychisl. Mat., 15:1 (2012), 67–82; Num. Anal. Appl., 5:1 (2012), 54–67
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https://www.mathnet.ru/eng/sjvm459 https://www.mathnet.ru/eng/sjvm/v15/i1/p67
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Abstract page: | 339 | Full-text PDF : | 144 | References: | 63 | First page: | 9 |
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