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Reconstruction of pressure and shear velocities and boundaries of thin layers in a thinly stratified stack

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Abstract

A result of reconstruction of velocities of elastic waves and boundaries of thin layers in a thinly stratified stack is presented. For this purpose, the method of residual functional minimization is used. Differentiation of the residual functional with respect to coordinates of gap points of a medium is proved and the appropriate derivative is obtained.

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  1. Sobolev Institute ofMathematics, Siberian Branch, Russian Academy of Sciences, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia

    A. L. Karchevsky

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Original Russian Text © A.L. Karchevsky, 2012, published in Sibirskii Zhurnal Vychislitel’noi Matematiki, 2012, Vol. 15, No. 1, pp. 69–84.

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Karchevsky, A.L. Reconstruction of pressure and shear velocities and boundaries of thin layers in a thinly stratified stack. Numer. Analys. Appl. 5, 54–67 (2012). https://doi.org/10.1134/S1995423912010065

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