This article is cited 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.

UDC: 517.926.7

Received: 23.03.2011
Revised: 11.04.2011

 English version: Numerical Analysis and Applications, 2012, 5:1, 54–67

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