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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 1998 Volume 250, Pages 136–152 (Mi znsl647)

This article is cited in 1 paper

Estimation of accuracy of elastic parameters recovery by diffraction tomography method with the use of finite difference method (SV-problem)

Yu. V. Kiselev, V. N. Troyan

Saint-Petersburg State University

Abstract: Numerical simulation of the solution of (2-D,SV) inverse problem on recovery of elastic parameters of local ($\sim\lambda$) inhomogeneity by diffraction tomography method based upon the Born approximation is considered. The direct problem is solved by the finite difference method. The satisfactory accuracy for restoration of non-weak contrast inhomogeneities located in piecewise-homogeneous layered medium is obtained by means of nine source-receiver pairs places at free surface. An example of a numerical estimation of the accuracy of the scattering field calculation in Born approximation with approximation of the wave field by zero term of the ray method is considered.

UDC: 550.834

Received: 10.09.1997


 English version:
Journal of Mathematical Sciences (New York), 2000, 102:4, 4220–4231

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