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Estimate of the precision of determination of elastic parameters by the diffraction tomography method with the use of the finite-difference method (the SV-problem)

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Abstract

In the present paper, the finite-difference method is used for the solution of the direct problem, which enables us to take into account the diffraction phenomenon on local inhomogeneities of not weak contrast. Examples that allow us to estimate the precision of restoration of the parameters of such inhomogeneities, depending on the degree of their contrast, are given. The possibility of restoring the parameters of a local inhomogeneity in a medium containing interfaces with stepwise change of elastic properties for the case where source and receiver points are located on the free surface is demonstrated. An example of the numerical estimation of the precision of calculation of a scattered field in the Born approximation, approximating the wave field by the zero term of the ray method, is offered. Bibliography: 11 titles.

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Authors
  1. Yu. V. Kiselev
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  2. V. N. Troyan
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Additional information

Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 250, 1998, pp. 136–152.

Translated by Yu. V. Kiselev

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Kiselev, Y.V., Troyan, V.N. Estimate of the precision of determination of elastic parameters by the diffraction tomography method with the use of the finite-difference method (the SV-problem). J Math Sci 102, 4220–4231 (2000). https://doi.org/10.1007/BF02673853

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  • DOI: https://doi.org/10.1007/BF02673853

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