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On Resolving Inverse Nonstationary Scattering Problems in a Two-Dimensional Homogeneous Layered Medium by the τ–p Radon Transform

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Abstract

We consider a two-dimensional nonstationary inverse scattering problem in a layered homogeneous acoustic medium. The data consist of a scattered wavefield from a surface point source registered on the boundary of the half-plane. We prove the uniqueness of the recovery of an acoustic impedance and velocity in a medium from the scattering data. An algorithm for solving an inverse twodimensional scattering problem as a one-dimensional problem with the parameter based on the τ–p Radon transformation is constructed. Also, the numerical modeling results for the direct scattering problem and solutions of a pair of inverse scattering problems in a layered homogeneous acoustic medium are presented. The proposed algorithm is applicable to data processing in geophysical prospecting both for surface seismics and vertical seismic profiling.

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  1. Moscow State University, Moscow, Russia

    A. V. Baev

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Correspondence to A. V. Baev.

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Original Russian Text © A.V. Baev, 2018, published in Matematicheskoe Modelirovanie, 2018, Vol. 30, No. 3, pp. 101–117.

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Baev, A.V. On Resolving Inverse Nonstationary Scattering Problems in a Two-Dimensional Homogeneous Layered Medium by the τ–p Radon Transform. Math Models Comput Simul 10, 659–669 (2018). https://doi.org/10.1134/S2070048218050022

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  • DOI: https://doi.org/10.1134/S2070048218050022

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