Solution of the inverse seismic problem in a layered elastic medium by means of the τ-p Radon transform

Author:

Baev Andrey V.

Abstract

Abstract We consider the inverse scattering problem in a layer-homogeneous elastic structure filling a half-plane. Scattering data is the seismic wave field registered on the boundary with a surface point source. We prove that velocities of longitudinal and transverse waves, and a density of the medium are recovered by a unique way. The algorithm of the inverse problem solution is based on the τ-p Radon transform. Also, we present some results of numerical modeling for waves propagation and solving of the inverse problem.

Funder

Russian Foundation for Basic Research

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics

Reference68 articles.

1. On the solution of the inverse boundary value problem for the wave equation with a discontinuous coefficient;Comp. Math. Math. Phys.,1988

2. Direct and inverse scattering problems of plane waves in inhomogeneous layers;Mat. Problemy Geofiz.,1972

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