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

Аннотация

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.