Geodesic
On solution of an inverse non-stationary scattering problem in a two-dimentional homogeneous layered medium by means of $\tau-p$ Radon transform
Matematičeskoe modelirovanie, Tome 30 (2018) no. 3, pp. 101-117

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We consider a two-dimensional non-stationary inverse scattering problem in a layered homogeneous acoustic medium. Data is the scattered wavefield from a surface point source, registered on the boundary of the half-plane. We prove the uniqueness of recovering of an acoustic impedance and a velocity in a medium from the scattering data. An algorithm for solving of the inverse two-dimensional scattering problem as a one-dimensional problem with parameter, based on $\tau-p$ Radon transform is constructed. Also, some results of numerical modeling of the direct scattering problem and solving 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 as in surface seismics and vertical seismic profiling.
Keywords: inverse non-stationary scattering problem, layered acoustic medium, acoustic impedance, surface seismics.
Mots-clés : Radon transform, eikonal 
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     author = {A. V. Baev},
     title = {On solution of an inverse non-stationary scattering problem in a two-dimentional homogeneous layered medium by means of $\tau-p$ {Radon} transform},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {101--117},
     publisher = {mathdoc},
     volume = {30},
     number = {3},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2018_30_3_a6/}
}
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A. V. Baev. On solution of an inverse non-stationary scattering problem in a two-dimentional homogeneous layered medium by means of $\tau-p$ Radon transform. Matematičeskoe modelirovanie, Tome 30 (2018) no. 3, pp. 101-117. http://geodesic.mathdoc.fr/item/MM_2018_30_3_a6/