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

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 tau-p Radon transform. Also, we present some results of numerical modeling for waves propagation and solving of the inverse problem.