Inverse problem of velocity reconstruction in weakly lateral heterogeneous half-space

A wave propagation generated by a boundary source into a weakly lateral heterogeneous medium (WLHM) occupying a half-space is considered in the acoustic approximation. WLHM means that the velocity of the wave propagation depends weakly on the horizontal coordinates in comparison with the strong dependence on the vertical coordinate z. We consider the problem of the reconstruction of the velocity inside the half-space from the knowledge of the medium response measured at z=0. We obtain a recurrent system of 1D inverse problems to find...