Detection of a single elliptic-shape buried object in stratified elastic media: Anti-plane problem

The paper is concerned with the direct and inverse problem for a buried object in the stratified elastic medium. It is assumed that a force point is applied on the upper boundary surface, to generate a certain wave field inside the medium. Then we construct an algorithm to identify the position and the size of the buried object. The input data for the reconstruction is the measured amplitude of the upper boundary oscillations given over a certain finite-length interval. Some numerical examples demonstrate the stability of the proposed algorithm.