Iterative reconstruction of multidimensional objects buried in inhomogeneous elastic media

We consider an object buried in an inhomogeneous elastic background material. The entire medium, comprising object and background, is probed by a body force and the field scattered by the object is observed at some known receiver location. The goal is to use those measurements to determine the object position as well as the magnitude of its elastic parameters. The main difficulties arise from the nonlinearity and ill-posedness of such inverse problems. Using the Born approximation, we have previously developed a general framework based on vector integral equations. To circumvent some of the limitations of this approximation, we propose to tackle the problem iteratively. The paper presents a two-step iterative procedure alternating direct and inverse modelling to improve on the resolution and accuracy of the original reconstruction