Multidimensional Seismic Inversion

Our goal is present a theory for determining the characteristics of the interior of a body bases only on observations made on some boundary surface. In particular, we are interested in finding ways of imaging structures inside a body. In addition to imaging, we hae the more ambitious goal of actually determining values of certain material parameters characteristic to these structures. This problem is encountered in many branches of applied science. This include such diverse disciplines as Earth science, medicine, materials science, archaeology, and the ocean sciences-just to name a few. These disciplines all face the same problem of mapping structures in environments where it is either impossible or impractical to make direct observations.