Nearfield inverse scattering formalism for the three-dimensional wave equation: The inclusion of a p r i o r i velocity information

We address the problem of identifying a local velocity, c(r), in a three-dimensional scalar wave equation from nearfield data. The implicit model assumptions of previous nearfield inverse scattering procedures are examined. These assumptions cannot be reasonably assumed in certain applications. Therefore, a method for extending the range of validity of nearfield inverse scattering procedures is presented. In addition, we present a technique for incorporating a priori information or estimates into this formal wave equation inversion procedure. An approximate perturbative solution for this formalism has the ability to accommodate selective and potentially troublesome multiples within the Born model.