Model-Independent Joint Migration Inversion - An Operator Approach to the Seismic Inverse Problem

Abstract

We formulate the seismic inverse problem in an operator-based model-independent approach where the model parameters, such as velocity and density in the acoustic situation, are not required. The output of the inversion, however, are reflection and augmented transmission operators. The augmented transmission operator is a combination of both generalized wavenumber and transmission operators. The theory employs directional reciprocity theorem and a numerical example illustrates those operators that are sought by our method.