Interferometry in dissipative media: Addressing the shallow sea problem for Seabed Logging appli- cations

We derive interferometric field representations that are valid for diffusive field methods. The method retrieves the reflection response of the earth, as if the domain above the receiver depth level is homogeneous. It is represented as the flux-normalized up going field deconvolved by the down going field. The deconvolution step can be seen as a weighted crosscorrelation step, which is the usual operation in interferometric methods. Because the method effectively redatums the source depth level to the receiver depth level and removes the overburden effects, the shallow sea problem that exists for frequency domain Seabed Logging applications is solved in theory.