A proposal for model-independent 3D wave field reconstruction from reflection data

With seismic interferometry one can retrieve the response to a virtual source inside an unknown medium, assuming there is a receiver at the position of the virtual source. In a companion paper, Broggini et al. show that for the 1D situation the requirement of having an actual receiver inside the medium can be circumvented. They show that the virtual source response can be obtained from reflection data only. This paper is a first step towards the generalization of their method to the 3D situation. We show how the full response to a virtual source inside the medium can be obtained from the reflection response at the surface. We also indicate how this method can be used to handle internal multiple scattering in migration.