Multi-component Controlled-source Interferometry by Multi-dimensional Deconvolution Applied to a 1D Elastic Model

In various modern redatuming techniques one cross-correlates registrations at two receiver locations to obtain a Green’s function as if one of these receivers was a source and the other was a receiver. Although these methods have generally been derived by time-reversal arguments or Seismic Interferometry (SI), they can also be interpreted as attempts to solve a general integral equation, evaluated at various shot locations. We show how this integral equation can be solved by multi-dimensional deconvolution and apply the method to multi-component synthetic data generated by a 1D elastic model. We compare retrieved PP, SS and PS converted reflection responses by multi-dimensional deconvolution and cross-correlation-based interferometry in both the space-time and the FK-domain. We show that for one-sided illumination, multi-dimensional deconvolution results in significant improvements compared to cross-correlation, both in terms of kinematics and amplitude.