Wave equation inversion with redundance data by the wave field continuation method

The inverse problem of wave scattering for a system of data collected at the observation surface with multiple coverage of sources and receivers is considered. It is shown that this redundant data system is equivalent to the configuration studied previously, in which the receiver point coincides with the source point: in both cases the wave field continuation back in time reduces the scattering problem considered in a linearized approximation to the Cauchy problem (the one with instantaneously actuated secondary field sources represented by the sought-for in-homogeneities) in the reference medium with a "half value of wave velocity.