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Constant velocity migration in the various guises of plane-wave theory
Authors:M Tygel  P Hubral
Institution:(1) Geophysical Institute, Karlsruhe University, Hertzstr. 16, D-7500 Karlsruhe 21, Germany;(2) Dept. Appl. Math.-IMECC/UNICAMP, 13100 Campinas, Brazil;(3) Geophysical Institute, Karslruhe University, Hertzstr. 16, D-7500 Karlsruhe 21, Germany
Abstract:The various analytic schemes for performing a wavefield extrapolation or seismic migration from measurements upon a planar surface within a constant velocity medium are inherently related to each other. All schemes can be derived from a simple plane-wave representation of the recorded wavefield. One scheme that is very easy to conceive is based on the Radon transform. It enables one to perform a wavefield extrapolation or seismic migration by a filtered projection and a back projection of the recorded wavefield. This reveals that the theory of seismic migration as well as the theory of seismic tomography are very closely related to each other.
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