Iterative resolution estimation in least‐squares Kirchhoff migration |
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| Authors: | Sergey Fomel James G Berryman Robert G Clapp Marie Prucha |
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| Institution: | Lawrence Berkeley National Laboratory, 1 Cyclotron Road, Mail Stop 50A-1148, Berkeley, CA 94720;, University of California, Lawrence Livermore National Laboratory, PO Box 808 L-200, Livermore, CA 94551-9900;, and Stanford Exploration Project, Mitchell Bldg., Department of Geophysics, Stanford University, Stanford, CA 94305-2215, USA |
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| Abstract: | We apply iterative resolution estimation to least‐squares Kirchhoff migration. Reviewing the theory of iterative optimization uncovers the common origin of different optimization methods. This allows us to reformulate the pseudo‐inverse, model resolution and data resolution operators in terms of effective iterative estimates. When applied to Kirchhoff migration, plots of the diagonal of the model resolution matrix reveal low illumination areas on seismic images and provide information about image uncertainties. Synthetic and real data examples illustrate the proposed technique and confirm the theoretical expectations. |
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