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Iterative resolution estimation in least‐squares Kirchhoff migration
Author(s) -
Fomel Sergey,
Berryman James G.,
Clapp Robert G.,
Prucha Marie
Publication year - 2002
Publication title -
geophysical prospecting
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.735
H-Index - 79
eISSN - 1365-2478
pISSN - 0016-8025
DOI - 10.1046/j.1365-2478.2002.00341.x
Subject(s) - iterative method , least squares function approximation , diagonal , seismic migration , resolution (logic) , inverse problem , algorithm , matrix (chemical analysis) , image resolution , inverse , computer science , mathematical optimization , regional geology , geology , mathematics , metamorphic petrology , geophysics , hydrogeology , statistics , artificial intelligence , geometry , mathematical analysis , materials science , estimator , composite material , geotechnical engineering
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.