A time domain derivation of the Kirchhoff migration as the gradient of a data misfit function

Guy Chavent 1
Abstract : We explicit a forward time domain WKBJ approximation of the wave equation such that the gradient of the associated data misfit function yields the classical Kirchhoff migration formula, up to a positive migration weight. As a by product of this elementary derivation, we find the optimal prefiltering of the data, and a set of optimal migration weights such that the corresponding Kirchhoff migrated sections are as close as possible to inverted sections. We propose a cooperative iterated Kirchhoff migration algorithm which illustrate the possibilities opened by this gradient approach to Kirchhoff migration.
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Rapport
[Research Report] RR-1928, INRIA. 1993
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https://hal.inria.fr/inria-00074746
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Soumis le : mercredi 24 mai 2006 - 16:13:18
Dernière modification le : vendredi 25 mai 2018 - 12:02:05
Document(s) archivé(s) le : mardi 12 avril 2011 - 18:53:59

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Guy Chavent. A time domain derivation of the Kirchhoff migration as the gradient of a data misfit function. [Research Report] RR-1928, INRIA. 1993. 〈inria-00074746〉

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