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Reports (Research Report) Year : 1993

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

Guy Chavent
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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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Other [cs.OH]
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Dates and versions

inria-00074746 , version 1 (24-05-2006)

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  • HAL Id : inria-00074746 , version 1

Cite

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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