The failure mode of correlation focusing for model velocity estimation
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corr-focus.pdf
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1.41 MB
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Author(s) • •
Calandra, Henri
Demanet, Laurent
Baek, Hyoung Su
Date Issued
2013
Journal
SEG Technical Program Expanded Abstracts 2013
Publisher
Society of Exploration Geophysicists
Citation
Baek, Hyoungsu, Laurent Demanet, and Henri Calandra. “The Failure Mode of Correlation Focusing for Model Velocity Estimation.” SEG Technical Program Expanded Abstracts 2013 (August 19, 2013).
Version
Author's final manuscript
Abstract
We analyze the correlation focusing objective functional introduced by van Leeuwen and Mulder to avoid the cycle-skipping problem in full waveform inversion. While some encouraging numerical experiments were reported in the transmission setting, we explain why the method cannot be expected to work for general reflection data. We characterize the form that the adjoint source needs to take for model velocity updates to generate a time delay or a time advance. We show that the adjoint source of correlation focusing takes this desired form in the case of a single primary reflection, but not otherwise. Ultimately, failure owes to the specific form of the normalization present in the correlation focusing objective.
MIT Department
Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1190/SEGAM2013-1203.1