An adaptive multiscale algorithm for efficient extended waveform inversion
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Subsurface-offset extended full-waveform inversion (FWI) may converge to kinematically accurate velocity models without the low-frequency data accuracy required for standard data-domain FWI. However, this robust alternative approach to waveform inversion suffers from a very high computational cost resulting from its use of nonlocal wave physics: The computation of strain from stress involves an integral over the subsurface offset axis, which must be performed at every space-time grid point. We found that a combination of data-fit driven offset limits, grid coarsening, and low-pass data filtering can reduce the cost of extended inversion by one to two orders of magnitude.
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Fu, Lei and Symes, William W.. "An adaptive multiscale algorithm for efficient extended waveform inversion." Geophysics, 82, no. 3 (2017) Society of Exploration Geophysicists: R183-R197. http://dx.doi.org/10.1190/geo2016-0426.1.