Using SVD for improved interferometric Green's function retrieval
Author(s)
Melo, Gabriela; Malcolm, Alison E.; Mikesell, Dylan; van Wijk, Kasper
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Other Contributors
Massachusetts Institute of Technology. Earth Resources Laboratory
Metadata
Show full item recordAbstract
Seismic interferometry (SI) is a technique used to estimate the Green’s function (GF) between two receiver locations, as if there were a source at one of the receiver locations. However, in many applications, the requirements to recover the exact GF are not satisfied and SI yields a poor estimate of the GF. For these non-ideal cases, we improve the interferometric GFs, by applying Singular Value Decomposition (SVD) to the crosscorrelations before stacking. The SVD approach preserves energy that is stationary in the crosscorrelations, which is the energy that contributes most to the GF recovery, and attenuates non-stationary energy, which leads to artifacts in the interferometric GF. We apply this method to construct virtual shot gathers (for both synthetic and field data) and demonstrate how using SVD enhances physical arrivals in these gathers. We also find that SVD is robust with respect to weakly correlated random noise, allowing a better recovery of events from noisy data, in some cases recovering energy that would otherwise be completely lost in the noise and that the standard seismic interferometry technique fails to recover.
Date issued
2013Publisher
Massachusetts Institute of Technology. Earth Resources Laboratory
Series/Report no.
Earth Resources Laboratory Industry Consortia Annual Report;2013-32
Keywords
Interferometry