Using SVD for improved interferometric Green’s function recovery.
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paper8_melo_greenfnc_2010.pdf
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4.53 MB
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Author(s)
Melo, Gabriela
Malcolm, Alison E.
Mikessel, Dylan
van Wijk, Kasper
Date Issued
2010
Publisher
Massachusetts Institute of Technology. Earth Resources Laboratory
Series/Report no.
Earth Resources Laboratory Industry Consortia Annual Report;2010-08
Abstract
Seismic interferometry 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 locations. By crosscorrelating
the recorded seismic signals at the two locations we generate a
crosscorrelogram. Stacking the crosscorrelogram over sources
generates an estimate of the inter-receiver GF. However, in
most applications, the requirements to recover the exact GF
are not satisfied and stacking the crosscorrelograms yields a
poor estimate of the GF. For these non-ideal cases, we enhance
the real events in the virtual shot gathers by applying Singular
Value Decomposition (SVD) to the crosscorelograms before
stacking. The SVD approach preserves energy that is stationary
in the crosscorrelogram, thus enhancing energy from
sources in stationary positions, which interfere constructively,
and attenuating energy from non-stationary sources that interfere
distructively. We apply this method to virtual gathers containing
the virtual refraction artifact and find that using SVD
enhances physical arrivals. We also find that SVD is quite robust
in recovering physical arrivals from noisy data when these
arrivals are obscured by or even lost in the noise in the standard
seismic interferometry technique.
Subjects
Interferometry
Imaging
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