1996
DOI: 10.1190/1.1443940
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Removal of surface‐related wave phenomena—The marine case

Abstract: Removal of the effects of the free surface from seismic reflection data is an essential preprocessing step before prestack migration. The problem can be formulated by means of Rayleigh’s reciprocity theorem which leads to an integral equation of the second kind for the desired pressure field that does not include these free‐surface effects. This integral equation can be solved numerically, both in the spatial domain and in the double Radon domain. Solving the integral equation in the double Radon domain has th… Show more

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Cited by 41 publications
(12 citation statements)
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“…When only sources at the surface z = 0 are used, these cross-terms lead to spurious contributions that have the same strength as peg-leg multiples. These spurious multiples are not removed by algorithms for the suppression of surface-related multiples ͑Verschuur et al, 1992; van Borselen et al, 1996;Dragoset and Jeričević, 1998͒ because kinematically they do not correspond to peg-leg multiples.…”
Section: Resultsmentioning
confidence: 99%
“…When only sources at the surface z = 0 are used, these cross-terms lead to spurious contributions that have the same strength as peg-leg multiples. These spurious multiples are not removed by algorithms for the suppression of surface-related multiples ͑Verschuur et al, 1992; van Borselen et al, 1996;Dragoset and Jeričević, 1998͒ because kinematically they do not correspond to peg-leg multiples.…”
Section: Resultsmentioning
confidence: 99%
“…This means in seismic applications that multiples reflected from the free surface are eliminated (Wapenaar et al 2000;Amundsen 2001), while for electromagnetic waves the contaminating of the air wave is removed (Wapenaar et al 2008). The change in the surface boundary condition also forms the basis of other methods for the suppression of surface-related multiples in seismology (Riley and Claerbout 1976;Kennett 1979;Verschuur et al 1992;van Borselen et al 1996;Weglein et al 1998). We illustrate the freedom to change the boundary conditions in seismic interferometry with the response of the Millikan library at Caltech extracted from recorded vibrations of the building after an earthquake (Snieder and Ş afak 2006).…”
Section: Changing the Boundary Conditionmentioning
confidence: 92%
“…In practice, however, the source signature is unknown. Several strategies based on the suppression of multiples have been presented to estimate the operator A( f ) Carvalho & Weglein, 1994;van Borselen et al, 1996;Ikelle et al, 1997). In these studies, the estimation of the operator A( f ) is non-linear, which is an undesirable characteristic in the inversion process (Verschuur, 2006).…”
Section: Surface-related Multiple Elimination (Srme)mentioning
confidence: 99%