Water Bottom Multiple Attenuation by Kirchhoff Extrapolation

Spadavecchia, Emmanuel; Lipari, Vincenzo; Bienati, N.; Drufuca, G.; Cazzola, Luca

doi:10.3997/2214-4609.20149217

Cited by 2 publications

(5 citation statements)

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“…Surface‐related multiples are predicted via KWE in two extrapolation steps (Spadavecchia et al . ). KWE first downward propagates the recorded data from the acquisition surface to the reflector where the multiple to be predicted made the last upward bounce.…”

Section: Kirchhoff Wavefield Extrapolationmentioning

confidence: 97%

“…The errors in the velocity model, horizon picking and travetime computation can be expected to affect multiple prediction accuracy (more details can be found in Spadavecchia et al . ). Compared to the other sources of error the shifted hyperbola approximation has proved to be an acceptable approximation in many practical situations.…”

Section: Practical Issuesmentioning

confidence: 97%

“…In our implementation (Spadavecchia et al . ) the KWE operator

\overset{G}{true}

can be approximated by means of rays of minimal traveltime, allowing surface multiples prediction in a single datuming step:

m (x_{k}, ω) = \sum_{i} {\tilde{w}}_{i k} {normale}^{j ω {\tilde{τ}}_{i k}} d ({italicx}_{i}, ω),

…”

Section: Kirchhoff Wavefield Extrapolationmentioning

confidence: 99%

“…By doing this expansion the internal multiple prediction operator becomes the cascade of two extrapolation steps involving the fast KWE operator

\overset{G}{true}

described in equation , which is the same operator used for the prediction of surface multiples (Spadavecchia et al . ):

\hat{boldm} = {({boldG}_{02})}^{T} {boldG}_{02} {({boldG}_{01}^{T} {boldG}_{01})}^{- T} {boldp}_{bold2} = {\overset{G}{true}}_{02} {({\overset{G}{true}}_{01})}^{- T} {boldp}_{bold2} .

…”

Section: Compact Prediction Operatormentioning

confidence: 99%

“…Spadavecchia et al . () used a Kirchhoff wavefield extrapolation (KWE) operator for the prediction of surface multiples. The KWE operator predicts the multiples generated by an interpreted reflector by adding a round trip through the subsurface to the recorded data.…”

Section: Introductionmentioning

confidence: 99%

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Internal multiple attenuation by Kirchhoff extrapolation

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Surface‐related multiple elimination is the leading methodology for surface multiple removal. This data‐driven approach can be extended to interbed multiple prediction at the expense of a huge increase of the computational burden. This cost makes model‐driven methods still attractive, especially for the three dimensional case. In this paper we present a methodology that extends Kirchhoff wavefield extrapolation to interbed multiple prediction. In Kirchhoff wavefield extrapolation for surface multiple prediction a single round trip to an interpreted reflector is added to the recorded data. Here we show that interbed multiples generated between two interpreted reflectors can be predicted by applying the Kirchhoff wavefield extrapolation operator twice. In the first extrapolation step Kirchhoff wavefield extrapolation propagates the data backward in time to simulate a round trip to the shallower reflector. In the second extrapolation step Kirchhoff wavefield extrapolation propagates the data forward in time to simulate a round trip to the deeper reflector. In the Kirchhoff extrapolation kernel we use asymptotic Green's functions. The prediction of multiples via Kirchhoff wavefield extrapolation is possibly sped up by computing the required traveltimes via a shifted hyperbola approximation. The effectiveness of the method is demonstrated by results on both synthetic and field data sets.

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Section: Kirchhoff Wavefield Extrapolationmentioning

confidence: 97%

Section: Practical Issuesmentioning

confidence: 97%

“…In our implementation (Spadavecchia et al . ) the KWE operator