1887

Abstract

Summary

For a long time free surface related multiple reflection were removed before further processing was done. Based on the recently developed Marchenko type redatuming theory a theory was developed that is able to remove surface related and internal multiples during the redatuming step. This requires some model information that is avoided by separating the redatuming step from the multiple elimination step. The iterative solution of this method does not always converge. I propose to use a conjugate algorithm to solve the problem. I also show that the problem can be cast in a form with a self-adjoint operator that allows a faster solution. The second feature that reduces the computational cost is to use the filters that have been computed for a certain travel time as initial estimate for a following travel time. I show with a one-dimensional example that exploiting these two new aspects reduces the computational cost dramatically.

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/content/papers/10.3997/2214-4609.201900830
2019-06-03
2019-12-07
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References

  1. van den Berg, P.M.
    [1991] Iterative schemes based on minimization of a uniform error criterion. Progress in Electromagnetics Research-PIER, 5, 27–65.
    [Google Scholar]
  2. Dukalski, M. and de Vos, K.
    [2018] Marchenko inversion in a strong scattering regime including surface-related multiples. Geophysical Journal International, 212(2), 760–776.
    [Google Scholar]
  3. Foll, J.L.
    [1971] Aniterative procedure for the solution of linear and non-linear equations. Conference on Applications of Numerical Analysis. Lecture Notes in Mathematics, vol. 228Springer, Berlin.
    [Google Scholar]
  4. ten Kroode, F.
    [2002] Prediction of internal multiples. Wave Motion, 35(4), 315–338.
    [Google Scholar]
  5. Löer, K., Curtis, A. and Meles, G.A.
    [2016] Relating source-receiver interferometry to an inverse-scattering series to derive a new method to estimate internal multiples. Geophysics, 81(3), Q27–Q40.
    [Google Scholar]
  6. van der Neut, J. and Wapenaar, K.
    [2016] Adaptive overburden elimination with the multidimensional Marchenko equation. Geophysics, 81(5), T265–T284.
    [Google Scholar]
  7. Ravasi, M.
    [2017] Rayleigh-Marchenko redatuming for target-oriented, true-amplitude imaging. Geophysics, 82(6), S439–S452.
    [Google Scholar]
  8. Singh, S., Snieder, R., van der Neut, J., Thorbecke, J., Slob, E.C. and Wapenaar, K.
    [2017] Accounting for free-surface multiples in Marchenko imaging. Geophysics, 82(1), R19–R30.
    [Google Scholar]
  9. Verschuur, D.J., Berkhout, A.J. and Wapenaar, C.P.A.
    [1992] Adaptive surface-related multiple elimination. Geophysics, 57(9), 1166–1177.
    [Google Scholar]
  10. Wapenaar, K., Broggini, F., Slob, E. and Snieder, R.
    [2013] Three-Dimensional Single-Sided Marchenko Inverse Scattering, Data-Driven Focusing, Green's Function Retrieval, and their Mutual Relations. Physical Review Letters, 110(8), 084301.
    [Google Scholar]
  11. Wapenaar, K., Thorbecke, J. and Draganov, D.
    [2004] Relations between reflections and transmission responses of 3-D inhomogeneous media. Geophysical Journal International, 156, 179–194.
    [Google Scholar]
  12. Wapenaar, K., Thorbecke, J., van der Neut, J., Broggini, F., Slob, E. and Snieder, R.
    [2014] Marchenko Imaging. Geophysics, 79(3), WA39–WA57.
    [Google Scholar]
  13. Weglein, A.B., Gasparotto, F.A., Carvalho, P.M. and Stolt, R.H.
    [1997] An inverse scattering series method for attenuating multiples in seismic reflection data. Geophysics, 62, 1975–1989.
    [Google Scholar]
  14. Zhang, L. and Slob, E.
    [2019] Free-surface and internal multiple elimination in one step without adaptive subtraction. Geophysics, 84(1), A7–A11.
    [Google Scholar]
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