1887

Abstract

Summary

We extend the apex shifted hyperbolic Radon transform by scanning for both the apex and asymptote shifts of travel time hyperbolas in order to match both reflections and diffractions more closely. The new transform dictionary is built using Stolt migration/demigration operators to increase its computational efficiency. This new transform is used to interpolate a common shot gather from the 2D BP/SEG salt model using inversion with sparsity constraint. Our tests show that the new transform is an efficient tool for interpolating seismic data in the presence of diffractions.

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/content/papers/10.3997/2214-4609.201601238
2016-05-30
2024-03-29
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References

  1. Beck, A. and Teboulle, M.
    [2009] A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems. SIAM Journal on Imaging Sciences, 2(1), 183–202.
    [Google Scholar]
  2. Billette, F. and Brandsberg-Dahl, S.
    [2005] The 2004 BP velocity benchmark. 67th Annual International Conference and Exhibition, EAGE, Expanded Abstracts.
    [Google Scholar]
  3. Ibrahim, A.
    [2015] Separating Simultaneous Seismic Sources using Robust Inversion of Radon and Migration Operators. PhD Thesis, University of Alberta.
  4. Ibrahim, A. and Sacchi, M.D.
    [2014] Simultaneous source separation using a robust Radon transform. Geophysics, 79(1), V1–V11.
    [Google Scholar]
  5. [2015] Fast simultaneous seismic source separation using Stolt migration and demigration operators. Geophysics, 80(6), WD27–WD36.
    [Google Scholar]
  6. Ibrahim, A., Sacchi, M.D. and Terenghi, P.
    [2015] Wavefield reconstruction using a Stolt-based asymp-tote and apex shifted hyperbolic Radon transform. 85th Annual International Meeting, SEG, Expanded Abstracts, 3836–3841.
    [Google Scholar]
  7. Landa, E., Shtivelman, V. and Gelchinsky, B.
    [1987] A method for detection of diffracted waves on common-offset sections. Geophysical Prospecting, 35(4), 359–373.
    [Google Scholar]
  8. Sacchi, M. and Ulrych, T.
    [1995] High-resolution velocity gathers and offset space reconstruction. Geophysics, 60(4), 1169–1177.
    [Google Scholar]
  9. Stolt, R.H.
    [1978] Migration by Fourier transform.Geophysics, 43(1), 23–48.
    [Google Scholar]
  10. Terenghi, P.
    [2014] Homogeneous Green’s functions as a dictionary for wavefield reconstruction. 84th Annual International Meeting, SEG, Expanded Abstracts, 3627–3631.
    [Google Scholar]
  11. Trad, D.
    [2003] Interpolation and multiple attenuation with migration operators. Geophysics, 68(6), 2043–2054.
    [Google Scholar]
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