1887
Volume 66, Issue 2
  • E-ISSN: 1365-2478

Abstract

ABSTRACT

Seismic imaging is an important step for imaging the subsurface structures of the Earth. One of the attractive domains for seismic imaging is explicit frequency–space () prestack depth migration. So far, this domain focused on migrating seismic data in acoustic media, but very little work assumed visco‐acoustic media. In reality, seismic exploration data amplitudes suffer from attenuation. To tackle the problem of attenuation, new operators are required, which compensates for it. We propose the weighted ‐error minimisation technique to design visco‐acoustic wavefield extrapolators. The ‐error wavenumber responses provide superior extrapolator designs as compared with the previously designed equiripple ‐norm and ‐norm extrapolation wavenumber responses. To verify the new compensating designs, prestack depth migration is performed on the challenging Marmousi model dataset. A reference migrated section is obtained using non‐compensating extrapolators on an acoustic dataset. Then, both compensating and non‐compensating extrapolators are applied to a visco‐acoustic dataset, and both migrated sections are then compared. The final images show that the proposed weighted ‐error method enhances the resolution and results in practically stable images.

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2017-04-28
2020-05-30
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References

  1. BhardwajD., YerneniS. and PhadkeS.1999. Parallel computing in seismic data pro‐cessing. 3rd International Petroleum Conference and Exhibition (PETROTECH‐99), pp. 279–285. Citeseer.
  2. BrougoisA., BourgetM., LaillyP., PouletM., RicarteP. and VersteegR.1990. Marmousi, model and data. In: EAEG Workshop—Practical Aspects of Seismic Data Inversion.
  3. CandèE.J. and WakinM.B.2008. An introduction to compressive sampling. IEEE Signal Processing Magazine25, 21–30.
    [Google Scholar]
  4. GrantM. and BoydS.2014. CVX: Matlab software for disciplined convex programming, version 2.1.
  5. GrossmannL.D. and EldarY.C.2007. An L 1‐method for the design of linear‐phase FIR digital filters. IEEE Transactions on Signal Processing55, 5253–5266.
    [Google Scholar]
  6. HaleD.1991. Stable explicit depth extrapolation of seismic wavefields. Geophysics56, 1770–1777.
    [Google Scholar]
  7. HolbergO.1988. Towards optimum one‐way wave propagation. Geophysical Prospecting36, 99–114.
    [Google Scholar]
  8. KaramL.J. and McClellanJ.H.1997. Efficient design of digital lters for 2‐D and 3‐D depth migration. IEEE Transactions on Signal Processing45, 1036–1044.
    [Google Scholar]
  9. MittetR.2007. A simple design procedure for depth extrapolation operators that compen‐sate for absorption and dispersion. Geophysics72, S105–S112.
    [Google Scholar]
  10. MittetR., SollieR. and HokstadK.1995. Prestack depth migration with compensation for absorption and dispersion. Geophysics60, 1485–1494.
    [Google Scholar]
  11. MousaW.2014. Imaging of the SEG/EAGE salt model seismic data using sparse f – x finite‐impulse‐response wavefield extrapolation filters. IEEE Transactions on Geoscience and Remote Sensing52, 2700–2714.
    [Google Scholar]
  12. MousaW.A., BaanM.V.D., BoussaktaS. and McLernonD.2009. Designing stable operators for explicit depth extrapolation of 2‐D and 3‐D wavefields using projections onto convex sets. Geophysics74, S33–S45.
    [Google Scholar]
  13. NaseerM.M. and MousaW.A.2015. Linear complementarity problem: a novel approach to design finite‐impulse response wavefield extrapolation filters. Geophysics80, 1–9.
    [Google Scholar]
  14. SoubarasR.1996. Explicit 3‐D migration using equiripple polynomial expansion and Laplace synthesis. Geophysics61, 1386–1393.
    [Google Scholar]
  15. ThorbeckeJ.1997. Common focus point technology . PhD thesis, Delft University of Technology, The Netherlands.
  16. ThorbeckeJ.W. and DraganovD.2011. Finite‐difference modeling experiments for seismic interferometry. Geophysics76, H1–H18.
    [Google Scholar]
  17. ThorbeckeJ.W., WapenaarK. and SwinnenG.2004. Design of one‐way wavefield extrapolation operators, using smooth functions in WLSQ optimization. Geophysics69, 1037–1045.
    [Google Scholar]
  18. YilmazO.2001. Seismic Data Analysis: Processing, Inversion, and Interpretation of Seismic Data, 2nd edn. Society of Exploration Geophysicists.
    [Google Scholar]
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  • Article Type: Research Article
Keyword(s): f – x Wavefield extrapolation , Seismic imaging and Visco‐acoustic media
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