1887
Volume 50 Number 6
  • E-ISSN: 1365-2478

Abstract

ABSTRACT

The delay‐time Radon transform parametrizes coherent events in a seismic gather by the far‐offset trace delay time, instead of the conventional parabolic curvature or ray parameter. The reformulation may give a different physical insight into the aliasing effect in the Radon transformation and may also lead to a different algorithm. The delay‐time parametrization enables modelling of a seismic gather as the sum of coherent events with any form of moveout curve. For example, a parabolic curve can be used for traces within a moderate offset range and a linear moveout for far‐offset traces. When using this delay‐time Radon transform, it is the number of traces, rather than the spatial sampling, of the input gather that directly controls aliasing in the Radon transform image. A preconditioning operator that implicitly increases the number of input traces by spatial reconstruction (without physically performing the spatial resampling) may minimize aliasing noise in the Radon transform image.

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2002-11-18
2024-04-26
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References

  1. BeutlerF.J.1966. Error‐free recovery of signals from irregularly spaced samples.SIAM Review8, 328 – 335.
    [Google Scholar]
  2. BeylkinG.1987. Discrete Radon transform.IEEE Transactions on Acoustics, Speech and Signal Processing35, 162 – 172.
    [Google Scholar]
  3. FosterJ. and MosherC.1992. Suppression of multiple reflections using the Radon transform.Geophysics57, 386 – 395.
    [Google Scholar]
  4. GreenhalghS.A., MasonI.M., LucasE., PantD. and EamesR.T.1990. Controlled direction reception filtering of P‐ and S‐waves in τp space.Geophysical Journal International100, 221 – 234.
    [Google Scholar]
  5. HampsonD.1986. Inverse velocity stacking and multiple elimination.Journal of the Canadian Society of Exploration Geophysicists22, 44 – 55.
    [Google Scholar]
  6. HargreavesN. and CooperN.2001. High‐resolution Radon demultiple. 71st SEG meeting, San Antonio, USA, Expanded Abstracts, 1325 – 1328.
  7. HerrmannP., MojeskyT., MagesanM. and HugonnetP.2000. De‐aliased high‐resolution Radon transforms. 70th SEG meeting, Calgary, Canada, Expanded Abstracts, 1953 – 1956.
  8. HugonnetP. and CanadasG.1995. Aliasing in the parabolic Radon transform. 65th SEG meeting, Houston, USA, Expanded Abstracts, 1366 – 1369.
  9. KabirM.M.N. and VerschuurD.J.1995. Restoration of missing offsets by parabolic Radon transform.Geophysical Prospecting43, 347 – 368.
    [Google Scholar]
  10. KappusM.E., HardingA.J. and OrcuttJ.A.1990. A comparison of τp transform methods.Geophysics55, 1202 – 1215.
    [Google Scholar]
  11. LandaE., BelferI. and KeydarS.1999. Multiple attenuation in the parabolic τp domain using wavefront characteristics of multiple generating primaries.Geophysics64, 1806 – 1815.
    [Google Scholar]
  12. MarfurtK.J., SchneiderR.V. and MuellerM.C.1996. Pitfalls of using conventional and discrete Radon transforms on poorly sampled data.Geophysics61, 1467 – 1482.
    [Google Scholar]
  13. MarsJ. and RectorJ.W.1995. Discussion on “Linear and parabolic τp transforms revisited, by ”.Zhou and Greenhalgh (1994)Geophysics60, 611 – 613.
    [Google Scholar]
  14. SacchiM.D. and UlrychT.J.1995. High‐resolution velocity gathers and offset space reconstruction.Geophysics60, 1169 – 1177.
    [Google Scholar]
  15. SchonewilleM.A. and DuijndamA.J.W.2001. Parabolic Radon transform, sampling and efficiency.Geophysics66, 667 – 678.
    [Google Scholar]
  16. TarantolaA.1987. Inverse Problem Theory: Methods for Data Fitting and Model Parameter Estimation. Elsevier Science Publishing Co.
    [Google Scholar]
  17. TurnerG.1990. Aliasing in the τp transform and the removal of spatial aliased coherent noise.Geophysics55, 1496 – 1503.
    [Google Scholar]
  18. WangY. and HousemanG.A.1997. Point‐source τp transform: a review and comparison of computational methods.Geophysics62, 325 – 334.
    [Google Scholar]
  19. ZhouB. and GreenhalghS.A.1994. Linear and parabolic τp transforms revisited.Geophysics59, 1133 – 1149.
    [Google Scholar]
  20. ZhouB. and GreenhalghS.A.1996. Multiple suppression by 2D filtering in the parabolic τp domain: a wave‐equation‐based method.Geophysical Prospecting44, 375 – 401.
    [Google Scholar]
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