1887
Volume 53, Issue 6
  • E-ISSN: 1365-2478

Abstract

ABSTRACT

Seismic wavefield reconstruction is posed as an inversion problem where, from inadequate and incomplete data, we attempt to recover the data we would have acquired with a denser distribution of sources and receivers. A minimum weighted norm interpolation method is proposed to interpolate prestack volumes before wave‐equation amplitude versus angle imaging.

Synthetic and real data were used to investigate the effectiveness of our wavefield reconstruction scheme when preconditioning seismic data for wave‐equation amplitude versus angle imaging.

Loading

Article metrics loading...

/content/journals/10.1111/j.1365-2478.2005.00503.x
2005-11-02
2024-04-18
Loading full text...

Full text loading...

References

  1. BiondiB. and PalacharlaG.1996. 3‐D prestack migration of common‐azimuth data. Geophysics61, 1822 – 1832.
    [Google Scholar]
  2. CaryP.1997. High‐resolution “beyond Nyquist” stacking of irregularly sampled and sparse 3‐D seismic data. CSEG Annual Meeting, Calgary, Canada, Expanded Abstracts, 66 – 70.
  3. ClaerboutJ.F.1985. Imaging the Earth's Interior . Blackwell Scientific Publications.
    [Google Scholar]
  4. ClaerboutJ.F.1991. Principles of beyond‐aliasing interpolation. 61st SEG meeting, Houston , USA , Expanded Abstracts, 1460 – 1464.
  5. DuijndamA.J.W., SchonewilleM.A. and HindriksC.O.H.1999. Reconstruction of seismic signals, irregularly sampled along on spatial coordinate. Geophysics64, 524 – 538.
    [Google Scholar]
  6. HankeM.1995. Conjugate gradient type methods for ill‐posed problems. In: Pitman Research Notes in Mathematics . Longman House .
    [Google Scholar]
  7. HansenP.C.1998. Rank‐deficient & Discrete Ill‐Posed Problems: Numerical Aspects of Linear Inversion . SIAM Monographs on Mathematical Modeling and Computation 4 .
    [Google Scholar]
  8. HestenesM. and StiefelE.1952. Methods of conjugate gradients for solving linear systems. Journal of Research of the National Bureau of Standards49, 403 – 436.
    [Google Scholar]
  9. HindriksC.O.H. and DuijndamA.J.W.2000. Reconstruction of 3‐D seismic signals irregularly sampled along two spatial coordinates. Geophysics65, 253 – 256.
    [Google Scholar]
  10. HugonnetP., HerrmannP. and RibeiroC.2001. High resolution Radon – a review. 63rd EAGE conference, Amsterdam, Netherlands , Extended Abstracts, IM‐2.
  11. KuehlH. and SacchiM.D.2003. Least‐squares wave‐equation migration for AVP/AVA inversion. Geophysics68, 262 – 273.
    [Google Scholar]
  12. LiuB. and SacchiM.D.2001. Minimum weighted norm interpolation of seismic data with adaptive weights. 71st SEG meeting, San Antonio, Texas , USA , Expanded Abstracts, 1921 – 1924.
  13. LiuB. and SacchiM.D.2003. Adaptive weighted minimum norm pre‐stack interpolation. 65th EAGE conference, Stavanger, Norway , Extended Abstracts, D22.
  14. MarpleS.L.1987. Digital Spectral Analysis with Applications . Prentice–Hall, Inc.
    [Google Scholar]
  15. MosherC.C., FosterD.J. and HassanzadehS.1997. Common angle imaging with offset plane waves. 67th SEG meeting, Dallas , USA , Expanded Abstracts, 1379 – 1382.
  16. PriestlyM.B.1981. Spectral Analysis and Time Series . Academic Press, Inc.
    [Google Scholar]
  17. PruchaM., BiondiB. and SymesW.1999. Angle domain common image gathers by wave‐equation migration. 69th SEG meeting, Houston , USA , Expanded Abstracts, 824 – 827.
  18. SacchiM.D., UlrychT.J. and WalkerC.1998. Interpolation and extrapolation using a high‐resolution discrete Fourier transform. IEEE Transactions on Signal Processing46, 31 – 38.
    [Google Scholar]
  19. SpitzS.1991. Seismic trace interpolation in the F‐X domain. Geophysics56, 785 – 794.
    [Google Scholar]
  20. WangJ., KuehlH. and SacchiM.D.2003. Least‐squares wave‐equation AVP imaging of 3‐D common azimuth data. 73rd SEG meeting, Dallas , USA , Expanded Abstracts, 1039 – 1042.
  21. ZwartjesP.M. and DuijndamA.J.W.2000. Optimizing reconstruction for sparse spatial sampling. 70th SEG meeting, Calgary , Canada , Expanded Abstracts, 2161 – 2165.
http://instance.metastore.ingenta.com/content/journals/10.1111/j.1365-2478.2005.00503.x
Loading
/content/journals/10.1111/j.1365-2478.2005.00503.x
Loading

Data & Media loading...

  • Article Type: Research Article

Most Cited This Month Most Cited RSS feed

This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error