1887
Volume 59, Issue 2
  • E-ISSN: 1365-2478

Abstract

ABSTRACT

True amplitude migration is one of the most important procedures of seismic data processing. As a rule it is based on the decomposition of the velocity model of the medium into a known macrovelocity component and its sharp local perturbations to be determined. Under this decomposition the wavefield can be considered as the superposition of an incident and reflected/scattered waves. The single scattering approximation introduces the linear integral operator that connects the sharp local perturbations of the macrovelocity model with the multishot/multioffset data formed from reflected/scattered waves. We develop the pseudoinverse of this operator using the Gaussian beam based decomposition of acoustic Green's functions. The computation of this pseudoinverse operator is done pointwise by shooting Gaussian beams from the target area towards the acquisition system.

The numerical implementation of the pseudoinverse operator was applied to the synthetic data Sigsbee2A. The results obtained demonstrate the high quality of the true amplitude images computed both in the smooth part of the model and under the salt body.

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2010-09-14
2024-03-28
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References

  1. AlbertinU., TcheverdaV., YingstD. and KitchensideP.2004. True‐amplitude beam migration. 74th SEG meeting, Denver , Colorado , USA , Expanded Abstracts, 949.
  2. BabichV.M. and BuldyrevV.S.1991. Asymptotic Methods of Short Wave Diffractions. Springer‐Verlag.
    [Google Scholar]
  3. BeylkinG.1985. Imaging of discontinuous in the inverse scattering problem by inversion of causual generalized Radon transform. Journal of Mathematical Physics26, 99–108.
    [Google Scholar]
  4. BleisteinN.1987. On the imaging of reflectors in the Earth. Geophysics52, 931–942.
    [Google Scholar]
  5. BleisteinN., YuZ., XuS., ZhangG. and GrayS.H.2005. Migration/inversion: think image point coordinates, process in acquisition surface coordinates. Inverse Problems21, 1715–1744.
    [Google Scholar]
  6. ČervenýV.2001. Seismic Ray Theory.Cambridge University Press.
    [Google Scholar]
  7. ČervenýV., PopovM.M. and PšenčikI.1982. Computation of wave fields in inhomogeneous media. Gaussian beam approach. Geophysical Journal of the Royal Astronomical Society70, 109–128.
    [Google Scholar]
  8. CheverdaV.A., GoldinS.V., KostinV.I. and NeklyudovD.A.2003. Separation of scattering and diffraction from regular reflection in seismic data. Russian Geology and Geophysics8, 784–792.
    [Google Scholar]
  9. ClementF., KhaidukovV., KostinV. and TcheverdaV.1998. Linearized inversion of multi‐offset data for vertically‐inhomogeneous background. Journal of Inverse and Ill-posed Problems6, 455–477.
    [Google Scholar]
  10. GrayS.2005. Gaussian beam migration of common‐shot records. Geophysics70, S71–S77.
    [Google Scholar]
  11. GrayS. and BleisteinN.2009. True amplitude Gaussian beam migration. Geophysics74, S11–S23.
    [Google Scholar]
  12. HillN.R.1990. Gaussian beam migration. Geophysics55, 1416–1428.
    [Google Scholar]
  13. HillN.R.2001. Prestack Gaussian‐beam migration. Geophysics66, 1240–1250.
    [Google Scholar]
  14. KorenZ., RavveI., RagozaE., BartanaA. and KosloffD.2008. Full‐azimuth angle domain imaging 78th SEG meeting, Las Vegas , Texas , USA , Expanded Abstracts.
  15. KostinV.I., KhaidukovV.G. and TcheverdaV.A.1997. The r‐solution and its application in linearized waveform inversion for a layered back‐ground. In: IMA Volume ‘Inverse Problems of Wave Propagation’ (eds G.Chavent and W.Symes), pp. 277–294. Springer.
    [Google Scholar]
  16. LaillyP.1983. The seismic inverse problem as a sequence of before stack migrations. In: Conference on Inverse Scattering: Theory and Application (eds J.B.Bednar , R.Redner, E.Robinson and A.Weglein). SIAM.
    [Google Scholar]
  17. MillerD., OristaglioM.L. and BeylkinG.1987. A new slant on seismic imaging: Classical migration and integral geometry. Geophysics52, 943–964.
    [Google Scholar]
  18. NattererF.2004. An error bound for the Born approximation. Inverse problems20, 447–452.
    [Google Scholar]
  19. NemethT., ChengjunW. and SchusterG.T.1999. Least‐squares migration of incomplete reflection data. Geophysics64, 208–221.
    [Google Scholar]
  20. NovackR.L., SenM.K. and StoffaP.L.2003. Gaussian beam migration for sparse common‐shot and common‐receiver data. 73rd SEG meeting, Dallas , Texas , USA , Extended Abstracts.
  21. PopovM.M.2002. Ray Theory and Gaussian Beam for Geophysicists. EDUFBA.
    [Google Scholar]
  22. PopovM.M., SemtchenokN.M., PopovP.M. and VerdelA.R.2010. Depth migration by the Gaussian beam summation method. Geophysics75, S81–S93.
    [Google Scholar]
  23. ProtasovM.I. and TcheverdaV.A.2005. True amplitude Gaussian beam imaging. 67th EAGE meeting, Madrid, Spain, Expanded Abstracts, P008.
  24. ProtasovM.I. and TcheverdaV.A.2006. True/preserving amplitude seismic imaging based on Gaussian beams application. 76th SEG meeting, New Orleans, Louisiana, USA, Expanded Abstracts.
  25. ShubinM.A.2001. Pseudo‐differential Operators and Spectral Theory . Springer‐Verlag.
    [Google Scholar]
  26. VainbergB.R.1966. Principles of radiation, limit absorption and limit amplitude in th egeneral theory of partial differential equations. Russian Mathematical Surveys21, 115–293.
    [Google Scholar]
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