1887

Abstract

Summary

Due to the absorption and attenuation effects caused by the inelastic properties of the Earth, the seismic waves cause amplitude attenuation and phase distortion during propagation. Compared with the conventional reverse time migration, the least squares migration can improve the imaging resolution and obtain the amplitude-fidelity imaging result. In this study, based on an unified viscoacoustic wave equation expressed in forward and backward directions, the Green’s function of the forward and backward propagation of viscoacoustic media is realized. By analyzing the mathematical and physical characteristics of Hessian kernel function, the inverse of Hessian matrix is solved by using non-stationary matching filter, and the inverse of the estimated Hessian matrix is directly applied to the conventional imaging result, thus the least square inversion result of the image domain is obtained. This method greatly reduces the computational cost of least-squares offset and effectively improves the image resolution in inverse imaging.

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/content/papers/10.3997/2214-4609.201800978
2018-06-11
2024-03-28
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References

  1. Aoki, N., and G. T.Schuster
    , 2009, Fast least-squares migration with a deblurring filter: Geophysics, 74, WCA83–WCA93.
    [Google Scholar]
  2. Guitton, A.
    , 2004, Amplitude and kinematic corrections of migrated images for nonunitary imaging operators. Geophysics, 69(4), 1017–1024.
    [Google Scholar]
  3. GuittonA.
    , 2017, Fast 3D Least-Squares RTM by Preconditioning with Non-Stationary Matching Filters: SEG, Expanded Abstracts, 4395–4399.
    [Google Scholar]
  4. KjartanssonE.
    , 1979, Constant Q-wave propagation and attenuation. Journal of Geophysical Research, 4737–4748.
    [Google Scholar]
  5. RenH., WuR. S., and WangH.
    , 2011, Wave equation least square imaging using the local angular Hessian for amplitude correction. Geophysical Prospecting, 59(4): 651–661.
    [Google Scholar]
  6. RenH. R., WangX. J., JiangJ. S.
    , 2018, Staggered-grid RTM with uniform expression of attenuation and compensation for visco-acoustic media. CPS/SEG international conference, ID:279.
    [Google Scholar]
  7. Xie, Y., XinK., Sun, J. and C.Notfors
    , 2009, 3D prestack depth migration with compensation for frequency dependent absorption and dispersion: 79th Annual International Meeting, SEG, Expanded Abstracts, 2919–2922.
    [Google Scholar]
  8. ZhuT., HarrisJ.M., BiondiB.
    , 2014, Q-compensated reverse-time migration[J]. Geophysics, 79(3):S77–S87.
    [Google Scholar]
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