Least-squares reverse time migration (LSRTM) based on anisotropic propagator is a powerful tool for imaging the complicated geologic structure in the subsurface. But conventional demigration operator was applied in anisotropic LSRTM was built by using pseudo-acoustic wave equation, which may suffer from physical instability and undesirable noise. To overcome these defects, firstly, low-rank finite-difference method was employed to establish the linearized modeling operator for relieving wavefield instability and suppressing unwanted noise caused by qSV-wave artifacts, and then the forward modeling operator and its adjoint were used to implement LSRTM, in addition, plane-wave encoding strategy was introduced to the inversion framework of anisotropic media for decreasing the I/O and storage demands and improving the inversion efficiency. Numerical tests on synthetic dataset with a complex Marmousi model demonstrate wave-extrapolation operator based on low-rank finite-difference can produce stable wavefield, and good images can be generated by the proposed method.


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  1. Alkhalifah, T.
    , 1997, An anisotropic Marmousi model. Stanford Exploration Project, SEP-95: 265–282.
    [Google Scholar]
  2. , 2000, An acoustic wave equation for anisotropic media: Geophysics, 65(4), 1239–1250.
    [Google Scholar]
  3. Chu, C. L., MacyB. K., AnnoP. D.
    , 2013, Pure acoustic wave propagation in transversely isotropic media by the pseudospectral method: Geophysical Prospecting, 61(3), 556–567.
    [Google Scholar]
  4. Duveneck, E., Milcik, P., BakkerP. M., and Perkins, C.
    , 2008, Acoustic VTI wave equations and their application for anisotropic reverse-time migration: 78th Annual International Meeting, SEG, Technical Program Expanded Abstracts, 2186–2190, http://dx.doi.org/10.1190/1.3059320.
    [Google Scholar]
  5. Fletcher, R., X.Du, and P.Fowler
    , 2009, Reverse time migration in tilted transversely isotropic (TTI) media: Geophysics, 74(6), WCA179–WCA187, http://dx.doi.org/10.1190/1.3269902.
    [Google Scholar]
  6. FomelS, YingL, SongX
    , 2010, Seismic wave extrapolation using lowrank symbol approximation: 80th Annual International Meeting, SEG, Expanded Abstracts, 3092–3096.
    [Google Scholar]
  7. , 2013, Seismic wave extrapolation using lowrank symbol approximation: Geophysical Prospecting, 61(3): 526–536.
    [Google Scholar]
  8. Grechka, V., L.Zhang, and J.RectorIII
    , 2004, Shear waves in acoustic anisotropic media: Geophysics, 69(2), 576–582, http://dx.doi.org/10.1190/1.1707077.
    [Google Scholar]
  9. Plessix, R. E.
    , 2006, A review of the adjoint-state method for computing the gradient of a functional with geophysical applications: Geophysical Journal International, 167, no. 2, 495–503.
    [Google Scholar]
  10. SongX, AlkhalifahT
    , 2013, Modeling of pseudoacoustic P-waves in orthorhombic media with a low-rank approximation: Geophysics, 78(4), C33–C40, doi: 10.1190/geo2012‑0144.1.
    https://doi.org/10.1190/geo2012-0144.1 [Google Scholar]
  11. Yoon, K., S.Suh, J.Ji, J.Cai, and B.Wang
    , 2010, Stability and speedup issues in TTI RTM implementation: 80th Annual International Meeting, SEG, Expanded Abstracts, 3221–3225.
    [Google Scholar]
  12. Zhan, G., R. C.Pestana, and P. L.Stoffa
    , 2012, Decoupled equations for reverse time migration in tilted transversely isotropic media: Geophysics, 77(2), T37–T45.
    [Google Scholar]
  13. Zhang, Y., H.Zhang, and G.Zhang
    , 2011, A stable TTI reverse time migration and its implementation: Geophysics, 76(3), WA3–WA11, http://dx.doi.org/10.1190/1.3554411.
    [Google Scholar]
  14. Zhou, H., G.Zhang, and R.Bloor
    , 2006, An anisotropic acoustic wave equation for VTI media: 68th Annual International Conference & Exhibition, EAGE, Extended Abstracts, H033.
    [Google Scholar]

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