Seismic forward modeling is the basis of reverse time migration and full waveform inversion. However, modeling based on conventional coupled pseudo-acoustic wave equations not only exist SV-wave artifacts, also suffer from instability when epsilon is less than delta. In this paper, we start with the accurate phase velocity formula and develop a precise pure qP-wave governing equation by using the best approximation in quadratic norm. Several numerical examples demonstrate that the kinematics of the new wave equation is very close to coupled pseudo-acoustic wave equation and completely free from SV-wave artifacts. In addition, the wavefield generated by new wave equation is not only stable when epsilon is less than delta but also can be well adapted to complex VTI media.


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  1. Alkhalifah, T.
    [1998] Acoustic approximations for processing in transversely isotropic media. Geophysics, 63(2), 623–631.
    [Google Scholar]
  2. [2000] An acoustic wave equation for anisotropic media. Geophysics, 65(4), 1239–1250.
    [Google Scholar]
  3. Duveneck, E., P.Milcik., P. M.Bakker. and C.Perkins
    . [2008] Acoustic VTI wave equations and their application for anisotropic reverse-time migration. 78th SEG Annual International Meeting, Expanded Abstracts, 2186–2190.
    [Google Scholar]
  4. Song, G., Huang, R, Tian, J., Chen, Y., Chen, P., Yang, Y
    . [2016] A new QP-wave equation for 2D VTI media. 86th SEG Annual International Meeting, Expanded Abstracts, 3977–3981.
    [Google Scholar]
  5. Thomsen, L.
    [1986] Weak elastic anisotropy. Geophysics, 51(10), 1954–1966.
    [Google Scholar]
  6. Tsvankin, I.
    [1996] P-wave signatures and notation for transversely isotropic media. Geophysics, 61(2), 467–483.
    [Google Scholar]
  7. Zhou, H, G.Zhang and R.Bloor
    . [2006a] An anisotropic acoustic wave equation for VTI media. 68th EAGE Annual International Conference and Exhibition, Extended Abstracts, H033.
    [Google Scholar]

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