Full waveform inversion (FWI) requires a hierarchical approach based on the availability of low frequencies to maneuver the complex nonlinearity associated with the problem of velocity inversion. I develop a model gradient filter to help us access the parts of the gradient more suitable to combat this potential nonlinearity. The filter is based on representing the gradient in the time-lag normalized domain, in which low scattering angles of the gradient update are initially muted. The result are long-wavelength updates controlled by the ray component of the wavefield. In this case, even 10 Hz data can produce near zero wavelength updates suitable for a background correction of the model. Allowing smaller scattering angle to contribute provides higher resolution information to the model.


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  1. Beydoun, W.B. and Mendes, M.
    [1989] Elastic ray-born 12-migration/inversion. Geophysical Journal International, 97(1), 151–160, ISSN 1365-246X, doi:10.1111/j.l365‑246X.1989.tb00490.x.
    https://doi.org/10.1111/j.l365-246X.1989.tb00490.x [Google Scholar]
  2. Khalil, A., Sun, J., Zhang, Y. and Poole, G.
    [2013] Rtm noise attenuation and image enhancement using time-shift gathers. SEG Technical Program Expanded Abstracts 2013, 733, 3789–3793.
    [Google Scholar]
  3. Mora, P.
    [1989] Inversion = migration + tomography. GEOPHYSICS, 54(12), 1575–1586.
    [Google Scholar]
  4. Sirgue, L. and Pratt, R.
    [2004] Efficient waveform inversion and imaging: A strategy for selecting temporal frequencies. GEOPHYSICS, 69(1), 231–248, doi:10.1190/l.1649391.
    https://doi.org/10.1190/l.1649391 [Google Scholar]
  5. Tang, Y., Lee, S., Baumstein, A. and Hinkley, D.
    [2013] Tomographically enhanced full wavefield inversion. SEG Technical Program Expanded Abstracts 2013, 201, 1037–1041.
    [Google Scholar]
  6. Woodward, M.J.
    [1992] Wave-equation tomography. Geophysics, 57(1), 15–26.
    [Google Scholar]
  7. Xu, S., Wang, D., Chen, F., Lambare, G. and Zhang, Y.
    [2012] Inversion on reflected seismic wave. SEG Technical Program Expanded Abstracts 2012, 509, 1–7.
    [Google Scholar]

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