Full Waveform inversion (FWI) using the scattering integral (SI) approach is an explicit formulation of the inversion optimization problem. The inversion equations are straightforward and the dependence on the data residuals and model parameters is clear. However, the biggest limitation with this approach is the huge computational cost for exploration seismology applications. To deal with this issue, we propose a hybrid implementation of the frequency domain FWI using the Born sensitivity kernels. Specifically, we use the sensitivity kernels computed from dynamic ray-tracing to build the gradient. We compute also the truncated Gauss-Newton update direction using the kernels without extra wavefield modeling steps. Considering that in FWI long-to-intermediate wavelengths are updated during the first iterations, using a transmission experiment

we obtain accurate inverted models. The inversion managed to develop the anomaly embedded in the homogeneous background medium. The truncated Gauss-Newton updates helped in the fast convergence. With this approach we managed to reduce the computational cost and the memory requirements. For more complex models, the hybrid inversion method help improving the initial model with little cost compared to conventional SI inversion.


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  1. Alkhalifah, T.
    [2015] Research Note: Insights into the data dependency on anisotropy: an inversion prospective. Geophysical Prospecting, published online.
    [Google Scholar]
  2. Červenỳ, V.
    [2005] Seismic Ray Theory. Cambridge University Press.
    [Google Scholar]
  3. Chen, P., Jordan, T.H. and Zhao, L.
    [2007] Full three-dimensional tomography: a comparison between the scattering-integral and adjoint-wavefield methods. Geophysical Journal International, 170(1), 175–181.
    [Google Scholar]
  4. Djebbi, R., Plessix, R. and Alkhalifah, T.
    [2015] Analysis of the travel-time sensitivity kernels for an acoustic transversely isotropic medium with a vertical axis of symmetry. Geophysical Prospecting, accepted, doi: 10.1111/1365‑2478.12361.
    https://doi.org/10.1111/1365-2478 [Google Scholar]
  5. Lailly, P.
    [1983] The seismic inverse problem as a sequence of before stack migrations. In: Conference on inverse scattering: theory and application. Society for Industrial and Applied Mathematics, Philadelphia, PA, 206–220.
    [Google Scholar]
  6. Liu, Y., Yang, J., Chi, B. and Dong, L.
    [2015] An improved scattering-integral approach for frequency-domain full waveform inversion. Geophysical Journal International, 202(3), 1827–1842.
    [Google Scholar]
  7. Métivier, L., Bretaudeau, F., Brossier, R., Operto, S. and Virieux, J.
    [2014] Full waveform inversion and the truncated Newton method: quantitative imaging of complex subsurface structures. Geophysical Prospecting, 62(6), 1353–1375.
    [Google Scholar]
  8. Tarantola, A.
    [1984] Inversion of seismic reflection data in the acoustic approximation. Geophysics, 49(8), 1259–1266.
    [Google Scholar]
  9. Virieux, J. and Operto, S.
    [2009] An overview of full-waveform inversion in exploration geophysics. Geophysics, 74(6), WCC1–WCC26.
    [Google Scholar]

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