Land seismic multi-parameter full waveform inversion in anisotropic media is challenging because of high medium contrasts and because of surface waves. With a data-residual least-squares misfit function, the surface wave energy usually masks the body waves and the gradient of the misfit function exhibits high values in the very shallow depths preventing from recovering the deeper part of the earth model parameters. An optimal transport objective function, coupled with a Gaussian time-windowing strategy, allows to overcome this issue by more focusing on phase shifts and by balancing the contributions of the different events in the adjoint-source and the gradients. First, we show how OT function balances events. We then discuss a vertical transverse isotropic (VTI) example starting from a quasi 1D isotropic initial model. Despite some cycle-skipping issues in the initial model, the inversion based on the windowed optimal transport approach converges. Both the near-surface complexities and the variations at depth are satisfactorily recovered.


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  1. Brossier, R., Operto, S. and Virieux, J.
    [2009] Seismic imaging of complex onshore structures by 2D elastic frequency-domain full-waveform inversion. Geophysics, 74(6), WCC105–WCC118.
    [Google Scholar]
  2. He, W., Plessix, R.É. and Singh, S.
    [2018] Parameterization study of the land multi-parameter VTI elastic waveform inversion. Geophysical Journal International, 213(3), 1662–1674.
    [Google Scholar]
  3. Métivier, L., Allain, A., Brossier, R., Mérigot, Q., Oudet, E. and Virieux, J.
    [2018] Optimal transport for mitigating cycle skipping in full waveform inversion: a graph space transform approach. Geophysics, 83(5), R515–R540.
    [Google Scholar]
  4. Métivier, L., Brossier, R., Mérigot, Q., Oudet, E. and Virieux, J.
    [2016] Measuring the misfit between seismograms using an optimal transport distance: Application to full waveform inversion. Geophysical Journal International, 205, 345–377.
    [Google Scholar]
  5. Plessix, R.E. and Pérez Solano, C.
    [2015] Modified surface boundary conditions for elastic waveform inversion of low-frequency wide-angle active land seismic data. Geophysical Journal International, 201, 1324–1334.
    [Google Scholar]
  6. Poncet, R., Messud, J., Bader, M., Lambaré, G., Viguier, G. and Hidalgo, C.
    [2018] FWI with Optimal Transport: a 3D Implementation and an Application on a Field Dataset. In: Expanded Abstracts, 80th Annual EAGE Meeting(Copenhagen).
    [Google Scholar]
  7. Yang, Y., Engquist, B., Sun, J. and Hamfeldt, B.F.
    [2018] Application of optimal transport and the quadratic Wasserstein metric to full-waveform inversion. GEOPHYSICS, 83(1), R43–R62.
    [Google Scholar]

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