We discuss the advantages of multidimensional (in data space) optimal transport (OT) full waveform inversion (FWI). We show that a careful formulation leads to an enhanced coherency of the event continuity in the move-out direction and to an improved velocity update compared to the conventional, least squares based, cost function and also compared to the monodimensional (in data space) OT FWI. This is illustrated on both marine and land field datasets.


Article metrics loading...

Loading full text...

Full text loading...


  1. Engquist, B. and Froese, B.D.
    [2014] Application of the Wasserstein metric to seismic signals. Communications in Mathematical Sciences12, 979–988.
    [Google Scholar]
  2. Métivier, L., Brossier, R., Mérigot, Q., Oudet, E. and Virieux, J.
    [2016a] Measuring the misfit between seismograms using an optimal transport distance: Application to full waveform inversion. Geophysical Journal International205, 345–377.
    [Google Scholar]
  3. [2016b] An optimal transport approach for seismic tomography: application to 3D FWI. Inverse Problems32, 115008.
    [Google Scholar]
  4. Métivier, L., Alain, A., Brossier, R., Mérigot, Q., Oudet, E. and Virieux, J.
    [2018] A graph-space approach to optimal transport for full waveform inversion. 87th SEG Expanded Abstracts, p. 1158.
    [Google Scholar]
  5. Poncet, R., Messud, J., Bader, M., Lambaré, G, Viguier, G and Hidalgo, C.
    [2018] FWI with optimal transport: a 3D implementaion and an application on a field dataset. 80th EAGE Conference and Exhibition, EAGE, Expanded Abstract.
    [Google Scholar]
  6. Qiu, L., Ramos-Martínez, J., Valenciano, A., Yang, Y. and Engquist, B.
    [2017] FWI with an exponentially-encoded optimal transport norm. 87th SEG Expanded Abstracts, p. 1286.
    [Google Scholar]
  7. Sedova, A., Messud, J., Prigent, H., Masclet, S., Royle, G and Lambaré, G
    [2018] Acoustic FWI: an efficient model-building tool for broadband land data. SEG/KOC workshop in Kuwait, Expanded Abstract.
    [Google Scholar]
  8. Yang, Y., Engquist, B., Sun, J. and Froese, B.D.
    [2018] Application of Optimal Transport and the Quadratic Wasserstein Metric to Full-Waveform Inversion. Geophysics83, R43–R62.
    [Google Scholar]

Data & Media loading...

This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error