Multidimensional optimal transport for 3D FWI: demonstration on field data.

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