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 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.