3D tilted transverse isotropic (TTI) travel time solvers are necessary in order to properly describe seismic traveltime in sedimentary basins. For simulations in large, fully heterogeneous geological models with high velocity contrasts, the solver must be fast and accurate. We propose an efficient and accurate 3D TTI Eikonal solver based on the fast sweeping method. We combine the local operators of several existing methods leading us to a hybrid method. The new set of local operators allows us to handle the different types of waves (refracted, diffracted and transmitted). This method contrarily to other methods does not suffer from travel time errors related to a particular direction with respect to the grid or with increasing distances. The method is computationally efficient and scales linearly with respect to the number of grid points.


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