T-HySEA solves the 2D shallow water equations on hydrostatic and dispersive versions. T-HySEA is based on a high-order Finite Volume (FV) discretization (hydrostatic) with Finite Differences (FD) for the dispersive version on two-way structured nested meshes in spherical coordinates. Initial conditions from the Okada model or initial deformation, synchronous and asynchronous multi-Okada, rectangular and triangular faults.