Simple and Accurate Operators Based on Taylor Expansion for 2D Elastic Seismogram Calculation under Geological Discontinuities with Regular Cartesian Grids

References

1. Cuvilliez, C., Fuji, N.
   , 2015. OptimallyAccurateFD1Dhttps://github.com/IPGP/OptimallyAccurateFD1D
   [Google Scholar]
2. Geller, R.J., Mizutani, H., Hirabayashi, N.
   , 2012. Existence of a second island of stability of predictor-corrector schemes for calculating synthetic seismograms. Geophys. J. Int., 188, 253–262.
   [Google Scholar]
3. Geller, R.J., Takeuchi, N.
   , 1998. Optimally accurate second-order time-domain finite difference scheme for the elastic equation of motion: one-dimensional cases. Geophys. J. Int., 123, 449–470.
   [Google Scholar]
4. Käser, M., Dumbser, M.,
   2006. An arbitrary high-order discontinuous Galerkin method for elastic waves on unstructured meshes – I. The two-dimensional isotropic case with external source terms. Geophys. J. Int., 166, 855–877.
   [Google Scholar]
5. Komatitsch, D., Vilotte, J.P.
   , 1998. The spectral-element method: an efficient tool to simulate the seismic response of 2D and 3D geological structures, Bull. Seism. Soc. Am., 88, 368–392.
   [Google Scholar]
6. Lombard, B., Piraux, J.
   , Numerical treatment of two-dimensional interfaces for acoustic and elas-tic waves. J. Comp. Phys., 195, 90–116.
   [Google Scholar]
7. Madariga, R.
   , 1976. Dynamics of an expanding circular fault, Bull. Seism. Soc. Am., 65, 163–182.
   [Google Scholar]
8. Moczo, P., Robertsson, J.O.A., Eisner, L.
   , The finite-difference time-domain method for modeling of seismic wave propagation. Advances in Geophysics, 48, 421–516.
   [Google Scholar]
9. Mizutani, H.
   2002. Accurate and efficient methods for calculating synthetic seismograms when elastic discontinuities do not coincide with the numerical grid. PhD thesis, Univ. Tokyo.
   [Google Scholar]
10. Schönberg, M., Muir, F.
    , A calculus for finely layered anisotropic media. Geophysics, 54, 581–589.
    [Google Scholar]
11. Virieux, J.
    , 1984. SH-wave propagation in heterogeneous media: velocity-stress finite-difference method., Geophysics, 49, 1933–1942.
    [Google Scholar]