| Title | A hybrid scheme for seismic modelling based on Galerkin method |
| Authors | Liu, Tao Hu, Tianyue Sen, Mrinal K. Yang, Jinhua Wang, Runqiu Wei, Jianxin Wang, Shangxu |
| Affiliation | Peking Univ, Sch Earth & Space Sci, Beijing 100871, Peoples R China. Univ Texas Austin, Inst Geophys, Austin, TX 78758 USA. China Univ Petr, Coll Geophys & Informat Engn, Beijing 102249, Peoples R China. |
| Keywords | Numerical solutions Instability analysis Numerical approximations and analysis Computational seismology Wave propagation FINITE-DIFFERENCE METHOD ACOUSTIC-WAVE EQUATION SPECTRAL ELEMENT METHOD IRREGULAR GRIDS MOTION PROPAGATION SIMULATION MIGRATION ACCURACY 2D |
| Issue Date | 2011 |
| Publisher | geophysical journal international |
| Citation | GEOPHYSICAL JOURNAL INTERNATIONAL.2011,186,(3),1165-1178. |
| Abstract | Purely numerical methods for modelling seismic wave propagation are now fairly popular. In this paper, we report on the development of a hybrid finite element-finite difference method. Our method first employs semi-discretization of the finite element method in a part of the spatial domain (in the z-direction for 2-D situation) to obtain a wave equation in weak form, and then uses the finite difference method to solve it. This offers significant advantages in applying non-uniform grids with improved accuracy. To improve the computational efficiency, we introduce the spectral element method to replace the traditional finite element method, which leads to a diagonal mass matrix with sufficient accuracy. After that, we carry out detailed analyses of the dispersion behaviours for both uniform and non-uniform cases; the dispersion curves demonstrate high precision of our method in numerical modelling, especially in dealing with non-uniform grids. Some examples are presented to demonstrate performance of this method and confirm the analytic results. |
| URI | http://hdl.handle.net/20.500.11897/311204 |
| ISSN | 0956-540X |
| DOI | 10.1111/j.1365-246X.2011.05094.x |
| Indexed | SCI(E) EI |
| Appears in Collections: | 地球与空间科学学院 |
