Solving elastic wave equations in 2D transversely isotropic media by a weighted Runge-Kutta discontinuous Galerkin method  

作　　者：Xi-Jun He Jing-Shuang Li Xue-Yuan Huang Yan-Jie Zhou 

机构地区：[1]School of Mathematics and Statistics,Beijing Technology and Business University(BTBU),Beijing,100048,China [2]School of Science,China University of Mining and Technology(Beijing),Beijing,100083,China

出　　处：《Petroleum Science》2023年第2期827-839,共13页石油科学（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.41974114,41604105);the Fundamental Research Funds for the Central Universities(2020YQLX01);supported in part by the Project of Cultivation for Young Top-notch Talents of Beijing Municipal Institutions under Grant BPHR202203047;in part by the Young Elite Scientists Sponsorship Program by BAST.

摘　　要：Accurate wave propagation simulation in anisotropic media is important for forward modeling, migration and inversion. In this study, the weighted Runge-Kutta discontinuous Galerkin (RKDG) method is extended to solve the elastic wave equations in 2D transversely isotropic media. The spatial discretization is based on the numerical flux discontinuous Galerkin scheme. An explicit weighted two-step iterative Runge-Kutta method is used as time-stepping algorithm. The weighted RKDG method has good flexibility and applicability of dealing with undulating geometries and boundary conditions. To verify the correctness and effectiveness of this method, several numerical examples are presented for elastic wave propagations in vertical transversely isotropic and tilted transversely isotropic media. The results show that the weighted RKDG method is promising for solving wave propagation problems in complex anisotropic medium.

关 键 词：Discontinuous Galerkin method ANISOTROPY Transversely isotropic MODELING 

分 类 号：P631.4[天文地球—地质矿产勘探]