Optimal symplectic scheme and generalized discrete convolutional differentiator for seismic wave modeling
文献类型:期刊论文
作者 | Liu Shao-Lin1; Li Xiao-Fan1; Wang Wen-Shuai1,2; Lu Ming-Wen1; Zhang Mei-Gen1 |
刊名 | CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION
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出版日期 | 2013-07-01 |
卷号 | 56期号:7页码:2452-2462 |
关键词 | Symplectic scheme Generalized convolutional differentiator Numerical modeling Seismic wave |
ISSN号 | 0001-5733 |
DOI | 10.6038/cjg20130731 |
文献子类 | Article |
英文摘要 | In this paper, seismic wave equation is transformed into Hamiltonian system, and a new symplectic numerical scheme is developed, which is so called optimal symplectic algorithm and generalized discrete convolutional differentiator (OSGCD). For temporal discretization, OSGCD introduces Lie operators to construct second-order and two stage symplectic scheme and adopts optimal symplectic scheme based on minimum error principle. For the spatial derivative, OSGCD employs generalized discrete convolution differentiator to approximate the spatial differential operators and uses derivative approximation to obtain stable operator coefficients. We obtain the stability condition for 2D case. In numerical experiments, OSGCD is compared with different methods and it has advantages in both accuracy and efficiency. OSGCD also has the ability for modeling long-term seismic wave propagation and modeling seismic wave in heterogeneous media. |
WOS关键词 | RUNGE-KUTTA METHOD ; ELASTIC-WAVES ; PSEUDOSPECTRAL METHOD ; FINITE-DIFFERENCE ; EQUATION ; ACCURATE ; PROPAGATION ; SIMULATION ; MEDIA |
WOS研究方向 | Geochemistry & Geophysics |
语种 | 英语 |
WOS记录号 | WOS:000322687100031 |
出版者 | SCIENCE PRESS |
源URL | [http://ir.iggcas.ac.cn/handle/132A11/86847] ![]() |
专题 | 中国科学院地质与地球物理研究所 |
通讯作者 | Liu Shao-Lin |
作者单位 | 1.Chinese Acad Sci, Key Lab Earths Deep Interior, Beijing 100029, Peoples R China 2.Ningxia Univ, Sch Math & Comp Sci, Yinchuan 750021, Peoples R China |
推荐引用方式 GB/T 7714 | Liu Shao-Lin,Li Xiao-Fan,Wang Wen-Shuai,et al. Optimal symplectic scheme and generalized discrete convolutional differentiator for seismic wave modeling[J]. CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION,2013,56(7):2452-2462. |
APA | Liu Shao-Lin,Li Xiao-Fan,Wang Wen-Shuai,Lu Ming-Wen,&Zhang Mei-Gen.(2013).Optimal symplectic scheme and generalized discrete convolutional differentiator for seismic wave modeling.CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION,56(7),2452-2462. |
MLA | Liu Shao-Lin,et al."Optimal symplectic scheme and generalized discrete convolutional differentiator for seismic wave modeling".CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION 56.7(2013):2452-2462. |
入库方式: OAI收割
来源:地质与地球物理研究所
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