A Legendre spectral element method with optimal mass matrix for seismic wave modeling
文献类型：期刊论文
| 作者 | Liu ShaoLin2,3,4; Yang DingHui4; Meng XueLi1,2; Wang WenShuai1; Xu XiWei2; Li XiaoFan5 |
| 刊名 | CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION
 |
| 出版日期 | 2022-12-01 |
| 卷号 | 65期号:12页码:4802-4815 |
| 关键词 | Numerical simulation Spectral element method Mass matrix Numerical accuracy |
| ISSN号 | 0001-5733 |
| DOI | 10.6038/cjg2022Q0145 |
| 英文摘要 | Numerical solving seismic wave equation of motion plays an important role in investigating wave phenomenon and imaging subsurface structure. The accuracy of a numerical method for forward modeling can eventually determinates the effectiveness of numerical result and the image quality. At present, the spectral element method (SEM) is successfully applied to seismic wave propagation in models with different scales. However, the accuracy of SEM is not fully explored because the integrations involved in the mass matrix of SEM are not accurately approximated by Gauss-Lobatto-Legendre (GLL) quadrature rule. The numerical errors originating from numerical quadrature rule reduce the accuracy of SEM. In this article, we propose a strategy to increase the accuracy of SEM by constructing an optimal mass matrix. The optimal mass matrix is developed in two steps. First, we design a least-square problem in terms of the GLL quadrature weights and the integrations on the diagonal of mass matrix. Second, we adopt the conjugate gradient method to solve the least-square problem and obtain the optimal quadrature weights. The optimal quadrature weights can reduce the errors associated with the mass matrix and eventually increase the accuracy of SEM. The validity of the SEM with optimized mass matrix is demonstrated by numerical dispersion analysis and numerical examples. |
| WOS关键词 | PERFECTLY MATCHED LAYER ; FINITE-ELEMENT ; NUMERICAL-SIMULATION ; SYMPLECTIC SCHEME ; PROPAGATION ; DIFFERENCE ; DISPERSION ; OPERATORS ; DYNAMICS |
| WOS研究方向 | Geochemistry & Geophysics |
| 语种 | 英语 |
| WOS记录号 | WOS:000893187400021 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.iggcas.ac.cn/handle/132A11/106980]  |
| 专题 | 地质与地球物理研究所_岩石圈演化国家重点实验室 |
| 通讯作者 | Wang WenShuai |
| 作者单位 | 1.Ningxia Univ, Sch Math & Stat, Yinchuan 750021, Ningxia, Peoples R China 2.Minist Emergency Management China, Natl Inst Nat Hazards, Beijing 100085, Peoples R China 3.Chinese Acad Sci, Inst Geol & Geophys, State Key Lab Lithospher Evolut, Beijing 100029, Peoples R China 4.Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China 5.China Univ Geosci, Inst Geophys & Geomat, Wuhan 430074, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu ShaoLin,Yang DingHui,Meng XueLi,et al. A Legendre spectral element method with optimal mass matrix for seismic wave modeling[J]. CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION,2022,65(12):4802-4815. |
| APA | Liu ShaoLin,Yang DingHui,Meng XueLi,Wang WenShuai,Xu XiWei,&Li XiaoFan.(2022).A Legendre spectral element method with optimal mass matrix for seismic wave modeling.CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION,65(12),4802-4815. |
| MLA | Liu ShaoLin,et al."A Legendre spectral element method with optimal mass matrix for seismic wave modeling".CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION 65.12(2022):4802-4815. |
入库方式： OAI收割
来源：地质与地球物理研究所
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