Elastic full waveform inversion on unstructured meshes by the finite element method
文献类型：期刊论文
| 作者 | Zhang, Wensheng1,2
|
| 刊名 | PHYSICA SCRIPTA
 |
| 出版日期 | 2019-11-01 |
| 卷号 | 94期号:11页码:16 |
| 关键词 | unstructured triangular meshes elastic wave full waveform inversion finite element method iterative Tikhonov regularization irregular topography conjugate gradient method |
| ISSN号 | 0031-8949 |
| DOI | 10.1088/1402-4896/ab1ce5 |
| 英文摘要 | In this paper, we develop a new numerical method for elastic full waveform inversion (FWI) on unstructured triangular meshes. With the triangular meshes, the elastic wave system is solved by the finite element method in the frequency domain and so irregular topography and nonuniform data sampling in space are allowed. The inversion is an optimization iterative process to minimize the residual between the synthetic data and observed data. It is implemented iteratively based on the nonlinear conjugate gradient method from low frequency to high frequency successively. Furthermore, the inverse result at current frequency is used as the initial model for the next frequency inversion, which avoids local minima of objective function effectively. The inverted parameters in the method are approximated by a piecewise linear polynomial rather than point values like the finite difference method, which improves the inversion accuracy. To improve accuracy further in the noise case, the iterative Tikhonov regularization is incorporated into FWI effectively. Unlike the commonly used regularization methods in FWI on rectangular meshes, the developed iterative Tikhonov regularization can be computed efficiently on the unstructured triangular meshes. Numerical computations for models with irregular topography and complex structures are completed. The results show that our method can adapt complex topography effectively while it yields very high accurate inversion results even in the case of certain noise. |
| 资助项目 | National Natural Science Foundation[11471328] ; National Natural Science Foundation[51739007] |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000481861600001 |
| 出版者 | IOP PUBLISHING LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/33282]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Zhang, Wensheng |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, Wensheng. Elastic full waveform inversion on unstructured meshes by the finite element method[J]. PHYSICA SCRIPTA,2019,94(11):16. |
| APA | Zhang, Wensheng.(2019).Elastic full waveform inversion on unstructured meshes by the finite element method.PHYSICA SCRIPTA,94(11),16. |
| MLA | Zhang, Wensheng."Elastic full waveform inversion on unstructured meshes by the finite element method".PHYSICA SCRIPTA 94.11(2019):16. |
入库方式： OAI收割
来源：数学与系统科学研究院
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