Elastic full waveform inversion on unstructured meshes by the finite element method

doi:10.1088/1402-4896/ab1ce5

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	Elastic full waveform inversion on unstructured meshes by the finite element method
	Zhang, Wensheng1,2
刊名	PHYSICA SCRIPTA
	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
出版者	IOP PUBLISHING LTD
WOS记录号	WOS:000481861600001
内容类型	期刊论文
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.