CSpace  > 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
Source PublicationPHYSICA SCRIPTA
AbstractIn 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.
Keywordunstructured triangular meshes elastic wave full waveform inversion finite element method iterative Tikhonov regularization irregular topography conjugate gradient method
Funding ProjectNational Natural Science Foundation[11471328] ; National Natural Science Foundation[51739007]
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
WOS IDWOS:000481861600001
Citation statistics
Document Type期刊论文
Corresponding AuthorZhang, Wensheng
Affiliation1.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
Recommended Citation
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.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Zhang, Wensheng]'s Articles
Baidu academic
Similar articles in Baidu academic
[Zhang, Wensheng]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Zhang, Wensheng]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.