IGGCAS OpenIR  > 油气资源研究院重点实验室
Truncated trust region method for nonlinear inverse problems and application in full-waveform inversion
Yan, Xiaokuai1; He, Qinglong1,2,3,4; Wang, Yanfei2,3,4
2022-04-01
Source PublicationJOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN0377-0427
Volume404Pages:17
AbstractWe present a general truncated trust region method to solve large-scale nonlinear inverse problems. The truncated trust region method can serve as an implicit regularization method, and it can take advantage of the second-order derivative information of the misfit functional. The convergence of the truncated trust region method is provided under some smoothness assumptions. To improve the computational efficiency and reduce the memory requirement, we develop a second-order adjoint-state method to efficiently estimate matrix-vector products, and solve the trust region subproblem using the truncated conjugate gradient method with the matrix-free strategy. The full-waveform inversion problem is used to test the numerical performance of the proposed method. Numerical results show that the truncated trust region method can perform better than conventional methods (e.g. nonlinear conjugate gradient method and L-BFGS) for highly nonlinear inverse problems, in terms of inverting resolution. (C) 2021 Elsevier B.V. All rights reserved.
KeywordNonlinear inverse problems Trust region method Adjoint-state method Full-waveform inversion Regularization Matrix-free
DOI10.1016/j.cam.2021.113896
Funding OrganizationNational Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Key R&D Program of the Ministry of Science and Technology of China ; National Key R&D Program of the Ministry of Science and Technology of China ; National Key R&D Program of the Ministry of Science and Technology of China ; National Key R&D Program of the Ministry of Science and Technology of China ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; Guizhou Science and Technology Plan Project, China ; Guizhou Science and Technology Plan Project, China ; Guizhou Science and Technology Plan Project, China ; Guizhou Science and Technology Plan Project, China ; Guizhou Science and Technology Platform talents, China ; Guizhou Science and Technology Platform talents, China ; Guizhou Science and Technology Platform talents, China ; Guizhou Science and Technology Platform talents, China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Key R&D Program of the Ministry of Science and Technology of China ; National Key R&D Program of the Ministry of Science and Technology of China ; National Key R&D Program of the Ministry of Science and Technology of China ; National Key R&D Program of the Ministry of Science and Technology of China ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; Guizhou Science and Technology Plan Project, China ; Guizhou Science and Technology Plan Project, China ; Guizhou Science and Technology Plan Project, China ; Guizhou Science and Technology Plan Project, China ; Guizhou Science and Technology Platform talents, China ; Guizhou Science and Technology Platform talents, China ; Guizhou Science and Technology Platform talents, China ; Guizhou Science and Technology Platform talents, China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Key R&D Program of the Ministry of Science and Technology of China ; National Key R&D Program of the Ministry of Science and Technology of China ; National Key R&D Program of the Ministry of Science and Technology of China ; National Key R&D Program of the Ministry of Science and Technology of China ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; Guizhou Science and Technology Plan Project, China ; Guizhou Science and Technology Plan Project, China ; Guizhou Science and Technology Plan Project, China ; Guizhou Science and Technology Plan Project, China ; Guizhou Science and Technology Platform talents, China ; Guizhou Science and Technology Platform talents, China ; Guizhou Science and Technology Platform talents, China ; Guizhou Science and Technology Platform talents, China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Key R&D Program of the Ministry of Science and Technology of China ; National Key R&D Program of the Ministry of Science and Technology of China ; National Key R&D Program of the Ministry of Science and Technology of China ; National Key R&D Program of the Ministry of Science and Technology of China ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; Guizhou Science and Technology Plan Project, China ; Guizhou Science and Technology Plan Project, China ; Guizhou Science and Technology Plan Project, China ; Guizhou Science and Technology Plan Project, China ; Guizhou Science and Technology Platform talents, China ; Guizhou Science and Technology Platform talents, China ; Guizhou Science and Technology Platform talents, China ; Guizhou Science and Technology Platform talents, China
WOS KeywordPERFECTLY MATCHED LAYER ; CONJUGATE-GRADIENT METHOD ; FREQUENCY-DOMAIN ; NEWTON METHOD ; OPTIMIZATION ; ALGORITHM ; EQUATION ; DESCENT ; SOLVER
Language英语
Funding ProjectNational Natural Science Foundation of China[11801111] ; National Natural Science Foundation of China[91630202] ; National Key R&D Program of the Ministry of Science and Technology of China[2018YFC0603500] ; China Postdoctoral Science Foundation[2019M650831] ; Guizhou Science and Technology Plan Project, China[[2019] 1122] ; Guizhou Science and Technology Platform talents, China[[2018] 5781]
Funding OrganizationNational Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Key R&D Program of the Ministry of Science and Technology of China ; National Key R&D Program of the Ministry of Science and Technology of China ; National Key R&D Program of the Ministry of Science and Technology of China ; National Key R&D Program of the Ministry of Science and Technology of China ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; Guizhou Science and Technology Plan Project, China ; Guizhou Science and Technology Plan Project, China ; Guizhou Science and Technology Plan Project, China ; Guizhou Science and Technology Plan Project, China ; Guizhou Science and Technology Platform talents, China ; Guizhou Science and Technology Platform talents, China ; Guizhou Science and Technology Platform talents, China ; Guizhou Science and Technology Platform talents, China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Key R&D Program of the Ministry of Science and Technology of China ; National Key R&D Program of the Ministry of Science and Technology of China ; National Key R&D Program of the Ministry of Science and Technology of China ; National Key R&D Program of the Ministry of Science and Technology of China ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; Guizhou Science and Technology Plan Project, China ; Guizhou Science and Technology Plan Project, China ; Guizhou Science and Technology Plan Project, China ; Guizhou Science and Technology Plan Project, China ; Guizhou Science and Technology Platform talents, China ; Guizhou Science and Technology Platform talents, China ; Guizhou Science and Technology Platform talents, China ; Guizhou Science and Technology Platform talents, China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Key R&D Program of the Ministry of Science and Technology of China ; National Key R&D Program of the Ministry of Science and Technology of China ; National Key R&D Program of the Ministry of Science and Technology of China ; National Key R&D Program of the Ministry of Science and Technology of China ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; Guizhou Science and Technology Plan Project, China ; Guizhou Science and Technology Plan Project, China ; Guizhou Science and Technology Plan Project, China ; Guizhou Science and Technology Plan Project, China ; Guizhou Science and Technology Platform talents, China ; Guizhou Science and Technology Platform talents, China ; Guizhou Science and Technology Platform talents, China ; Guizhou Science and Technology Platform talents, China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Key R&D Program of the Ministry of Science and Technology of China ; National Key R&D Program of the Ministry of Science and Technology of China ; National Key R&D Program of the Ministry of Science and Technology of China ; National Key R&D Program of the Ministry of Science and Technology of China ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; China Postdoctoral Science Foundation ; Guizhou Science and Technology Plan Project, China ; Guizhou Science and Technology Plan Project, China ; Guizhou Science and Technology Plan Project, China ; Guizhou Science and Technology Plan Project, China ; Guizhou Science and Technology Platform talents, China ; Guizhou Science and Technology Platform talents, China ; Guizhou Science and Technology Platform talents, China ; Guizhou Science and Technology Platform talents, China
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000729991200019
PublisherELSEVIER
Citation statistics
Document Type期刊论文
Identifierhttp://ir.iggcas.ac.cn/handle/132A11/103914
Collection油气资源研究院重点实验室
Corresponding AuthorHe, Qinglong
Affiliation1.Guizhou Univ, Sch Math & Stat, Guiyang 550025, Peoples R China
2.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Petr Resources Res, Beijing 100029, Peoples R China
3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
4.Chinese Acad Sci, Inst Earth Sci, Beijing 100029, Peoples R China
Corresponding Author AffilicationKey Laboratory of Petroleum Resource Research, Chinese Academy of Sciences;  Institute of Geology and Geophysics, Chinese Academy of Sciences
Recommended Citation
GB/T 7714
Yan, Xiaokuai,He, Qinglong,Wang, Yanfei. Truncated trust region method for nonlinear inverse problems and application in full-waveform inversion[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2022,404:17.
APA Yan, Xiaokuai,He, Qinglong,&Wang, Yanfei.(2022).Truncated trust region method for nonlinear inverse problems and application in full-waveform inversion.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,404,17.
MLA Yan, Xiaokuai,et al."Truncated trust region method for nonlinear inverse problems and application in full-waveform inversion".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 404(2022):17.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Yan, Xiaokuai]'s Articles
[He, Qinglong]'s Articles
[Wang, Yanfei]'s Articles
Baidu academic
Similar articles in Baidu academic
[Yan, Xiaokuai]'s Articles
[He, Qinglong]'s Articles
[Wang, Yanfei]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Yan, Xiaokuai]'s Articles
[He, Qinglong]'s Articles
[Wang, Yanfei]'s Articles
Terms of Use
No data!
Social Bookmark/Share
Add to CiteULike Add to Connotea Add to Del.icio.us Add to Digg Add to Reddit Add to Technorati
All comments (0)
No comment.
 

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