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Truncated trust region method for nonlinear inverse problems and application in full-waveform inversion

文献类型：期刊论文

作者Yan, Xiaokuai2; He, Qinglong1,2,3,4; Wang, Yanfei1,3,4
刊名JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
出版日期2022-04-01
卷号404页码:17
关键词Nonlinear inverse problems Trust region method Adjoint-state method Full-waveform inversion Regularization Matrix-free
ISSN号0377-0427
DOI10.1016/j.cam.2021.113896
英文摘要We 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.
WOS关键词PERFECTLY MATCHED LAYER ; CONJUGATE-GRADIENT METHOD ; FREQUENCY-DOMAIN ; NEWTON METHOD ; OPTIMIZATION ; ALGORITHM ; EQUATION ; DESCENT ; SOLVER
资助项目National 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]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000729991200019
出版者ELSEVIER
资助机构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 ; 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
源URL[http://ir.iggcas.ac.cn/handle/132A11/103914]  
专题地质与地球物理研究所_中国科学院油气资源研究重点实验室
通讯作者He, Qinglong
作者单位1.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Petr Resources Res, Beijing 100029, Peoples R China
2.Guizhou Univ, Sch Math & Stat, Guiyang 550025, 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
推荐引用方式
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.

入库方式： OAI收割

来源：地质与地球物理研究所

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