IGGCAS OpenIR  > 油气资源研究院重点实验室
RECOVERY OF SEISMIC WAVEFIELDS BY AN l(q)-NORM CONSTRAINED REGULARIZATION METHOD
Xu, Fengmin1; Wang, Yanfei2,3,4
2018-10-01
Source PublicationINVERSE PROBLEMS AND IMAGING
ISSN1930-8337
Volume12Issue:5Pages:1157-1172
AbstractReconstruction of the seismic wavefield from sub-sampled data is an important problem in seismic image processing, this is partly due to limitations of the observations which usually yield incomplete data. In essence, this is an ill-posed inverse problem. To solve the ill-posed problem, different kinds of regularization technique can be applied. In this paper, we consider a novel regularization model, called the l(2)-l(q) minimization model, to recover the original geophysical data from the sub-sampled data. Based on the lower bound of the local minimizers of the l(2)-l(q) minimization model, a fast convergent iterative algorithm is developed to solve the minimization problem. Numerical results on random signals, synthetic and field seismic data demonstrate that the proposed approach is very robust in solving the ill-posed restoration problem and can greatly improve the quality of wavefield recovery.
KeywordWavefield reconstruction inverse theory sparse regularization l(p)-l(q)-norm optimization
DOI10.3934/ipi.2018048
Funding OrganizationNational Natural Science Foundation of China ; National Natural Science Foundation of China ; Strategic Priority Research Program of the Chinese Academy of Science ; Strategic Priority Research Program of the Chinese Academy of Science ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Strategic Priority Research Program of the Chinese Academy of Science ; Strategic Priority Research Program of the Chinese Academy of Science ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Strategic Priority Research Program of the Chinese Academy of Science ; Strategic Priority Research Program of the Chinese Academy of Science ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Strategic Priority Research Program of the Chinese Academy of Science ; Strategic Priority Research Program of the Chinese Academy of Science
WOS KeywordFOURIER RECONSTRUCTION ; IMAGE-RESTORATION ; BASIS PURSUIT ; INTERPOLATION ; LASSO ; MINIMIZATION ; INFORMATION ; REGRESSION ; TRANSFORM
Language英语
Funding ProjectNational Natural Science Foundation of China[91630202] ; Strategic Priority Research Program of the Chinese Academy of Science[XDB10020100] ; Strategic Priority Research Program of the Chinese Academy of Science[11571271]
Funding OrganizationNational Natural Science Foundation of China ; National Natural Science Foundation of China ; Strategic Priority Research Program of the Chinese Academy of Science ; Strategic Priority Research Program of the Chinese Academy of Science ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Strategic Priority Research Program of the Chinese Academy of Science ; Strategic Priority Research Program of the Chinese Academy of Science ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Strategic Priority Research Program of the Chinese Academy of Science ; Strategic Priority Research Program of the Chinese Academy of Science ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Strategic Priority Research Program of the Chinese Academy of Science ; Strategic Priority Research Program of the Chinese Academy of Science
WOS Research AreaMathematics ; Physics
WOS SubjectMathematics, Applied ; Physics, Mathematical
WOS IDWOS:000446988400005
PublisherAMER INST MATHEMATICAL SCIENCES-AIMS
Citation statistics
Document Type期刊论文
Identifierhttp://ir.iggcas.ac.cn/handle/132A11/89168
Collection油气资源研究院重点实验室
Corresponding AuthorWang, Yanfei
Affiliation1.Xi An Jiao Tong Univ, Sch Econ & Finance, Xian 710049, Shaanxi, 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
Recommended Citation
GB/T 7714
Xu, Fengmin,Wang, Yanfei. RECOVERY OF SEISMIC WAVEFIELDS BY AN l(q)-NORM CONSTRAINED REGULARIZATION METHOD[J]. INVERSE PROBLEMS AND IMAGING,2018,12(5):1157-1172.
APA Xu, Fengmin,&Wang, Yanfei.(2018).RECOVERY OF SEISMIC WAVEFIELDS BY AN l(q)-NORM CONSTRAINED REGULARIZATION METHOD.INVERSE PROBLEMS AND IMAGING,12(5),1157-1172.
MLA Xu, Fengmin,et al."RECOVERY OF SEISMIC WAVEFIELDS BY AN l(q)-NORM CONSTRAINED REGULARIZATION METHOD".INVERSE PROBLEMS AND IMAGING 12.5(2018):1157-1172.
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
[Xu, Fengmin]'s Articles
[Wang, Yanfei]'s Articles
Baidu academic
Similar articles in Baidu academic
[Xu, Fengmin]'s Articles
[Wang, Yanfei]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Xu, Fengmin]'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.