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RECOVERY OF SEISMIC WAVEFIELDS BY AN l(q)-NORM CONSTRAINED REGULARIZATION METHOD
Xu, Fengmin1; Wang, Yanfei2,3,4
2018-10-01
发表期刊INVERSE PROBLEMS AND IMAGING
ISSN1930-8337
卷号12期号:5页码:1157-1172
摘要Reconstruction 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.
关键词Wavefield reconstruction inverse theory sparse regularization l(p)-l(q)-norm optimization
DOI10.3934/ipi.2018048
资助者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 ; 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
关键词[WOS]FOURIER RECONSTRUCTION ; IMAGE-RESTORATION ; BASIS PURSUIT ; INTERPOLATION ; LASSO ; MINIMIZATION ; INFORMATION ; REGRESSION ; TRANSFORM
语种英语
资助项目National 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]
资助者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 ; 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研究方向Mathematics ; Physics
WOS类目Mathematics, Applied ; Physics, Mathematical
WOS记录号WOS:000446988400005
出版者AMER INST MATHEMATICAL SCIENCES-AIMS
引用统计
文献类型期刊论文
条目标识符http://ir.iggcas.ac.cn/handle/132A11/89168
专题油气资源研究院重点实验室
通讯作者Wang, Yanfei
作者单位1.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
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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.
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