RECOVERY OF SEISMIC WAVEFIELDS BY AN l(q)-NORM CONSTRAINED REGULARIZATION METHOD

doi:10.3934/ipi.2018048

CORC > 地质与地球物理研究所 > 中国科学院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

	RECOVERY OF SEISMIC WAVEFIELDS BY AN l(q)-NORM CONSTRAINED REGULARIZATION METHOD
	Xu, Fengmin 1; Wang, Yanfei 2,3,4
刊名	INVERSE PROBLEMS AND IMAGING
	2018-10-01
卷号	12 期号:5 页码:1157-1172
关键词	Wavefield reconstruction inverse theory sparse regularization l(p)-l(q)-norm optimization
ISSN号	1930-8337
DOI	10.3934/ipi.2018048
英文摘要	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.
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]
WOS关键词	FOURIER RECONSTRUCTION ; IMAGE-RESTORATION ; BASIS PURSUIT ; INTERPOLATION ; LASSO ; MINIMIZATION ; INFORMATION ; REGRESSION ; TRANSFORM
WOS研究方向	Mathematics ; Physics
语种	英语
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
WOS记录号	WOS:000446988400005
资助机构	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
内容类型	期刊论文
源URL	[http://ir.iggcas.ac.cn/handle/132A11/89168]
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	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
推荐引用方式 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.