Data regularization using Gaussian beams decomposition and sparse norms

被引：91

作者：

Wang, Yanfei ^{[1
]}

Liu, Peng ^{[2
,3
]}

Li, Zhenhua ^{[1
,3
]}

Sun, Tao ^{[1
,3
]}

Yang, Changchun ^{[1
]}

Zheng, Qingsheng ^{[4
]}

机构：

[1] Chinese Acad Sci, Inst Geol & Geophys, Key Lab Petr Resources Res, Beijing 100029, Peoples R China

[2] Chinese Acad Sci, Lanzhou Ctr Oil & Gas Resources, Inst Geol & Geophys, Lanzhou 730000, Peoples R China

[3] Univ Chinese Acad Sci, Beijing 100049, Peoples R China

[4] Zhuzhihaihui Petr Co Sci & Technol, Beijing 100083, Peoples R China

来源：

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS | 2013年 / 21卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Data regularization; Gaussian beams; l(0) optimization; sparse inversion; SEISMIC TRACE INTERPOLATION; INVERSE; RECONSTRUCTION; RESTORATION; RECOVERY;

D O I：

10.1515/jip-2012-0030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider seismic data regularization problems in this paper. Gaussian beam decomposition model is proposed for seismic data representation. To solve the representation problem, an l(0) quasi-norm minimization model with different smooth approximations is proposed. To solve the l(0) quasi-norm minimization problem, a projected gradient method with nonmonotone choice of iterative steps is developed. Numerical simulations on one-dimensional and two-dimensional seismic imaging problems are performed to verify the feasibility of our methods.

引用

页码：1 / 23

页数：23

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