Least-squares imaging of diffractions by solving a hybrid L-1-L-2 norm minimization problem
文献类型：期刊论文
| 作者 | Zhao, Jingtao3; Yu, Caixia2; Peng, Suping3; Cao, Jingjie1 |
| 刊名 | GEOPHYSICS
 |
| 出版日期 | 2021 |
| 卷号 | 86期号:1页码:S59-+ |
| ISSN号 | 0016-8033 |
| DOI | 10.1190/GEO2019-0720.1 |
| 英文摘要 | Traditional diffraction images without a specific migration kernel for promoting focusing abilities may cause confusion to seismic interpretation because diffraction images may show a finite-array response of diffracted/scattered waves. Because diffractors are discontinuous and sparsely distributed, a least squares diffraction-imaging method is formulated by solving a hybrid L-1-L-2 norm minimization problem that imposes a sparsity constraint on diffraction images. It uses two different forward modeling operators for reflections and diffractions and L-2 and L-1 regularizations for penalizing the amplitudes of the reflection and diffraction images, respectively. A classic Kirchhoff diffraction demigration operator is implemented on an initial diffraction image model to synthesize diffracted/scattered waves. A Kirchhoff reflection demigration operator, formulated by considering the local reflection slopes and a cosine attenuation weighting function, is implemented on an initial reflection image to synthesize the reflected waves. A modified alternating direction approach of multipliers is developed for iteratively solving this minimization problem to create diffraction images and their separated diffractions. The depths and local reflection slopes of the reflection images are fixed during this iteration. To alleviate the energy leakage between diffractions and reflections, after performing the plane-wave destruction method on the conventional migration data, its estimated reflection image and residual image are provided as the initial reflection and diffraction images, respectively. Our method can remove steep slope reflections, increase the focusing power of the diffractions, and eliminate noise. Two numerical experiments demonstrate its capability of separating and imaging small-scale discontinuities and inhomogeneities. The exposed geologic structures in the tunnel of field coal mining further illustrate this method's potential in ascertaining hidden faults, edges, and collapsed columns. A safety warning should be definitely required if a mining working surface is advancing these hidden geologic disasters because an emergency of water bursting or gas leakage may happen. |
| WOS关键词 | WAVE-FORM INVERSION ; VELOCITY ANALYSIS ; TIME MIGRATION ; REGULARIZATION ; SEPARATION ; SHOT ; RECONSTRUCTION |
| 资助项目 | National Natural Science Foundation of China[42022031] ; National Natural Science Foundation of China[41874157] ; National Key Research and Development Program of China[2020YFE0201300] ; Fundamental Research Funds for the Central Universities[2020YQMT01] ; Peng Research Group in CUMTB |
| WOS研究方向 | Geochemistry & Geophysics |
| 语种 | 英语 |
| WOS记录号 | WOS:000701717600002 |
| 出版者 | SOC EXPLORATION GEOPHYSICISTS |
| 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 Research and Development Program of China ; National Key Research and Development Program of China ; National Key Research and Development Program of China ; National Key Research and Development Program of China ; Fundamental Research Funds for the Central Universities ; Fundamental Research Funds for the Central Universities ; Fundamental Research Funds for the Central Universities ; Fundamental Research Funds for the Central Universities ; Peng Research Group in CUMTB ; Peng Research Group in CUMTB ; Peng Research Group in CUMTB ; Peng Research Group in CUMTB ; 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 Research and Development Program of China ; National Key Research and Development Program of China ; National Key Research and Development Program of China ; National Key Research and Development Program of China ; Fundamental Research Funds for the Central Universities ; Fundamental Research Funds for the Central Universities ; Fundamental Research Funds for the Central Universities ; Fundamental Research Funds for the Central Universities ; Peng Research Group in CUMTB ; Peng Research Group in CUMTB ; Peng Research Group in CUMTB ; Peng Research Group in CUMTB ; 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 Research and Development Program of China ; National Key Research and Development Program of China ; National Key Research and Development Program of China ; National Key Research and Development Program of China ; Fundamental Research Funds for the Central Universities ; Fundamental Research Funds for the Central Universities ; Fundamental Research Funds for the Central Universities ; Fundamental Research Funds for the Central Universities ; Peng Research Group in CUMTB ; Peng Research Group in CUMTB ; Peng Research Group in CUMTB ; Peng Research Group in CUMTB ; 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 Research and Development Program of China ; National Key Research and Development Program of China ; National Key Research and Development Program of China ; National Key Research and Development Program of China ; Fundamental Research Funds for the Central Universities ; Fundamental Research Funds for the Central Universities ; Fundamental Research Funds for the Central Universities ; Fundamental Research Funds for the Central Universities ; Peng Research Group in CUMTB ; Peng Research Group in CUMTB ; Peng Research Group in CUMTB ; Peng Research Group in CUMTB |
| 源URL | [http://ir.iggcas.ac.cn/handle/132A11/102733]  |
| 专题 | 中国科学院地质与地球物理研究所 |
| 通讯作者 | Yu, Caixia |
| 作者单位 | 1.Hebei GEO Univ, Shijiazhuang 050031, Hebei, Peoples R China 2.Chinese Acad Sci, Inst Geol & Geophys, Beijing 100029, Peoples R China 3.China Univ Min & Technol Beijing, State Key Lab Coal Resources & Safe Mining, Beijing 100083, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhao, Jingtao,Yu, Caixia,Peng, Suping,et al. Least-squares imaging of diffractions by solving a hybrid L-1-L-2 norm minimization problem[J]. GEOPHYSICS,2021,86(1):S59-+. |
| APA | Zhao, Jingtao,Yu, Caixia,Peng, Suping,&Cao, Jingjie.(2021).Least-squares imaging of diffractions by solving a hybrid L-1-L-2 norm minimization problem.GEOPHYSICS,86(1),S59-+. |
| MLA | Zhao, Jingtao,et al."Least-squares imaging of diffractions by solving a hybrid L-1-L-2 norm minimization problem".GEOPHYSICS 86.1(2021):S59-+. |
入库方式： OAI收割
来源：地质与地球物理研究所
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