Jacobian matrix for the inversion of P- and S-wave velocities and its accurate computation method
文献类型:期刊论文
作者 | Liu FuPing1,3; Meng XianJun2; Wang YuMei2; Shen GuoQiang2; Yang ChangChun3 |
刊名 | SCIENCE CHINA-EARTH SCIENCES
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出版日期 | 2011-05-01 |
卷号 | 54期号:5页码:647-654 |
关键词 | Jacobian matrix Zoeppritz equations inversion of velocities derivatives of RCs with respect to P- and S-wave velocities large angle |
ISSN号 | 1674-7313 |
DOI | 10.1007/s11430-010-4124-7 |
文献子类 | Article |
英文摘要 | The optimization inversion method based on derivatives is an important inversion technique in seismic data processing, where the key problem is how to compute the Jacobian matrix. The computation precision of the Jacobian matrix directly influences the success of the optimization inversion method. Currently, all AVO (Amplitude Versus Offset) inversion techniques are based on approximate expressions of Zoeppritz equations to obtain derivatives. As a result, the computation precision and application range of these AVO inversions are restricted undesirably. In order to improve the computation precision and to extend the application range of AVO inversions, the partial derivative equation (Jacobian matrix equation (JME) for the P- and S-wave velocities inversion) is established with Zoeppritz equations, and the derivatives of each matrix entry with respect to P- and S-wave velocities are derived. By solving the JME, we obtain the partial derivatives of the seismic wave reflection coefficients (RCs) with respect to P- and S-wave velocities, respectively, which are then used to invert for P- and S-wave velocities. To better understand the behavior of the new method, we plot partial derivatives of the seismic wave reflection coefficients, analyze the characteristics of these curves, and present new understandings for the derivatives acquired from in-depth analysis. Because only a linear system of equations is solved in our method, the computation of Jacobian matrix is not only of high precision but also is fast and efficient. Finally, the theoretical foundation is established so that we can further study inversion problems involving layered structures (including those with large incident angle) and can further improve computational speed and precision. |
WOS关键词 | ELECTROMAGNETIC-WAVE ; CONDUCTIVE MEDIA ; LATERAL SHIFT ; SEISMIC DATA ; MODEL ; INTERFACE |
WOS研究方向 | Geology |
语种 | 英语 |
WOS记录号 | WOS:000289563000003 |
出版者 | SCIENCE CHINA PRESS |
资助机构 | Funding Project for Academic Human Resources Development in Institutions of Higher Learning(PHR(20117145)) ; Funding Project for Academic Human Resources Development in Institutions of Higher Learning(PHR(20117145)) ; Funding Project for Academic Human Resources Development in Institutions of Higher Learning(PHR(20117145)) ; Funding Project for Academic Human Resources Development in Institutions of Higher Learning(PHR(20117145)) ; National Natural Science Foundation of China(10705049) ; National Natural Science Foundation of China(10705049) ; National Natural Science Foundation of China(10705049) ; National Natural Science Foundation of China(10705049) ; Funding Project for Academic Human Resources Development in Institutions of Higher Learning(PHR(20117145)) ; Funding Project for Academic Human Resources Development in Institutions of Higher Learning(PHR(20117145)) ; Funding Project for Academic Human Resources Development in Institutions of Higher Learning(PHR(20117145)) ; Funding Project for Academic Human Resources Development in Institutions of Higher Learning(PHR(20117145)) ; National Natural Science Foundation of China(10705049) ; National Natural Science Foundation of China(10705049) ; National Natural Science Foundation of China(10705049) ; National Natural Science Foundation of China(10705049) ; Funding Project for Academic Human Resources Development in Institutions of Higher Learning(PHR(20117145)) ; Funding Project for Academic Human Resources Development in Institutions of Higher Learning(PHR(20117145)) ; Funding Project for Academic Human Resources Development in Institutions of Higher Learning(PHR(20117145)) ; Funding Project for Academic Human Resources Development in Institutions of Higher Learning(PHR(20117145)) ; National Natural Science Foundation of China(10705049) ; National Natural Science Foundation of China(10705049) ; National Natural Science Foundation of China(10705049) ; National Natural Science Foundation of China(10705049) ; Funding Project for Academic Human Resources Development in Institutions of Higher Learning(PHR(20117145)) ; Funding Project for Academic Human Resources Development in Institutions of Higher Learning(PHR(20117145)) ; Funding Project for Academic Human Resources Development in Institutions of Higher Learning(PHR(20117145)) ; Funding Project for Academic Human Resources Development in Institutions of Higher Learning(PHR(20117145)) ; National Natural Science Foundation of China(10705049) ; National Natural Science Foundation of China(10705049) ; National Natural Science Foundation of China(10705049) ; National Natural Science Foundation of China(10705049) |
源URL | [http://ir.iggcas.ac.cn/handle/132A11/74782] ![]() |
专题 | 中国科学院地质与地球物理研究所 |
通讯作者 | Liu FuPing |
作者单位 | 1.Beijing Inst Graph Commun, Beijing 102600, Peoples R China 2.China Petrochem Corp SINOPEC, Shengli Geophys Res Inst, Dongying 257022, Peoples R China 3.Chinese Acad Sci, Inst Geol & Geophys, Beijing 100029, Peoples R China |
推荐引用方式 GB/T 7714 | Liu FuPing,Meng XianJun,Wang YuMei,et al. Jacobian matrix for the inversion of P- and S-wave velocities and its accurate computation method[J]. SCIENCE CHINA-EARTH SCIENCES,2011,54(5):647-654. |
APA | Liu FuPing,Meng XianJun,Wang YuMei,Shen GuoQiang,&Yang ChangChun.(2011).Jacobian matrix for the inversion of P- and S-wave velocities and its accurate computation method.SCIENCE CHINA-EARTH SCIENCES,54(5),647-654. |
MLA | Liu FuPing,et al."Jacobian matrix for the inversion of P- and S-wave velocities and its accurate computation method".SCIENCE CHINA-EARTH SCIENCES 54.5(2011):647-654. |
入库方式: OAI收割
来源:地质与地球物理研究所
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