Fast ray tracing method in 3-D structure and its proof of positive definiteness
文献类型：期刊论文
| 作者 | Gao Er-gen; Han, Uk; Teng Ji-wen |
| 刊名 | JOURNAL OF CENTRAL SOUTH UNIVERSITY OF TECHNOLOGY
 |
| 出版日期 | 2007-02-01 |
| 卷号 | 14期号:1页码:100-103 |
| 关键词 | Fermat's principle ray tracing ray path positivity seismic migration tomography |
| ISSN号 | 1005-9784 |
| DOI | 10.1007/s11771-007-0020-5 |
| 文献子类 | Article |
| 英文摘要 | Based on Fermat's principle, two-point ray tracing method was studied in three-dimensional structure. By means of first order Taylor's incomplete series expansion (i.e. no expansion to the length of the ray), a symmetry block tridiagonal matrix equation set was deduced. Further, die positive definiteness of coefficient matrix was discussed, and the positive definiteness was accurately proved in a mathematical way. It assured that the algorithm was well-posed. Associated with iterative method, the solution to ray tracing can be got through step-by-step linearized iteration of the nonlinear problem. An algorithm of the whole path iterative ray tracing method in three-dimensional velocity structure was obtained. This method shows a clear and simple as well as explicit computation formula, which makes ray tracing computation easily applicable in practice. The correction vector is obtained through finding the solution to the positive definite block tridiagonal equation set, which ensures the method is robust convergence. This study offers a new kind of feasible and efficient ray tracing method for three dimensional seismic migration and tomography. Meanwhile, it also provides the prerequisite guarantee to design a fast algorithm. |
| WOS关键词 | ALGORITHM ; MEDIA |
| WOS研究方向 | Metallurgy & Metallurgical Engineering |
| 语种 | 英语 |
| WOS记录号 | WOS:000246083600020 |
| 出版者 | JOURNAL OF CENTRAL SOUTH UNIV TECHNOLOGY |
| 源URL | [http://ir.iggcas.ac.cn/handle/132A11/68154]  |
| 专题 | 中国科学院地质与地球物理研究所 |
| 通讯作者 | Gao Er-gen |
| 作者单位 | 1.Univ Sci & Technol China, Sch Earth & Space Sci, Hefei 230026, Peoples R China 2.Korea Mil Acad, Dept Environm Sci, Seoul 139799, South Korea 3.Chinese Acad Sci, Inst Geophys, Beijing 100101, Peoples R China |
| 推荐引用方式 GB/T 7714 | Gao Er-gen,Han, Uk,Teng Ji-wen. Fast ray tracing method in 3-D structure and its proof of positive definiteness[J]. JOURNAL OF CENTRAL SOUTH UNIVERSITY OF TECHNOLOGY,2007,14(1):100-103. |
| APA | Gao Er-gen,Han, Uk,&Teng Ji-wen.(2007).Fast ray tracing method in 3-D structure and its proof of positive definiteness.JOURNAL OF CENTRAL SOUTH UNIVERSITY OF TECHNOLOGY,14(1),100-103. |
| MLA | Gao Er-gen,et al."Fast ray tracing method in 3-D structure and its proof of positive definiteness".JOURNAL OF CENTRAL SOUTH UNIVERSITY OF TECHNOLOGY 14.1(2007):100-103. |
入库方式： OAI收割
来源：地质与地球物理研究所
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