A hybrid method of matrix inversion suited for 3D implicit prestack depth migration
文献类型：期刊论文
| 作者 | Luo, MQ; Zhu, GT; Lu, H; Li, YM |
| 刊名 | CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION
 |
| 出版日期 | 2003-09-01 |
| 卷号 | 46期号:5页码:684-689 |
| 关键词 | LU decomposition spectral factorization direct solution hybrid method prestack depth migration helix boundary condition |
| ISSN号 | 0001-5733 |
| 文献子类 | Article |
| 英文摘要 | In depth wavefield migration, in order to extend the 2-D implicit method to 3-D case, a block-like diagonal matrix has to be inverted. General speaking, the matrix inversion will consume a large amount of computation time, which heavily hinder the application of 3-D implicit scheme in waveform migration. Under the helix boundary condition, the Helmhotz matrix has Toeplitz structure with positive definite property. The inversion of matrix can be realized by spectrum LU decomposition and direct solution. This paper proposes a hybrid scheme, which combines the advantages of spectrum LU decomposition and direct solution. Based on the table of matrix element of spectrum decomposition, the Helmhotz matrix can be decomposed by recursion of the direct solution. A numerical comparison has been made with the spectrum LU decomposition and direct solution. The accuracy of Helmhotz matrix is raised 10 times than that of spectrum, and the calculation speed is faster than that of the direct solution. In this way, the method can reduce the time of matrix inversion in 3-dimensional implicit difference migration and can be used to real data processing. |
| WOS关键词 | WAVE-PROPAGATION ; SPECTRAL FACTORIZATION ; SYMPLECTIC METHOD ; EXTRAPOLATION ; HELIX |
| WOS研究方向 | Geochemistry & Geophysics |
| 语种 | 英语 |
| WOS记录号 | WOS:000185746500016 |
| 出版者 | SCIENCE CHINA PRESS |
| 源URL | [http://ir.iggcas.ac.cn/handle/132A11/78445]  |
| 专题 | 中国科学院地质与地球物理研究所 |
| 通讯作者 | Luo, MQ |
| 作者单位 | 1.Chinese Acad Sci, Inst Geol & Geophys, Beijing 100029, Peoples R China 2.Univ Calif Santa Cruz, Santa Cruz, CA 95064 USA |
| 推荐引用方式 GB/T 7714 | Luo, MQ,Zhu, GT,Lu, H,et al. A hybrid method of matrix inversion suited for 3D implicit prestack depth migration[J]. CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION,2003,46(5):684-689. |
| APA | Luo, MQ,Zhu, GT,Lu, H,&Li, YM.(2003).A hybrid method of matrix inversion suited for 3D implicit prestack depth migration.CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION,46(5),684-689. |
| MLA | Luo, MQ,et al."A hybrid method of matrix inversion suited for 3D implicit prestack depth migration".CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION 46.5(2003):684-689. |
入库方式： OAI收割
来源：地质与地球物理研究所
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