Fast algorithm and numerical simulation for ray-tracing in 3D structure

doi:10.1007/s11771-008-0164-y

	Fast algorithm and numerical simulation for ray-tracing in 3D structure
	Gao Er-gen 1,2; Zhang An-jia 3; Han Uk 4; Song Shu-yun 1; Zhai Yong-bo 1
刊名	JOURNAL OF CENTRAL SOUTH UNIVERSITY OF TECHNOLOGY
	2008-12-01
卷号	15 期号:6 页码:901-905
关键词	ray-tracing seismic migration Cholesky decomposition tomography
ISSN号	1005-9784
DOI	10.1007/s11771-008-0164-y
文献子类	Article
英文摘要	Beginning with the method of whole path iterative ray-tracing and according to the positive definiteness of the coefficient matrix of the systems of linear equations, a symmetry block tridiagonal matrix was decomposed into the product of block bidiagonal triangular matrix and its transpose by means of Cholesky decomposition. Then an algorithm for solving systems of block bidiagonal triangular linear equations was given, which is not necessary to treat with the zero elements out of banded systems. A fast algorithm for solving the systems of symmetry block tridiagonal linear equations was deduced, which can quicken the speed of ray-tracing. Finally, the simulation based on this algorithm for ray-tracing in three dimensional media was carried out. Meanwhile, the segmentally-iterative ray-tracing method and banded method for solving the systems of block tridiagonal linear equations were compared in the same model mentioned above. The convergence condition was assumed that the L-2 norm summation for m(k,1) and m(k),(2) in the whole ray path was limited in 10(-6). And the calculating speeds of these methods were compared. The results show that the calculating speed of this algorithm is faster than that of conventional method and the calculated results are accurate enough. In addition, its precision can be controlled according to the requirement of ray-tracing.
WOS关键词	SEISMIC RAY ; MEDIA ; TOMOGRAPHY
WOS研究方向	Metallurgy & Metallurgical Engineering
语种	英语
出版者	JOURNAL OF CENTRAL SOUTH UNIV TECHNOLOGY
WOS记录号	WOS:000261752900028
资助机构	National Natural Science Foundation of China(40674071) ; National Natural Science Foundation of China(40674071) ; Korea Foundation for Advanced Studies(KFAS2002-2003) ; Korea Foundation for Advanced Studies(KFAS2002-2003) ; National Natural Science Foundation of China(40674071) ; National Natural Science Foundation of China(40674071) ; Korea Foundation for Advanced Studies(KFAS2002-2003) ; Korea Foundation for Advanced Studies(KFAS2002-2003) ; National Natural Science Foundation of China(40674071) ; National Natural Science Foundation of China(40674071) ; Korea Foundation for Advanced Studies(KFAS2002-2003) ; Korea Foundation for Advanced Studies(KFAS2002-2003) ; National Natural Science Foundation of China(40674071) ; National Natural Science Foundation of China(40674071) ; Korea Foundation for Advanced Studies(KFAS2002-2003) ; Korea Foundation for Advanced Studies(KFAS2002-2003)
内容类型	期刊论文
源URL	[http://ir.iggcas.ac.cn/handle/132A11/69245]
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, Anhua 230026, Peoples R China 2.Univ Sci & Technol China, Res Ctr Oil & Nat Gases, Anhua 230026, Peoples R China 3.Chinese Acad Sci, Inst Geophys, Beijing 100101, Peoples R China 4.Korea Mil Acad, Dept Environm Sci, Seoul 139799, South Korea
推荐引用方式 GB/T 7714	Gao Er-gen,Zhang An-jia,Han Uk,et al. Fast algorithm and numerical simulation for ray-tracing in 3D structure[J]. JOURNAL OF CENTRAL SOUTH UNIVERSITY OF TECHNOLOGY,2008,15(6):901-905.
APA	Gao Er-gen,Zhang An-jia,Han Uk,Song Shu-yun,&Zhai Yong-bo.(2008).Fast algorithm and numerical simulation for ray-tracing in 3D structure.JOURNAL OF CENTRAL SOUTH UNIVERSITY OF TECHNOLOGY,15(6),901-905.
MLA	Gao Er-gen,et al."Fast algorithm and numerical simulation for ray-tracing in 3D structure".JOURNAL OF CENTRAL SOUTH UNIVERSITY OF TECHNOLOGY 15.6(2008):901-905.