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

doi:10.1007/s11771-008-0164-y

IGGCAS OpenIR

	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
	2008-12-01
发表期刊	JOURNAL OF CENTRAL SOUTH UNIVERSITY OF TECHNOLOGY
ISSN	1005-9784
卷号	15 期号:6 页码:901-905
文章类型	Article
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.
关键词	ray-tracing seismic migration Cholesky decomposition tomography
WOS标题词	Science & Technology ; Technology
DOI	10.1007/s11771-008-0164-y
资助者	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)
关键词[WOS]	SEISMIC RAY ; MEDIA ; TOMOGRAPHY
收录类别	SCI
语种	英语
资助者	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)
WOS研究方向	Metallurgy & Metallurgical Engineering
WOS类目	Metallurgy & Metallurgical Engineering
WOS记录号	WOS:000261752900028
出版者	JOURNAL OF CENTRAL SOUTH UNIV TECHNOLOGY
引用统计
文献类型	期刊论文
条目标识符	http://ir.iggcas.ac.cn/handle/132A11/69246
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.