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题名

A fast and robust two-point ray tracing method in layered media with constant or linearly varying layer velocity

作者
通讯作者Fang, Xinding
发表日期
2019-09-01
DOI
发表期刊
ISSN
0016-8025
EISSN
1365-2478
卷号67期号:7页码:1811-1824
摘要

A fast and robust method for two-point ray tracing in one-dimensional layered media is presented. This method is applicable to layered models with constant or linearly varying isotropic layer velocity. For given model properties and source and receiver positions, a ray path can be uniquely determined once its ray parameter (i.e. horizontal slowness) is known. The ray parameter can be obtained by numerically solving the nonlinear offset (i.e. source-receiver horizontal distance) equation using Newton's method, which generally works well at near and mid offsets. However, Newton's method becomes hard to converge at large offsets due to the oversensitivity of offset to ray parameter. Based on the analysis of the characteristic of the offset equation, a modified ray parameter is proposed and used to replace the generic ray parameter in numerical calculation. Numerical experiments show that the iteration process becomes stable and converges rapidly with the modified ray parameter. Moreover, a rational function that asymptotically approximates the shape of the offset equation is introduced for obtaining good initial estimates of the modified ray parameter. Numerical tests show that this method is robust in any situation, and an accurate ray parameter can be obtained within two or three iterations for a wide range of model velocity structure and source-receiver distance. Furthermore, the proposed two-point ray tracing method is easy to implement.

关键词
相关链接[来源记录]
收录类别
SCI ; EI
语种
英语
学校署名
第一 ; 通讯
资助项目
National Natural Science Foundation of China[41704112]
WOS研究方向
Geochemistry & Geophysics
WOS类目
Geochemistry & Geophysics
WOS记录号
WOS:000482288100007
出版者
EI入藏号
20192006939661
EI主题词
Horizontal Wells ; Models ; Newton-raphson Method ; Nonlinear Equations ; Numerical Methods ; Rational Functions
EI分类号
Oil Fields:512.1.1 ; Light/optics:741.1 ; Mathematics:921 ; Numerical Methods:921.6
ESI学科分类
GEOSCIENCES
来源库
Web of Science
引用统计
被引频次[WOS]:2
成果类型期刊论文
条目标识符http://kc.sustech.edu.cn/handle/2SGJ60CL/25229
专题理学院_地球与空间科学系
作者单位
Southern Univ Sci & Technol, Dept Earth & Space Sci, Shenzhen 518055, Guangdong, Peoples R China
第一作者单位地球与空间科学系
通讯作者单位地球与空间科学系
第一作者的第一单位地球与空间科学系
推荐引用方式
GB/T 7714
Fang, Xinding,Chen, Xiaofei. A fast and robust two-point ray tracing method in layered media with constant or linearly varying layer velocity[J]. GEOPHYSICAL PROSPECTING,2019,67(7):1811-1824.
APA
Fang, Xinding,&Chen, Xiaofei.(2019).A fast and robust two-point ray tracing method in layered media with constant or linearly varying layer velocity.GEOPHYSICAL PROSPECTING,67(7),1811-1824.
MLA
Fang, Xinding,et al."A fast and robust two-point ray tracing method in layered media with constant or linearly varying layer velocity".GEOPHYSICAL PROSPECTING 67.7(2019):1811-1824.
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