基于最小走时射线的LSQR 成像反演方法研究

重庆交通大学学报（自然科学版） ›› 2010, Vol. 29 ›› Issue (2): 315-318.

基于最小走时射线的LSQR 成像反演方法研究

赵火焱¹，赵明阶¹，黄卫东²，李建²，李勇²

1.重庆交通大学河海学院，重庆 400074;2.重庆市交通工程监理咨询有限责任公司，重庆 400042

收稿日期:2009-12-03 修回日期:2009-12-10 出版日期:2010-04-15 发布日期:2015-01-22
作者简介:赵火焱(1981—)，男，内蒙古赤峰人，硕士研究生，主要从事水工建筑物病害诊断与整治技术研究。E-mail:zhaohuoyan@126.com。
基金资助:
国家自然科学基金项目(50779081);重庆市科技攻关项目(CSTC2007AC6037)

Study on LSQR Inversion of Tomography Method Based on Shortest Traveltime Ray Tracing

ZHAO Huo-yan¹，ZHAO Ming-jie¹，HUANG Wei-dong²，LI Jian²，LI Yong²

1.Sclool of River ＆ Ocean Engineering，Chongqing Jiaotong University，Chongqing 400074，China; 2.Chongqing Supervision ＆ Consultation Co.of Traffic Engineering，Chongqing 400042，China

Received:2009-12-03 Revised:2009-12-10 Online:2010-04-15 Published:2015-01-22

摘要/Abstract

摘要： 给出了基于最小走时射线追踪方法及最小二乘正交分解法(LSQR)反演算法的层析成像技术的具体实现过程;建立了有速度异常区域的假定物理模型并对反演结果进行误差分析。结果表明:异常区相对误差普遍高于平均相对误差，节点速度值往往偏近于模型背景值;模型平均相对误差为2.34%～2.59%，相关系数为0.84～0.85，成像结果能较好反映模型情况;对成像结果进行分析还表明由于射线分布不均及射线覆盖程度不足等原因将引起图像局部失真，可以通过完善射线布置情况等方法得以改善。

关键词: 最小走时法, 射线追踪, LSQR, 层析成像, 假定物理模型

Abstract: The concrete implement process of tomography，which based on shortest traveltime ray tracing technique and LSQR iterative method，was given. Assumed physical models with abnormal velocity areas were upbulit. Result from difference analysis of inversion indicated that: (i) relative difference of abnormal velocity areas is higher than average relative difference，velocity of nodes always leaned to background velocity; ( ii) average relative difference is 2. 34% ～ 2. 59%， and correlation coefficient is 0. 84 ～ 0. 85. ( iii) result of tomography can well reflect the models. ( iv) asymmetry and shortage of radial may induce image distortion and should be meliorated by ameliorating radial disposal.

Key words: shortest traveltime, ray tracing, LSQR, tomography, assumed physical model

中图分类号:

TV698

赵火焱，赵明阶，黄卫东，李建，李勇. 基于最小走时射线的LSQR 成像反演方法研究[J]. 重庆交通大学学报（自然科学版）, 2010, 29(2): 315-318.

ZHAO Huo-yan，ZHAO Ming-jie，HUANG Wei-dong，LI Jian，LI Yong. Study on LSQR Inversion of Tomography Method Based on Shortest Traveltime Ray Tracing[J]. Journal of Chongqing Jiaotong University(Natural Science), 2010, 29(2): 315-318.