| 对旅行时进行抛物型插值的地震射线追踪方法 |
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| 引用本文： | 张赛民,周竹生,陈灵君,周惠群.对旅行时进行抛物型插值的地震射线追踪方法[J].地球物理学进展,2007,22(1):43-48. |
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| 作者姓名： | 张赛民 周竹生 陈灵君 周惠群 |
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| 作者单位： | 1．中南大学信息物理工程学院，410083 长沙;2．中石化中南分公司研究院，410007 长沙 |
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| 摘 要： | 提出一种对旅行时进行抛物线插值的地震射线追踪方法（简称PTI方法），它比基于旅行时线性插值方法（简称LTI方法）计算结果更准确.PTI和LTI方法都是基于2D网格单元模型，用于计算地震波的旅行时和射线路径.首先介绍了相关方法的一些基本概念.旅行时和射线路径都是在网格边界上进行计算的，因此，射线路径在同一恒速网格内是直线.其计算过程有两步.第一步，计算旅行时，第二步追踪射线路径.然后给出了LTI算法的基本公式.因为在炮点网格内可能存在折射波，文章也相应导出了其公式.最后详细推导了PTI 方法的公式.通过模型试算对比说明，用PTI方法较LTI算法更精确、更有效，PTI方法是一种很有发展前途的地震射线追踪算法.
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| 关 键 词： | PTI法 LTI法 射线追踪 旅行时 射线路径 网格单元 |
| 文章编号： | 1004-2903（2007）01-0043-06 |
| 收稿时间： | 2005-12-20 |
| 修稿时间： | 2006-03-23 |
Seismic ray-tracing method of applying parabolic Interpolation to travel-time |
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| ZHANG Sai-min,ZHOU Zhu-sheng,CHEN Ling-jun,ZHOU Hui-qun.Seismic ray-tracing method of applying parabolic Interpolation to travel-time[J].Progress in Geophysics,2007,22(1):43-48. |
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| Authors: | ZHANG Sai-min ZHOU Zhu-sheng CHEN Ling-jun ZHOU Hui-qun |
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| Institution: | 1. School of In-Physics Geomatics Engineering, Central South University, Changsha 410083, China 2. Sinopec Central South Company, Changsha 410007, China |
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| Abstract: | A new seismic ray-tracing method was put forward based on parabolic travel-time interpolation(PTI) method,which is more accurate than the linear travel-time interpolation(LTI) method.Both PTI method and LTI method are used to compute seismic travel-times and ray-paths in a 2D gridded cell model.Firstly,some basic concepts related are introduced.The calculations of travel-times and ray-paths are carried out only on cell boundaries.So,the ray-path is always straight in the same cells with uniform velocity.Two steps are applied in the PTI and LTI method.Step 1 computes travel-times and step 2 traces ray-paths.then,the derivation of LTI'formulas process is described.Because of the presence of refraction wave in shot cell,the formula aiming at shot cell is also derivate.Finally,through the comprehension of above-mentioned works,the PTI method is presented.The calculations are more complex than that of LTI method,but the error is limited.Results of numerical model show that the PTI method can trace ray-paths more accurately and efficiently than LTI method does. |
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| Keywords: | ray-tracing PTI method LTI method travel-time ray-path gridded cell |
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