西南石油大学学报(自然科学版) ›› 2008, Vol. 30 ›› Issue (5): 85-87.DOI: 10.3863/j.issn.1000-2634.2008.05.018

• 地质勘探 • 上一篇    下一篇

基于双线性插值的三维地震波旅行时计算

彭直兴 沈忠民   

  1. 成都理工大学能源学院,四川成都610059
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2008-10-20 发布日期:2008-10-20

COMPUTATION OF THREEDIMENSIONAL SEISMIC TRAVELTIME BASED ON BILINEAR INTERPOLATION

PENG Zhi-xing SHEN Zhong-min   

  1. College of Energy Resources,Chengdu University of Technology,Chengdu Sichuan 610059,China).〖WT5BX〗JOURNAL OF SOUTHWEST PETROLEUM UNIVERSITY(SCIENCE & TECHNOLOGY EDITION
  • Received:1900-01-01 Revised:1900-01-01 Online:2008-10-20 Published:2008-10-20

摘要:

针对地震波射线追踪方法中有效计算地震波旅行时及提高计算精度的问题,为克服传统射线追踪算法(即初值问题的试射法和边值问题的弯曲法)的不足,对三维介质模型下的地震波旅行时

进行了研究。在线性插值计算二维地震波旅行时射线追踪方法(LTI)的基础上,探索出了一种基于双线性插值计算三维地震波旅行时的方法原理,并推导了相应的计算公式。通过数值模拟计算、

与解析解的对比,不仅证明了该方法原理的正确性,而且还证明了该方法原理具有较高的计算精度。

关键词: 射线追踪, 地震波旅行时, 双线性插值, 三维结构, 数值模拟

Abstract: The computation of seismic traveltime is important content of ray tracing method,how to calculate the seismic traveltime effectively and increase the computation accuracy are widely concerned.In order to overcome the shortcomings of the traditional ray tracing algorithm(Shooting method of initial value and Bending method of boundary value),A variety of new methods and new technologies have been improved in the past 10 years.With the development of seismic exploration technology,it is necessary to study the computation of seismic traveltime and the methods of ray tracing in threedimensional medium model.Based on the linear traveltime interpolation (LTI) method to calculate twodimensional seismic traveltime,in this article,a method to calculate the threedimensional seismic traveltime is proposed by using bilinear interpolation,and its calculation formula deduced.Through numerical simulation calculation and the contrast with the analytic solution,the correctness of the principle of the method is proved,but also the method proved with a higher computation accuracy.

Key words: ray tracing, seismic traveltime, bilinear interpolation, threedimensional structure, numerical simulation

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