计算物理 ›› 1997, Vol. 14 ›› Issue (2): 129-130.

• 论文 •    下一篇

双参数波动方程反问题的数值解法

张文飞, 李晓江   

  1. 大庆石油学院分院, 河北秦皇岛 066000
  • 收稿日期:1995-06-07 修回日期:1996-12-23 出版日期:1997-03-25 发布日期:1997-03-25

NUMERICAL SOLUTION OF TWO PARAMETER INVERSE PROBLEM OF WAVE EQUATION

Zhang Wenfei, Li Xiaojiang   

  1. Daqing Petroleum Institute, Hebei Qinhuangdao 066000
  • Received:1995-06-07 Revised:1996-12-23 Online:1997-03-25 Published:1997-03-25

摘要: 提出在微分方程反问题的数值解法中可由一种反问题补充条件同时反求两个未知参数的观点和方法,并以一维波动方程为例推导了震源和岩性联合反演的详细算法。从概念上突破了传统的一种补充条件只能解一个未知数的反演理论的约束,解决了地震勘探中波动方程反问题的震源未知或测不准的矛盾,缩短了反演理论研究与工程实际应用间的距离。并给出相应的数值算例。

关键词: 波动方程, 双参数, 联合反演

Abstract: A two parameter numerical inverse method of differential equation with only one complementary condition is presented.According to this principle a simultaneous inverse algorithm of lithology parameter and seismic source function of one dimensional wave equation is given in detail.Theoretical analysis and numerical examples demonstrate the existence of solution,stability and accuracy of the method.The method provides a suitable way to solve the difficulty of unknown source function in practical seismic exploration.The numerical results show the feasibility of the algorithm.

Key words: Wave equation, Two-parameter, simultaneous inversion

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