基于复程函方程和改进的快速推进法的复旅行时计算方法  

A method for complex traveltime calculation based on the complex eikonal equation and the modified fast marching

作　　者：黄兴国[1,2] 孙建国[1,2] 孙章庆[1,2] 王乾龙[1,2] 

机构地区：[1]吉林大学地球探测科学与技术学院,吉林长春130026 [2]国土资源部应用地球物理综合解释理论开放实验室,吉林长春130026

出　　处：《石油地球物理勘探》2016年第6期1109-1118,1147,共11页Oil Geophysical Prospecting

基　　金：国家自然科学基金项目(41274120;41404085;41504084)联合资助

摘　　要：直接对复程函方程进行数值求解计算地震波复旅行时存在困难,因为复程函方程融合了复旅行时实、虚两部分。本文结合扰动理论和梯度点积而形成的一种最优化方法,使数值求解复程函方程来计算复旅行时成为可能。为了将这种计算方法应用于弯曲射线,引入了不等距迎风差分法,并提出了改进的多点起算快速推进法的方案,对以弯曲射线为边界的区域进行处理,从而准确求取复旅行时。数值结果表明,本文的计算方法和处理策略是有效的。It is difficult to calculate the complex traveltime by directly solving the complex eikonal equation, because this equation constitutes of the real part and the imaginary part. We propose an optimization method by combining the perturbation theory with the intersection of product. This optimization solves first complex eikonal equation, then calculates complex traveltime. To calculate the complex traveltime of bending ray, we introduce non-uniform grid upwind difference method and a modified fast marching method to deal with the area near the central ray. Numerical test results show that the proposed method and strategies in this paper are effective. © 2016, Editorial Department OIL GEOPHYSICAL PROSPECTING. All right reserved.

关 键 词：复旅行时 复程函方程 扰动理论 不等距差分 快速推进法 

分 类 号：P631[天文地球—地质矿产勘探]