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一种求解井间2.5维逆散射问题的迭代算法的研究
引用本文:尹峰,李幼铭.一种求解井间2.5维逆散射问题的迭代算法的研究[J].地球物理学报,1992,35(6):753-761.
作者姓名:尹峰  李幼铭
作者单位:1. 东南大学物理系 南京 210018; 2. 中国科学院地球物理研究所 北京 100101
摘    要:从二维非均匀介质中的声波方程出发,采用三维点源作为震源,提出了一种求解井间2.5维逆散射问题的迭代算法.其中,入射场与格林函数皆采用Maslov渐近理论予以计算,以避免非均匀介质中出现的焦散现象.数值模拟结果表明,本文提出的算法是有效的.

关 键 词:层析成像  2.5维  井间逆散射  Maslov理论  数值方法  
收稿时间:1991-01-31

A STUDY OF AN ITERATIVE ALGORITHM OF SOLVING 2.5D INVERSE SCATTERING IN CROSS-HOLES
YIN FENG WEI Yu LI YOU-MING.A STUDY OF AN ITERATIVE ALGORITHM OF SOLVING 2.5D INVERSE SCATTERING IN CROSS-HOLES[J].Chinese Journal of Geophysics,1992,35(6):753-761.
Authors:YIN FENG WEI Yu LI YOU-MING
Institution:1. Southeast University,Nanjing 210018; 2. Institute of Geophysica Academia Sinica, Beijing 100101
Abstract:An iterative algorithm of solving 2.5D inver e scattering problem is proposed from the acoustical wave equation in two dimensional inhomugeneous media, in which 30 pointcources are use as the detecting tools and incident field and Green function are calculated by Maslov asymptotic theory to avoid the caustics in inhomcgeneous media and raise precision of evaluating wave field in inhomogeneous media. In the paper, numerical methods and tests are studied. The results show that algorithm proposed by us is effective and makes progress towards the practice.
Keywords:Tomography  2  5D inverse scattering  Cross-holes  Maslov methods  Numerical methods  
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