逆散射成像的算法  

Algorithm on inverse scattering imaging

作　　者：范承亮[1] 丁科[1] 张建贵[1] 李彩文[1] 宋守根[1] 

机构地区：[1]中南大学资源环境与建筑工程学院,湖南长沙410083

出　　处：《中南工业大学学报》2001年第4期331-335,共5页Journal of Central South University of Technology(Natural Science)

基　　金：国家"九五"重点科技攻关项目( 961110 10 8);中国教育部跨世纪优秀人才培养计划项目 ( 19990 2 )

摘　　要：基于微扰论 ,对散射成像进行了正演描述 ,并利用傅里叶变换及Born近似和Kirchhoff近似 ,着重从一维线性、三维立体到 2 .5维平面近似对逆散射成像的算法进行了推导 ,通过反演标量Helmholtz波动方程 ,计算扰动函数α(x) ,求取反射函数 β(x) ,经归一化处理后确定反射系数R ,获得反射界面波速信息v(x) ;提出了 1种可精确判定反射面位置 ,且无需先得知探测体内的物理模型 ,可确定各不连续面以下的波速的方法 ,为识别探测目标内部的不连续面提出了有效的判断依据 .计算机数值模拟结果证实了Due to its unique merits, inverse scattering imaging is becoming more and more popular in seismic data processing. Based on small perturbation theorem, systematical forward description and inverse deduction have been carried out from one dimension, three dimensions to two and one half dimension for scattering imaging. By inversion, and through calculating the perturbation function, reflection function and reflection coefficient of the three different cases, the material information can be obtained, by which a perfect and high effective conception has been discussed to test the interior discontinuities of the targets being imaged. The key algorithms have been deduced completely. This method has been verified by the simulating values.

关 键 词：逆散射成像 微扰论 不连续面 反射系数 Born近似 Kirchhoff近似 地震 

分 类 号：P315.3[天文地球—地震学]