逆散射成像的算法
来源期刊：中南大学学报(自然科学版)2001年第4期
论文作者：范承亮 丁科 张建贵 李彩文 宋守根
文章页码：331 - 335
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
Key words：inverse scattering imaging; small perturbation theorem; interior discontinuities; reflection coefficient; Born approximation; Kirchh off approximation
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3种逆散射成像核心算法的可靠性.
Abstract: 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, bywhich a perfect and high effective conception has been discussed totestthe interior discontinuities of the targets being imaged. The key algorithms have been deduced completely. This method has been verified by the simulating values.
