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混凝土结构缺陷检测的探地雷达资料波场反演方法
引用本文:丁亮,韩波,刘润泽.混凝土结构缺陷检测的探地雷达资料波场反演方法[J].地球物理学进展,2012,27(1):376-385.
作者姓名:丁亮  韩波  刘润泽
作者单位:1. 东北林业大学,哈尔滨,150040;哈尔滨工业大学,哈尔滨,150001
2. 哈尔滨工业大学,哈尔滨,150001
3. 长江工程地球物理勘测武汉有限公司,武汉,430000
基金项目:中央高校基本科研业务费专项资金
摘    要:本文针对工程建筑中的混凝土无损探测问题,提出了一种新的反演成像方法.它避免了传统方法观察偏移探测数据的情况.这种方法以探地雷达为探测手段,以电磁场原理为理论依据,其结果更具定量化和可视性.具体算法是将阻尼高斯牛顿法和GCV方法(Generalized Cross Validation)结合起来,其中阻尼牛顿法可以避免传统牛顿法计算Hessian矩阵的困难,GCV方法可以自适应地选择正则化参数,既减小了计算量又克服了噪声及不适定性的影响.数值算例验证了算法的有效性.

关 键 词:混凝土  探地雷达  反演成像  Maxwell方程  阻尼高斯牛顿  GCV函数

Wave field inversion method for nondestructive examination of concrete defect based on GPR data
DING Liang , HAN Bo , LIU Run-ze.Wave field inversion method for nondestructive examination of concrete defect based on GPR data[J].Progress in Geophysics,2012,27(1):376-385.
Authors:DING Liang  HAN Bo  LIU Run-ze
Institution:1.Harbin Institute of Technology,Harbin 150001,China; 2.Northeast Forestry University,Harbin 150040,China; 3.Cangjiang Engineering Geophysical Exploration & Testing Co.,Ltd,Wuhan 430000,China)
Abstract:According to concrete non-destruction detecting problem,we propose a new inversq imaging method.This method avoids the case that tranditional method always test the offset data.This method’s detecting means and theory are based on GPR and principle of electromagnetic field respectively,the solution is more quantify and visaul.This method combines the damping Gauss-Newton and GCV(Generalized Cross Valication)method,because damping Gauss-Newton method could avoid the difficulty of calculating Hessian matrix,GCV method could self-adapting select regularized parameter,it not only reduces the calculated quantity but also overcomes the noise and ill-posed influence.Numerical simulation show the validity and feasibility of the algorithm.
Keywords:concrete  GPR  inversion imaging  Maxwell equation  damping Gauss-Newton  GCV function
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