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.
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, CX;V 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.
出处
《地球物理学进展》
CSCD
北大核心
2012年第1期376-385,共10页
Progress in Geophysics
基金
中央高校基本科研业务费专项资金(DL12BB20)资助
