基于探地雷达的混凝土无损检测反演成像方法  

Inversion imaging method for concrete non-destructive testing based on GPR

作　　者：丁亮[1,2] 韩波[1] 刘润泽 张建清 

机构地区：[1]哈尔滨工业大学数学系,哈尔滨150001 [2]东北林业大学数学系,哈尔滨150040 [3]长江工程地球物理勘测武汉有限公司,武汉430000

出　　处：《地球物理学报》2012年第1期317-326,共10页Chinese Journal of Geophysics

基　　金：哈尔滨工业大学科研创新基金(HIT.NSRIF.2009051);中央高校基本科研业务费专项资金(DL12BB20)资助

摘　　要：本文针对水利水电工程中的混凝土构件无损探测问题,提出了一种新的反演成像方法.传统方法主要依赖人工经验观察偏移探测数据,精度无法保证.这种方法以Maxwell方程的TM问题为数学模型,在混凝土的表面放置发射源与接收器,根据探地雷达的接收数据,采用同伦优化方法结合收敛速度较快的阻尼高斯牛顿方法作为反演算法,其成像结果更具定量化和可视性.该成像方法克服了传统雷达剖面图只能近似地反映混凝土中埋藏物及缺陷的深度、大小等缺点,不仅能够探测混凝土内部异物的位置,而且能够比较准确地确定异物的大小及属性.通过计算机模拟以及对实际资料的处理,验证了该反演成像结果直观、可靠、具有一定的应用价值.In this paper, we propose a new inversion imaging method for concrete non-destructive testing in hydropower engineering. Traditional method depends largely on one＇s experience to observe the offset detection data, its accuracy can not be guaranteed. This method is based on the electromagnetic field theory, and uses GPR （Ground Penetrating Radar） as the detecting means. According to GPR data, we give the inversion algorithm which is a homotopy method coupled with fast convergent damping Gauss-Newton method, the imaging results are quantitative and visualized. This method overcomes the shortcomings that traditional GPR profile only roughly reflects the depth and size of concrete defect, it can not only accurately detect the position but also the size and property of defect. Numerical simulations and processing of actual data verified that the inversion imaging results are visualized, reliable and practical.

关 键 词：混凝土无损检测 探地雷达 反演成像 MAXWELL方程 同伦优化方法 

分 类 号：P631[天文地球—地质矿产勘探]