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本文从Maxwell方程组出发,给出了探地雷达时域有限差分法波动方程,介绍了UPML边界条件,推导出基于UPML边界条件探地雷达二维正演模拟的FDTD表达式,并编制了正演模拟MATLAB程序.利用该程序对典型地电模型进行正演与分析,明确了钢筋及空洞缺陷在雷达剖面图上的异常表现形式,证明了在钢筋间距为0.2m时,探地雷达能够对钢筋下存在的空洞缺陷进行探测.并把这些结论应用到福建省某水电站引水隧洞衬砌检测的实际资料解释中,有效地解答了实测资料解释中遇到的问题.
Based on Maxwell’s equations, this paper presents the time-domain finite difference wave equation of ground penetrating radar, introduces the boundary condition of UPML, and deduces the FDTD expression of two-dimensional forward modeling of ground penetrating radar based on UPML boundary conditions. Aiming to simulate MATLAB program.Using this program to forward and analyze the typical electric model, the anomalous manifestations of reinforcement and cavity defects in the radar profile are confirmed, and it is proved that GPR can detect The detection of hollow defects existing under the steel bars and the application of these conclusions to the practical data interpretation of the diversion tunnel lining inspection of a hydropower station in Fujian Province effectively solves the problems encountered in the interpretation of the measured data.