Abstract: In order to solve the problem of disease identification of ground penetrating radar images, the three-dimensional electromagnetic wave equation was solved based on the finite element method, and MATLAB code was written for numerical simulation. Based on the core sample test data of the Han-Shi Expressway pavement, a three-dimensional road real model was established, and a variety of reflective cracks with different damage degrees and shapes were also established. The propagation law of electromagnetic waves in different development stages of the reflective cracks was analyzed. The results show that as the depth of the reflection crack changes, there are significant differences in GPR images, and there is a certain linear relationship between the reflection voltage and the crack depth. The actual voltage image can be used to calculate the depth of the pavement reflection crack. The research results provide a theoretical basis for the analysis of pavement crack disease images of the Han-Shi Expressway.

Key words: highway engineering, ground penetrating radar detection profile, forward modeling of disease, reflection crack, reflection amplitude, image interpretation

摘要： 为了解决探地雷达图像的病害识别问题，基于有限元法求解三维电磁波波动方程，并编写MATLAB代码进行数值模拟，依托汉十高速路面芯样检测数据建立三维道路真实模型，并建立多种不同损伤程度、形状的反射裂缝，分析电磁波在反射裂缝不同发展阶段的传播规律。结果表明：随着反射裂缝深度的变化，探地雷达图像存在显著的差异，反射电压与裂缝深度存在一定的线性关系，通过实际电压图像可以计算路面反射裂缝的深度。研究结果为分析高速公路路面裂缝病害图像提供理论基础。

关键词: 道路工程, 探地雷达检测剖面, 病害模型正演, 反射裂缝, 反射波幅, 图像解译