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采用现有的方法对层状构造探地雷达数据进行波形反演时,存在两个难题:问题求解过程时间复杂度高和误差分析函数收敛性差。为了解决这些问题,提出一种基于首达时约束的波形反演方法,该方法以各层介质分界面处对应的回波信号的首达时为先验信息,以降低算法求解过程的复杂度,并保证误差分析函数的收敛性。实验结果表明:针对层状构造反演问题,改进后的波形反演方法能有效重建出各层介质的厚度和介电常数信息;同时,该方法还具有时间复杂度低和反演结果精度高等优点。
There are two problems when using the existing methods to inverse the waveform data of the GPR data: high time complexity of the problem solving process and poor convergence of the error analysis function. In order to solve these problems, this paper proposes a waveform inversion method based on the first-arrival constraint. The method takes prior information of the corresponding echo signals at the interface of each layer as prior information to reduce the complexity of the algorithm solving process , And ensure the convergence of error analysis function. The experimental results show that the improved waveform inversion method can effectively reconstruct the thickness and dielectric constant information of each layer for the inversion of layered structure. At the same time, the method also has the advantages of low time complexity and high accuracy of inversion results advantage.