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中文摘要：
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。
英文摘要：
We point out two problems on the existing waveform inversion methods of GPR data in stratified media. They are the problem-solving methods with high time-complexity and the error analysis function with poor convergence. To solve these problems,we propose a novel waveform inversion method with first reaching time restrictions. The proposed waveform inversion method uses the first reaching time of echo signals located in the interface of adjacent medium as a priori information. It can effectively ensure the convergence and speed up the calculation. The experimental results show that the proposed waveform inversion method can identify the geoelectric structure thickness and permittivity parameters,which can be applied on the stratified media reconstruction of GPR data. Besides,it has advantages of low time complexity and inversion results with high precision.
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