基于希尔伯特-黄变换的覆土层厚度动态探测
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2022年北京市创新团队——粮食作物团队土壤评价与质量提升岗位项目(BAIC02-2022)、安徽省自然资源科技项目(2020-K-8)、淮北矿业集团科技研发项目(2022-103)和国家重点研发计划项目(2020YFC1908600)


Dynamic Detection of Overburden Thickness Based on Hilbert-Huang Transform
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    摘要:

    准确揭示动态沉降过程中土层厚度及其变化情况对合理确定覆土层厚度,科学评价复垦土体稳定性具有重要意义。通过野外试验,结合探地雷达数据,基于希尔伯特-黄变换(Hilbert-Huang transform,HHT)进行信号处理,根据希尔伯特谱确定覆土层所在的时域范围;提取由HHT获取的多个固有模态函数(Intrinsic mode function,IMF)的时间-瞬时频率信息,建立IMF2分量与相对介电常数的关系模型,进而获取覆土层厚度;将所建立的关系模型进一步应用于时间序列上的覆土层厚度的探测之中,实现覆土层厚度的动态探测。研究结果表明:覆土层下沉会引起层状介质之间的介电常数差异,进而导致分界面处的振幅变化;瞬时频率平均值与相对介电常数之间存在较高相关性,其利用多项式回归的建模决定系数R2达到0.8870;综合考虑时域下的振幅与瞬时频率变化的联合时频分析可有效探测覆土层厚度,随覆土层厚度的增加和时间的推移探测精度整体略有下降,探测结果的平均相对误差为3.65%。

    Abstract:

    Accurately revealing the thickness of soil and its changes in the process of dynamic settlement is of great significance for reasonably determining the thickness of overburden and scientifically evaluating the stability of reclaimed soil. Through field tests, combined with ground penetrating radar data, signal processing was carried out based on Hilbert-Huang transform (HHT), and the time domain range of overburden was determined according to Hilbert spectrum. Extracting the time instantaneous frequency information of multiple intrinsic mode functions (IMF) obtained by HHT, the relationship model between IMF2 component and relative dielectric constant was established, and the detection of overburden thickness was realized. The established relationship model was further applied to the detection of overburden thickness on time series, so as to realize the dynamic detection of overburden thickness. The results showed that the subsidence of overburden could cause the change of dielectric constant difference between layered media, and then cause the change of amplitude at the interface. Based on HHT method, the time-domain position of the overburden could be better obtained. In different reclamation times, the time-domain range of the overburden was in dynamic change. There was a high correlation between the average instantaneous frequency and the relative dielectric constant, and the R2 modeled by polynomial regression was 0.8870. The combined time-frequency analysis considering the amplitude and instantaneous frequency changes in the time domain can effectively detect the thickness of the overburden layer;with the increase of the thickness of overburden layer and the passage of time, the detection accuracy was decreased slightly, and the average relative error was 3.65%.

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张世文,周涛,王阳,程琦,冯志军,王维瑞.基于希尔伯特-黄变换的覆土层厚度动态探测[J].农业机械学报,2023,54(3):338-346. ZHANG Shiwen, ZHOU Tao, WANG Yang, CHENG Qi, FENG Zhijun, WANG Weirui. Dynamic Detection of Overburden Thickness Based on Hilbert-Huang Transform[J]. Transactions of the Chinese Society for Agricultural Machinery,2023,54(3):338-346.

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  • 收稿日期:2022-06-06
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  • 在线发布日期: 2023-03-10
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