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联合DInSAR的3种下沉时序模型关键点缺失问题研究

Research on key points deficiency of three subsidence time series models combined with DInSAR technology

  • 摘要: 针对难以全面研究沉陷区下沉变形的动态过程和单一监测手段可能会错失地表沉降阶段某些关键点的问题,以局部地表单点为切入点,联合InSAR与水准数据分别建立幂指数Knothe时间模型、Logistic模型和Weibull模型,进而研究矿区地表动态沉降规律。通过模拟数据分析了沉陷区地表观测点下沉变形特征以及影响上述3种时间函数曲线拟合的各因素;并以淮北袁二煤矿某采区为试验区,采用合成孔径雷达差分干涉测量(DInSAR)技术获得各水准点InSAR时序形变值;最终联合InSAR和水准监测数据,对比分析基于多源或单一监测方式2种情况下3种模型拟合曲线的不同。试验结果表明:①各时间序列模型地表下沉待估参数的大小对曲线拟合形态有较大影响,保证一定的监测周期,可反演出合适的下沉参数,才能更准确地拟合沉陷区观测点下沉时间序列,均方根误差最大可提高95.56%。②幂指数Knothe时间模型、Logistic模型和Weibull模型随时间序列变化的过程与地表沉陷区观测点物理下沉时序过程相符,均能较好地由地表单点下沉时间序列拟合出沉降曲线;3种模型虽下沉曲线拟合效果差异不大,但下沉速度曲线的拟合有明显差异且拟合精度均有所提高,可见联合InSAR和水准测量的沉降时间序列对矿区地表动态沉降进行拟合有明显优势。③基于多源数据拟合的3种时间函数模型相较于仅基于单一水准数据的可靠性更高,对各模型的下沉曲线形态具有较好的收敛作用。

     

    Abstract: In view of the problem that it is difficult to comprehensively study the dynamic process of deformation in subsidence area and some key points may be missed by single monitoring method in the stage of surface subsidence,exponent Knothe model, Logistic model and Weibull model were established respectively bycombining InSAR and leveling data ofsurface single point to analyze the dynamic subsidence law in mining area. The detailed steps can be described as follows. Firstly, the deformation characteristics of surface observation points in subsidence area and the factors affecting the fitting of the above three time function curves were analyzed by simulation data. Then, taking a mining area of Yuaner coal mine in Huaibei as an experimental zone, the deformation valuestime series of InSAR at each benchmark were obtained by differential synthetic aperture radar interferometry (DInSAR) technology. Finally, the InSAR and leveling monitoring data were combined to compare and analyze the difference of the fitting curves of the three models based on the multi-source or single moni〖LM〗toring method. The test results show that:① The parameters to be estimated for the surface subsidence of each time series model have a great influence on the curve fitting shape.Only by ensuring a certain monitoring period and inverting the appropriate subsidence parameters can the subsidence be fitted more accurately. For the subsidence time series of observation points in the area, the root mean square error can be increased by up to 95.56%. ② The changing process of the power exponent Knothe time model, Logistic model and Weibull model changing with time series is consistent with the time series process of the physical subsidence of the observation points in the surface subsidence area. Although the three models have little difference in the fitting effect of subsidence curve, there are obvious differences in the fitting of subsidence velocity curve and the fitting accuracy has been improved. It can be seen that the settlement time series combined with InSAR and leveling has the advantages in the fitting method of the dynamic settlement of the mining area surface. ③ The fitting three models based on multi-source measurement are more reliable than those based on single leveling data, and have a better convergence effect on the subsidence curve about each model.

     

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