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联合Weibull函数与Kalman滤波的关闭煤矿区地表抬升InSAR预测

Ground surface uplift prediction of abandoned coal mines from InSAR observations using Weibull function and Kalman filter

  • 摘要: 针对关闭煤矿区因地下水位回弹导致地表抬升、威胁基础设施安全的问题, 提出了一种无需依赖地下水位与地质采矿现场实测资料的地表抬升预测新方法。该方法基于有效应力原理揭示的地表抬升“S”型增长规律, 联合Weibull函数与Kalman滤波构建预测模型, 以Weibull函数拟合长期主趋势, 利用卡尔曼滤波动态融合时序InSAR监测数据以捕捉实际波动。在辽宁省北票市冠山、台吉关闭矿井的实证研究表明, 该方法预测结果与水准测量数据的平均偏差仅为−1.2 mm, 平均标准偏差为2.9 mm, 总体预测精度达到约3 mm, 显著验证了模型的有效性与可靠性。通过InSAR历史形变数据与所提模型的结合, 能够突破传统方法对实地监测数据的依赖, 实现对关闭矿区地表抬升过程的精准预测。该研究不仅为矿山地表形变机制分析提供了新的方法视角, 更直接为矿区土地复垦规划、基础设施风险防控提供了高效可靠的技术支撑, 具有重要的理论创新意义与工程应用价值。

     

    Abstract: Ground uplift caused by groundwater rebound in closed coal mining areas threats infrastructure safety. We proposes a novel method for predicting surface uplift that does not rely on in-situ measurements of groundwater levels or geological/mining data. The method is based on the characteristic 'S'-type growth pattern of surface uplift revealed by the principle of effective stress. The Weibull function and the Kalman filter are integrated for prediction model development. The Weibull function captures the long-term main trend, while the Kalman filter dynamically assimilates time-series InSAR monitoring data to account for actual fluctuations. An empirical study conducted at the closed Guanshan and Taiji mines in Beipiao City, Liaoning Province, is sued to validate the proposed model. The prediction shows an average deviation of only −1.2 mm and an average standard deviation of 2.9 mm when compared to leveling survey data, achieving an overall prediction accuracy of approximately 3 mm. By combining historical InSAR deformation data with the proposed model, this approach overcomes the dependency of traditional methods on field monitoring data, enabling accurate prediction of the surface uplift process in closed mining areas. This research not only provides a new methodological perspective for analyzing the mechanisms of mining-induced surface deformation but also offers efficient and reliable technical support directly applicable to land reclamation planning, infrastructure risk prevention and control in mining regions.

     

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