采动地表下沉时间序列的曲线拟合研究
Study on time series fitting curves for coal mining-induced surface subsidence
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摘要: 基于煤层开采地表下沉的时间过程为先加速后减速的变速运动的特征，提出了一种适合采动地表下沉时间序列曲线的拟合函数，分析了该函数中的拟合参数b和c对曲线形态、下沉速度和加速度的影响规律。用1stOpt 1.5软件编制计算程序，拟合了实测的煤层开采引起的地表下沉时间序列曲线，并与其他3种类型的拟合函数进行了对比分析。研究结果表明：提出的拟合函数的数学公式简单、参数数量适中，从下沉曲线形态，下沉速度和加速度3个方面均符合煤层开采地表下沉的动态过程。该拟合函数对实测曲线的拟合精度高，拟合的相关系数为0.996 8，用该拟合函数预测的最大下沉量468.7 mm、计算出的最大下沉速度为0.325 mm/d，对应的时间594.3 d，均与实测值接近。Abstract: A fitting function suitable for surface subsidence time series curve is proposed based on the characteristics of the variable speed of the surface subsidence after coal seam mining. The influence of fitting parameters b and c on curve shape, subsidence velocity and acceleration are analyzed. The calculation program was compiled with 1stOpt 1.5 Software, and a time series curve of surface subsidence caused by coal seam mining was measured and compared with other three types of fitting functions. The research results show that the proposed mathematical formula of the fitting function is simple and the number of parameters is moderate. From the aspects of sinking curve shape, sinking speed and sinking acceleration, it is consistent with the dynamic process of surface subsidence in coal seam mining. The fitting function has high fitting precision to the measured curves, and the correlation coefficient of the fitting is 0.9968. The maximum sinking amount predicted by the fitting function is 468.7 mm, and the calculated maximum sinking speed is 0.325 mm/d, and the corresponding time is 594.3 d, which are all close to the measured value.
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Keywords:
- surface subsidence /
- time series /
- curve fitting /
- fitting function
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期刊类型引用(2)
1. 魏建平，蔡玉波，刘勇，余大炀，黄逸，李兴，高梦雅. 非刀具破岩理论与技术研究进展与趋势. 煤炭学报. 2024(02): 801-832 . 
百度学术
2. 赵景林，王志强，王进君，张东东，李国锋. 基于Kriging模型的水中放电沉积能量优化分析. 强激光与粒子束. 2023(03): 149-158 . 百度学术
其他类型引用(2)
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