开采沉陷动态下沉模型及其参数研究
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摘要
针对Knothe时间函数在描述动态下沉过程中下沉速度的不足,采用改进的双参数Knothe时间函数建立动态下沉模型,其中的覆岩岩性决定系数c及幂指数k值采用最小二乘法求解,最大下沉值W0通过地表移动观测站实测资料确定。采用拟合决定系数R2评定精度,以淮南某矿1242(1)工作面地表移动观测站实测资料进行模型精度验证,最大下沉点MS29和ML44在各个观测时期的拟合决定系数分别为0.983 6和0.975 7,工作面推进过半时(328d)倾向和走向观测线上各监测点观测值与预计值的拟合决定系数分别0.995 3和0.958 2,计算结果表明双参数Knothe时间函数模型动态预计1242(1)工作面开采沉陷全过程精度可靠。
According to the shortage of Knothe time function of the sinking speed in describing the dynamic subsidence process,the improved two-parameter Knothe time function was adopted to establish the dynamic subsidence model,where the decision coefficient c of overburden rocks and exponent k value were resolved by using the least square method,and the maximum subsidence of W0 was determined through the surface movement observation station by fitting the measured data; R2 coefficient evaluation precision was adopted and applied in a mine in Huainan and in 1242( 1) working surface movement observation station data model to verify the accuracy of the model. The maximum subsidence point,MS29 and ML44 in the fitting decision coefficient of each observation period were 0. 983 6 and 0. 975 7. The fitting decision coefficients of the observation value and the expected value of each observation point in dip and strike observation line were 0. 995 3 and 0. 958 2 separately as the advancing is half( 328 d). The calculation results show that the dynamic prediction of two-parameter Knothe time function model on the whole process of mining subsidence of 1242( 1) working face is accurate and reliable.
According to the shortage of Knothe time function of the sinking speed in describing the dynamic subsidence process,the improved two-parameter Knothe time function was adopted to establish the dynamic subsidence model,where the decision coefficient c of overburden rocks and exponent k value were resolved by using the least square method,and the maximum subsidence of W0 was determined through the surface movement observation station by fitting the measured data; R2 coefficient evaluation precision was adopted and applied in a mine in Huainan and in 1242( 1) working surface movement observation station data model to verify the accuracy of the model. The maximum subsidence point,MS29 and ML44 in the fitting decision coefficient of each observation period were 0. 983 6 and 0. 975 7. The fitting decision coefficients of the observation value and the expected value of each observation point in dip and strike observation line were 0. 995 3 and 0. 958 2 separately as the advancing is half( 328 d). The calculation results show that the dynamic prediction of two-parameter Knothe time function model on the whole process of mining subsidence of 1242( 1) working face is accurate and reliable.
引文
[1]张兵,崔希民,胡青峰.开采沉陷动态预计的正态分布时间函数模型研究[J].煤炭科学技术,2016(4):140-145.Zhang Bing,Cui Ximin,Hu Qingfeng.Study on normal distributed time function model to dynamically predict mining subsidence[J].Coal Science and Technology,2016(4):140-145.
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[7]李德海,许国胜,余华中.厚松散层煤层开采地表动态移动变形特征研究[J].煤炭科学技术,2014(7):103-106.Li Dehai,Xu Guosheng,Yu Huazhong.Study on the features surface dynamic movement and deformation caused by coal mining under thick alluvium[J].Coal Science and Technology,2014(7):103-106.
[8]郭增长,谢和平,王金庄.极不充分开采地表移动和变形预计的概率密度函数法[J].煤炭学报,2004(2):155-158.Guo Zengzhang,Xie Heping,Wang Jinzhuang.Applying probability distribution density function to predict the surface subsidence caused by subcritical extraction[J].Journal of China Coal Society,2004(2):155-158.
[9]王军保,刘新荣,刘小军.开采沉陷动态预测模型[J].煤炭学报,2015(3):516-521.Wang Junbao,Liu Xinrong,Liu Xiaojun.Dynamic prediction model for mining subsidence[J].Journal of China Coal Society,2015(3):516-521.
[10]李德海.覆岩岩性对地表移动过程时间影响参数的影响[J].岩石力学与工程学报,2004,23(22):3780-3784.Li Dehai.Influence of cover rock characteristics on time influencing parameters in process of surface movement[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(22):3780-3784.
[11]何国清,杨伦,凌赓娣,等.矿山开采沉陷学[M].徐州:中国矿业大学出版社,1995.He Guoqing,Yang Lun,Ling Gengdi,etc.Mining Subsidence Theory[M].Xuzhou:China University of Mining and Technology Press,1995.
[12]Gonzalez-Nicieza C,Alvarez-Fernandez M I,Menendez-Diaz A,et al.The influence of time on subsidence in the Central Asturian Coalfield[J].Bulletin of Engineering Geology and the Environment,2007,66(3):319-329.
[13]Knothe S.Proynozowanie Wplywow Eksploatacji Girniczej[M].Wyd Slask Katowice:Katowice Polska,1984:59-69.
[14]刘玉成,曹树刚,刘延保.改进的Konthe地表沉陷时间函数模型[J].测绘科学,2009(5):16-17.Liu Yucheng,Cao Shugang,Liu Yanbao.The improved Knothe time function for surface subsidence[J].Science of Surveying and mapping,2009(5):16-17.
[15]胡青峰,崔希民,康新亮,等.Knothe时间函数参数影响分析及其求参模型研究[J].采矿与安全工程学报,2014(1):122-126.Hu Qingfeng,Cui Ximin,Kang Xinliang,et al.Impact of parameter on Knothe time function and its calculation model[J].Journal of Mining&Safety Engineering,2014(1):122-126.
[16]沈震,徐良骥,刘哲,等.基于Matlab的概率积分法开采沉陷预计参数解算[J].金属矿山,2015(9):170-174.Shen Zhen,Xu Liangji,Liu Zhe,et al.Calculating on the prediction parameters of mining subsidence with probability integral method based on Matlab[J].Metal Mine,2015(9):170-174.
[2]朱广轶,沈红霞,王立国.地表动态移动变形预测函数研究[J].岩石力学与工程学报,2011(9):1889-1895.Zhu Guangyi,Shen Hongxia,Wang Liguo.Study of dynamic prediction function of surface movement and deformation[J].Chinese Journal of Rock Mechanics and Engineering,2011(9):1889-1895.
[3]彭小沾,崔希民,臧永强,等.时间函数与地表动态移动变形规律[J].北京科技大学学报,2004(4):341-344.Peng Xiaozhan,Cui Ximin,Zang Yongqiang,et al.Time function and prediction of progressive surface movements and deformations[J].Journal of University of Science and Technology Beijing,2004(4):341-344.
[4]张欣儒,刘玉婵.Knothe时间函数及其在地表动态下沉过程中的应用[J].地矿测绘,2012(3):14-16.Zhang Xinru,Liu Yuchan.The Knothe time function and their application in dynamic subsidence on the ground[J].Surveying and Mapping of Geology and Mineral Resources,2012(3):14-16.
[5]常占强,王金庄.关于地表点下沉时间函数的研究——改进的克诺特时间函数[J].岩石力学与工程学报,2003(9):1496-1499.Chang Zhanqiang,Wang Jin Zhuang.Study on time function of surface subsidence—the improved Knothe time function[J].Chinese Journal of Rock Mechanics and Engineering,2003(9):1496-1499.
[6]张兵,崔希民.开采沉陷动态预计的分段Knothe时间函数模型优化[J].岩土力学,2017(2):541-548.Zhang Bing,Cui Ximin.Optimization of segmented Knothe time function model for dynamic prediction of mining subsidence[J].Rock and Soil Mechanics,2017(2):541-548.
[7]李德海,许国胜,余华中.厚松散层煤层开采地表动态移动变形特征研究[J].煤炭科学技术,2014(7):103-106.Li Dehai,Xu Guosheng,Yu Huazhong.Study on the features surface dynamic movement and deformation caused by coal mining under thick alluvium[J].Coal Science and Technology,2014(7):103-106.
[8]郭增长,谢和平,王金庄.极不充分开采地表移动和变形预计的概率密度函数法[J].煤炭学报,2004(2):155-158.Guo Zengzhang,Xie Heping,Wang Jinzhuang.Applying probability distribution density function to predict the surface subsidence caused by subcritical extraction[J].Journal of China Coal Society,2004(2):155-158.
[9]王军保,刘新荣,刘小军.开采沉陷动态预测模型[J].煤炭学报,2015(3):516-521.Wang Junbao,Liu Xinrong,Liu Xiaojun.Dynamic prediction model for mining subsidence[J].Journal of China Coal Society,2015(3):516-521.
[10]李德海.覆岩岩性对地表移动过程时间影响参数的影响[J].岩石力学与工程学报,2004,23(22):3780-3784.Li Dehai.Influence of cover rock characteristics on time influencing parameters in process of surface movement[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(22):3780-3784.
[11]何国清,杨伦,凌赓娣,等.矿山开采沉陷学[M].徐州:中国矿业大学出版社,1995.He Guoqing,Yang Lun,Ling Gengdi,etc.Mining Subsidence Theory[M].Xuzhou:China University of Mining and Technology Press,1995.
[12]Gonzalez-Nicieza C,Alvarez-Fernandez M I,Menendez-Diaz A,et al.The influence of time on subsidence in the Central Asturian Coalfield[J].Bulletin of Engineering Geology and the Environment,2007,66(3):319-329.
[13]Knothe S.Proynozowanie Wplywow Eksploatacji Girniczej[M].Wyd Slask Katowice:Katowice Polska,1984:59-69.
[14]刘玉成,曹树刚,刘延保.改进的Konthe地表沉陷时间函数模型[J].测绘科学,2009(5):16-17.Liu Yucheng,Cao Shugang,Liu Yanbao.The improved Knothe time function for surface subsidence[J].Science of Surveying and mapping,2009(5):16-17.
[15]胡青峰,崔希民,康新亮,等.Knothe时间函数参数影响分析及其求参模型研究[J].采矿与安全工程学报,2014(1):122-126.Hu Qingfeng,Cui Ximin,Kang Xinliang,et al.Impact of parameter on Knothe time function and its calculation model[J].Journal of Mining&Safety Engineering,2014(1):122-126.
[16]沈震,徐良骥,刘哲,等.基于Matlab的概率积分法开采沉陷预计参数解算[J].金属矿山,2015(9):170-174.Shen Zhen,Xu Liangji,Liu Zhe,et al.Calculating on the prediction parameters of mining subsidence with probability integral method based on Matlab[J].Metal Mine,2015(9):170-174.