基于对数正态分布的井下疏放水钻孔水量分析
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摘要
为了研究煤矿井下疏放水钻孔水量的分布规律,利用直方图、Q-Q图和非参数检验法对典型工作面疏放水钻孔水量进行了对数正态分布模型的检验,并进行了非线性回归模型的拟合,结合工作面水文地质条件,对模型中的参数进行了分析。结果表明:工作面井下疏放水钻孔水量服从对数正态分布,模型中典型工作面疏放水钻孔水量对数的均值和标准差与所属井田含水层单位涌水量的均值和标准差呈线性相关,分布曲线中的偏度和峰度主要受顶板含水层富水性及其均一程度控制,同井田内相邻多工作面疏放水钻孔水量也服从对数正态分布。研究成果可以为顶板水疏放钻孔和排水系统的设计提供参考。
In order to analyze the distribution rule of water flow from underground drainage borehole in coal mines, histogram, Q-Q chart and nonparametric tests were used to test the logarithmic normal distribution model for water flow from underground drainage borehole in typical working face, and the nonlinear regression model was fitted. Combined with hydrogeological conditions, the parameters in the model were analyzed. The result shows that water flow from underground drainage boreholes in working face obeys the lognormal distritution.The logarithmic mean and standard deviation of water flow from drainage borehole of typical working face have a positive linear dependence relation with mean and standard deviation of aquifer specific field of the corresponding coal field. The skewness and kurkosis of distribution curve are mainly controlled by the water abundence and its degree of uniformity of the roof quifer. The water flow from drainage borehole of adjacend multi-working faces also obeys the lognormal distribution. The research results will provide reference for the design of drainage borehole and drainage system.
In order to analyze the distribution rule of water flow from underground drainage borehole in coal mines, histogram, Q-Q chart and nonparametric tests were used to test the logarithmic normal distribution model for water flow from underground drainage borehole in typical working face, and the nonlinear regression model was fitted. Combined with hydrogeological conditions, the parameters in the model were analyzed. The result shows that water flow from underground drainage boreholes in working face obeys the lognormal distritution.The logarithmic mean and standard deviation of water flow from drainage borehole of typical working face have a positive linear dependence relation with mean and standard deviation of aquifer specific field of the corresponding coal field. The skewness and kurkosis of distribution curve are mainly controlled by the water abundence and its degree of uniformity of the roof quifer. The water flow from drainage borehole of adjacend multi-working faces also obeys the lognormal distribution. The research results will provide reference for the design of drainage borehole and drainage system.
引文
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[12]武强,许珂,张维.再论煤层顶板涌(突)水危险性预测评价的“三图-双预测法”[J].煤炭学报,2016,41(6):1341-1347.WU Qiang,XU Ke,ZHANG Wei.Further research on“three maps-two predictions”method for prediction on coal seam roof water bursting risk[J].Journal of China Coal Society,2016,41(6):1341-1347.
[13]毛国敏,吴何珍,生冬梅.期刊论文下载次数的概率密度服从对数正态分布[J].辽宁师专学报,2017,19(3):100-105.MAO Guomin,WU Hezhen,SHENG Dongmei.Probability density of downloaded times for periodical articles obey log-normal distribution[J].Journal of Liaoning Teachers College,2017,19(3):100-105.
[14]盛骤,谢式千,潘承毅.概率论与数理统计:第4版[M].北京:高等教育出版社,2010.
[15]薛薇.SPSS统计分析方法及应用:第4版[M].北京:电子工业出版社,2017.
[2]陈实,董书宁,李竞生,等.煤矿工作面顶板倾斜钻孔疏放水井流计算方法[J].煤炭学报,2016,41(6):1517-1523.CHEN Shi,DONG Shuning,LI Jingsheng,et al.Analytical solution for slanted well in the roof of coal mine working face[J].Journal of China Coal Society,2016,41(6):1517-1523.
[3]虎维岳,周建军.煤矿水害防治技术工作中几个易混淆概念的分析[J].煤炭科学技术,2017,45(8):60-65.HU Weiyue,ZHOU Jianjun.Discussion on some confused key concepts used in mine water disaster control and prevention[J].Coal Science and Technology,2017,45(8):60-65.
[4]刘英锋,郭小铭.导水裂缝带部分波及顶板含水层条件下涌水量预测[J].煤田地质与勘探,2016,44(5):97-101.LIU Yingfeng,GUO Xiaoming.Prediction of water inflow in roof aquifer by water-flowing fracture zone[J].Coal Geology&Exploration,2016,44(5):97-101.
[5]李超峰,虎维岳.回采工作面顶板复合含水层涌水量时空组成及过程预测方法[J].水文地质工程地质,2018,45(3):1-13.LI Chaofeng,HU Weiyue.Prediction method of mine water inflow regime from a layered extra-thick aquifer[J].Hydrogeology&Engineering Geology,2018,45(3):1-13.
[6]邸春生,丁湘,黄浩.深埋侏罗系煤层顶板水探放技术实践:以呼吉尔特矿区葫芦素矿井为例[J].煤田地质与勘探,2016,44(6):96-100.DI Chunsheng,DING Xiang,HUANG Hao.Practice of exploration and discharge technology of roof water in deep Jurassic coal seam:With Hulusu coal mine in Hujiert mine area as example[J].Coal Geology&Exploration,2016,44(6):96-100.
[7]洪益青,祁和刚,丁湘,等.蒙陕矿区深部侏罗纪煤田顶板水害防控技术现状与展望[J].中国煤炭地质,2017,29(12):55-62.HONG Yiqing,QI Hegang,DING Xiang,et al.Status and prospect of Jurassic coalfield deep part roof water hazard control technology in Inner Mongolia and Shaanxi mining area[J].Coal Geology of China,2017,29(12):55-62.
[8]赵宝峰,马莲净.基于多含水层放水试验的顶板水可疏降性评价[J].煤炭工程,2018,50(3):71-74.ZHAO Baofeng,MA Lianjing.Drainage feasibility of water from coal roof based on dewatering test of multi-aquifer[J].Coal Engeering,2018,50(3):71-74.
[9]宋业杰.顶板含水层采前预疏降安全水位确定方法及应用[J].煤炭科学技术,2017,45(3):161-165.SONG Yejie.Method to determine pre-drainage and safety water level in aquifer of roof before mining operation[J].Coal Science and Technology,2017,45(3):161-165.
[10]赵宝峰.基于AHP-物元可拓模型的顶板水疏放程度评价[J].煤田地质与勘探,2017,45(3):82-86.ZHAO Baofeng.Evaluation on drainage degree in roof based on AHP-matter element extension model[J].Coal Geology&Exploration,2017,45(3):82-86.
[11]徐会军,赵宝峰,周勇,等.基于熵权物元可拓模型的工作面顶板水害评价[J].采矿与安全工程学报,2018,35(1):112-117.XU Huijun,ZHAO Baofeng,ZHOU Yong,et al.Evaluation on water disaster from roof strata based on the entropy-weight and matter-element extension model[J].Journal of Mining&Safety Engineering,2018,35(1):112-117.
[12]武强,许珂,张维.再论煤层顶板涌(突)水危险性预测评价的“三图-双预测法”[J].煤炭学报,2016,41(6):1341-1347.WU Qiang,XU Ke,ZHANG Wei.Further research on“three maps-two predictions”method for prediction on coal seam roof water bursting risk[J].Journal of China Coal Society,2016,41(6):1341-1347.
[13]毛国敏,吴何珍,生冬梅.期刊论文下载次数的概率密度服从对数正态分布[J].辽宁师专学报,2017,19(3):100-105.MAO Guomin,WU Hezhen,SHENG Dongmei.Probability density of downloaded times for periodical articles obey log-normal distribution[J].Journal of Liaoning Teachers College,2017,19(3):100-105.
[14]盛骤,谢式千,潘承毅.概率论与数理统计:第4版[M].北京:高等教育出版社,2010.
[15]薛薇.SPSS统计分析方法及应用:第4版[M].北京:电子工业出版社,2017.