基于对数正态分布的井下疏放水钻孔水量分析

Water yield analysis of underground drainage boreholes on the basis of logarithmic normal distribution

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.