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为了研究矿山微地震活动的随机特征,提出了用于描述矿山微地震活动随机特征的三个统计量:微地震能量分布率、微地震发生率和微地震空间分布率,基于概率论和数理统计原理,研究了三个统计量的概率计算方法。通过对某矿山微地震实际数据的计算发现:该矿区微地震能量分布率的概率密度曲线类似于正态分布;微地震发生率的概率密度曲线类似于泊松分布;微地震空间分布率的概率密度曲线虽然呈现多种形式,但微地震事件大部分在固定工作面前方、工作面两侧边缘和煤层顶底板位置处,反映了在岩体特性突变位置处,发生微地震的概率较大。因此利用这三个统计量及其概率密度分布特征,可以从时间-空间-能量的角度,描述矿山微地震活动特征,对矿山微地震监测技术的基础研究和应用具有一定的意义。
In order to study the stochastic characteristics of mine micro-seismic activity, three statistics are proposed to describe the stochastic characteristics of mine micro-seismic activity: the micro-seismic energy distribution rate, the micro-earthquake occurrence rate and the micro-earthquake spatial distribution rate. Based on probability theory and mathematical statistics Principle, the probability of three statistics method is studied. According to the actual microseismic data of a mine, it is found that the probability density curve of microseismic energy distribution is similar to normal distribution; the probability density curve of microseismicity is similar to Poisson distribution; the probability of microseismic spatial distribution Although the density curves show various forms, most of the microseismic events are in front of the fixed working face, the edges on both sides of the working face and the top and bottom of the coal seam, reflecting the greater probability of micro-earthquakes occurring at the sudden change of rock characteristics. Therefore, by using these three statistics and their probability density distribution characteristics, the characteristics of mine microseismic activity can be described in terms of time-space-energy, which is of great significance to the basic research and application of mine microseismic monitoring technology.