工作面瓦斯涌出量时间序列分形特性研究

摘要

According to the complicated non-liner features combined by the time sequence determinacy and randomness of the gas emission value from the drilling and blasting coal mining face,the R/S analysis method was applied to the study on the fractal features of the gas emission time sequence.Based on the R/S basic principle,the long-range related features of the gas emission time sequence was analyzed and the calculation method of the effective related length was provided.Then under the MATLAB2009b environment,the algorithm program was realized and was approved by the application of two noise sequences.Finally,three gas outbursts time sequences and two outburst not occurred time sequences of No.1113 coal mining face in Hebi No.10 Mine were analyzed.The results showed that whether the outburst occurred or the outburst not occurred,the Hurst index value all would be over 0.5 and thus the gas emission value of the coal mining face would have positive related features.When the outburst not occurred,the positive related features would be higher than the outburst occurred and the effective related length value would be higher than the outburst occurred.%针对炮采工作面瓦斯涌出量时间序列确定性与随机性相结合的复杂非线性特性,利用R/S分析法对瓦斯涌出量时间序列的分形特性进行了研究。根据R/S基本原理,对瓦斯涌出时间序列的长程相关特性进行了分析,并计算出其有效关联长度。其次在MATLAB2009b环境下实现算法程序,并利用白噪声和有色噪声序列对其进行了验证。最后对鹤壁十矿1113工作面3次瓦斯突出及2次未突出的时间序列进行研究。结果表明：无论是突出时还是未突出时其Hurst指数值均大于0.5,说明工作面瓦斯涌出量具有正相关特性,未突出时正相关特性明显强于突出发生时,而且未突出时的有效关联长度值也明显大于突出时的值。