基于多重分形理论的工作面煤与瓦斯突出预测

发布时间：2018-03-22 05:38

本文选题：煤与瓦斯突出　切入点：瓦斯涌出量　出处：《辽宁工程技术大学学报(自然科学版)》2017年09期 　论文类型：期刊论文

【摘要】：为对工作面煤与瓦斯突出进行高效准确的预测,采用多重分形理论分析的方法,对瓦斯涌出时间序列进行研究.绘制了分配函数和划分尺度之间的双对数曲线,计算了广义分形维数D_q、奇异指数α、多重分形谱f(α),分析了k_0、?α、?f(α)在不同时间段的变化规律,从不同角度反应瓦斯涌出量的非均匀质特征.研究结果表明:无论是q0时还是q0时所有ε区间上的分配函数和划分尺度之间的双对数曲线都是直线,瓦斯涌出量时间序列具有多重分形特征,在较大测度内满足标度不变性.多重分形参数k0、?α、|?f(α)|在一般情况会不断小幅度的变化但都趋于稳定,在快接近煤与瓦斯突出发生时间点时显著大于正常水平.它们之间有很好的相关性,可以共同对煤与瓦斯突出进行预测.
[Abstract]:In order to predict coal and gas outburst efficiently and accurately, the time series of gas emission is studied by multifractal theory. The double logarithmic curve between distribution function and partition scale is drawn. The generalized fractal dimension DQ, singular exponent 伪, multifractal spectrum f (伪) are calculated. Alpha? The variation of f (伪) in different time periods, The inhomogeneous characteristics of gas emission are reflected from different angles. The results show that the double logarithmic curves between distribution functions and partition scales on all 蔚 intervals are straight lines, both at Q 0 and Q 0. The time series of gas emission is multifractal, which satisfies the scale invariance in larger measure. A,? In general, f (a) will change by a small margin but tend to be stable, and it is obviously larger than the normal level when the coal and gas outburst occur close to the time point. There is a good correlation between them, and it can be used to predict the coal and gas outburst together.
【作者单位】：辽宁工程技术大学安全科学与工程学院;辽宁工程技术大学矿业学院;
【基金】：辽宁省教育厅创新团队项目(LT2012009) 国家自然科学基金(51174108)
【分类号】：TD713

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