基于R/S分析的矿井涌水量分形特性研究

R/S Analysis of Water Yield of Mine Discharge Based on Fractal Theory

为研究受多重因素影响的矿井涌水量特性,利用重标极差(R/S)分析法对千秋煤矿矿井涌水量时间序列进行了分形特性研究。求得矿区及各采区涌水量Hurst指数为0.89~0.98,分形维数1.02~1.12,对应时间序列的有效关联长度10^(4.61)~10^(5.35)。结果表明:千秋煤矿矿井涌水量序列具有非常显著的分形特性,且涌水量上升趋势明显,矿区总涌水量和采区涌水量的内在联系在分形特性上也有一定体现,为研究受多重因素影响的矿井涌水量时间序列提供了新思路,同时也为矿井涌水的研究与治理增加了理论实证。

To study the complex characteristics of water yield of mine affected by multiple factors,the Rescaled Range（R/S） A nalysis method was applied to fractal study on the time sequence of water yield of mine of Qianaqiu coal mine. The results showed that the Hurst index of mining area distributes from 0.89 to 0.98, fractal dimension distributes from 1.02 to 1.12, corresponding to the effective related length value distributes from 10^4.61 to 10^5.35. The results showed that the time sequence of water yield of mine of Qianqiu coal mine has obvious fractal features, and the upward trend of water yield of mine is obvious. The in ternal relation between the total water yield of mine and the water yield of mine of mining area has a certain expression in the fractal features. This provides a new idea for the study of water yield of mine affected by multiple factors of the water yield of mine time sequence, and also for the study and governance of water yield of mine provides a theoretical demonstration.