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冲击倾向性煤岩破裂中的分形维数与b值演化及预警研究

Research on the evolution and early warning of fractal dimension and b value in the fracturing process of impact-prone coal and rock

  • 摘要: 冲击地压矿井采掘扰动下煤岩体破坏特征复杂,探究分形维数和b值的科学内涵及其时空演化共性规律,对冲击地压的及时预警具有重要意义。以新疆乌东煤矿急倾斜巨厚煤层冲击地压发生为背景,对煤岩试样开展了常规加载、循环渐进加卸载和循环递归加卸载单轴压缩试验,分析了不同应力路径下煤岩试样变形破坏的力学特征,探讨了具有冲击倾向性煤岩变形破坏过程中分形维数和b值的演化共性规律及其工程应用意义,提出了双参量融合量化预警判据及基于归一化曲线下降“交叉点”的短临预报方法。结果表明:循环递归加卸载路径下,试件损伤程度较高,最终以输入较低能量后失稳破坏;循环渐进加卸载下试件在加载过程中逐渐积累能量,最终以输入较高能量后失稳破坏;煤岩临界破坏与冲击地压在时间上滞后于b值和分形维数的“降维”现象,b值和分形维数的极值与变化趋势可作为统一的前兆信息;急倾斜煤层条件下,当分形维数<0.6且连续3 d累计降幅>40%,b值<0.5且连续3 d累计降幅>20%时,应及时分析决策;临界破坏前,b值与分形维数曲线在下降趋势中出现交叉,归一化后二者的交叉点可作为预警临界值,从而为岩石破坏的短临预报提供参考。

     

    Abstract: The failure characteristics of coal and rock mass under mining and excavation disturbance in coal mines with rock burst are complex. Exploring the scientific connotations of fractal dimension and b value and their common spatio-temporal evolution laws is of great significance for the timely warning of rock burst. Taking the occurrence of rock burst in the steeply inclined thick coal seam of Wudong Coal Mine in Xinjiang as the background, uniaxial compression tests under conventional loading, cyclic progressive loading and unloading, and cyclic recursive loading and unloading were carried out on coal and rock samples. The mechanical characteristics of deformation and failure of coal and rock samples under different stress paths were analyzed. The common evolution laws of fractal dimension and b value during the deformation and failure process of coal and rock with rock burst tendency and their engineering application significance were discussed. A dual-parameter fusion quantitative warning criterion and a short-term and near-term prediction method based on the "intersection point" of the normalized curve decline were proposed. The results show that under the cyclic recursive loading and unloading path, the damage degree of the specimen is higher, and it finally fails after inputting a lower energy. Under the cyclic progressive loading and unloading, the specimen gradually accumulates energy during the loading process and finally fails after inputting a higher energy. The critical failure of coal and rock and rock burst lag behind the "dimension reduction" phenomenon of b value and fractal dimension in time. The extreme values and change trends of the b value and fractal dimension can be used as unified precursory information. Under the condition of steeply inclined coal seams, when the fractal dimension is less than 0.6 and the cumulative decline for three consecutive days is greater than 40%, and the b value is less than 0.5 and the cumulative decline for three consecutive days is greater than 20%, timely analysis and decision-making should be carried out. Before the critical failure, the curve of b value and the fractal dimension intersect in the downward trend. The intersection point of the two after normalization can be used as the warning critical value, thus providing a reference for the short-term prediction of rock failure.

     

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