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底板突水突变机理及模型建构研究

Research on Catastrophe Mechanism and Model Construction of Floor Water Inrush

  • 摘要: 底板突水危险性的有效评价是矿山水害防治和实现安全开采的基本前提与重要基础。通过研究底板突水的突变机理,确定状态变量和主次控制变量,依据尖点突变模型建立平衡曲面方程,经坐标变换得到新坐标系下(状态变量、主次控制变量坐标系)平衡曲面方程的表达式。利用新坐标轴构建方程组求解平衡曲面方程的系数和新坐标系原点的位置,利用已知突水点信息验证求解结果的合理性。依据新坐标系下平衡曲面方程根的判别式,建立突水风险评价模型,并对新安煤矿二1煤底板突水风险进行评价,模型拟合率为100%,评价结果真实可靠。

     

    Abstract: The effective evaluation on the roof water inrush risk is the basic prerequisite and important basis for coal mine water hazard control and safe coal mining. In this paper, the state variables and primary and secondary control variables were determined by studying the floor water inrush catastrophe mechanism, based on the cusp catastrophe model, the equilibrium surface equation was established, and the equation expressions in the new coordinates were obtained by the conversion of the coordinates (the coordinate of state variables and the coordinate of primary and secondary control variables). The equation group was constructed with the new coordinates and used to solve the coefficient of the equilibrium surface quation and the origin position of the new coordinates, and the rationality of the result was verified by using the known water inrush point information. Based on the root criterion in the new coordinates, the water inrush risk assessment model was established, with this model, the evaluation was carried on the floor water inrush risk of No.21 coal seam in Xinan Mine, and the fitting rate of the model was 100%, which proved that the evaluation results were true and relibale.

     

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