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中文摘要：
基于放顶煤开采中顶煤渗透率对工作面安全生产的重要性，对煤壁前方极限平衡区内顶煤渗透率的变化规律进行了研究。应用损伤力学和数理统计方法对顶煤垂直和水平应变进行了研究分析，并建立了数学模型。以甲烷气体为渗流体，应用自制三轴实验机对煤样体积应变与渗透率的关系进行了试验研究，并利用多项式拟合方法对试验结果进行了分段拟合。结果表明：根据所建立的顶煤应变计算模型，可以求出综放顶煤内任意点的体积应变，且顶煤的水平应变与其距底板的高度无关。依据试验及拟合所得到的煤体体积应变与渗透率的函数关系，可以求得顶煤内任意点渗透率。最后对计算模型进行了实践检验。
英文摘要：
In view of the importance of the permeability of top coal to the safety of the working face of fully mechanized caving mining,the variation of the permeability of top coal is studied and analyzed in the limit equilibrium zone.Vertical and horizontal strains are determined through damage mechanics and mathematical statistics with a mathematical model.The relationship between the volume strain and the permeability of coal is determined with the method of the triaxial compression test.The fluid used in experimentation is methane.The piecewise fitting is used to analyze the experimental data.The results show that according to the mathematical model for the volume strain,the volume strain at any point of top coal can be obtained.The horizontal strain of top coal is not related with the distance from the calculated point to the coal floor.The permeability at any point of top coal can be obtained from the relationship between the volume strain and the permeability.The relationship is obtained through test and fitting.The computing model is checked in practice.
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