On the basis of basic theories of fluid dynamics, gas extraction mechanical mathematical model was built to insure a reasonable distance of the gas drainage hole and discuss the new measuring method of coal seam permeability coefficient. The model was calcutated by using Mathematica software. According to the mathematical model and its solution, deduced the theoretical formula of distance extraction and the coal layer' s gas permeability coefficient. Took the face 15051 of Jiulishan Coal Mine for example which in Jiaozuo City Henan Province, by the gas drainage trial of the coal around the excavation roadway, calculated and verified the parameters of the gas drainage hole and seam permeability, etc. Based on the measure of gas drainage quantity and sub-pressure, the relationship of them was obtained. The exact seepage gas extraction model was founded, and the model can be calculated quickly and exactly by the computer. The application is in good accordance with the actual results.%为合理确定瓦斯抽采孔孔距,探讨测定煤层透气系数新方法,在流体力学基本理论基础上,建立了瓦斯抽采数学力学模型,利用数学软件Mathematica对模型进行了求解,推导出抽采孔孔距和煤层透气系数的理论计算公式. 以河南焦作九里山煤矿15051工作面作为应用实例,通过对掘进巷道周围的煤体瓦斯进行抽采试验,求算并验证了抽采钻孔和煤层透气系数等瓦斯抽采基础参数;根据工作面2个钻场实测的抽出量和抽放负压,得出了抽出量和抽放负压的关系. 建立了精确的渗流抽采模型,利用计算机求解方法,求解的速度快且不易出错.应用结果与实际值相符.
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