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基于以往试验成果,得到煤体渗透率与其吸附气含量之间的函数关系,建立考虑吸附作用影响的煤层瓦斯非线性渗流数学模型,该模型表征的渗流阻力更清晰,物理意义更明确。达西定律是该模型的特例。在此基础上,采用数学物理方法推导考虑吸附作用的煤层瓦斯渗流方程分析解,更真实地反映了瓦斯在煤层中的运移特征。考虑吸附作用的数学模型的计算结果与试验结果吻合很好,应用该模型可为矿井瓦斯灾害的治理和煤层气资源的开发提供基础理论和依据。
Based on the past experimental results, the relationship between the permeability of coal and the content of adsorbed gas is obtained, and the mathematical model of nonlinear gas seepage in coal seam considering the influence of adsorption is established. The seepage resistance is more clear and the physical meaning is more clear. Darcy’s law is a special case of this model. On this basis, the analytic solution of gas seepage equation of coal seam considering the action of adsorption is deduced by mathematical physics method to more accurately reflect the gas migration characteristics in coal seam. The calculation results of the mathematical model considering the adsorption are in good agreement with the experimental results. The application of this model can provide the basic theory and basis for the management of mine gas disasters and the exploitation of coalbed methane resources.