气体流动可分为连续流、滑流、过渡流、自由分子流,为研究不同流动机制下的煤层瓦斯流动规律,在充分考虑了不同扩散机制和滑移边界条件后,建立了适用于不同流动机制的煤层瓦斯流动方程,深入分析了视渗透率和达西渗透率的比值随Knudsen数的变化关系。研究结果表明:所提出的煤层瓦斯流动方程能准确描述包括达西流、滑流、自由分子流、过渡流在内的气体流动行为。瓦斯气体在煤层孔隙、裂隙中流动过程中浓度扩散和粘性流同时存在,当Kn〈0.01时,粘性流起主导作用,瓦斯流动满足渗流方程;当Kn〉10时,浓度扩散起主导作用,瓦斯流动符合扩散方程;在Kn的其他范围内,煤层孔隙裂隙中瓦斯流动以滑流、过渡流为主,在对之进行评价时应同时考虑扩散项和渗流项。研究结果可为揭示煤层瓦斯流动机理、提高煤层瓦斯抽采率和煤层气的产量预测准确度提供新方法和新途径。
The gas flow can be divided into continuous flow,slip flow,transition flow and free molecular flow. In order to investigate the flow laws of coal seam gas under different flow mechanisms,a flow equation of coal seam gas being suitable for different flow mechanisms was established with fully considering different diffusion mechanisms and slip boundary conditions,and the change relationship between the ratio of apparent permeability to Darcy permeability and Knudsen number was analyzed deeply. The results showed that the proposed equation can accurately describe the gas flow behaviors including Darcy flow,slip flow,free molecular flow and transition flow. In the flow process of gas in pores and cracks of coal seam,the concentration diffusion and viscous flow exist simultaneously. If Knudsen number is less than 0. 01,the viscous flow plays a leading role,and the gas flow meets the seepage equation. If Knudsen number is larger than 10,the concentration diffusion plays a leading role,and the gas flow fits the diffusion equation. In other cases,the gas flow in pores and cracks of coal seam is mainly on slip flow and transition flow,and the diffusion term and seepage term should be taken into account simultaneously when conducting evaluation. It can provide new method and new way for uncovering the flow mechanism,improving the drainage rate and the prediction accuracy on output of coal seam gas.