基于煤体正交各向异性特征的基于煤体正交各向异性特征的气固耦合模型及应用
Gas solid coupling model based on orthogonal anisotropy characteristic of coal and its application
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摘要: 为了描述各向异性煤层与瓦斯耦合过程中的渗透演化规律，在煤体结构为正交各向异性假设的基础上，利用吸附作用下煤体变形叠加关系，建立正交各向异性渗透率方程，进一步推导出考虑煤体正交各向异性特征的气固耦合模型，利用该模型分析了九里山矿二1煤不同吸附压力下渗透率变化规律和亭南矿4#煤层钻孔倾角对抽采效果的影响。结果表明：在相同的围压下，面割理、端割理、垂直层理方向渗透率模拟结果随着瓦斯压力的增大而减小，规律与实验结果一致；渗透率模拟结果和实验结果在面割理、端割理、垂直层理方向的平均相对误差分别是2.55%、14.19%、4.26%，误差分析表明气固耦合模型合理；瓦斯抽采量随着钻孔倾角的增大而增加，在钻孔抽采设计时，增大钻孔与煤层层理面之间角度可以提高瓦斯抽采量。Abstract: In order to describe the permeability evolution law in the coupling process of anisotropic coal seam and gas, based on the assumption that the coal structure is orthogonal anisotropic, the orthogonal anisotropic permeability model was established by using the superposition relationship of coal deformation under the adsorption effect, and the gas solid coupling model considering the orthogonal anisotropic characteristics of coal was further deduced. The model was used to analyze the law of permeability under different adsorption pressures of Ⅱ1 coal seam in Jiulishan Mine and the influence of borehole dip angle of 4# coal seam in Tingnan Mine on pumping effect. The results show that under the same confining pressure, the permeability of face cleat, butt cleat and vertical bedding decreases gradually with the increase of gas pressure, which is consistent with the experimental results. The average relative errors of permeability simulation results and test results in the directions of surface cleat, butt cleat and vertical bedding are 2.55 %, 14.19 % and 4.26 %, respectively. The gas drainage volume increases with the increase of borehole dip angle. In the design of borehole drainage, increasing the angle between borehole and coal seam bedding plane can improve the gas drainage volume.
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