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对纳微米级孔隙多孔介质内的气体流动进行了研究.利用克努森数划分流态,绘制了流态图版,阐明了不同区域的流动特征.基于Beskok--Karniadakis模型,对渗透率校正系数进行了改进,引入多项式修正系数,将Beskok--Karniadakis模型简化为二项式方程,并利用最小二乘法分段拟合得出多项式修正系数的取值.模型对比显示,简化后的模型具有较高的精确度.应用此模型推导出了纳微米级孔隙气体流量的计算公式.进行了室内微观渗流模拟实验,得到气体平面单向渗流规律,与由纳微米级孔隙气体流量公式计算所得渗流特征进行对比,结果显示本模型与实验数据拟合较好.采用本模型进行编程计算,对其影响因素进行分析,发现气体流量随压力平方差增加而增大,且增加趋势越来越快,并随多孔介质渗透率和克努森扩散系数的增加而增大.
The gas flow in nanometer micron pore porous media was studied.Using Knudsen number to divide the flow pattern, the fluid plate was drawn to illustrate the flow characteristics in different regions.Based on the Beskok - Karniadakis model, the permeability correction coefficient The polynomial correction coefficient is introduced, the Beskok - Karniadakis model is simplified to a binomial equation, and the value of the polynomial correction coefficient is obtained by piecewise fitting by the least square method.The model comparison shows that the simplified model has more High accuracy.The formula of pore gas flow rate at nanometer micron level was deduced by using this model.Micro-percolation simulation experiments were carried out in laboratory to obtain the one-way gas flow percolation law and the seepage characteristics calculated by nanometer micron pore gas flow rate formula The results show that the model fits well with the experimental data.Using this model to carry out programming calculation and analyze its influencing factors, it is found that the gas flow rate increases with the increase of pressure squared error, and the increasing trend is faster and faster With the increase of porous media permeability and Knudsen diffusion coefficient.