非固结多孔介质突破压力的逾渗模型

Percolation model for breakthrough pressure in unconsolidated porous media

为了揭示流体在多孔介质内的多相流动与驱替过程的机理 ,根据逾渗理论提出了突破压力的概率模型 ,运用重整化方法求解了简单立方体孔隙拓扑结构和一定孔隙尺寸分布下的三维网络发生“突破”时的临界概率 ,以确定多孔介质的突破压力与多孔介质孔隙率、渗透率、流体物性和临界概率的函数关系。理论预测结果与窄筛分砂的突破压力实验结果相一致。研究结果还表明 。

The multiphase flow and displacement in porous media were analyzed using a probability model for the breakthrough pressure based on percolation theory. A critical probability at the geometrical phase change point for a simple cubic pore network of pore channels was found using the renormalization method. The breakthrough pressure was then related to the fluid surface tension and the porous media permeability and porosity. Theoretical predictions for the breakthrough pressure of narrow screened sands agree well with the experimental results. The results demonstrate that the breakthrough phenomenon depends on the media coordination number.