逾渗集团中的粘滞指进

The Viscous Fingering in Percolation Cluster

构造了具有不同占据概率的逾渗集团．在逾渗集团中，认为喉道半径服从贝塔分布，采用超松弛技术，模拟了逾渗集团中的粘滞指进．获得了粘滞指进分维的一个普适公式，结果表明，增加逾渗概率，降低粘滞比可增加指进的分维，提高采收率．在粘滞比M→∞的情形下，指进的分维和DAL的结果吻合．孔隙介质的几何拓扑很强地影响驱替过程和粘滞指进的结构．此外，驱扫效率主要依赖网格的尺寸和粘滞比．

The percolation clusters with various occupying probability are constructed. Viscousfingering (VF) in the percolation cluster is investigated by means of successive over-relaxation techniquebased on the assumption that bond radii are beta distribution. A universal formalism of fractaldimension D for VF i4the percolation cluster is introduced. The result shows that it can increase fractaldimension D of VF and oil recoveries while increase percolation probability or reduce viscous ratio. VF'sfractal dimension of porous media in the limit M (viscosity ratio)→∞ is found to be identical with theDLA. It is found that the topology and the geometry of the porous medium have strong effect on thedisplacement processes and the structure of the VF. Moreover, it is seen that the sweep efficiency ofthe displacement processes mainly depends upon the length of the network system and the viscosityratio M.