In this paper,the fractal nature of Viscous fingeringin（VF） random porous media has been studied.The fluid transport is based on the deterministic method.The result shows that the topology and the geometry of the porous media have a strong effect on displacement processes.The cluster size of viscous fingering pattern in percolation cluster increases with the increase of iteration parameter n.When iteration parameter n ？ 10,VF pattern does not change with n.The distribution of velocities normal to the interface of VF in percolation cluster is also studied.The sweep efficiency E increases along with the increasing of iteration parameter n and decreases with the network size L.%对随机多孔介质中粘滞指进的分形性质进行研究,建立正方网格来模拟多孔介质中润湿流体的侵入和流动,运用决定论模型进行研究。结果表明,多孔介质的几何拓扑强烈地影响了粘滞指进的结构和驱替过程。粘滞指进图像扫及面积随着迭代次数n的增加而增大。增加迭代次数n和网格尺寸,会导致驱扫效率E的增大。
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