Pattern Structure of Deterministic Displacement in Random Porous Media with Dispersion Effect

作     者：TIANJu－Ping YAOKai－Lun 

作者机构：DepartmentofPhysicsWuhanInstituteofScienceandTechnologyWuhan430073China DepartmentofPhysicsHuazhongUniversityofScienceandTechnologyWuhan430074China 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2002年第37卷第1期

页      面：91-95页

核心收录：

学科分类：07[理学] 070205[理学-凝聚态物理] 08[工学] 080501[工学-材料物理与化学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0702[理学-物理学] 

基　　金：湖北省教育厅项目 

主　　题：随机多孔介质 图样结构 色散效应 

摘      要：A new model - modelof random porous media degradation via several fluid displacing, freezing, and thawing cycles is introduced and investigated in this paper. The fluid transport is based on the deterministic method with dispersion effect. 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 (VF) pattern in percolation cluster increases with the increase of iteration parameter n. When iteration parameter n ≥ 10, VF pattern does not change with n. We find that the displacement fluid forms trapping regions in random porous media with dispersion effect. And the trapping regions will expand with the increasing of the iteration parameter n. When r (throat size) → 1 and n ≥ 5, the peak value of the distribution Nmat(r) increases as n increases, where Nmat(r) is the normalized distribution of throat sizes after different displacement-damages but before freezing. The peak value of the distribution Ninv(r) reaches a maximum when n ≥ 10 and r = 1, where Ninv(r) is the normalized distribution of the size of invaded throat. This result is different from invasion percolation. It is found that the sweep efficiency E increases along with the increasing of iteration parameter n and decreases with the network size L, and E has a minimum as L increases to the maximum size of Iattice. The VF pattern in percolation cluster has one frozen zone and one active zone.