中国物理B ›› 1998, Vol. 7 ›› Issue (10): 732-738.doi: 10.1088/1004-423X/7/10/003

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THE IMMISCIBLE DISPLACEMENT IN PERCOLATION CLUSTER

田巨平1, 姚凯伦2   

  1. (1)Department of Physics, Huazhong University of Science and Technology, Wuhan 430074, China; Department of Basic Science, Jianghan Petroleum Institute, Jingzhou 434102, China; (2)International Center for Materials Physics, Academia Sinica, Shenyang 110015, China
  • 收稿日期:1998-01-09 出版日期:1998-10-20 发布日期:1998-10-20

THE IMMISCIBLE DISPLACEMENT IN PERCOLATION CLUSTER

Tian Ju-ping (田巨平)a, Yao Kai-lun (姚凯伦)b   

  1. a Department of Physics, Huazhong University of Science and Technology, Wuhan 430074, China; Department of Basic Science, Jianghan Petroleum Institute, Jingzhou 434102, China; b International Center for Materials Physics, Academia Sinica, Shenyang 110015, China
  • Received:1998-01-09 Online:1998-10-20 Published:1998-10-20

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摘要： The percolation clusters with varying occupy probability were constructed in this paper. Viscous fingering (VF) in percolation cluster, based on the assumption that bond radii are Rayleigh distribution, is investigated by means of successive over-relaxation technique. The fractal dimension for VF in percolation cluster is calculated. The result shows that it can increase fractal dimension of VF as increase of percolation probability of reduce of viscous ratio. VF's fractal dimension of porous media in the limit viscous ratio →∞ is found to be identical with that in diffusion limited-aggregation. We have found that the topology and the geometry of the porous medium have strong effects on the displacement processes and the structure of the VF. We find that the sweep efficiency of the displacement processes mainly depends upon the length of the network system and also on the viscosity ratio. Moreover, the fractional flow of injected fluid as a function of mean saturation is obtained.

Abstract: The percolation clusters with varying occupy probability were constructed in this paper. Viscous fingering (VF) in percolation cluster, based on the assumption that bond radii are Rayleigh distribution, is investigated by means of successive over-relaxation technique. The fractal dimension for VF in percolation cluster is calculated. The result shows that it can increase fractal dimension of VF as increase of percolation probability of reduce of viscous ratio. VF's fractal dimension of porous media in the limit viscous ratio →$\infty$ is found to be identical with that in diffusion limited-aggregation. We have found that the topology and the geometry of the porous medium have strong effects on the displacement processes and the structure of the VF. We find that the sweep efficiency of the displacement processes mainly depends upon the length of the network system and also on the viscosity ratio. Moreover, the fractional flow of injected fluid as a function of mean saturation is obtained.

中图分类号:  (Flows through porous media)

  • 47.56.+r
47.53.+n (Fractals in fluid dynamics) 47.11.-j (Computational methods in fluid dynamics)