Fractal viscous fingering and its scaling structure in random Sierpinski carpet

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	Fractal viscous fingering and its scaling structure in random Sierpinski carpet
	J. P. Tian; K. L. Yao
	2001
发表期刊	Chinese Physics
ISSN	1009-1963
卷号	10 期号:2 页码:128-133
摘要	Viscous fingering (VF) in the random Sierpinski carpet is investigated by means of the successive over-relaxation technique and under the assumption that bond radii are of Rayleigh distribution. In the random Sierpinski network, the VF pattern of porous media in the limit M --> infinity (M is the viscosity ratio and equals eta (2)/eta (1) where eta (1) and eta (2) are the viscosities of the injected and displaced fluids, respectively) is found to be similar to the diffusion-limited aggregation (DLA) pattern. The interior of the cluster of the displacing fluid is compact on long length scales when M = 1, and the pores in the interior of the cluster have been completely swept by the displacing fluid. For finite values of M, such as M greater than or equal to 10, the pores in the interior of the cluster have been only partly swept by the displacing fluid on short length scales. But for values of M in 1 < M 5, the pores in the interior of the cluster have been completely swept by the displacing fluid on short length scales. The symmetry of the growth of VF is broken by randomizing the positions of the holes. The fractal dimension for VF in fractal space is calculated. However, the sweep efficiency of the displacement processes mainly depends upon the length of the network system and also on the viscosity ratio M. The fractal dimension D can be reasonably regarded as a useful parameter to evaluate the sweep efficiencies. The topology and geometry of the porous media have a strong effect on the structure of VF and the displacement process. The distribution of velocities normal to the interface has been studied by means of multifractal theory. Results show that the distribution is consistent with the hypothesis that, for a system of size L, L-f(alpha) sites have velocities scaling as L-(alpha); and the scaling function f(alpha) is measured and its variation with M is found.
部门归属	wuhan inst sci & technol, dept phys, wuhan 430073, peoples r china. huazhong univ sci & technol, dept phys, wuhan 430074, peoples r china. china ctr adv sci & technol, world lab, beijing 100080, peoples r china. chinese acad sci, int ctr mat phys, shenyang 110015, peoples r china.;tian, jp (reprint author), wuhan inst sci & technol, dept phys, wuhan 430073, peoples r china
关键词	Viscous Fingering Fractal Construction Sierpinski Carpet Diffusion-limited Aggregation Porous-media Computer-simulations Flow Displacements Models
URL	查看原文
WOS记录号	WOS:000166975400009
引用统计	被引频次：4[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.imr.ac.cn/handle/321006/36816
专题	中国科学院金属研究所
推荐引用方式 GB/T 7714	J. P. Tian,K. L. Yao. Fractal viscous fingering and its scaling structure in random Sierpinski carpet[J]. Chinese Physics,2001,10(2):128-133.
APA	J. P. Tian,&K. L. Yao.(2001).Fractal viscous fingering and its scaling structure in random Sierpinski carpet.Chinese Physics,10(2),128-133.
MLA	J. P. Tian,et al."Fractal viscous fingering and its scaling structure in random Sierpinski carpet".Chinese Physics 10.2(2001):128-133.