Open AccessVISCOUS FINGERING IN SELF-AFFINE SIERPINSKI CARPET
Author(s) -
Tian Jin,
Kai Yao
Publication year - 1999
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.48.193
Subject(s) - sierpinski carpet , affine transformation , fractal , sierpinski triangle , fractal dimension , physics , limit (mathematics) , displacement (psychology) , hausdorff dimension , mathematical analysis , mathematics , geometry , psychology , psychotherapist
In this paper, the self-affine Sierpinski carpet is constructed. The viscous fingering (VF) in self-affine Sierpinski carpet, based on the assumption that bond radii are truncated Rayleigh distribution, is simulated by means of successive over-relaxation techniques. The fractal dimension of VF is calculated. The results show that the VF pattern of self-affine Sierpinski carpet in the limit viscosity ratio M→∞ is found to be similar to the DLA pattern. When M=1, the interior of the cluster of the displacing fluid is compact and the displacement process is stable for long length scales.