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Tracer Dispersion Between Two Lines in Two-Dimensional Percolation Porous Media |
| LIU Zhi-Feng;WANG Xiao-Hong;MAO Pan;WU Qing-Song |
| Department of Thermal Science and Energy Engineering,
University of Science and Technology of China, Hefei 230026 |
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| Cite this article: |
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LIU Zhi-Feng, WANG Xiao-Hong, MAO Pan et al 2003 Chin. Phys. Lett. 20 1969-1972 |
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Abstract we study the statistical behaviour of the tracer motion between two lines in two-dimensional percolation porous media, based upon the direct numerical solutions of the Stokes equations on 20000 different percolation structures. At the critical threshold p = pc, the travelling length has the exponential distribution rather than the power-law distribution. Numerical simulations show that the ensemble average travelling length ～ L1.21 and ～ L for p = pc and p > pc, respectively. The region of the tracer dispersion is wide when p = pc and rather narrow when p > pc. Numerical simulations indicate that the transverse fluctuation has the same scale as the correlation length of the percolation structure, which is the system size L when p = pc and is constant for the large system size L when p > pc. It is also shown that the travelling time has the power-law behaviour when p = pc.
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| Keywords:
47.55.Mh
05.60.Cd
64.60.Ak
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Published: 01 November 2003
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