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.
LIU Zhi-Feng;WANG Xiao-Hong;MAO Pan;WU Qing-Song. Tracer Dispersion Between Two Lines in Two-Dimensional Percolation Porous Media[J]. 中国物理快报, 2003, 20(11): 1969-1972.
LIU Zhi-Feng, WANG Xiao-Hong, MAO Pan, WU Qing-Song. Tracer Dispersion Between Two Lines in Two-Dimensional Percolation Porous Media. Chin. Phys. Lett., 2003, 20(11): 1969-1972.
2003, Vol. 20 
