1999/03/31 by Youngki Lee, Jose S. Andrade Jr., Sergey V. Buldyrev +5
Physics and Astronomy · #cond-mat.stat-mech
published as Phys. Rev. E 60(3), (1999) · 4 pages including 9 figures, Minor corrections in text
arxiv created 1999/08/18 · arxiv updated 2009/11/30
We study traveling time and traveling length for tracer dispersion in porous media. We model porous media by two-dimensional bond percolation, and we model flow by tracer particles driven by a pressure difference between two points separated by Euclidean distance r. We find that the minimal traveling time tmin scales as tmin ∼ r1.40, which is different from the scaling of the most probable traveling time, t ∼ r1.64. We also calculate the length of the path corresponding to the minimal traveling time and find ℓmin ∼ r1.13 and that the most probable traveling length scales as ℓ ∼ r1.21. We present the relevant distribution functions and scaling relations.