RANDOM-WALKS IN PREFRACTAL POROUS-MEDIA

Random walks ave used to examine dispersion between miscible fluids in one-dimensional, prefractal porous medium. Mixing in such media is an omalous and several nonlocal theories have been proposed to describe t his non-Fickian characteristic. This work simulates dispersion via a r andom walk in a prefractal media by incorporating local and spatially nonlocal effects and compares the results with laboratory experiments. Results suggest that nonlocal models fit experimental data better tha n local models.