Random walks in prefractal porous media

Random walks are used to examine dispersion between miscible fluids in one‐dimensional, prefractal porous medium. Mixing in such media is anomalous and several nonlocal theories have been proposed to describe this non‐Fickian characteristic. This work simulates dispersion via a random walk in a prefractal media by incorporation local and spatially nonlocal effects and compares the results with laboratory experiments. Results suggest that nonlocal models fit experimental data better than local models.