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Random walks in prefractal porous media

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Abstract

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.

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