Transport phenomena in sharply contrasting media with a diffusion barrier

Details Transport phenomena in sharply contrasting media with a diffusion barrier Transport phenomena in sharply contrasting media with a diffusion barrier

2011-10-26

arxiv.org/abs/1110.5930v1

2011 J. Phys. A: Math. Theor. 44 465001

Physics

Condensed Matter

Other Condensed Matter

15 pages, 3 figures

Scientific paper

10.1088/1751-8113/44/46/465001

Using the advection-diffusion equation, we analytically study contaminant transport in a sharply contrasting medium with a diffusion barrier due to localization of a contaminant source in a low-permeability medium. Anomalous diffusion behavior and crossover between different transport regimes are observed. The diffusion barrier results in exponential attenuation of the source power, retardation of the contaminant plume growth, and modification of the concentration distribution at large distances.

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