English

Transport phenomena in sharply contrasting media with a diffusion barrier

Other Condensed Matter 2011-10-28 v1 Soft Condensed Matter

Abstract

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.

Keywords

Cite

@article{arxiv.1110.5930,
  title  = {Transport phenomena in sharply contrasting media with a diffusion barrier},
  author = {O. A. Dvoretskaya and P. S. Kondratenko},
  journal= {arXiv preprint arXiv:1110.5930},
  year   = {2011}
}

Comments

15 pages, 3 figures