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Influence of local geometry and transition to dispersive regime by mechanical mixing in porous media.

Authors
  • Duplay, Renaud
  • Sen, Pabitra N
Type
Published Article
Journal
Physical Review E
Publisher
American Physical Society (APS)
Publication Date
Dec 01, 2004
Volume
70
Issue
6 Pt 2
Pages
66309–66309
Identifiers
PMID: 15697504
Source
Medline
License
Unknown

Abstract

We study dispersion without diffusion via mechanical mixing, starting from the early ballistic regime where the mean-square displacement (MSd)<(xi-<xi>)2)> proportional to t(2) grows as the elapsed time squared, to the long-time, decoherent, asymptotic regime, where, MSd grows linearly in time. We find in the early time regime, the propagator has a fingerprint of local geometry. The quadratic t(2) term in the MSd may persist if a mechanical parameter aleph, long-range velocity deviation, which characterizes the deviation of the long-range mean velocity seen by each particle from the long-range mean velocity of the entire ensemble, is nonzero. The time dependence of dispersion coefficient, even in absence of diffusion, shows a behavior similar to that found in Telegraph equation for diffusion with drift.

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