Flow intermittency, dispersion, and correlated continuous time random walks in porous media

Pietro De Anna, Tanguy Le Borgne, Marco Dentz, Alexandre M. Tartakovsky, Diogo Bolster, Philippe Davy

Research output: Contribution to journalArticle

Abstract

We study the intermittency of fluid velocities in porous media and its relation to anomalous dispersion. Lagrangian velocities measured at equidistant points along streamlines are shown to form a spatial Markov process. As a consequence of this remarkable property, the dispersion of fluid particles can be described by a continuous time random walk with correlated temporal increments. This new dynamical picture of intermittency provides a direct link between the microscale flow, its intermittent properties, and non-Fickian dispersion.

Original languageEnglish (US)
Article number184502
JournalPhysical review letters
Volume110
Issue number18
DOIs
StatePublished - May 1 2013
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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