Flow Intermittency, Dispersion, and Correlated Continuous Time Random Walks in Porous Media
Name
De Anna-2013-Flow intermittency, dispersion, and correlated continuous time.pdf
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Author(s)
de Anna, Pietro
Le Borgne, Tanguy
Dentz, Marco
Tartakovsky, Alexandre M.
Bolster, Diogo
Davy, Philippe
de Anna, Pietro
Date Issued
May 2013
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
De Anna, Pietro et al. “Flow Intermittency, Dispersion, and Correlated Continuous Time Random Walks in Porous Media.” Physical Review Letters 110.18 (2013). © 2013 American Physical Society
Version
Final published version
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.
MIT Department
Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevLett.110.184502
