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Flow Intermittency, Dispersion, and Correlated Continuous Time Random Walks in Porous Media

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.
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https://hal-insu.archives-ouvertes.fr/insu-01121092
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Submitted on : Friday, February 27, 2015 - 1:37:43 PM
Last modification on : Tuesday, December 3, 2019 - 5:04:12 PM

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Pietro de Anna, Tanguy Le Borgne, Marco Dentz, Alexandre Tartakovsky, Diogo Bolster, et al.. Flow Intermittency, Dispersion, and Correlated Continuous Time Random Walks in Porous Media. American Physical Society Meeting, American Physical Society, Mar 2014, Denver, United States. ⟨10.1103/PhysRevLett.110.184502⟩. ⟨insu-01121092⟩

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