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Published on: November 25, 2020
Flow intermittency, dispersion, and correlated continuous time random walks in porous media
Pietro de Anna1, Tanguy Le Borgne, Marco Dentz
1Géosciences Rennes, UMR 6118, CNRS, Université de Rennes 1, Rennes Cedex 35042, France. pietrodeanna@gmail.com
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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