title: 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.
authors.affiliation: Géosciences Rennes, UMR 6118, CNRS, Université de Rennes 1, Rennes Cedex 35042, France. pietrodeanna@gmail.com
authors.forename: Pietro
authors.initials: P
authors.lastname: de Anna
authors.forename: Tanguy
authors.initials: T
authors.lastname: Le Borgne
authors.forename: Marco
authors.initials: M
authors.lastname: Dentz
authors.forename: Alexandre M
authors.initials: AM
authors.lastname: Tartakovsky
authors.forename: Diogo
authors.initials: D
authors.lastname: Bolster
authors.forename: Philippe
authors.initials: P
authors.lastname: Davy