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

Flow Intermittency, Dispersion, and Correlated Continuous Time Random Walks in Porous Media
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DOI:
10.1103/physrevlett.110.184502
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发表时间:
2013-05-01
影响因子:
8.6
通讯作者:
Davy, Philippe
Davy, Philippe
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
de Anna, Pietro;Le Borgne, Tanguy;Davy, Philippe

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研究了多孔介质中流体速度的间歇性及其与异常弥散的关系。拉格朗日速度沿流线等距点测得,形成空间马尔可夫过程。由于这一显著的性质,流体颗粒的分散可以用具有相关时间增量的连续时间随机游动来描述。这种新的间歇性动力学图像提供了微尺度流动、其间歇性和非费克弥散之间的直接联系。
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.