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

被引：191

作者：

de Anna, Pietro ^{[1
,5
]}

Le Borgne, Tanguy ^{[1
]}

Dentz, Marco ^{[2
]}

Tartakovsky, Alexandre M. ^{[3
]}

Bolster, Diogo ^{[4
]}

Davy, Philippe ^{[1
]}

机构：

[1] Univ Rennes 1, CNRS, Geosci Rennes, UMR 6118, F-35042 Rennes, France

[2] Spanish Natl Res Council IDAEA CSIC, Barcelona 08034, Spain

[3] Pacific NW Natl Lab, Richland, WA 99354 USA

[4] Univ Notre Dame, South Bend, IN 46556 USA

[5] MIT, Cambridge, MA 02139 USA

来源：

PHYSICAL REVIEW LETTERS | 2013年 / 110卷 / 18期

基金：

美国国家科学基金会;

关键词：

ANOMALOUS DIFFUSION; TURBULENCE; PARTICLES;

D O I：

10.1103/PhysRevLett.110.184502

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：5

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