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

共 35 条

[1] Universal intermittent properties of particle trajectories in highly turbulent flows [J].

Arneodo, A. ;

Benzi, R. ;

Berg, J. ;

Biferale, L. ;

Bodenschatz, E. ;

Busse, A. ;

Calzavarini, E. ;

Castaing, B. ;

Cencini, M. ;

Chevillard, L. ;

Fisher, R. T. ;

Grauer, R. ;

Homann, H. ;

Lamb, D. ;

Lanotte, A. S. ;

Leveque, E. ;

Luethi, B. ;

Mann, J. ;

Mordant, N. ;

Mueller, W. -C. ;

Ott, S. ;

Ouellette, N. T. ;

Pinton, J. -F. ;

Pope, S. B. ;

Roux, S. G. ;

Toschi, F. ;

Xu, H. ;

Yeung, P. K. .

PHYSICAL REVIEW LETTERS, 2008, 100 (25)

[2] Theory of anomalous chemical transport in random fracture networks [J].

Berkowitz, B ;

Scher, H .

PHYSICAL REVIEW E, 1998, 57 (05) :5858-5869

[3] Modeling non-Fickian transport in geological formations as a continuous time random walk [J].

Berkowitz, Brian ;

Cortis, Andrea ;

Dentz, Marco ;

Scher, Harvey .

REVIEWS OF GEOPHYSICS, 2006, 44 (02)

[4] Signature of Non-Fickian Solute Transport in Complex Heterogeneous Porous Media [J].

Bijeljic, Branko ;

Mostaghimi, Peyman ;

Blunt, Martin J. .

PHYSICAL REVIEW LETTERS, 2011, 107 (20)

[5] Anomalous diffusion in confined turbulent convection [J].

Boffetta, G. ;

De Lillo, F. ;

Musacchio, S. .

PHYSICAL REVIEW E, 2012, 85 (06)

[6] ANOMALOUS DIFFUSION IN DISORDERED MEDIA - STATISTICAL MECHANISMS, MODELS AND PHYSICAL APPLICATIONS [J].

BOUCHAUD, JP ;

GEORGES, A .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1990, 195 (4-5) :127-293

[7] On strong anomalous diffusion [J].

Castiglione, P ;

Mazzino, A ;

Muratore-Ginanneschi, P ;

Vulpiani, A .

PHYSICA D-NONLINEAR PHENOMENA, 1999, 134 (01) :75-93

[8] Continuous-time random walk with correlated waiting times [J].

Chechkin, Aleksei V. ;

Hofmann, Michael ;

Sokolov, Igor M. .

PHYSICAL REVIEW E, 2009, 80 (03)

[9] Lagrangian velocity statistics in turbulent flows:: Effects of dissipation -: art. no. 214502 [J].

Chevillard, L ;

Roux, SG ;

Levêque, E ;

Mordant, N ;

Pinton, JF ;

Arneodo, A .

PHYSICAL REVIEW LETTERS, 2003, 91 (21) :1-214502

[10] NONEQUILIBRIUM STATISTICAL-MECHANICS OF PREASYMPTOTIC DISPERSION [J].

CUSHMAN, JH ;

HU, XL ;

GINN, TR .

JOURNAL OF STATISTICAL PHYSICS, 1994, 75 (5-6) :859-878

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