Flow Intermittency, Dispersion, and Correlated Continuous Time Random Walks in Porous Media
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...
| Main Authors: | , , , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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American Physical Society
2013
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| Online Access: | http://hdl.handle.net/1721.1/82030 |
| _version_ | 1811084834746925056 |
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| author | de Anna, Pietro Le Borgne, Tanguy Dentz, Marco Tartakovsky, Alexandre M. Bolster, Diogo Davy, Philippe de Anna, Pietro |
| author2 | Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences |
| author_facet | Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences de Anna, Pietro Le Borgne, Tanguy Dentz, Marco Tartakovsky, Alexandre M. Bolster, Diogo Davy, Philippe de Anna, Pietro |
| author_sort | de Anna, Pietro |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T12:58:20Z |
| format | Article |
| id | mit-1721.1/82030 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T12:58:20Z |
| publishDate | 2013 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/820302024-05-15T07:38:35Z Flow Intermittency, Dispersion, and Correlated Continuous Time Random Walks in Porous Media de Anna, Pietro Le Borgne, Tanguy Dentz, Marco Tartakovsky, Alexandre M. Bolster, Diogo Davy, Philippe de Anna, Pietro Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences De Anna, Pietro 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. 2013-11-07T20:54:19Z 2013-11-07T20:54:19Z 2013-05 2012-10 Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/82030 De Anna, Pietro et al. “Flow Intermittency, Dispersion, and Correlated Continuous Time Random Walks in Porous Media.” Physical Review Letters 110.18 (2013). © 2013 American Physical Society en_US http://dx.doi.org/10.1103/PhysRevLett.110.184502 Physical Review Letters Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society APS |
| spellingShingle | de Anna, Pietro Le Borgne, Tanguy Dentz, Marco Tartakovsky, Alexandre M. Bolster, Diogo Davy, Philippe de Anna, Pietro Flow Intermittency, Dispersion, and Correlated Continuous Time Random Walks in Porous Media |
| title | Flow Intermittency, Dispersion, and Correlated Continuous Time Random Walks in Porous Media |
| title_full | Flow Intermittency, Dispersion, and Correlated Continuous Time Random Walks in Porous Media |
| title_fullStr | Flow Intermittency, Dispersion, and Correlated Continuous Time Random Walks in Porous Media |
| title_full_unstemmed | Flow Intermittency, Dispersion, and Correlated Continuous Time Random Walks in Porous Media |
| title_short | Flow Intermittency, Dispersion, and Correlated Continuous Time Random Walks in Porous Media |
| title_sort | flow intermittency dispersion and correlated continuous time random walks in porous media |
| url | http://hdl.handle.net/1721.1/82030 |
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