Intermittent Lagrangian velocities and accelerations in three-dimensional porous medium flow
Intermittency of Lagrangian velocity and acceleration is a key to understanding transport in complex systems ranging from fluid turbulence to flow in porous media. High-resolution optical particle tracking in a three-dimensional (3D) porous medium provides detailed 3D information on Lagrangian veloc...
| Autores: | , , , |
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| Tipo de documento: | artigo |
| Estado: | Versión aceptada para publicación |
| Data de publicação: | 2015 |
| País: | España |
| Recursos: | Consejo Superior de Investigaciones Científicas (CSIC) |
| Repositório: | DIGITAL.CSIC. Repositorio Institucional del CSIC |
| OAI Identifier: | oai:digital.csic.es:10261/140782 |
| Acesso em linha: | http://hdl.handle.net/10261/140782 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Continuous time systems Lagrange multipliers Porous materials Random processes |
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Intermittent Lagrangian velocities and accelerations in three-dimensional porous medium flowHolzner, MarkusMorales, Verónica L.Willmann, MatthiasDentz, MarcoContinuous time systemsLagrange multipliersPorous materialsRandom processesIntermittency of Lagrangian velocity and acceleration is a key to understanding transport in complex systems ranging from fluid turbulence to flow in porous media. High-resolution optical particle tracking in a three-dimensional (3D) porous medium provides detailed 3D information on Lagrangian velocities and accelerations. We find sharp transitions close to pore throats, and low flow variability in the pore bodies, which gives rise to stretched exponential Lagrangian velocity and acceleration distributions characterized by a sharp peak at low velocity, superlinear evolution of particle dispersion, and double-peak behavior in the propagators. The velocity distribution is quantified in terms of pore geometry and flow connectivity, which forms the basis for a continuous-time random-walk model that sheds light on the observed Lagrangian flow and transport behaviors. ©2015 American Physical Society.We acknowledge the contributions of R. Gallus and D. S¨agesser in the frame of a laboratory project, U. G¨ulan for help with data processing and W. Kinzelbach, T. LeBorgne, P. De Anna and P.K. Kang for stimulating discussions. Financial support is acknowledged from the Swiss National Science Foundation (SNF grant number 144645) for M.H., Marie Curie International Incoming Fellowships (FP7- PEOPLE-2012-SoilArchnAg) for V.L.M, and the European Research Council (ERC project MHetScale number 617511) for M.D.Peer reviewedAmerican Physical SocietyEuropean Research CouncilConsejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]201620162015info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Postprintinfo:eu-repo/semantics/acceptedVersionhttp://hdl.handle.net/10261/140782reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Inglés#PLACEHOLDER_PARENT_METADATA_VALUE#info:eu-repo/grantAgreement/EC/FP7/61751110.1103/PhysRevE.92.013015Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/1407822026-05-22T06:33:51Z |
| dc.title.none.fl_str_mv |
Intermittent Lagrangian velocities and accelerations in three-dimensional porous medium flow |
| title |
Intermittent Lagrangian velocities and accelerations in three-dimensional porous medium flow |
| spellingShingle |
Intermittent Lagrangian velocities and accelerations in three-dimensional porous medium flow Holzner, Markus Continuous time systems Lagrange multipliers Porous materials Random processes |
| title_short |
Intermittent Lagrangian velocities and accelerations in three-dimensional porous medium flow |
| title_full |
Intermittent Lagrangian velocities and accelerations in three-dimensional porous medium flow |
| title_fullStr |
Intermittent Lagrangian velocities and accelerations in three-dimensional porous medium flow |
| title_full_unstemmed |
Intermittent Lagrangian velocities and accelerations in three-dimensional porous medium flow |
| title_sort |
Intermittent Lagrangian velocities and accelerations in three-dimensional porous medium flow |
| dc.creator.none.fl_str_mv |
Holzner, Markus Morales, Verónica L. Willmann, Matthias Dentz, Marco |
| author |
Holzner, Markus |
| author_facet |
Holzner, Markus Morales, Verónica L. Willmann, Matthias Dentz, Marco |
| author_role |
author |
| author2 |
Morales, Verónica L. Willmann, Matthias Dentz, Marco |
| author2_role |
author author author |
| dc.contributor.none.fl_str_mv |
European Research Council Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72] |
| dc.subject.none.fl_str_mv |
Continuous time systems Lagrange multipliers Porous materials Random processes |
| topic |
Continuous time systems Lagrange multipliers Porous materials Random processes |
| description |
Intermittency of Lagrangian velocity and acceleration is a key to understanding transport in complex systems ranging from fluid turbulence to flow in porous media. High-resolution optical particle tracking in a three-dimensional (3D) porous medium provides detailed 3D information on Lagrangian velocities and accelerations. We find sharp transitions close to pore throats, and low flow variability in the pore bodies, which gives rise to stretched exponential Lagrangian velocity and acceleration distributions characterized by a sharp peak at low velocity, superlinear evolution of particle dispersion, and double-peak behavior in the propagators. The velocity distribution is quantified in terms of pore geometry and flow connectivity, which forms the basis for a continuous-time random-walk model that sheds light on the observed Lagrangian flow and transport behaviors. ©2015 American Physical Society. |
| publishDate |
2015 |
| dc.date.none.fl_str_mv |
2015 2016 2016 |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/article http://purl.org/coar/resource_type/c_6501 Postprint info:eu-repo/semantics/acceptedVersion |
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article |
| status_str |
acceptedVersion |
| dc.identifier.none.fl_str_mv |
http://hdl.handle.net/10261/140782 |
| url |
http://hdl.handle.net/10261/140782 |
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Inglés |
| language_invalid_str_mv |
Inglés |
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#PLACEHOLDER_PARENT_METADATA_VALUE# info:eu-repo/grantAgreement/EC/FP7/617511 10.1103/PhysRevE.92.013015 Sí |
| dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess |
| eu_rights_str_mv |
openAccess |
| dc.publisher.none.fl_str_mv |
American Physical Society |
| publisher.none.fl_str_mv |
American Physical Society |
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reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC instname:Consejo Superior de Investigaciones Científicas (CSIC) |
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Consejo Superior de Investigaciones Científicas (CSIC) |
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DIGITAL.CSIC. Repositorio Institucional del CSIC |
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DIGITAL.CSIC. Repositorio Institucional del CSIC |
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15,811543 |