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...

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Detalhes bibliográficos
Autores: Holzner, Markus, Morales, Verónica L., Willmann, Matthias, Dentz, Marco
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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spelling 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
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/140782
url http://hdl.handle.net/10261/140782
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv #PLACEHOLDER_PARENT_METADATA_VALUE#
info:eu-repo/grantAgreement/EC/FP7/617511
10.1103/PhysRevE.92.013015

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
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
collection DIGITAL.CSIC. Repositorio Institucional del CSIC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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