Emergence of Stable Laws for First Passage Times in Three-Dimensional Random Fracture Networks

We study first passage behaviors in the flow through three-dimensional random fracture networks. Network and flow heterogeneity lead to the emergence of heavy-tailed first passage time distributions that evolve with increasing distance between the start and target planes, and transition toward stabl...

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Autores: Hyman, Jeffrey De Haven, Dentz, Marco, Hagberg, Aric A., Kang, Peter Kyungchul
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2019
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/198395
Acceso en línea:http://hdl.handle.net/10261/198395
Access Level:acceso abierto
Palabra clave:Fracture
Fracture network
Electron transitions
First passage time distributions
Time-domain random walks
Particle motions
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spelling Emergence of Stable Laws for First Passage Times in Three-Dimensional Random Fracture NetworksHyman, Jeffrey De HavenDentz, MarcoHagberg, Aric A.Kang, Peter KyungchulFractureFracture networkElectron transitionsFirst passage time distributionsTime-domain random walksParticle motionsWe study first passage behaviors in the flow through three-dimensional random fracture networks. Network and flow heterogeneity lead to the emergence of heavy-tailed first passage time distributions that evolve with increasing distance between the start and target planes, and transition toward stable laws. Analysis of the spatial memory of the first passage process shows that particle motion can be quantified stochastically by a time domain random walk conditioned on the initial velocity data. This approach identifies advective tortuosity, the velocity point distribution and the average fracture link length as key quantities for the prediction of first passage times. Using this approach, we develop a theory for the evolution of first passage times with increasing distance between the start and target planes and the convergence towards stable laws. © 2019 American PhysicalJ.D.H. and A.H. are thankful for support from the US Department of Energy through the Los Alamos National Laboratory. Specifically, support through the Laboratory-Directed Research and Development Program grants 20180621ECR and 20170103DR. Los Alamos National Laboratory is operated by Triad National Security, LLC, for the National Nuclear Security Administration of U.S. Department of Energy (Contract No. 89233218CNA000001). J.D.H. also thanks the partial support of DOE’s Office of Science Basic Energy Sciences E3W1. M.D. gratefully acknowledges the support of the European Research Council (ERC) through the project MHetScale (617511). P.K.K. acknowledges a grant from the Korea Environment Industry & Technology Institute (KEITI) through Subsurface Environmental Management (SEM) Project, funded by the Korea Ministry of Environment (MOE) (2018002440003).Peer reviewedAmerican Physical SocietyEuropean Research CouncilDentz, Marco [0000-0002-3940-282X]Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]202020202019info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Postprintinfo:eu-repo/semantics/acceptedVersionhttp://hdl.handle.net/10261/198395reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Inglés#PLACEHOLDER_PARENT_METADATA_VALUE#info:eu-repo/grantAgreement/EC/FP7/617511https://doi.org/10.1103/PhysRevLett.123.248501Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/1983952026-05-22T06:33:51Z
dc.title.none.fl_str_mv Emergence of Stable Laws for First Passage Times in Three-Dimensional Random Fracture Networks
title Emergence of Stable Laws for First Passage Times in Three-Dimensional Random Fracture Networks
spellingShingle Emergence of Stable Laws for First Passage Times in Three-Dimensional Random Fracture Networks
Hyman, Jeffrey De Haven
Fracture
Fracture network
Electron transitions
First passage time distributions
Time-domain random walks
Particle motions
title_short Emergence of Stable Laws for First Passage Times in Three-Dimensional Random Fracture Networks
title_full Emergence of Stable Laws for First Passage Times in Three-Dimensional Random Fracture Networks
title_fullStr Emergence of Stable Laws for First Passage Times in Three-Dimensional Random Fracture Networks
title_full_unstemmed Emergence of Stable Laws for First Passage Times in Three-Dimensional Random Fracture Networks
title_sort Emergence of Stable Laws for First Passage Times in Three-Dimensional Random Fracture Networks
dc.creator.none.fl_str_mv Hyman, Jeffrey De Haven
Dentz, Marco
Hagberg, Aric A.
Kang, Peter Kyungchul
author Hyman, Jeffrey De Haven
author_facet Hyman, Jeffrey De Haven
Dentz, Marco
Hagberg, Aric A.
Kang, Peter Kyungchul
author_role author
author2 Dentz, Marco
Hagberg, Aric A.
Kang, Peter Kyungchul
author2_role author
author
author
dc.contributor.none.fl_str_mv European Research Council
Dentz, Marco [0000-0002-3940-282X]
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv Fracture
Fracture network
Electron transitions
First passage time distributions
Time-domain random walks
Particle motions
topic Fracture
Fracture network
Electron transitions
First passage time distributions
Time-domain random walks
Particle motions
description We study first passage behaviors in the flow through three-dimensional random fracture networks. Network and flow heterogeneity lead to the emergence of heavy-tailed first passage time distributions that evolve with increasing distance between the start and target planes, and transition toward stable laws. Analysis of the spatial memory of the first passage process shows that particle motion can be quantified stochastically by a time domain random walk conditioned on the initial velocity data. This approach identifies advective tortuosity, the velocity point distribution and the average fracture link length as key quantities for the prediction of first passage times. Using this approach, we develop a theory for the evolution of first passage times with increasing distance between the start and target planes and the convergence towards stable laws. © 2019 American Physical
publishDate 2019
dc.date.none.fl_str_mv 2019
2020
2020
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/10261/198395
url http://hdl.handle.net/10261/198395
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
https://doi.org/10.1103/PhysRevLett.123.248501
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
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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score 15.811543

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