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
Formato: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2019
País:España
Recursos:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/198395
Acesso em linha:http://hdl.handle.net/10261/198395
Access Level:acceso abierto
Palavra-chave: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 Networks Hyman, Jeffrey De Haven Dentz, Marco Hagberg, Aric A. Kang, Peter Kyungchul Fracture Fracture network Electron transitions First passage time distributions Time-domain random walks Particle motions 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 J.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 reviewed American Physical Society http://hdl.handle.net/10261/198395
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
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
topic Fracture
Fracture network
Electron transitions
First passage time distributions
Time-domain random walks
Particle motions
topic_facet 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
format article
status_str acceptedVersion
url http://hdl.handle.net/10261/198395
eu_rights_str_mv openAccess
publisher American Physical Society
institution Consejo Superior de Investigaciones Científicas (CSIC)
collection DIGITAL.CSIC. Repositorio Institucional del CSIC
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
_version_ 1878433501588488192
publishDateSort 2019
author_browse Dentz, Marco
Hagberg, Aric A.
Hyman, Jeffrey De Haven
Kang, Peter Kyungchul
publisherStr American Physical Society
score 6,924472

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