A finite element approach to the simulation of hydraulic fractures with lag

We presented a finite-element-based algorithm to simulate plane-strain, straight hydraulic fractures in an impermeable elastic medium. The algorithm acCOllllts for the nonlinear coupling between the fluid pressure and the crack opening and separately tracks the evolution of the crack tip and the flu...

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Detalles Bibliográficos
Autores: Hunsweck, Michael J., Shen, Yongxing|||0000-0001-9397-3853, Lew, Adrian J.
Tipo de recurso: artículo
Fecha de publicación:2013
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/27865
Acceso en línea:https://hdl.handle.net/2117/27865
https://dx.doi.org/10.1002/nag.1131
Access Level:acceso abierto
Palabra clave:Strength of materials
Elasticity
finite element
hydraulic fracture
fluid lag
Resistència de materials
Elasticitat
74S Mètodes numèrics
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics
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repository_id_str
spelling A finite element approach to the simulation of hydraulic fractures with lagHunsweck, Michael J.Shen, Yongxing|||0000-0001-9397-3853Lew, Adrian J.Strength of materialsElasticityfinite elementhydraulic fracturefluid lagResistència de materialsElasticitat74S Mètodes numèricsÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèricsWe presented a finite-element-based algorithm to simulate plane-strain, straight hydraulic fractures in an impermeable elastic medium. The algorithm acCOllllts for the nonlinear coupling between the fluid pressure and the crack opening and separately tracks the evolution of the crack tip and the fluid front. It therefore allows the existence of a fluid lag. The fluid front is advanced explicitly in time, but an implicit strategy is needed for the crack tip to guarantee the satisfaction of Griffith's criterion at each time step. We enforced the coupling between the fluid and the rock by simultaneously solving for the pressure field in the fluid and the crack opening at each time step. We provided verification of our algorithm by performing sample simulations and comparing them with two known similarity solutions.Peer Reviewed20132013-01-0120152015-05-11journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/27865https://dx.doi.org/10.1002/nag.1131reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/278652026-05-27T15:37:01Z
dc.title.none.fl_str_mv A finite element approach to the simulation of hydraulic fractures with lag
title A finite element approach to the simulation of hydraulic fractures with lag
spellingShingle A finite element approach to the simulation of hydraulic fractures with lag
Hunsweck, Michael J.
Strength of materials
Elasticity
finite element
hydraulic fracture
fluid lag
Resistència de materials
Elasticitat
74S Mètodes numèrics
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics
title_short A finite element approach to the simulation of hydraulic fractures with lag
title_full A finite element approach to the simulation of hydraulic fractures with lag
title_fullStr A finite element approach to the simulation of hydraulic fractures with lag
title_full_unstemmed A finite element approach to the simulation of hydraulic fractures with lag
title_sort A finite element approach to the simulation of hydraulic fractures with lag
dc.creator.none.fl_str_mv Hunsweck, Michael J.
Shen, Yongxing|||0000-0001-9397-3853
Lew, Adrian J.
author Hunsweck, Michael J.
author_facet Hunsweck, Michael J.
Shen, Yongxing|||0000-0001-9397-3853
Lew, Adrian J.
author_role author
author2 Shen, Yongxing|||0000-0001-9397-3853
Lew, Adrian J.
author2_role author
author
dc.subject.none.fl_str_mv Strength of materials
Elasticity
finite element
hydraulic fracture
fluid lag
Resistència de materials
Elasticitat
74S Mètodes numèrics
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics
topic Strength of materials
Elasticity
finite element
hydraulic fracture
fluid lag
Resistència de materials
Elasticitat
74S Mètodes numèrics
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics
description We presented a finite-element-based algorithm to simulate plane-strain, straight hydraulic fractures in an impermeable elastic medium. The algorithm acCOllllts for the nonlinear coupling between the fluid pressure and the crack opening and separately tracks the evolution of the crack tip and the fluid front. It therefore allows the existence of a fluid lag. The fluid front is advanced explicitly in time, but an implicit strategy is needed for the crack tip to guarantee the satisfaction of Griffith's criterion at each time step. We enforced the coupling between the fluid and the rock by simultaneously solving for the pressure field in the fluid and the crack opening at each time step. We provided verification of our algorithm by performing sample simulations and comparing them with two known similarity solutions.
publishDate 2013
dc.date.none.fl_str_mv 2013
2013-01-01
2015
2015-05-11
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/27865
https://dx.doi.org/10.1002/nag.1131
url https://hdl.handle.net/2117/27865
https://dx.doi.org/10.1002/nag.1131
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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