A fractal constitutive model for unsaturated flow in fractured hard rocks

Autores
Guarracino, Luis
Año de publicación
2006
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
A physical conceptual model for water retention in self-similar fractured hard rocks is presented. The geometric pattern of the fracture network is described using a classical fractal object known as the Sierpinski carpet. Assuming this type of geometry, a relatively simple closed-form expression for the water content is obtained. All model parameters can be calculated from the density of the main fractures, the maximum and minimum values of the fracture aperture, and the residual water content. The resulting water content expression is then used to estimate the unsaturated hydraulic conductivity of the fractured medium based upon the well-known model of Burdine. It is found that for large enough ranges of fracture apertures the new constitutive model converges to the empirical Brooks–Corey model.
Fil: Guarracino, Luis. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/241781
Acceder
id CONICETDig_81a11eec2278ecbe77ad742ccc419ad2
oai_identifier_str oai:ri.conicet.gov.ar:11336/241781
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling A fractal constitutive model for unsaturated flow in fractured hard rocksGuarracino, Luishttps://purl.org/becyt/ford/2.11https://purl.org/becyt/ford/2A physical conceptual model for water retention in self-similar fractured hard rocks is presented. The geometric pattern of the fracture network is described using a classical fractal object known as the Sierpinski carpet. Assuming this type of geometry, a relatively simple closed-form expression for the water content is obtained. All model parameters can be calculated from the density of the main fractures, the maximum and minimum values of the fracture aperture, and the residual water content. The resulting water content expression is then used to estimate the unsaturated hydraulic conductivity of the fractured medium based upon the well-known model of Burdine. It is found that for large enough ranges of fracture apertures the new constitutive model converges to the empirical Brooks–Corey model.Fil: Guarracino, Luis. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; ArgentinaElsevier Science2006-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/241781Guarracino, Luis; A fractal constitutive model for unsaturated flow in fractured hard rocks; Elsevier Science; Journal of Hydrology; 324; 1-4; 12-2006; 154-1620022-1694CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0022169405004828info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jhydrol.2005.10.004info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:48:53Zoai:ri.conicet.gov.ar:11336/241781instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 09:48:53.505CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A fractal constitutive model for unsaturated flow in fractured hard rocks
title A fractal constitutive model for unsaturated flow in fractured hard rocks
spellingShingle A fractal constitutive model for unsaturated flow in fractured hard rocks
Guarracino, Luis
title_short A fractal constitutive model for unsaturated flow in fractured hard rocks
title_full A fractal constitutive model for unsaturated flow in fractured hard rocks
title_fullStr A fractal constitutive model for unsaturated flow in fractured hard rocks
title_full_unstemmed A fractal constitutive model for unsaturated flow in fractured hard rocks
title_sort A fractal constitutive model for unsaturated flow in fractured hard rocks
dc.creator.none.fl_str_mv Guarracino, Luis
author Guarracino, Luis
author_facet Guarracino, Luis
author_role author
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.11
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv A physical conceptual model for water retention in self-similar fractured hard rocks is presented. The geometric pattern of the fracture network is described using a classical fractal object known as the Sierpinski carpet. Assuming this type of geometry, a relatively simple closed-form expression for the water content is obtained. All model parameters can be calculated from the density of the main fractures, the maximum and minimum values of the fracture aperture, and the residual water content. The resulting water content expression is then used to estimate the unsaturated hydraulic conductivity of the fractured medium based upon the well-known model of Burdine. It is found that for large enough ranges of fracture apertures the new constitutive model converges to the empirical Brooks–Corey model.
Fil: Guarracino, Luis. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina
description A physical conceptual model for water retention in self-similar fractured hard rocks is presented. The geometric pattern of the fracture network is described using a classical fractal object known as the Sierpinski carpet. Assuming this type of geometry, a relatively simple closed-form expression for the water content is obtained. All model parameters can be calculated from the density of the main fractures, the maximum and minimum values of the fracture aperture, and the residual water content. The resulting water content expression is then used to estimate the unsaturated hydraulic conductivity of the fractured medium based upon the well-known model of Burdine. It is found that for large enough ranges of fracture apertures the new constitutive model converges to the empirical Brooks–Corey model.
publishDate 2006
dc.date.none.fl_str_mv 2006-12
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/241781
Guarracino, Luis; A fractal constitutive model for unsaturated flow in fractured hard rocks; Elsevier Science; Journal of Hydrology; 324; 1-4; 12-2006; 154-162
0022-1694
CONICET Digital
CONICET
url http://hdl.handle.net/11336/241781
identifier_str_mv Guarracino, Luis; A fractal constitutive model for unsaturated flow in fractured hard rocks; Elsevier Science; Journal of Hydrology; 324; 1-4; 12-2006; 154-162
0022-1694
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0022169405004828
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jhydrol.2005.10.004
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science
publisher.none.fl_str_mv Elsevier Science
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1844613515854217216
score 13.070432

Publicaciones similares