A Fractal Model for Predicting Water and Air Permeabilities of Unsaturated Fractured Rocks
- Autores
- Monachesi, Leonardo Bruno; Guarracino, Luis
- Año de publicación
- 2011
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- A fractal model to predict water and air permeabilities of unsaturated fractured rocks is presented. The derivation of the model is based on physical and geometric concepts. The pattern of the fracture network is assumed to be fractal and it is described by the Sierpinski carpet. The proposed expressions for the relative water and air permeabilities are closed-form and have five independent parameters: the fractal dimension, the minimum and maximum fracture apertures and the emergence points for water and air flows. The ability of the model to describe experimental data is illustrated by fitting the derived analytical curve to measured data from Grimsel Test Site (Switzerland) and numerical experiments designed by Liu and Bodvarsson (J Hydrol 252:116–125, 2001). In both the cases, the proposed model provides a very good description of water and air permeabilities over several orders of magnitude for the whole range of water saturation.
Facultad de Ciencias Astronómicas y Geofísicas - Materia
-
Astronomía
Air and water permeabilities
Fractals
Fractured rocks
Two-phase flow - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by/4.0/
- Repositorio
.jpg)
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/133607
Ver los metadatos del registro completo
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A Fractal Model for Predicting Water and Air Permeabilities of Unsaturated Fractured RocksMonachesi, Leonardo BrunoGuarracino, LuisAstronomíaAir and water permeabilitiesFractalsFractured rocksTwo-phase flowA fractal model to predict water and air permeabilities of unsaturated fractured rocks is presented. The derivation of the model is based on physical and geometric concepts. The pattern of the fracture network is assumed to be fractal and it is described by the Sierpinski carpet. The proposed expressions for the relative water and air permeabilities are closed-form and have five independent parameters: the fractal dimension, the minimum and maximum fracture apertures and the emergence points for water and air flows. The ability of the model to describe experimental data is illustrated by fitting the derived analytical curve to measured data from Grimsel Test Site (Switzerland) and numerical experiments designed by Liu and Bodvarsson (J Hydrol 252:116–125, 2001). In both the cases, the proposed model provides a very good description of water and air permeabilities over several orders of magnitude for the whole range of water saturation.Facultad de Ciencias Astronómicas y Geofísicas2011-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf779-789http://sedici.unlp.edu.ar/handle/10915/133607enginfo:eu-repo/semantics/altIdentifier/issn/0169-3913info:eu-repo/semantics/altIdentifier/issn/1573-1634info:eu-repo/semantics/altIdentifier/doi/10.1007/s11242-011-9815-9info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:31:52Zoai:sedici.unlp.edu.ar:10915/133607Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:31:53.258SEDICI (UNLP) - Universidad Nacional de La Platafalse |
| dc.title.none.fl_str_mv |
A Fractal Model for Predicting Water and Air Permeabilities of Unsaturated Fractured Rocks |
| title |
A Fractal Model for Predicting Water and Air Permeabilities of Unsaturated Fractured Rocks |
| spellingShingle |
A Fractal Model for Predicting Water and Air Permeabilities of Unsaturated Fractured Rocks Monachesi, Leonardo Bruno Astronomía Air and water permeabilities Fractals Fractured rocks Two-phase flow |
| title_short |
A Fractal Model for Predicting Water and Air Permeabilities of Unsaturated Fractured Rocks |
| title_full |
A Fractal Model for Predicting Water and Air Permeabilities of Unsaturated Fractured Rocks |
| title_fullStr |
A Fractal Model for Predicting Water and Air Permeabilities of Unsaturated Fractured Rocks |
| title_full_unstemmed |
A Fractal Model for Predicting Water and Air Permeabilities of Unsaturated Fractured Rocks |
| title_sort |
A Fractal Model for Predicting Water and Air Permeabilities of Unsaturated Fractured Rocks |
| dc.creator.none.fl_str_mv |
Monachesi, Leonardo Bruno Guarracino, Luis |
| author |
Monachesi, Leonardo Bruno |
| author_facet |
Monachesi, Leonardo Bruno Guarracino, Luis |
| author_role |
author |
| author2 |
Guarracino, Luis |
| author2_role |
author |
| dc.subject.none.fl_str_mv |
Astronomía Air and water permeabilities Fractals Fractured rocks Two-phase flow |
| topic |
Astronomía Air and water permeabilities Fractals Fractured rocks Two-phase flow |
| dc.description.none.fl_txt_mv |
A fractal model to predict water and air permeabilities of unsaturated fractured rocks is presented. The derivation of the model is based on physical and geometric concepts. The pattern of the fracture network is assumed to be fractal and it is described by the Sierpinski carpet. The proposed expressions for the relative water and air permeabilities are closed-form and have five independent parameters: the fractal dimension, the minimum and maximum fracture apertures and the emergence points for water and air flows. The ability of the model to describe experimental data is illustrated by fitting the derived analytical curve to measured data from Grimsel Test Site (Switzerland) and numerical experiments designed by Liu and Bodvarsson (J Hydrol 252:116–125, 2001). In both the cases, the proposed model provides a very good description of water and air permeabilities over several orders of magnitude for the whole range of water saturation. Facultad de Ciencias Astronómicas y Geofísicas |
| description |
A fractal model to predict water and air permeabilities of unsaturated fractured rocks is presented. The derivation of the model is based on physical and geometric concepts. The pattern of the fracture network is assumed to be fractal and it is described by the Sierpinski carpet. The proposed expressions for the relative water and air permeabilities are closed-form and have five independent parameters: the fractal dimension, the minimum and maximum fracture apertures and the emergence points for water and air flows. The ability of the model to describe experimental data is illustrated by fitting the derived analytical curve to measured data from Grimsel Test Site (Switzerland) and numerical experiments designed by Liu and Bodvarsson (J Hydrol 252:116–125, 2001). In both the cases, the proposed model provides a very good description of water and air permeabilities over several orders of magnitude for the whole range of water saturation. |
| publishDate |
2011 |
| dc.date.none.fl_str_mv |
2011-12 |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Articulo http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
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article |
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publishedVersion |
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http://sedici.unlp.edu.ar/handle/10915/133607 |
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| dc.language.none.fl_str_mv |
eng |
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eng |
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info:eu-repo/semantics/altIdentifier/issn/0169-3913 info:eu-repo/semantics/altIdentifier/issn/1573-1634 info:eu-repo/semantics/altIdentifier/doi/10.1007/s11242-011-9815-9 |
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openAccess |
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http://creativecommons.org/licenses/by/4.0/ Creative Commons Attribution 4.0 International (CC BY 4.0) |
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