A Fractal Model for Predicting Water and Air Permeabilities of Unsaturated Fractured Rocks

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 expres...

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Detalles Bibliográficos
Autores principales: Monachesi, Leonardo Bruno, Guarracino, Luis
Formato: Articulo
Lenguaje:Inglés
Publicado: 2011
Materias:
Astronomía
Air and water permeabilities
Fractals
Fractured rocks
Two-phase flow
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/133607
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-133607
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Astronomía
Air and water permeabilities
Fractals
Fractured rocks
Two-phase flow
spellingShingle Astronomía
Air and water permeabilities
Fractals
Fractured rocks
Two-phase flow
Monachesi, Leonardo Bruno
Guarracino, Luis
A Fractal Model for Predicting Water and Air Permeabilities of Unsaturated Fractured Rocks
topic_facet Astronomía
Air and water permeabilities
Fractals
Fractured rocks
Two-phase flow
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.
format Articulo
Articulo
author Monachesi, Leonardo Bruno
Guarracino, Luis
author_facet Monachesi, Leonardo Bruno
Guarracino, Luis
author_sort Monachesi, Leonardo Bruno
title A Fractal Model for Predicting Water and Air Permeabilities of Unsaturated Fractured Rocks
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 fractal model for predicting water and air permeabilities of unsaturated fractured rocks
publishDate 2011
url http://sedici.unlp.edu.ar/handle/10915/133607
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AT monachesileonardobruno fractalmodelforpredictingwaterandairpermeabilitiesofunsaturatedfracturedrocks
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