A Simple Hysteretic Constitutive Model for Unsaturated Flow

In this paper, we present a constitutive model to describe unsaturated flow that considers the hysteresis phenomena. This constitutive model provides simple mathematical expressions for both saturation and hydraulic conductivity curves, and a relationship between permeability and porosity. The model...

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Detalles Bibliográficos
Autores principales:	Soldi, Mariangeles, Guarracino, Luis, Jougnot, Damien
Formato:	Articulo Preprint
Lenguaje:	Inglés
Publicado:	2017
Materias:	Astronomía constitutive model unsaturated flow Hysteresis phenomena saturation hydraulic conductivity
Acceso en línea:	http://sedici.unlp.edu.ar/handle/10915/105325 https://link.springer.com/article/10.1007/s11242-017-0920-2
Aporte de:	SEDICI (UNLP) de Universidad Nacional de La Plata

id	I19-R120-10915-105325
record_format	dspace
institution	Universidad Nacional de La Plata
institution_str	I-19
repository_str	R-120
collection	SEDICI (UNLP)
language	Inglés
topic	Astronomía constitutive model unsaturated flow Hysteresis phenomena saturation hydraulic conductivity
spellingShingle	Astronomía constitutive model unsaturated flow Hysteresis phenomena saturation hydraulic conductivity Soldi, Mariangeles Guarracino, Luis Jougnot, Damien A Simple Hysteretic Constitutive Model for Unsaturated Flow
topic_facet	Astronomía constitutive model unsaturated flow Hysteresis phenomena saturation hydraulic conductivity
description	In this paper, we present a constitutive model to describe unsaturated flow that considers the hysteresis phenomena. This constitutive model provides simple mathematical expressions for both saturation and hydraulic conductivity curves, and a relationship between permeability and porosity. The model is based on the assumption that the porous media can be represented by a bundle of capillary tubes with throats or “ink bottles” and a fractal pore size distribution. Under these hypotheses, hysteretic curves are obtained for saturation and relative hydraulic conductivity in terms of pressure head. However, a non-hysteretic relationship is obtained when relative hydraulic conductivity is expressed as a function of saturation. The proposed relationship between permeability and porosity is similar to the well-known Kozeny–Carman equation but depends on the fractal dimension. The performance of the constitutive model is tested against different sets of experimental data and previous models. In all of the cases, the proposed expressions fit fairly well the experimental data and predicts values of permeability and hydraulic conductivity better than others models.
format	Articulo Preprint
author	Soldi, Mariangeles Guarracino, Luis Jougnot, Damien
author_facet	Soldi, Mariangeles Guarracino, Luis Jougnot, Damien
author_sort	Soldi, Mariangeles
title	A Simple Hysteretic Constitutive Model for Unsaturated Flow
title_short	A Simple Hysteretic Constitutive Model for Unsaturated Flow
title_full	A Simple Hysteretic Constitutive Model for Unsaturated Flow
title_fullStr	A Simple Hysteretic Constitutive Model for Unsaturated Flow
title_full_unstemmed	A Simple Hysteretic Constitutive Model for Unsaturated Flow
title_sort	simple hysteretic constitutive model for unsaturated flow
publishDate	2017
url	http://sedici.unlp.edu.ar/handle/10915/105325 https://link.springer.com/article/10.1007/s11242-017-0920-2
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bdutipo_str	Repositorios
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A Simple Hysteretic Constitutive Model for Unsaturated Flow

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