Mixed finite element method of a seawater intrusion problem in confined aquifers

We consider a model mixing sharp and diﬀuse interface approach for the seawater intrusion phenomenon in confined aquifers. The aim of this work is to introduce and analyze a new mixed formulation, obtained by writing the problem into a matrix form, and introducing a new variable σ = R(u)∇u represent...

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Autores principales:	Medarhri Ibtissam, Farhloul Mohamed, Najib Khalid, Slimani Soumia, Zine Abdelmalek
Formato:	article
Lenguaje:	EN FR
Publicado:	EDP Sciences 2021
Materias:	Environmental sciences GE1-350
Acceso en línea:	https://doaj.org/article/0be76d1cc49b4bf4b8845d0d09367083
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spelling	oai:doaj.org-article:0be76d1cc49b4bf4b8845d0d093670832021-11-08T15:19:01ZMixed finite element method of a seawater intrusion problem in confined aquifers2267-124210.1051/e3sconf/202131405004https://doaj.org/article/0be76d1cc49b4bf4b8845d0d093670832021-01-01T00:00:00Zhttps://www.e3s-conferences.org/articles/e3sconf/pdf/2021/90/e3sconf_wmad2021_05004.pdfhttps://doaj.org/toc/2267-1242We consider a model mixing sharp and diﬀuse interface approach for the seawater intrusion phenomenon in confined aquifers. The aim of this work is to introduce and analyze a new mixed formulation, obtained by writing the problem into a matrix form, and introducing a new variable σ = R(u)∇u representing the flux tensor of the primal variable u = (h, Φf)T. Here, h represents the depth of the salt/freshwater interface, Φf, the hydraulic head of freshwater, and R(u) a symmetric and positive definite diﬀusion matrix. We show that the continuous problem is well-posed. For the time discretization of this new mixed formulation, we use a semi-implicit scheme, and we show that the problem is well posed.Medarhri IbtissamFarhloul MohamedNajib KhalidSlimani SoumiaZine AbdelmalekEDP SciencesarticleEnvironmental sciencesGE1-350ENFRE3S Web of Conferences, Vol 314, p 05004 (2021)
institution	DOAJ
collection	DOAJ
language	EN FR
topic	Environmental sciences GE1-350
spellingShingle	Environmental sciences GE1-350 Medarhri Ibtissam Farhloul Mohamed Najib Khalid Slimani Soumia Zine Abdelmalek Mixed finite element method of a seawater intrusion problem in confined aquifers
description	We consider a model mixing sharp and diﬀuse interface approach for the seawater intrusion phenomenon in confined aquifers. The aim of this work is to introduce and analyze a new mixed formulation, obtained by writing the problem into a matrix form, and introducing a new variable σ = R(u)∇u representing the flux tensor of the primal variable u = (h, Φf)T. Here, h represents the depth of the salt/freshwater interface, Φf, the hydraulic head of freshwater, and R(u) a symmetric and positive definite diﬀusion matrix. We show that the continuous problem is well-posed. For the time discretization of this new mixed formulation, we use a semi-implicit scheme, and we show that the problem is well posed.
format	article
author	Medarhri Ibtissam Farhloul Mohamed Najib Khalid Slimani Soumia Zine Abdelmalek
author_facet	Medarhri Ibtissam Farhloul Mohamed Najib Khalid Slimani Soumia Zine Abdelmalek
author_sort	Medarhri Ibtissam
title	Mixed finite element method of a seawater intrusion problem in confined aquifers
title_short	Mixed finite element method of a seawater intrusion problem in confined aquifers
title_full	Mixed finite element method of a seawater intrusion problem in confined aquifers
title_fullStr	Mixed finite element method of a seawater intrusion problem in confined aquifers
title_full_unstemmed	Mixed finite element method of a seawater intrusion problem in confined aquifers
title_sort	mixed finite element method of a seawater intrusion problem in confined aquifers
publisher	EDP Sciences
publishDate	2021
url	https://doaj.org/article/0be76d1cc49b4bf4b8845d0d09367083
work_keys_str_mv	AT medarhriibtissam mixedfiniteelementmethodofaseawaterintrusionprobleminconfinedaquifers AT farhloulmohamed mixedfiniteelementmethodofaseawaterintrusionprobleminconfinedaquifers AT najibkhalid mixedfiniteelementmethodofaseawaterintrusionprobleminconfinedaquifers AT slimanisoumia mixedfiniteelementmethodofaseawaterintrusionprobleminconfinedaquifers AT zineabdelmalek mixedfiniteelementmethodofaseawaterintrusionprobleminconfinedaquifers
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Mixed finite element method of a seawater intrusion problem in confined aquifers

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