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 repre...

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Bibliographic Details
Published inE3S Web of Conferences Vol. 314; p. 5004
Main Authors Medarhri, Ibtissam, Farhloul, Mohamed, Najib, Khalid, Slimani, Soumia, Zine, Abdelmalek
Format Journal Article Conference Proceeding
LanguageEnglish
Published Les Ulis EDP Sciences 01.01.2021
Subjects
Aquifers
Coastal aquifers
Confined aquifers
Finite element method
Mathematical analysis
Matrices (mathematics)
Piezometric head
Saline water intrusion
Salt water intrusion
Seawater
Tensors
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Summary: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 , Φ f ) T . Here, h represents the depth of the salt/freshwater interface, Φ f , 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.
ISSN:2267-1242
2555-0403
2267-1242
DOI:10.1051/e3sconf/202131405004