Communication Dans Un Congrès Année : 2021

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

Résumé

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.

Dates et versions

hal-04139476 , version 1 (23-06-2023)

Identifiants

Citer

Ibtissam Medarhri, Mohamed Farhloul, Khalid Najib, Soumia Slimani, Abdelmalek Zine. Mixed finite element method of a seawater intrusion problem in confined aquifers. SAWIS International Conference on GIS and Applied Computing for Water Resources (WMAD21), Sep 2021, Kenitra, France. pp.05004, ⟨10.1051/e3sconf/202131405004⟩. ⟨hal-04139476⟩
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