With the help of a two-phase flow model in a porous medium, the phenomenon of intrusion of seawater into freshwater is studied. The interface between these two phases is modeled as a sharp interface and its motion is studied using a regularized transport problem of the level set function. A numerical model is build by using for the two-phase flow the Crank Nicolson scheme and the  mixed finite element method. While for the transport problem, the second order characteristics method of the Runge-Kutta scheme and the  finite element method are used. Numerical simulation results related to the evolution of the interface under the effect of freshwater pumping are presented both when the domain is replenished with freshwater and when it is not.

Porous media, two-phase flow, freshwater, seawater, discretization, numerical simulation.

Received: November 13, 2022;  Accepted: December 26, 2022; Published: February 11, 2023

How to cite this article: BOKA Paul Emile, DAKOURI Dogba Narcisse and ADOU Kablan Jérôme, Numerical modeling of the seawater intrusion progress, Advances and Applications in Fluid Mechanics 30(1) (2023), 17-33. http://dx.doi.org/10.17654/0973468623002

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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