The salt intrusion phenomenon is caused by overexploitation of
aquifers in coastal areas. This physical phenomenon has been the subject of
numerous studies and numerous methods have been
proposed, with the aim of protecting the quality of the water in these
aquifers. This work proposes a two-dimensional saline intrusion model
using the sharp interface approach and the level set method. It consists of a
parabolic equation modeling the underground flow and a hyperbolic Equation (the
level set equation) which makes it possible to track the evolution of the
interface. High-order numerical schemes such as the space scheme WENO5 and the
third-order time scheme TVD-RK were used for the numerical
resolution of the hyperbolic equation. To limit the tightening of the contour
curves of the level set function, the redistanciation or reinitialization algorithm proposed by Sussma et al. (1994) was used. To ensure the effectiveness and reliability of the proposed
method, two tests relating to the standard Henry problem and the modified Henry
problem were performed. Recall that Henry’s problem uses the variable density
modeling approach in a confined and homogeneous aquifer. By comparing the
results obtained by the level set method with
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