Abstract
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)∇urepresenting the flux tensor of the primal variableu= (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.
Highlights
In many countries and regions all over the globe, groundwater is considered the primary source of freshwater supply
For the time discretization of this new mixed formulation, we use a semi-implicit scheme, and we show that the problem is well posed
In coastal areas, a hydraulic exchange between groundwater and seawater may occur. This exchange may arise for two main reasons: natural conditions such as the decline of the water table after a dry period or human impact such as intensive pumping
Summary
In many countries and regions all over the globe, groundwater is considered the primary source of freshwater supply. In coastal areas, a hydraulic exchange between groundwater and seawater may occur This exchange may arise for two main reasons: natural conditions such as the decline of the water table after a dry period or human impact such as intensive pumping. Building a model, which simulates the movement of saltwater fronts in the coastal aquifer, is important for reasonable groundwater development and freshwater preservation. Within this context, several models based on numerical methods have been proposed and evaluated in the literature, see [1,2,3-6]. The use of the mixed sharp/diffuse interface approach provides a result of solution regularity.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
