Mobilizable fresh water is a scarce and precious resource, generally stored in groundwater aquifers. Therefore, for effective management, it is essential to understand and simulate groundwater flow in saturated porous media. In our work, we presented the general principles of groundwater hydraulics and established the diffusivity equation. A numerical solution based on discretization using the finite difference method was developed. The results of the numerical simulation of a pumping test, performed using this mathematical model and represented by curves and tables showing the evolution of the head at a given distance from the well, were considered equivalent to those of an experimental setup. This allowed us to verify, in steady state, the radius of influence of the pumping test in the porous medium and, in transient state, its hydrodynamic parameters. The results obtained, compared with those of the numerical model, showed satisfactory agreement. This work opens up interesting perspectives for the modeling of aquifer systems and the management of groundwater resources.
