Water supply in the Saloum area is provided by the groundwater in the sandy-clay formations of the Continental Terminal. The presence of hypersaline waters from the Saloum River in the north and the ocean in the west, climate change and population growth are threatening groundwater resources, hence the need for a better understanding of the aquifer system. The aim of this work is to establish a hydrodynamic model that can reproduce the behaviour of flows by identifying the main recharge and evaporation mechanisms and estimating the hydrodynamic properties. The heterogeneity of the geological formation is at the root of a very large variation in the hydraulic parameters. This heterogeneity and the very limited uncertainty in the data justify opting for a stochastic modelling approach. The modelling is carried out under steady state conditions with imposed loads in order to quantify the natural flows passing through the aquifer and to understand the distribution of hydrodynamic parameters in order to reconstruct the piezometry. The probability densities for the values of permeability and recharge obtained indicate a high sensitivity of the simulations to these two parameters. The hydraulic conductivity values oscillate between 10-2 and 10-5 m.s-1 and are identical to those obtained by test pumping. The overall average balance shows a perfect balance between inflow and outflow. The average annual recharge of 13.98 mm is provided mainly by rainwater, and evapotranspiration is 13.65 mm. The model, which is deemed acceptable under steady-state conditions, will serve as the basis for modelling saline intrusion.