Aquifers are subject to the intrusion of pollutants which may be of natural or anthropogenic origin. This can therefore affect human health through the consumption of borehole water, and also the development of vegetation. However, the natures of the adsorption and dispersion coefficients of the medium significantly influence the retention of pollutants in the underground environment. In this study, the advection dispersion equation is solved numerically to assess the concentration profile of salinity in aquifers for a distance-dependent dispersion coefficient problem. A distance-dependent adsorption coefficient is considered. Analysis of the results shows that the concentration profiles remain very sensitive to the distance-dependent adsorption coefficient. The results obtained show that by considering 0.1g / L of salinity as a guide value in the aquifer and by considering an initial source of pollutant sinusoidally and exponentially varying as a function of time, the necessary time for a drinking water point is prolonged when the dispersion coefficient is dependent on the distance and the adsorption coefficient constant. These results show the importance of measuring these parameters before usingthem in models.