This manuscript is focused on the mechanisms of water evaporation and the phenomena affecting its migration toward the groundwater. The objective is to estimate the essential parameters which govern the diffusion transfer. The phenomenological parameters used in the model are obtained experimentally and the mass transfer equations have been solved by adopting finite volume method for equations discretization and the eccentric upstream diagram method specifically for convection. The numerical results obtained are in good agreement with experimental results. These results show that the gap between the simulated and the experimental kinetics is less than 2% at the beginning of transfer mechanisms. This gap will decrease very quickly to reach zero. The model can also suitably reproduce water content profiles on the length of the soil column. The difference between experiment and numerical profiles range from 1 to 5% in the upper part and around 2% in the bottom part of the column. Finally we can notice that hygroscopic effects of arid soil can change the transport behavior of water and affect its convective transfer.

numerical model, eccentric upstream, hygroscopic soil, convection, profiles