# Modeling of Transient Two Dimensional Flow in Saturated-Unsaturated Porous Media

• Hassan Lemacha Laboratory of Applied Geology, Geomatics and Environment, Department of Geology, Faculty of Sciences Ben M'sik, Hassan II-Casablanca University, B.P 7955, Sidi Othmane, Casablanca, Morocco
• Abdellatif Maslouhi Interdisciplinary Laboratory for Natural Resources and Environment, Department of Physics, Faculty of Sciences, Ibn Tofail University, B.P 242, 14000 Kenitra, Morocco
• Moumtaz Razack Department of Hydrogeology UMR 6532, University of Poitiers, 40 Avenue du Recteur Pineau, 86022 Poitiers Cedex, France

### Abstract

We study the transient two-dimensional flow problems related to the recharge of groundwater using an approach based on the physics of water transfer in the whole domain, including both the saturated and the unsaturated zones. Such a domain is limited by the soil surface and by the lower impervious boundary of the aquifer. The flow problem is solved using a numerical iterative procedure based on the alternate directions implicit finite differences method. To simulate the water transfer in an unsaturatedsaturated porous medium, we developed a mathematical model based on a single flow equation used for both zones. To this end, the unsaturated and saturated zones are regarded as only one continuum and the Richards equation is used for both zones. The simulated results were validated by the calculation of the mass balance, then on values obtained by an experimental model of 160 cm length and 50 cm in height. The numerical model reproduces in a satisfactory way the experimental results giving the spacetime evolution of the level of water table.

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Published
2017-04-30
How to Cite
Lemacha, H., Maslouhi, A., & Razack, M. (2017). Modeling of Transient Two Dimensional Flow in Saturated-Unsaturated Porous Media. European Scientific Journal, ESJ, 13(12), 195. https://doi.org/10.19044/esj.2017.v13n12p195
Section
Articles