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In this study, a two-dimensional model for simulating water in homogeneous-heterogeneous, saturatedunsaturated porous media is presented. The model is based on the mixed-hybrid finite element method and the h-based form of the Richards equation is solved [16]. The time-varying infiltration is approximated by a number of piecewise linear elements of different lengths and slopes depending on the nature of the variation in infiltration rate. The unsaturated flow model (MHNS_2D) is applied to a variety of rigorous problem including transient flow in dry conditions and time-varying boundary conditions. It produces accurate predicted suction distribution in dry conditions compare to the analytical solution of J.R. Philip. It is also shown to provide good global water mass balance accuracy in simulations of vertical infiltration in spite of solving the h-based form of the Richards equation. MHNS_2D is used also to predict the water table fluctuation of an unconfined aquifer in response to time varying infiltration.

Application of the mixed hybrid Finite element approximation to Water transfers in variably Saturated porous media with timevarying Infiltration