A dry zone-wet zone based modeling of surface water and groundwater interaction for generalized ground profile

An integrated groundwater-surface water interaction model is proposed for generalized ground surface profile. To simulate ground water flow, Boussinesq's equation and Darcy's law are applied. Surface water formulation utilizes depth averaged Navier-Stokes equation of continuity and momentum. The mathematical model uses finite difference method with upwinding scheme for discretization of the governing equations and Newton-Rhapson method for solving the equations. A novel dry zone-wet zone theory is proposed for modeling the system. It is assumed that the spatial domain is made up of dry and wet zones. Further, dry and wet zones are considered as clusters of dry and wet cells respectively. Verification of the model is performed for beach with vertical and inclined faces. Test results show that numerical simulation results are in good agreement with the analytical/experimental ones. Experimental verification of the model is performed using a sand-box set-up. Observation data obtained from pressure sensors show good match with the numerical solution. A plausible field situation is considered with arbitrary generalized ground surface profile. Obtained numerical solution for the generalized ground profile shows intuitively correct results. The coastal wetland with arbitrary ground profile demonstrates the potential applicability of the integrated groundwater-surface water interaction model for generalized ground surface conditions. (C) 2014 Elsevier B.V. All rights reserved.