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

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.

Integrated Geological and Geophysical Mapping for Groundwater Potential Studies at Ekwegbe-Agu and Environs, Enugu State, Nigeria

“…This categorization is due to the differences in the physics of water flow in saturated and unsaturated zones and to comprehend these, the distribution of geological materials with differing hydraulic conductivity and porosity is essential [3]. In groundwater potential studies, the knowledge of the geology of the area under investigation is very crucial as the understanding of the geology of the site helps to delineate possible saturated zones from unsaturated zones beneath the crust and this helps in the exploration of groundwater [4]. The Exploration of groundwater is of the utmost significance because homes and businesses require water for a variety of essential functions, including cooking, drinking, and construction purposes.…”

Reliability analysis of slope stability in earthen dams following rapid drawdown

“…Groundwater seepage has been the subject of many studies. Lemacha et al [1] used the nonlinear Richards's equation which deals with saturated-unsaturated fl ows through porous media and solved the fl ow problem by means of a numerical iterative procedure based on the alternate directions implicit fi nite difference method. Botos [2] carried out a research to determine seepage characteristics for different exploitation strategies of water reservoirs.…”