Open AccessModeling of Transient Two Dimensional Flow in Saturated-Unsaturated Porous Media
Author(s) -
Hassan Lemacha,
Abdellatif Maslouhi,
Moumtaz Razack
Publication year - 2017
Publication title -
european scientific journal
Language(s) - English
Resource type - Journals
eISSN - 1857-7881
pISSN - 1857-7431
DOI - 10.19044/esj.2017.v13n12p195
Subject(s) - richards equation , vadose zone , porous medium , impervious surface , water table , aquifer , mechanics , flow (mathematics) , mass transfer , geotechnical engineering , boundary value problem , transient flow , groundwater recharge , mathematics , geology , water flow , transient (computer programming) , porosity , groundwater , mathematical analysis , physics , water content , computer science , geomorphology , ecology , surge , biology , operating system
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.