Modeling of Transient Two Dimensional Flow in Saturated-Unsaturated Porous Media
Autor: | Hassan Lemacha, Moumtaz Razack, Abdellatif Maslouhi |
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Rok vydání: | 2017 |
Předmět: |
geography
geography.geographical_feature_category Water table 0211 other engineering and technologies Finite difference Groundwater flow equation Aquifer 02 engineering and technology Mechanics 010501 environmental sciences 01 natural sciences Physics::Geophysics 021105 building & construction Two-dimensional flow Geotechnical engineering Richards equation Porous medium Groundwater 0105 earth and related environmental sciences |
Zdroj: | European Scientific Journal, ESJ. 13:195 |
ISSN: | 1857-7431 1857-7881 |
DOI: | 10.19044/esj.2017.v13n12p195 |
Popis: | 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. |
Databáze: | OpenAIRE |
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