A numerical approach for groundwater flow in unsaturated porous media
| Autor: | F. Quintana, R. Saliba, L. Guarracino |
|---|---|
| Rok vydání: | 2006 |
| Předmět: |
Hydrogeology
Discretization Groundwater flow Applied Mathematics Mechanical Engineering Computational Mechanics Richardson extrapolation Physics::Geophysics Computer Science Applications Hydraulic conductivity Mechanics of Materials Applied mathematics Richards equation Geotechnical engineering Galerkin method Porous medium Geology |
| Zdroj: | International Journal for Numerical Methods in Fluids. 51:1205-1215 |
| ISSN: | 1097-0363 0271-2091 |
| DOI: | 10.1002/fld.1201 |
| Popis: | In this article, a computational tool to simulate groundwater flow in variably saturated non-deformable fractured porous media is presented, which includes a conceptual model to obtain analytical expressions of water retention and hydraulic conductivity curves for fractured hard rocks and a numerical algorithm to solve the Richards equation. To calculate effective saturation and relative hydraulic conductivity curves we adopt the Brooks-Corey model assuming fractal laws for both aperture and number of fractures. A standard Galerkin formulation was employed to solve the Richards' equation together with a Crank-Nicholson scheme with Richardson extrapolation for the time discretization. The main contribution of this paper is to group an analytical model of the authors with a robust numerical algorithm designed to solve adequately the highly non-linear Richards' equation generating a tool for porous media engineering. |
| Databáze: | OpenAIRE |
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