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Título: | Steady-state water table height estimations with an improved pseudo-two-dimensional Dupuit-Forchheimer type model |
Autor: | Castro-Orgaz, Óscar CSIC; Giráldez, Juan Vicente CSIC ORCID | Palabras clave: | Approximate two-dimensional model Water table Seepage surface Dupuit-Forchheimer models Recharge |
Fecha de publicación: | 17-may-2012 | Editor: | Elsevier | Citación: | Journal of Hydrology 438-439: 194-202 (2012) | Resumen: | The study of unconfined steady aquifer flow is usually based on either the numerical integration of the Laplace equation or on its analytical solution using the complex variable theory. A further approach that uses Adomian's method of decomposition yields simple analytical solutions in higher dimensions, does not require linearisation of the free-surface boundary condition and yields the elevation of the seepage face. A common approach is the introduction of simplified one-dimensional models that are often accurate enough for practical applications. However, the water table estimates derived by the so-called Dupuit-Forchheimer theory do not always fulfil the required accuracy. This work improves the Dupuit-Forcheimer hypotheses to obtain more precise results. For this purpose, the stream function of the groundwater flow net is formulated in natural, curvilinear coordinates. Next, an approximate one-dimensional model for the water table height is derived considering Darcy's law, retaining the curved features of the flow net. The proposed model is a higher order Dupuit-Forchheimer type approach, which was favourably compared with 2D results for Polubarinova-Kochina's rectangular dam problem and the drainage to symmetrically located ditches under steady-state conditions. © 2012 Elsevier B.V. | URI: | http://hdl.handle.net/10261/92480 | DOI: | 10.1016/j.jhydrol.2012.03.023 | Identificadores: | doi: 10.1016/j.jhydrol.2012.03.023 issn: 0022-1694 |
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