A new model for soil–water drainage problems |
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Authors: | Oscar Castro-Orgaz |
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Institution: | 1.Instituto de Agricultura Sostenible, Consejo Superior de Investigaciones Cientificas, Finca Alameda del Obispo,Cordoba,Spain |
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Abstract: | Seepage flow is an agent related to the transport and dispersion of contamination in groundwater. Steady two-dimensional seepage
flow is governed by Laplace’s equation, for which several solution techniques are available. Because computations are complex
from a practical point of view, simplified models encompass the Dupuit-Forchheimer approach assuming a horizontal flow. However
this approach is inaccurate in seepage problems involving steep drawdowns. In this research, a new theoretical model for 2D
seepage flow is proposed based on Fawer’s theory for curved flows Castro-Orgaz (Environ Fluid Mech 10(3):2971–2310, 2010),
from which a second-order equation results describing the seepage surface. From this development, a numerical solution for
the rectangular dam problem based on the second-order model is presented, whereas a simple first-order equation is found to
describe flow to drains under a uniform rainfall. The results of this new model are compared with the full 2D solution of
Laplace’s equation for typical test cases, resulting in an excellent agreement. |
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