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| The '''Dupuit assumption''' holds that [[groundwater]] moves horizontally in an [[unconfined aquifer]], and that the [[groundwater discharge]] is proportional to the saturated [[aquifer]] thickness. It was first designed by [[Jules Dupuit]] in 1863 to simplify the [[groundwater flow equation]] for [[analytical solution]]s.
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| The Dupuit assumption requires that the [[water table]] is relatively flat, and that the groundwater is [[hydrostatic]] (i.e., the [[equipotential]] lines are vertical): | |
| :<math>\begin{align}
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| \frac{\partial P}{\partial z} &= -\gamma = -\rho \, g \\[0.5em]
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| \frac{\partial h}{\partial z} &= 0
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| \end{align}</math>
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| where <math>\partial P/\partial z</math> is the vertical pressure gradient, <math>\gamma</math> is the [[specific weight]], <math>\rho</math> is the density of water, <math>g</math> is the [[standard gravity]], and <math>\partial h/\partial z</math> is the vertical [[hydraulic gradient]].
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| ==References==
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| *{{cite book |author=Dupuit, J. |year=1863 |title=Estudes Thèoriques et Pratiques sur le mouvement des Eaux dans les canaux dècouverts et à travers les terrains permèables |edition=Second Edition |publisher=Dunod |location=Paris}}
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| [[Category:Aquifers]]
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| [[Category:Hydraulic engineering]]
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| [[Category:Hydrology]]
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Latest revision as of 15:09, 7 December 2014
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