Multi-layer insulation: Difference between revisions
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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. | |||
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} | |||
\frac{\partial P}{\partial z} &= -\gamma = -\rho \, g \\[0.5em] | |||
\frac{\partial h}{\partial z} &= 0 | |||
\end{align}</math> | |||
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]]. | |||
==References== | |||
*{{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}} | |||
[[Category:Aquifers]] | |||
[[Category:Hydraulic engineering]] | |||
[[Category:Hydrology]] | |||
Revision as of 14:42, 16 March 2013
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 solutions.
The Dupuit assumption requires that the water table is relatively flat, and that the groundwater is hydrostatic (i.e., the equipotential lines are vertical):
![{\begin{aligned}{\frac {\partial P}{\partial z}}&=-\gamma =-\rho \,g\\[0.5em]{\frac {\partial h}{\partial z}}&=0\end{aligned}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/a48a3be6e9ed2acc204ba1ab50aa2eb97d3bf256)
where is the vertical pressure gradient, is the specific weight, is the density of water, is the standard gravity, and is the vertical hydraulic gradient.
References
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