Radial well aquifer benchmark (Water Module): Difference between revisions
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: <math>R</math>: distance of the considered stable water table edge to the well | : <math>R</math>: distance of the considered stable water table edge to the well | ||
: <math>Q_0</math>: amount of water pumped out in m³ / day | : <math>Q_0</math>: amount of water pumped out in m³ / day | ||
===Setup=== | |||
We use the following setup in our tests. The grid size used is 51 by 51, with a configurable cell size of <math>dx</math> in meters. There is one underground outlet, which pumps water away continuously with a default amount per second. | |||
The outlet is placed on the cells x = 25 and y = 25 as an [[inlet]] with a negative inlet . | |||
[[Inlet q (Water Overlay)|Inlet Q]] is set to <math>\frac{-Q_0}{3600*24}</math> | |||
===References=== | ===References=== |
Revision as of 15:37, 16 December 2020
This testcase demonstrates a situation where a well is pumping up ground water. A characteristic ground water level curve will form over time.
Formulas
Stationary lowering of the ground water table in a closed water transmissive layer can be described by the following formula [1]
where:
- : stable water level at the considered stable water table edge
- : water level between the considered stable water table edge and the well
- : water level in the well
- : transmissivity of the aquifer in m² / day
- : distance to the well
- : distance of the considered stable water table edge to the well
- : amount of water pumped out in m³ / day
Setup
We use the following setup in our tests. The grid size used is 51 by 51, with a configurable cell size of in meters. There is one underground outlet, which pumps water away continuously with a default amount per second.
The outlet is placed on the cells x = 25 and y = 25 as an inlet with a negative inlet . Inlet Q is set to
References
- ↑ Verruijt, A. (1970). Theory of Groundwater Flow. Macmillan, London.