Radial well aquifer benchmark (Water Module)

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This testcase demonstrates a situation where a well is pumping up ground water. A characteristic ground water level curve will form over time.

Drainage freatic benchmark.gif

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

UNDERGROUND is set to true (1.0)

References

  1. Verruijt, A. (1970). Theory of Groundwater Flow. Macmillan, London.