Cress Help - Ground water flow - Complete tailwater - B26.3

Radial flow

This calculation rule calculates the groundwater levels or hydraulic heads of some basic situations in areas with confined and unconfined aquifers and with phreatic water. The theory behind these calculation examples is also examined, by means of which complex situations can be manually calculated. Darcy’s law can also be shown and it is possible to use them to make a calculation. The WATEX and MODUFLOW computer programs can also be used to calculate groundwater flow.

Confined aquifer (complete tailwater)

Radial flow to a well in a circular island:

The differential equation after conversion to polar coordinates for radial flow is: The general solution of this is:

The boundary conditions are:

The solution is now:

and for multiple wells or springs close to the centre (superposition principle)

Well flow is positive, spring flow is negative. Moreover:

in which :