Analytical Solutions

Leaky Unconfined Aquifer

Multi-well Variable Rate Pumping Test Analysis (click on the figure to enlarge)
Schematic of leaky unconfined Aquifer

System Geometry

The schematic of system geometry for leaky unconfined aquifer pumping test is shown in adjacent figure.

The pumping well of finite radius rw is partially penetrating the leaky unconfined aquifer having initial saturated thickness b between depths l and d below the initial water table.

The pumping well has wellbore storage coefficient Cw (volume of water released from well storage per unit drawdown in it).

The observation well penetrating between depths z1 and z2 above the top boundary of underlying aquitard is located at distance r from the axis of the pumping well.

Analytical solutions for leaky unconfined aquifer

The following analytical solutions are implemented in WELLS for leaky unconfined aquifers:

  • Mishra and Vessilinov [2011] Solution : For partially penetrating well of finite radius with wellbore storage


  • Mishra P.K. and V.V. Vessilinov, 2011. Semi-analytical solution for Radial flow towards large diameter well in a leaky confined aquifer, Journal of Hydrology, In review.
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