# Neuman Solution for Unconfined Aquifers

Related Solution Methods

Additional Topics

A mathematical solution by Tartakovsky and Neuman (2007) is useful for determining the hydraulic properties (transmissivity, elastic storage coefficient, specific yield and vertical hydraulic conductivity) of **unconfined** aquifers. Analysis involves matching the solution to drawdown data collected during a pumping test. The Tartakovsky and Neuman solution accounts for delayed gravity response, partial penetration and three-dimensional unsaturated flow.

AQTESOLV provides visual and automatic methods for matching the Neuman solution to pumping test and recovery test data. This easy-to-use and intuitive software promotes rapid and accurate determination of aquifer properties.

## Assumptions

The following assumptions apply to the use of the Tartakovsky and Neuman solution for pumping tests in unconfined aquifers:

- aquifer has infinite areal extent
- aquifer is homogeneous, isotropic and of uniform thickness
- aquifer is unconfined
- flow is unsteady
- diameter of control well is very small so that storage in the well can be neglected

## Solution

Options

AQTESOLV provides the following options for the Tartakovsky and Neuman solution for pumping tests in water-table aquifers:

- variable pumping rates
- multiple pumping wells
- multiple observation wells
- partially penetrating pumping and observation wells
- boundaries

## References

Tartakovsky, G.D. and S.P. Neuman, 2007. Three-dimensional saturated-unsaturated flow with axial symmetry to a partially penetrating well in a compressible unconfined aquifer, Water Resources Research, W01410, doi:1029/2006WR005153.