Butler Solution for a Confined Aquifer with Nonuniform Properties

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Butler (1998)

Butler Solution for Confined Aquifers with Nonuniform Properties

Description

A mathematical solution by Butler (1988) is useful for determining the hydraulic properties (transmissivity and storativity of two zones) of confined aquifers with nonuniform properties. The solution assumes the pumping well is located at the center of a disk embedded within an infinite matrix. Hydraulic properties are assumed uniform within each zone (disk and matrix), but may differ between the two zones. Analysis involves matching the Butler solution to water-level displacement data collected during a pumping test.

AQTESOLV for Windows provides visual and automatic methods for matching the Butler solution to pumping 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 Butler solution:

	aquifer has infinite areal extent
	aquifer is heterogeneous with a disk embedded within a matrix
	pumping well is fully penetrating
	flow to pumping well is horizontal
	aquifer is confined
	flow is unsteady
	water is released instantaneously from storage with decline of hydraulic head
	diameter of pumping well is very small so that storage in the well can be neglected

Solution Options

AQTESOLV for Windows provides the following options for the Butler solution:

	variable pumping rates
	multiple observation wells

References

Butler, J.J., Jr., 1988. Pumping tests in nonuniform aquifers�the radially symmetric case, Journal of Hydrology, vol. 101, pp. 15-30.