# Murdoch Solution for Flow to an Interceptor Trench in Confined Aquifers

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Additional Topics

A mathematical solution by Murdoch (1994) is useful for determining the hydraulic properties (hydraulic conductivity, specific storage, hydraulic conductivity anisotropy and trench length) of **nonleaky confined** aquifers with pumping from an interceptor trench. Analysis involves matching the solution to drawdown data collected during a pumping test. The solution estimates hydraulic conductivity anisotropy in a horizontal (x-y) plane.

AQTESOLV provides visual and automatic methods for matching the Murdoch 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 Murdoch trench solution:

- aquifer has infinite areal extent
- aquifer has uniform thickness
- aquifer potentiometric surface is initially horizontal
- trench is fully penetrating
- aquifer is nonleaky confined
- flow is unsteady
- water is released instantaneously from storage with decline of hydraulic head

## Solution

Options

AQTESOLV provides the following options for the Murdoch trench solution:

- variable pumping rates
- multiple pumping wells
- multiple observation wells

## References

Murdoch, L.C., 1994. Transient analyses of an interceptor trench, Water Resources Research, vol. 30, no. 11, pp. 3023-3031.