Hantush Solution for Constant-Head Tests in Leaky Confined Aquifers

Well-aquifer configuration for Hantush (1959) solution for a constant-drawdown test in a leaky confined aquifer

Mahdi S. HantushA mathematical solution by Hantush (1959) is useful for determining the hydraulic properties (transmissivity and storativity) of a leaky confined aquifer. Analysis involves matching the Hantush solution to discharge data collected during a constant-head (constant-drawdown) test.

AQTESOLV provides visual and automatic methods for matching the Hantush solution to constant-head 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 Hantush solution for constant-head tests:

  • aquifer has infinite areal extent
  • aquifer is homogeneous, isotropic and of uniform thickness
  • potentiometric surface is initially horizontal
  • aquifer is leaky confined
  • flow is unsteady
  • wells are fully penetrating
  • water is released instantaneously from storage with decline of hydraulic head
  • aquitards have infinite areal extent, uniform vertical hydraulic conductivity and uniform thickness
  • aquitards are overlain or underlain by an infinite constant-head plane source
  • aquitards are incompressible (no storage)
  • flow in the aquitards is vertical

Solution
Options

provides the following options for the Hantush constant-drawdown test solution:

  • recovery

Benchmark

AQTESOLV benchmark for Hantush (1959) constant-drawdown solution for leaky confined aquifers
Comparison of AQTESOLV (blue line) and published Hantush (1959) discharge function values (symbols) for r/B=0.0001.

References

Hantush, M.S., 1959. Nonsteady flow to flow wells in leaky aquifers, Journal of Geophysical Research, vol. 64, no. 5, pp. 1043-1052.