New solutions to the constant-head test performed at a partially penetrating well

Y. C. Chang, Hund-Der Yeh*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

24 Scopus citations

Abstract

The mathematical model describing the aquifer response to a constant-head test performed at a fully penetrating well can be easily solved by the conventional integral transform technique. In addition, the Dirichlet-type condition should be chosen as the boundary condition along the rim of wellbore for such a test well. However, the boundary condition for a test well with partial penetration must be considered as a mixed-type condition. Generally, the Dirichlet condition is prescribed along the well screen and the Neumann type no-flow condition is specified over the unscreened part of the test well. The model for such a mixed boundary problem in a confined aquifer system of infinite radial extent and finite vertical extent is solved by the dual series equations and perturbation method. This approach provides analytical results for the drawdown in the partially penetrating well and the well discharge along the screen. The semi-analytical solutions are particularly useful for the practical applications from the computational point of view.

Original languageEnglish
Pages (from-to)90-97
Number of pages8
JournalJournal of Hydrology
Volume369
Issue number1-2
DOIs
StatePublished - 5 May 2009

Keywords

  • Confined aquifer
  • Dual series equations
  • Groundwater
  • Mixed boundary value problem
  • Perturbation method
  • Semi-analytical solution

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