Radial groundwater flow to a finite diameter well in a leaky confined aquifer with a finite-thickness skin

Shaw Yang Yang, Hund-Der Yeh*

*Corresponding author for this work

Research output: Contribution to journalArticle

15 Scopus citations

Abstract

A mathematical model that describes the drawdown due to constant pumpage from a finite radius well in a two-zone leaky confined aquifer system is presented. The aquifer system is overlain by an aquitard and underlain by an impermeable formation. A skin zone of constant thickness exists around the wellbore. A general solution to a two-zone leaky confined aquifer system in Laplace domain is developed and inverted numerically to the time-domain solution using the modified Crump (1976) algorithm. The results show that the drawdown distribution is significantly influenced by the properties and thickness of the skin zone and aquitard. The sensitivity analyses of parameters of the aquifer and aquitard are performed to illustrate their effects on drawdowns in a two-zone leaky confined aquifer system. For the negative-skin case, the drawdown is very sensitive to the relative change in the formation transmissivity. For the positive-skin case, the drawdown is also sensitive to the relative changes in the skin thickness, and both the skin and formation transmissivities over the entire pumping period and the well radius and formation storage coefficient at early pumping time.

Original languageEnglish
Pages (from-to)3382-3390
Number of pages9
JournalHydrological Processes
Volume23
Issue number23
DOIs
StatePublished - 1 Nov 2009

Keywords

  • Groundwater
  • Laplace transforms
  • Leaky confined aquifer
  • Sensitivity analysis
  • Skin effect

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