Effect of Well Radius on Drawdown Solutions Obtained with Laplace Transform and Green's Function

Chiu Shia Fen, Hund-Der Yeh*

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    9 Scopus citations

    Abstract

    We have developed a drawdown solution for a partially penetrating well under constant flux pumping in a confined aquifer with finite thickness. The predictions of our solution diverge from the predictions of Hantush's solution (1961), particularly for problems with low ratios of well screen length to aquifer thickness. Furthermore, the predicted drawdown from Hantush's solution (1961) differs from that of Yang et al.'s solution Water Resour Res 42:W0552, (2006) only near the well and at small time values as indicated in Yang et al. Water Resour Res 42:W0552, (2006). Our solution is based on Green's function with a columnar source (sink) that represents pumping from a finite-radius well. Hantush's solution (1961) and Yang et al.'s solution Water Resour Res 42:W0552, (2006), however, were derived from Laplace transform techniques for pumping in a well with an infinitesimal and a finite radius, respectively.

    Original languageEnglish
    Pages (from-to)377-390
    Number of pages14
    JournalWater Resources Management
    Volume26
    Issue number2
    DOIs
    StatePublished - 1 Jan 2012

    Keywords

    • Analytical solutions
    • Confined aquifer
    • Green's function
    • Groundwater hydraulics
    • Laplace transform
    • Partially penetrating well

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