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

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 (<CitationRef CitationID="CR6">1961</CitationRef>), particularly for problems with low ratios of well screen length to aquifer thickness. Furthermore, the predicted drawdown from Hantush’s solution (<CitationRef CitationID="CR6">1961</CitationRef>) differs from that of Yang et al.’s solution Water Resour Res 42:W0552, (<CitationRef CitationID="CR16">2006</CitationRef>) only near the well and at small time values as indicated in Yang et al. Water Resour Res 42:W0552, (<CitationRef CitationID="CR16">2006</CitationRef>). Our solution is based on Green’s function with a columnar source (sink) that represents pumping from a finite-radius well. Hantush’s solution (<CitationRef CitationID="CR6">1961</CitationRef>) and Yang et al.’s solution Water Resour Res 42:W0552, (<CitationRef CitationID="CR16">2006</CitationRef>), however, were derived from Laplace transform techniques for pumping in a well with an infinitesimal and a finite radius, respectively. Copyright Springer Science+Business Media B.V. 2012