TY - JOUR

T1 - Effect of Well Radius on Drawdown Solutions Obtained with Laplace Transform and Green's Function

AU - Fen, Chiu Shia

AU - Yeh, Hund-Der

PY - 2012/1/1

Y1 - 2012/1/1

N2 - 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.

AB - 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.

KW - Analytical solutions

KW - Confined aquifer

KW - Green's function

KW - Groundwater hydraulics

KW - Laplace transform

KW - Partially penetrating well

UR - http://www.scopus.com/inward/record.url?scp=84855215734&partnerID=8YFLogxK

U2 - 10.1007/s11269-011-9922-y

DO - 10.1007/s11269-011-9922-y

M3 - Article

AN - SCOPUS:84855215734

VL - 26

SP - 377

EP - 390

JO - Water Resources Management

JF - Water Resources Management

SN - 0920-4741

IS - 2

ER -