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Drawdown in a finite circular aquifer with constant well discharge
Author(s) -
Kuiper L. K.
Publication year - 1972
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr008i003p00734
Subject(s) - aquifer , drawdown (hydrology) , isotropy , constant (computer programming) , aquifer test , groundwater , geology , homogeneous , artesian aquifer , geotechnical engineering , soil science , hydrology (agriculture) , mechanics , physics , thermodynamics , optics , groundwater recharge , computer science , programming language
An analytical solution, which was obtained previously by Muskat, is derived for the groundwater head in a confined, homogeneous, isotropic aquifer with a constant thickness and a circular impermeable boundary at radial distance a from a well penetrating the entire depth of the aquifer and discharging at a constant rate. The solution is compared with the Theis solution, which is valid for an aquifer of unlimited extent. The comparison shows that the two solutions agree very closely at radial distance r when Tt/Sa 2 < 0.25 and r/a ≤ 0.1, where t denotes the time since the well discharge began, T and S are the transmissivity and storage coefficients of the aquifer, and a is the radial distance to the circular impermeable boundary. The two solutions agree poorly when Tt/Sa 2 becomes larger than 1.0 or r/a ⋍ 1.0.