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NONSTEADY FLOW TO A WELL WITH TIME DEPENDENT DRAWDOWN 1
Author(s) -
Williams Roy A.,
Lai Robert Y.,
Karadi Gabor M.
Publication year - 1972
Publication title -
jawra journal of the american water resources association
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.957
H-Index - 105
eISSN - 1752-1688
pISSN - 1093-474X
DOI - 10.1111/j.1752-1688.1972.tb05138.x
Subject(s) - drawdown (hydrology) , aquifer , laplace transform , transmissibility (structural dynamics) , mechanics , hydraulic head , exponential function , flow (mathematics) , constant (computer programming) , radius , groundwater flow equation , mathematics , geology , geotechnical engineering , mathematical analysis , soil science , physics , groundwater flow , computer science , groundwater , computer security , vibration isolation , quantum mechanics , vibration , programming language
Confined flow toward a single well of finite radius in an extensive aquifer of uniform transmissibility is studied under the assumption of time‐dependent drawdown. Three particular cases are considered: (a) linear drawdown (including constant drawdown); (b) exponential drawdown; (c) periodic (sinusoidal) drawdown. The differential equation governing unsteady axial symmetric flow toward a single well in a confined aquifer is solved for the three different situations by the use of the Laplace transform method. The resulting expressions are integrated by adapting a modified Gemant scheme. General computer programs have been developed and operated for several combinations of characteristics. The results are plotted to show the effect of time dependent drawdown on the variation of the well discharge and the piezometric head distribution.