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NONLINEAR DUPUIT EQUATIONS FOR THE PHREATIC SURFACE OF A SEMI-INFINITE AQUIFER1
Authors:I. Gyuk  R. Williams
Abstract:ABSTRACT. We present a new approach to the nonlinear equations for the phreatic surface of groundwater flow from or into a reservoir. The differential equation is converted into an equivalent integral equation, which is then solved by a method of iteration. We obtain exact results for both drawdown and infiltration, including the special case of groundwater penetration into dry soil.
Keywords:KEY WORDS  groundwater  phreatic surface  drawdown  infiltration  iteration  nonlinear Dupuit equations
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