Background Reports

Mathematical Derivation of Drawdown and Stream Depletion Produced by Pumping in the Vicinity of a Finite-Width Stream of Shallow Penetration

Introduction

In this report, the mathematical derivation of the solution of Butler et al. (2001) for drawdown and stream depletion produced by pumping in the vicinity of a finite-width stream of shallow penetration is presented and the definition of the Hunt (1999) leakance parameter is examined. For the sake of generality, the solution is obtained in a dimensionless form. See Butler et al. (2001) for notation definitions that are not given in this report.

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