Drawdown around Wells of variable discharge

The discharge of an uncontrolled pumping well generally decreases with time. Eventually the discharge may attain a constant rate. Frequently, the observed discharge-time variation can be represented empirically by an algebraic equation of simple form. In this paper, drawdown formulas are obtained for wells operating in leaky or nonleaky effectively infinite aquifers, having three types of probable discharge-time variation. These formulas are expressed either in terms of already known and extensively tabulated functions or in terms of functions that can easily be tabulated for practical ranges of the parameters involved. Use of these formulas in the analysis of pumping-test data is also discussed.