Abstract
Assume that groundwater production from wells located beyond a distance, say r1, that is large relative to the spacing between adjacent image wells may be treated as an equivalent, continuous, constant production rate per unit of ground surface area. By means of the Theis [1935] equation and the usual symbol nomenclature, the result is s (r1, ∞) = QNw (t/S) [e−u1 − u1 W(u1)[, where s(r1, ∞) is the drawdown at the observation point due to all image wells beyond distance r1, and Nw is the density of wells per unit area. This equation is useful for calculating the minimum radius r1 min of the image well model in which image wells must be included for a given pumping time t to keep the truncation error due to omitted image wells less than some predesignated value s(r1, ∞)max. On the other hand, if an image well model exists and is composed of a fixed number of image wells for approximating an areally infinite system, then the equation will give the maximum allowable pumping time for a given allowable truncation error s(r1, ∞)max.
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