Graphical methods are outlined for determining the coefficients of transmissibility, storage, and delay index of an infinite aquifer under water‐table conditions. The procedure is based on the theory, developed by N. S. Boulton (1963), of the nonsteady flow toward a steadily discharging well from an infinite water‐table aquifer allowing for delayed yield from storage. An application of these methods is illustrated by treating actual field data collected from a pumping test near Lawrenceville, Illinois. The results of 18 selected pumping tests are summarized. A relationship between the delay index and the materials through which gravity drainage takes place is given.
A closed form mathematical solution is given for water level conversion from artesian to water table conditions due to a well discharging at a constant rate. The solution is obtained from the analogous case of heat flow in cylindrical symmetry in which freezing or melting takes place. A single nonleaky artesian aquifer that is homogeneous, isotropic, and infinite in areal extent is considered. The well fully penetrates the aquifer and is infinitesimal in diameter. Dimensionless curves are given, and suggestions are made to aid in the analysis and interpretation of the aquifer test data.
Passive‐element electric analog models have been used for many years as a means of tudying cause and effect relationships in the regional development of ground‐water resources. Although successful use of such models has been demonstrated by several investigators, certain inherent characteristics designed into some electric analog models lead to significant error at particular boundaries of the model.Errors that exist at the pumped well junctions of non‐steady‐state two‐dimensional flow electric analog models are analyzed. The results of the analysis indicate that practical sustained yields and water‐level data derived from pumped well junctions of electric analog models lead to overly optimistic estimates of aquifer and well yielding capabilities. This paper presents design methods for simulating pumped wells having different radii, screen lengths, partial penetrations, gravel pack sizes, and well‐loss constants.
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