Abstract
In recent years the problem most often encountered in groundwater investigations has probably been that of predicting fluctuations of water levels or flows to be caused by future withdrawals of groundwater. But, THIEM'S or THEIS' method cannot be applicable to those problems in multiple-well system always producing abundant flow of groundwater. Mathematical method giving pumping effect in uniformly leaky aquifer is applied to such systems and some notable results are obtained. For example, when a well is pumped by the rate of Q in multiple-well system, of which one side is bound by free water and the other is assumed infinite.The increase of total yield from this system is given by Qe-√b/Td, where T and b are coefficients of transmissibility and leakage, and d is distance from free water to the pumped well. This exponential factor can be easily obtained by the analysis of tidal fluctuations in such an aquifer, which were presented by the author as p0e-√b/Tx sin wt, where tidal change in sea level is assumed P0 sin wt and x is the distance from the sea. Then, the total flow in this system except the new withdrawal by pumping is predicted to be decreased by Q (1-e-√b/Td).
