Abstract
In this paper, a groundwater resources management problem has been studied, namely pumping cost minimization for any number and layout of wells. Steady state flow in infinite and semi-infinite confined aquifers, to which the method of images applies, has been considered. It has been proved analytically that when pumping cost is minimized, hydraulic head is the same at all wells. Based on this proof, an analytical calculation procedure of the respective optimal distribution of the required total flow rate to the individual wells is also presented.
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Katsifarakis, K.L. Groundwater Pumping Cost Minimization – an Analytical Approach. Water Resour Manage 22, 1089–1099 (2008). https://doi.org/10.1007/s11269-007-9212-x
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DOI: https://doi.org/10.1007/s11269-007-9212-x