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Groundwater Pumping Cost Minimization – an Analytical Approach

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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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References

  • Bear J (1979) Hydraulics of Groundwater. McGraw-Hill, New York

    Google Scholar 

  • Katsifarakis KL, Karpouzos DK, Theodossiou N (1999) Combined use of BEM and genetic algorithms in groundwater flow and mass transport problems. Eng Anal Bound Elem 23(7):555–565

    Article  Google Scholar 

  • Mantoglou A, Papantoniou M, Giannoulopoulos P (2004) Management of coastal aquifers based on nonlinear optimization and evolutionary algorithms. J Hydrol 297:209–228

    Article  Google Scholar 

  • Matott SL, Rabideau AJ and Craig JR (2006) Pump-and-treat optimization using analytic element flow models. Advances in Water Res 29(5):760–775

    Article  Google Scholar 

  • Mylopoulos YA, Theodossiou N and Mylopoulos NA (1999) A stochastic optimization approach in the remediation design of an aquifer under hydrogeologic uncertainty. Water Resour Manag 13:335–351

    Article  Google Scholar 

  • Ouazar D, Cheng AH-D (2000) Application of genetic algorithms in water resources. In: Katsifarakis KL (ed) Groundwater pollution control. WIT Press, Southampton, pp 293–316

    Google Scholar 

  • Papadopoulou MP, Pinder GF, Karatzas GP (2007) Flexible time-varying optimization methodology for the solution of groundwater management problems. Eur J Oper Res 180(2):770–785

    Article  Google Scholar 

  • Petala Z (2004) Optimizing management of coastal aquifers by means of genetic algorithms, Ph.D. thesis, Department of Civil Engineering, Aristotle University of Thessaloniki, Thessaloniki, Greece (in Greek)

  • Rastogi AK (1989) Optimal pumping policy and groundwater balance for the Blue Lake aquifer, involving nonlinear groundwater hydraulics. J Hydrol 111(1–4):177–194

    Article  Google Scholar 

  • Sidiropoulos E, and Tolikas P (2004) Well locations and constraint handling in pumping cost minimization via genetic algorithms, Water, Air and Soil Pollution: Focus 4(4–5):227–239

    Google Scholar 

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Correspondence to K. L. Katsifarakis.

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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

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