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Groundwater Pumping Cost Minimization – an Analytical Approach

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  • K. Katsifarakis

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. Copyright Springer Science+Business Media B.V. 2008

Suggested Citation

  • K. Katsifarakis, 2008. "Groundwater Pumping Cost Minimization – an Analytical Approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 22(8), pages 1089-1099, August.
    • Handle: RePEc:spr:waterr:v:22:y:2008:i:8:p:1089-1099
    DOI: 10.1007/s11269-007-9212-x
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    References listed on IDEAS

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    1. Papadopoulou, Maria P. & Pinder, George F. & Karatzas, George P., 2007. "Flexible time-varying optimization methodology for the solution of groundwater management problems," European Journal of Operational Research, Elsevier, vol. 180(2), pages 770-785, July.
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    Cited by:

    1. Iraj Saeedpanah & Ramin Golmohamadi Azar, 2017. "New Analytical Expressions for Two-Dimensional Aquifer Adjoining with Streams of Varying Water Level," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(1), pages 403-424, January.
    2. N. Nagkoulis & K.L. Katsifarakis, 2020. "Minimization of Total Pumping Cost from an Aquifer to a Water Tank, Via a Pipe Network," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(13), pages 4147-4162, October.
    3. K. L. Katsifarakis & I. A. Nikoletos & Ch. Stavridis, 2018. "Minimization of Transient Groundwater Pumping Cost - Analytical and Practical Solutions," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(3), pages 1053-1069, February.
    4. Mahdi Asadi-Aghbolaghi & Gholam Reza Rakhshandehroo, 2016. "Delineating Capture Zone of a Pumping Well in a Slanting Regional Groundwater Flow to a Stream with a Leaky Layer," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(12), pages 4273-4291, September.

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    1. K. L. Katsifarakis & I. A. Nikoletos & Ch. Stavridis, 2018. "Minimization of Transient Groundwater Pumping Cost - Analytical and Practical Solutions," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(3), pages 1053-1069, February.

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