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Minimization of Transient Groundwater Pumping Cost - Analytical and Practical Solutions

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  • K. L. Katsifarakis

    (A.U.Th)

  • I. A. Nikoletos

    (A.U.Th)

  • Ch. Stavridis

    (A.U.Th)

Abstract

In this paper, we study pumping cost minimization for any number and layout of wells under transient groundwater flow conditions in infinite confined aquifers and semi-infinite ones, to which the method of images applies. Moreover, we take into account additional steady-state flow, which is independent of the well system and results in non-horizontal initial hydraulic head level distribution. We prove analytically that, at any time, the instant pumping cost is minimum, when the following condition holds: the observed at that instant differences between hydraulic head values at the locations of the wells are equal to the half of the initial ones, which are due to the additional steady-state flow. Based on this proof, an analytical calculation procedure of the time-dependent optimal distribution of the required total flow rate to the individual wells is also presented. Moreover, as well flow rates usually remain constant over the pumping period, an approximate calculation of the optimal constant well flow rate distribution is outlined, based again on an analytical procedure.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:waterr:v:32:y:2018:i:3:d:10.1007_s11269-017-1854-8
    DOI: 10.1007/s11269-017-1854-8
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    References listed on IDEAS

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    1. Fateme Heydari & Bahram Saghafian & Majid Delavar, 2016. "Coupled Quantity-Quality Simulation-Optimization Model for Conjunctive Surface-Groundwater Use," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(12), pages 4381-4397, September.
    2. J Sreekanth & Bithin Datta, 2014. "Stochastic and Robust Multi-Objective Optimal Management of Pumping from Coastal Aquifers Under Parameter Uncertainty," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(7), pages 2005-2019, May.
    3. 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.
    4. 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.
    5. Ajay Singh & Sudhindra Panda, 2013. "Optimization and Simulation Modelling for Managing the Problems of Water Resources," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(9), pages 3421-3431, July.
    6. 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.
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    Cited by:

    1. 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.

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