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Optimal Design of Concrete Canal Section for Minimizing Costs of Water Loss, Lining and Earthworks

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  • M. Rezapour Tabari
  • Shiva Tavakoli
  • Mohsen Mazak Mari

Abstract

Canal section design with minimum cost, which can be considered as an objective function, involves minimization of total costs per unit length of the canal, including direct costs of per cubic meter earthworks and per meter canal lining and indirect costs of water losses through canal seepage and evaporation. Since the costs (both direct and indirect) are associated with the canal geometry and dimensions, it is possible to lower them by optimization of the mentioned objective function. For this purpose, some constraints were subjected and considered to solve the problem. Flow discharge, as the main constraint, was considered in addition to the minimum permissible velocity and Froude’s number, as subsidiary constraints. MATLAB programming software was used to demonstrate and run the optimization algorithm. The results finally were illustrated in forms of dimensionless graphs, which simplify the optimum design of canal dimensions with minimum cost per meter length. Comparing the results with other similar studies, however show the importance and role of earthworks and lining costs, as well as including the subsidiary constraints in the optimization process. Copyright Springer Science+Business Media Dordrecht 2014

Suggested Citation

  • M. Rezapour Tabari & Shiva Tavakoli & Mohsen Mazak Mari, 2014. "Optimal Design of Concrete Canal Section for Minimizing Costs of Water Loss, Lining and Earthworks," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(10), pages 3019-3034, August.
  • Handle: RePEc:spr:waterr:v:28:y:2014:i:10:p:3019-3034
    DOI: 10.1007/s11269-014-0652-9
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    References listed on IDEAS

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    1. A. Ghumman & R. Khan & Q. Khan & Z. Khan, 2012. "Modeling for Various Design Options of a Canal System," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(8), pages 2383-2395, June.
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    Cited by:

    1. Sara Azargashb Lord & Seied Mehdy Hashemy Shahdany & Abbas Roozbahani, 2021. "Minimization of Operational and Seepage Losses in Agricultural Water Distribution Systems Using the Ant Colony Optimization," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 35(3), pages 827-846, February.
    2. S. Hashemy Shahdany & J. Maestre & P. van Overloop, 2015. "Equitable Water Distribution in Main Irrigation Canals with Constrained Water Supply," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(9), pages 3315-3328, July.
    3. Mahmoud Mohammad Rezapour Tabari & Mohsen Mazak Mari, 2016. "The Integrated Approach of Simulation and Optimization in Determining the Optimum Dimensions of Canal for Seepage Control," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(3), pages 1271-1292, February.
    4. Aly K. Salem & Yehya E. Imam & Ashraf H. Ghanem & Abdallah S. Bazaraa, 2022. "Genetic Algorithm Based Model for Optimal Selection of Open Channel Design Parameters," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 36(15), pages 5867-5896, December.

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    1. S. Hashemy Shahdany & J. Maestre & P. van Overloop, 2015. "Equitable Water Distribution in Main Irrigation Canals with Constrained Water Supply," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(9), pages 3315-3328, July.

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