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Optimal Design of Barrage Profile on Anisotropic Soil Using Multi‐Objective Optimization Approach

Author

Listed:
  • Arjun Prasad

    (Motilal Nehru National Institute of Technology Allahabad)

  • Raj Mohan Singh

    (Motilal Nehru National Institute of Technology Allahabad)

  • S. K. Duggal

    (Motilal Nehru National Institute of Technology Allahabad)

Abstract

Weirs and barrages are costly hydraulic diversion structures; therefore, any attempt to improve their design is a worthy contribution. Diversion structures, such as weir or barrage, may be designed on permeable formations considering homogenous soil properties. But in reality, soil properties are hardly homogeneous. In this paper, an approach is described to determine an economically efficient barrage profile by considering soil’s anisotropic behaviour. Hydraulic conductivity is considered to be an anisotropic soil property. An optimization-based methodology is developed to obtain the optimal barrage profile. The minimization of the material cost and minimization of the exit gradient is considered for multi-objective formulation. The multi-objective formulation is solved using NSGA-II, and a Pareto optimal front is obtained for different degrees of anisotropy. The flow interaction under a diversion structure in anisotropic soil is incorporated using the Modified Lane theory and is embedded in optimization formulation. The developed methodology is illustrated with a barrage profile as a hydraulic structure. A parametric study is carried out to study the effects of varying barrage design elements on the barrage’s optimum material cost.

Suggested Citation

  • Arjun Prasad & Raj Mohan Singh & S. K. Duggal, 2021. "Optimal Design of Barrage Profile on Anisotropic Soil Using Multi‐Objective Optimization Approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 35(8), pages 2433-2448, June.
    • Handle: RePEc:spr:waterr:v:35:y:2021:i:8:d:10.1007_s11269-021-02839-x
    DOI: 10.1007/s11269-021-02839-x
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    References listed on IDEAS

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    1. Farzin Salmasi & Meysam Nouri & John Abraham, 2020. "Upstream Cutoff and Downstream Filters to Control of Seepage in Dams," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(13), pages 4271-4288, October.
    2. Amin Rasekh & Abbas Afshar & Mohammad Afshar, 2010. "Risk-Cost Optimization of Hydraulic Structures: Methodology and Case Study," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(11), pages 2833-2851, September.
    3. J. Yazdi & M. Sabbaghian Moghaddam & B. Saghafian, 2018. "Optimal Design of Check Dams in Mountainous Watersheds for Flood Mitigation," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(14), pages 4793-4811, November.
    4. Raj Singh, 2011. "Design of Barrages with Genetic Algorithm Based Embedded Simulation Optimization Approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(2), pages 409-429, January.
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