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

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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.

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Data Availability

In the present research methodology for optimisation is developed by the authors. Required data related to the hydraulic conductivity of the soil and for the comparative analysis of the methodology is used from the open access literature and is referred appropriately. Source code of the methodology and computer program are available with the authors and can be produced if required.

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Authors and Affiliations

  1. Civil Engineering Department, Motilal Nehru National Institute of Technology Allahabad, Pryagraj, India

    Arjun Prasad, Raj Mohan Singh & S. K. Duggal

Authors
  1. Arjun Prasad
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  2. Raj Mohan Singh
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  3. S. K. Duggal
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Contributions

All authors contributed to the study conception and preparation of the manuscript. Arjun Prasad has developed the methodology and computer program in MATLAB to solve the optimisation problem. Dr. Raj Mohan Singh has provided technical support and guidance in the research work and preparation of manuscript. Dr. Shashi Kant Duggal has worked on findings of the research, result and discussion. All authors discussed the findings of the research and prepared the final version of the manuscript.

Corresponding author

Correspondence to Raj Mohan Singh.

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Conflict of Interest

This research is a part of thesis work of the first author (Arjun Prasad). Aim of the research work is to develop optimisation-based methodology to obtain optimum barrage profile and incorporate anisotropic hydraulic conductivity of the soil in the design of hydraulic diversion structures (barrage). This research in full or part is not submitted anywhere else. The authors have no conflict of interest.

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Prasad, A., Singh, R.M. & Duggal, S.K. Optimal Design of Barrage Profile on Anisotropic Soil Using Multi‐Objective Optimization Approach. Water Resour Manage 35, 2433–2448 (2021). https://doi.org/10.1007/s11269-021-02839-x

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  • DOI: https://doi.org/10.1007/s11269-021-02839-x

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