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.

堰坝和拦河坝是昂贵的水力分流结构。因此，任何改进其设计的尝试都是值得的。考虑到土壤的均质性，可在渗透性地层上设计分流结构（如堰或拦河坝）。但是实际上，土壤特性几乎是不均匀的。在本文中，描述了一种通过考虑土壤的各向异性行为来确定经济有效的拦河坝剖面的方法。水力传导率被认为是各向异性的土壤性质。开发了基于优化的方法以获得最佳弹幕轮廓。对于多目标制定，考虑了材料成本的最小化和出口梯度的最小化。使用NSGA-II求解多目标公式，并针对不同程度的各向异性获得了帕累托最优前沿。运用修正车道理论将各向异性土壤中分流结构下的水流相互作用纳入其中，并嵌入到优化公式中。所开发的方法以弹幕轮廓作为水力结构进行了说明。进行了参数研究，以研究各种弹幕设计元素对弹幕最佳材料成本的影响。