Hydraulic performance and frost-heaving resistance should be considered simultaneously in the channel design of seasonally frozen soil areas. Quadratic parabolic channels have good water and sand transport capacities and high frost-heaving resistances. The width–depth ratio of a parabola determines its section structural form, which in turn determines the hydraulic performance and frost-heaving resistance. In this research, based on the current lack of a comprehensive optimization method that accounts for the hydraulic performance and frost-heaving resistance of the cross-section structures of parabolic channels, a multi-objective optimization model was established with the goal of achieving a minimum cross-sectional flow area and a uniform channel section force. Taking the flow velocity, the width–depth ratio and the crack resistance of concrete lining plate as constraints, the α method of the linear weighted sum method was used to optimize the calculation, and the comprehensive optimal quadratic parabolic channel section was obtained. The comprehensive optimal section of an actual parabolic channel in the Shijin Irrigation District was determined using this method, and the comprehensive optimal section was analyzed and compared to the original design section and two typical parabolic channel sections. The comprehensive optimal section was compared with the original design section in the Shijin Irrigation District. The force uniformity of the optimal section was 23.2% better, the hydraulic performance was 1.96% better, and the land use was 12.35% less. Compared with the values for the hydraulic optimal section, the maximum positive and negative bending moments of the comprehensive optimal section decreased by 5.6% and 11.89%, respectively, and the force uniformity increased by 7.62%. Additionally, compared with the values for the practical economic section, the force uniformity and the hydraulic performance of the comprehensive optimal section increased by 1.79% and 0.2%, respectively, and the land use decreased by 4.49%. Thus, the comprehensive optimal section met the engineering requirements and it could provide a reference for the design and selection of parabolic channels in seasonally frozen soil areas.

中文翻译：

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抛物线渠道水力性能及抗冻胀性综合优化研究

季节性冻土区河道设计应同时考虑水力性能和抗冻胀性。二次抛物线渠道具有良好的输水、输沙能力和较高的抗冻胀能力。抛物线的宽深比决定了其截面结构形式，进而决定了水力性能和抗冻胀性。本研究基于目前缺乏综合考虑抛物线渠道截面结构水力性能和抗冻胀力的优化方法，建立多目标优化模型。横截面流动面积和均匀的通道截面力。取流速，以混凝土衬板的宽深比和抗裂性为约束条件，采用线性加权求和法的α法进行优化计算，得到综合最优的二次抛物线槽截面。采用该方法确定了石津灌区某条实际抛物线渠道综合最优断面，并与原设计断面和两个典型抛物线渠道断面进行了分析比较。综合优化断面与石津灌区原设计断面对比。最优断面受力均匀度提高23.2%，水力性能提高1.96%，土地利用减少12.35%。与水力优化段的值相比，综合优化截面最大正负弯矩分别降低5.6%和11.89%，受力均匀度提高7.62%。此外，与实用经济断面值相比，综合优化断面的受力均匀度和水力性能分别提高了1.79%和0.2%，土地利用减少了4.49%。综上所述，综合优化断面满足工程要求，可为季节性冻土地区抛物线渠道的设计和选择提供参考。综合优化断面受力均匀度和水力性能分别提高1.79%和0.2%，土地利用减少4.49%。综上所述，综合优化断面满足工程要求，可为季节性冻土区抛物线渠道的设计和选择提供参考。综合优化断面受力均匀度和水力性能分别提高1.79%和0.2%，土地利用减少4.49%。综上所述，综合优化断面满足工程要求，可为季节性冻土地区抛物线渠道的设计和选择提供参考。