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        Optimum design of hydraulic water retaining structures incorporating uncertainty in estimating heterogeneous hydraulic conductivity utilizing stochastic ensemble surrogate models within a multi-objective multi-realisation optimisation model

        Muqdad Al-Juboori,Bithin Datta 한국CDE학회 2019 Journal of computational design and engineering Vol.6 No.3

        In order to find optimum and reliable designs for hydraulic water retaining structures (HWRSs), a relia-bility based optimum design (RBOD) model was used to quantify uncertainty in estimates of seepage characteristics due to uncertainty in heterogeneous hydraulic conductivity (HHC). This included incorpo-rating reliability measures into minimum-cost HWRS designs and utilising a multi-realisation optimisa-tion technique based on various stochastic ensemble surrogate models. To improve the efficiency of the RBOD model and the direct search optimisation solver, a multi-objective multi-realisation optimisation (MOMRO) model was employed. Some of the stochastic optimisation constraints could be formulated as a second objective function to be minimised in the MOMRO model. This can significantly improve the search efficiency of the multi-objective non-dominated sorting genetic algorithm-II (NSGA-II) that was used, and help determine more feasible candidate solutions in the search space. Gaussian process regression was used to develop the surrogate models, which were trained on numerous datasets created from numerical seepage simulations. The effect of uncertainty was also considered for other HWRS safety factors and conditions, such as overturning, flotation, sliding and eccentric loading. The results demon-strate that uncertainty in HHC estimates significantly impacts optimum HWRS design. Therefore, deter-ministic optimum solutions that are created based on expected values of hydraulic conductivity are not adequate for reliable HWRS design. The developed MOMRO model, which was based on an ensemble approach, addresses some of the uncertainty in HHC values that affects HWRS design. Also, the MOMRO technique improves the efficiency of the optimisation search process and facilitates a direct search process to provide many optimum alternatives.

      • KCI등재

        Minimum Cost Design of Hydraulic Water Retaining Structure by using Coupled Simulation Optimization Approach

        Muqdad Al-Juboori,Bithin Datta 대한토목학회 2019 KSCE JOURNAL OF CIVIL ENGINEERING Vol.23 No.3

        A linked Simulation-Optimization (S-O) model was developed to find the optimum design of Hydraulic Water Retaining Structure (HWRS) constructed on permeable soils. The nonlinear relationship between seepage design variables can accurately and solely simulated by numerical methods. To increase the computational efficiency of the S-O model, the seepage numerical model was replaced by approximation simulator based on the Support Vector Machine (SVM) surrogate models. The surrogate models incorporated and highlighted the effects of hydraulic conductivity (k) and anisotropy ratio (ky/kx) on the optimum design of HWRS. The results revealed that reducing k and (ky/kx) values augments the optimum cost. The most effective seepage controller variables were the depth and inclination angle of the last cut-off. Increasing these variables effectively reduced the exit gradient value to the allowable limits. Also, the first and second last aprons (b9, b10) were important to provide a sufficient cross section for HWRS to increase the stability of the HWRS against the overturning, flotation, sliding, etc. The evaluation of S-O technique demonstrated agood agreement between the predicted and simulated seepage characteristics of the optimum HWRS design. Hence, the S-O methodology is applicable to obtain an optimal and minimum cost HWRS design.

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