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A comparative study on using metaheuristic algorithms for simultaneously estimating parameters of space fractional advection-dispersion equation

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JOURNAL OF HYDROLOGY 2021年 602卷 126757-126757页

作者： Maroufi, Halimeh Mehdinejadiani, Behrouz Univ Kurdistan Fac Agr Dept Water Sci & Engn Sanandaj Iran

This work developed four inverse models based on Particle Swarm optimization (PSO), Chicken Swarm optimization (CSO), Bees Algorithm (BA), and Teaching Learning based optimization (TLBO), to identify parameters of space fractional advection-dispersion equation (s-FADE). The s-FADE has four parameters, including average pore-water velocity (nu), fractional dispersion coefficient (D-f), fractional derivative order (alpha), and skewness (beta). A sensitivity analysis indicated that the v is the most effective parameter on the s-FADE results, followed by alpha, D-f, and beta, respectively. The experimental data required were measured at different transport distances of homogeneous and heterogeneous soil columns. Five criteria, namely, convergence trend, objective function value, runtime, repeatability of results, and modeling complexity were used to evaluate algorithm performances and to rank them using a technique for order of preference by similarity to ideal solution (TOPSIS). based on the obtained results, all four algorithms acquired the global optimal values for the nu and alpha parameters using a maximum iteration of 1000 as a stopping criterion and an initial population of 10, while they obtained the relatively different values for the D-f, and beta parameters. The PSO and TLBO algorithms successfully found the global minimum values of the objective functions for both the homogeneous and heterogeneous soils. Among the four algorithms, the TLBO algorithm was the best one in terms of convergence trend, repeatability of results, and modeling complexity, and it was the worst algorithm in term of runtime. Among the PSO, CSO, and BA algorithms, the BA algorithm was superior over the PSO and CSO algorithms in terms of runtime and repeatability of results, while the PSO algorithm was superior over the BA and CSO algorithms in term of converge speed. Overall, according to the results of the TOPSIS method, the TLBO algorithm was the best alternative to estimate the s-FADE

关键词： FracFit toolbox Non-fickian transport gradient-based optimization algorithms Inverse problem method Teaching learning based optimization TOPSIS method

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