Reliable method of determining stable threshold channel shape using experimental and gene expression programming techniques

摘要: The geometric dimensions and bank profile shape of channels with boundaries containing particles on the verge motion (threshold channels) are significant factors in channel design. In this study, extensive experimental work was done at different flow velocities to propose a reliable method capable estimating stable profile. proposed is based gene expression programming (GEP). Laboratorial datasets obtained from Mikhailova et al. (Hydro Tech Constr 14:714–722, 1980), Ikeda (J Hydraul Div ASCE 107:389–406 1981), Diplas Eng 116:707–728, 1990) Hassanzadeh Civil Environ 43(4):59–68, 2014) were used train, test, validate examine GEP model various hydraulic conditions. results demonstrate that can estimate characteristics great accuracy (determination coefficient 0.973 mean absolute relative error 0.147). Moreover, for practical calculations dimensions, provides specific mathematical relationship solve problems discharge rates (Q) median grain sizes (D50). model’s performance compared 8 relationships suggested previously by researchers (based empirical theoretical analyses) using nonlinear regression data. polynomial VDM two exponential functions, i.e. IKM DIM, introduced as superior existing models. According present study results, predict trend well similar datasets. Sensitivity analysis also applied assess impact each input variable (x, Q D50) presented relationship. current suitable equation predicting channels.