Neurofuzzy-Based GMDH-PSO to Predict Maximum Scour Depth at Equilibrium at Culvert Outlets

AbstractIn this study, the neurofuzzy-based group method of data handling (NF-GMDH) as an adaptive learning network was utilized to predict the maximum scour depth at equilibrium downstream of culvert outlet structures. The NF-GMDH network was developed using particle swarm optimization (PSO). Effective variables on the maximum scour depth at equilibrium included those of sediment size downstream of culvert outlets, the geometry of culvert outlets, and the flow characteristics upstream and downstream of the culvert. Training and testing performances of the NF-GMDH-PSO network were carried out using nondimensional data sets that were collected from the literature. The testing results of the NF-GMDH-PSO model were compared with the gene-expression programming (GEP) and traditional equations. The NF-GMDH-PSO network produced a lower error of maximum scour depth at equilibrium prediction than those obtained using the other models. Also, the most effective parameter on the maximum scour depth at equilibrium wa...

[1]  Rodney Day,et al.  Prediction of scour depth at culvert outlets using neural networks , 2001 .

[2]  Rodney Day,et al.  Scour at culvert outlets as influenced by the turbulent flow structure , 2002 .

[3]  Nallamuthu Rajaratnam,et al.  Generalized study of erosion by circular horizontal turbulent jets , 1998 .

[4]  Hidetomo Ichihashi,et al.  Orthogonal and Successive Projection Methods for Learning of Neurofuzzy GMDH , 1998, Inf. Sci..

[5]  Siow-Yong Lim,et al.  Local scour by a deeply submerged horizontal circular jet , 1996 .

[6]  Heung Suk Hwang,et al.  Fuzzy GMDH-type neural network model and its application to forecasting of mobile communication , 2006, Comput. Ind. Eng..

[7]  R. D. Townsend,et al.  Local Scour Downstream of Box-Culvert Outlets , 1991 .

[8]  Khm Ali,et al.  Local Scour Caused by Submerged Wall Jets. , 1986 .

[9]  Siow-Yong Lim,et al.  SCOUR BELOW UNSUBMERGED FULL-FLOWING CULVERT OUTLETS. , 1995 .

[10]  Mohammad Najafzadeh,et al.  Comparison of group method of data handling based genetic programming and back propagation systems to predict scour depth around bridge piers , 2011 .

[11]  Hazi Mohammad Azamathulla,et al.  ANFIS-Based Approach for Predicting the Scour Depth at Culvert Outlets , 2011 .

[12]  Steven R. Abt,et al.  INFLUENCE OF CULVERT SHAPE ON OUTLET SCOUR , 1987 .

[13]  N. Rajaratnam,et al.  Effect of Sediment Gradation on Erosion by Plane Turbulent Wall Jets , 1998 .

[14]  F. Kalantary,et al.  An investigation on the Su–NSPT correlation using GMDH type neural networks and genetic algorithms , 2009 .

[15]  Steven R. Abt,et al.  Unified Culvert Scour Determination , 1984 .

[16]  Hidetomo Ichihashi,et al.  Neuro-Fuzzy GMDH and Its Application to Modelling Grinding Characteristics , 1995 .

[17]  Hema R. Madala,et al.  Inductive Learning Algorithms for Complex Systems Modeling , 2017 .

[18]  Godfrey C. Onwubolu,et al.  Design of hybrid differential evolution and group method of data handling networks for modeling and prediction , 2008, Inf. Sci..

[19]  Mohammad Najafzadeh,et al.  Group method of data handling to predict scour depth around vertical piles under regular waves , 2013 .