Estimation of the Scouring Depth of the Plunge Pool of the Symmetrical Crossing Jets by Support Vector Machine

Document Type : Applied Article

Authors

• mohammad bagherzadeh ¹
• Mirali Mohammadi ²

¹ PhD Candidate, Civil Engineering, Water and Hydraulic Structures, Department of Civil Engineering, Faculty of Engineering, Urmia University, Urmia, Iran

² Associate Professor, Civil Engineering, Water and Hydraulic Structures, Department of Civil Engineering, Faculty of Engineering, Urmia University, Urmia, Iran.

10.22067/jwsd.v9i4.2206.1154

Abstract

At the downstream end of the large dam spillways, the plunge pool is used for energy dissipation due to the flow. This type of structure has a scouring hole downstream of the dam, which needs to be explored for the issue. The present research work aimed to examine the performance of the support vector machine (SVM) method as one of the familiar soft computing techniques used for estimating the scouring depth of symmetrical crossing jets of a plunge pool. Firstly, an appropriate percentage run and Kernel of the SVM were determined by using laboratory data. Then, the parameters involved the scouring depth including Dencimetric Froude Number, Tailwater Depth, vertical jet angle, angle of the impact point of the jet, and the relative distance between of impact of the jet up to the water surface (Fr_d90 ،T_w ،α_v ،α_c ،δ), were divided into different models and the runs were performed. Numerical values of the evaluation criteria as R, RMSE, and NRMSE related to the test stage results for the best model to estimate the scouring depth were found as 0.9563, 0.688 and 18.47%, respectively. The results of this model confirm the acceptable performance of the SVM for estimating the scouring depth studied in present work. To find a best model, the results of sensitivity analysis reveals that the parameters T_w and α_v have the highest and lowest effects on the accuracy amount of estimation for scouring depth, respectively.

Keywords

• Scouring
• Dencimetric Froude Number
• Tailwater Depth
• Soft Computing

Main Subjects

• Water Transfer & Hydraulic Structures

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References

Armaghani A., Lashkarara B. and Akhond A. A. M. 2017. The Process of Plunge Pool Bed Form Changes by a Vertical Jet Impinging Upon Non-Cohesive Sediment. Irrigation Sciences and Engineering, 40(3): 77-85.
Bollaert E. 2002. The influence of plunge pool air entrainment on the presence of free air in rock joints.Rock scour due to falling high-velocity jets Conference. Lisse, The Netherlandshttp://infoscience.epfl.ch/record/103498. 
Bagherzadeh M., Mousavi F. Manafpour M. Mirzaee R. and Hoseini K. 2022. Numerical simulation and application of soft computing in estimating vertical drop energy dissipation with horizontal serrated edge. Water Supply, 22(4): 4676-4689.
Daneshfaraz R., Bagherzadeh M. Esmaeeli R. Norouzi R. and Abraham J. 2021a. Study of the performance of support vector machine for predicting vertical drop hydraulic parameters in the presence of dual horizontal screens. Water supply, 21(1): 217-231.
Daneshfaraz R., Aminvash E. Ghaderi A. Abraham J. and Bagherzadeh M. 2021b. SVM performance for predicting the effect of horizontal screen diameters on the hydraulic parameters of a vertical drop. Applied sciences, 11(9): 4238.
Daneshfaraz R., Aminvash E. Mirzaee R. and Abraham J. 2021c. Predicting the energy dissipation of a rough sudden expansion rectangular stilling basins using the SVM algorithm. Journal of Applied Research in Water and Wastewater, 8(2): 98-106.
Daneshfaraz R., Bagherzadeh M. Ghaderi A. Di Francesco S. and Asl M. M. 2021d. Experimental investigation of gabion inclined drops as a sustainable solution for hydraulic energy loss. Ain Shams Engineering Journal, 12(4): 3451-3459.
Dasineh M., Ghaderi A. Bagherzadeh M. Ahmadi M. and Kuriqi A. 2021. Prediction of Hydraulic Jumps on a Triangular Bed Roughness Using Numerical Modeling and Soft Computing Methods. Mathematics, 9(23): 3135.
Epely-Chauvin G., De Cesare G. and Schwindt S. 2014. Numerical modelling of plunge pool scour evolution in non-cohesive sediments. Engineering Applications of Computational Fluid Mechanics, 8(4): 477-487.
Jia Y., Kitamura T. and Wang S. S. 2001. Simulation of scour process in plunging pool of loose bed-material. Journal of Hydraulic Engineering, 127(3): 219-229.
Khalifehei K., Azizyan G. Shafai-Bajestan M. and Chau K. W. 2020. Experimental modeling and evaluation sediment scouring in riverbeds around downstream in flip buckets. International Journal of Engineering, 33(10): 1904-1916.
Lee T. L., Jeng D. S. Zhang G. H. and Hong J. H. 2007. Neural network modeling for estimation of scour depth around bridge piers. Journal of hydrodynamics, 19(3): 378-386.
Majedi-Asl M., Daneshfaraz R. Fuladipanah M. Abraham J. and Bagherzadeh M. 2020. Simulation of bridge pier scour depth base on geometric characteristics and field data using support vector machine algorithm. Journal of Applied Research in Water and Wastewater, 7(2): 137-143. doi: 10.22126/arww.2021.5747.1189
Pagliara S., Hager W. H. and Minor H. E. 2006. Hydraulics of plane plunge pool scour. Journal of Hydraulic Engineering, 132(5): 450-461.
Pagliara S. and Palermo M. 2008. Plane plunge pool scour with protection structures. Journal of Hydro-environment Research, 2(3): 182-191.
Pagliara S., Roy D. and Palermo M. 2011a. Scour due to crossing jets at fixed vertical angle. Journal of irrigation and drainage engineering, 137(1): 49-55.
Pagliara S., Palermo M. and Carnacina I. 2011b. Scour process due to symmetric dam spillways crossing jets. Intl. J. River Basin Management, 9(1): 31-42.
Pal M., Singh N. K. and Tiwari N. K. 2011. Support vector regression-based modeling of pier scour using field data. Engineering Applications of Artificial Intelligence, 24(5): 911-916. 
Pagliara S., Palermo M. and Roy D. 2012. Stilling basin erosion due to vertical crossing jets. Journal of Hydraulic Research, 50(3): 290-297.
Roushangar K. and Koosheh A. 2015. Evaluation of GA-SVR method for modeling bed load transport in gravel-bed rivers. Journal of Hydrology, 527: 1142-1152.
Roushangar K., Alami M. T. Shiri J. and Asl M. M. 2018. Determining discharge coefficient of labyrinth and arced labyrinth weirs using support vector machine. Hydrology research, 49(3): 924-938.
Taştan K., Koçak P. P. and Yildirim N. 2016. Effect of the bed-sediment layer on the scour caused by a jet. Arabian Journal for Science and Engineering, 41(10): 4029-4037.
Yan X., Mohammadian A. and Rennie C. D. 2020. Numerical modeling of local scour due to submerged wall jets using a strict vertex-based, terrain conformal, moving-mesh technique in Open FOAM. International Journal of Sediment Research, 35(3): 237-248.