Evaluation of nonparametric tree models for predicting the scour depth of bridge piers

Abstract

R. Dalvand, M. Komasi

One of the main causes of damage to bridges, especially during flood event is the scour around the bridge. Determination of the depth of scour around the bridge piers plays a very important role in designing the bridges against this destructive factor. The complexity of the bridge scour and the effects of different parameters on its estimation more clearly reveal the necessity of using a nonlinear and comprehensive model in this field. In this present study, decision tree models, as nonparametric models, are used to estimate the scour depth. Furthermore, the statistics of different bridges and four tree methods are used. The data used to train and test decision trees including flow the velocity of upstream, the median grain size, flow depth, and the pier width, the skew of the pier to approach flow, the length of the pier, the grain size of bed material for which 84 percent is finer, a multiplying factor, input variables, and the depth of scour as output in the model. 75% of the available data is used for model training and the remaining 25% for testing. The results show that among the four models (CART, C5, QUEST, CHAID)   examined, C5 model, considering the comparison of the root mean square error parameters and the coefficient of determination, is more accurate in computing the scour depth of the bridge, the amount coefficients of determination in this model is in training and testing steps are 0.92 and 0.76, as well as the mean square error values of the error is 0.56 and 0.72 respectively. Furthermore, the results reveal the QUEST model does not have a proper accuracy in scour depth estimation. Furthermore, the analysis of the models shows flow depth, the flow velocity in the upstream have the greatest effect on the scour depth.

Keywords: Scouring; sensitivity analysis; tree models

References:
Arneson, L. A., Zevenbergen, L. W., Lagasse, P. F., & Clopper, P. E. (2012). Evaluating scour at bridges.
Breiman, L., Friedman, J. H., Olshen, R. A., & Stone, C. J. (1984). Classification and regression trees. Wadsworth & Brooks. Cole Statistics/Probability Series.
Chattamvelli, R. (2011). Data mining algorithms. Alpha Science International, Ltd.
Fürnkranz, J., Gamberger, D., & Lavrač, N. (2012). Foundations of rule learning. Springer Science & Business Media.
Guan, X., Liang, J., Qian, Y., & Pang, J. (2017). A multi-view OVA model based on decision tree for multi-classification tasks. Knowledge-Based Systems, 138, 208-219.
Hamedani, T. (2012). Decision tree algorithms" Mashhad Ferdowsi University, Iran.
Hossieni, H., Dalir, A., Farsadizadeh, D., Aronaghi, H., & Ghorbani, M. (2011). Application of submerged plates to control the scouring around the base of a rectangular bridge with a rounded nose. Civil Engineering and Surveying Journal, 9(10), 58-67.
Jabari, A., & Samadi, M. (2013). Application of M5 algorithm and prediction of scour depth in downstream overflows. Iran Water Resources Management Co. 
Karimi, N., Heidarnejad, M., & Masjedi, A. (2017). Scour depth at inclined bridge piers along a straight path: A laboratory study. Engineering Science and Technology, An International Journal, 20(4), 1302-1307.
Lim, S. Y., & Cheng, N. S. (1998). Prediction of live-bed scour at bridge abutments. Journal of Hydraulic Engineering, 124(6), 635-638.
Lim, T. S., Loh, W. Y., & Shih, Y. S. (2000). A comparison of prediction accuracy, complexity, and training time of thirty-three old and new classification algorithms. Machine Learning, 40(3), 203-228.
Tubaldi, E., Macorini, L., Izzuddin, B. A., Manes, C., & Laio, F. (2017). A framework for probabilistic assessment of clear-water scour around bridge piers. Structural Safety, 69, 11-22.
Melville, B. W., & Sutherland, A. J. (1988). Design method for local scour at bridge piers. Journal of Hydraulic Engineering, 114(10), 1210-1226.
Mia, M. F., & Nago, H. (2003). Design method of time-dependent local scour at circular bridge pier. Journal of Hydraulic Engineering, 129(6), 420-427.
Mueller, D. S., & Wagner, C. R. (2005). Field observations and evaluations of streambed scour at bridges (No. FHWA-RD-03-052).
Sharyati, H., khodashenas, R., Esmaili, K. (2009). Investigate the operation of the coupling geometry in local scouring at the bridge base. Hydraulic Scientific Journal, 11(5), 14-27.
Soleimanpour, S. M., Mesbah, S. H., & Hedayati, B. (2018). Application of CART decision tree data mining to determine the most effective drinking water quality factors (case study: Kazeroon plain, Fars province). Iranian Journal of Health and Environment, 11(1), 1-14.
Zahiri, J. (2015). Riprap Design for Bridge Piers Using Nonparametric Models.
Zaid, M., Yazdanfar, Z., Chowdhury, H., & Alam, F. (2019). A review on the methods used to reduce the scouring effect of bridge pier. Energy Procedia, 160, 45-50.
Zhao, Y., Li, Y., Zhang, L., & Wang, Q. (2016). Groundwater level prediction of landslide based on classification and regression tree. Geodesy and Geodynamics, 7(5), 348-355.
 

Share this article