Modelling Floodplain Boundary Shear Distribution in Two-Stage Meandering Channels Using Machine Learning Techniques

Authors

  • Abinash Mohanta Capital Engineering College, Khordha, Bhubaneswar, Odisha
  • Chitaranjan Dalai Gandhi Institute for Education & Technology Baniatangi, Bhubaneswar, Odisha
  • Monalisa Mallick Indira Gandhi Institute of Technology, Sarang, 759146, India

DOI:

https://doi.org/10.66132/ngce20250404

Keywords:

Boundary shear distribution, Two-stage meandering channel, Gaussian Process Regression, Extreme Learning Machine, Relevance Vector Machine

Abstract

The distribution of boundary shear stress plays a pivotal role in addressing various river engineering challenges, including flood control, sediment transport, and riverbank stabilisation. This study employs three machine learning (ML) techniques, i.e. Gaussian Process Regression (GPR), Extreme Learning Machine (ELM), and Relevance Vector Machine (RVM), to predict boundary shear distribution along the floodplains of a two-stage sinuous channel. Key geometric and hydraulic parameters such as the relative width , depth ratio , sinuosity , slope of the channel bed , and sinuous relative belt width of the two-stage meandering channels are used to create predictive models. A comprehensive comparative analysis was conducted using standard statistical performance metrics. Among the models, the GPR approach demonstrated superior predictive accuracy, achieving a coefficient of determination (R²) of 0.984 and the lowest root mean squared error (RMSE) of 2.0. These findings highlight the potential of GPR as a robust tool for modelling shear stress distribution in complex channel geometries.

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References

Acharya, N., Shrivastava, N. A., Panigrahi, B. K., & Mohanty, U. C. (2014). Development of an artificial neural network based multi-model ensemble to estimate the northeast monsoon rainfall over south peninsular India: an application of extreme learning machine. Climate dynamics, 43(5-6), 1303-1310. DOI: https://doi.org/10.1007/s00382-013-1942-2

Azimi, H., Bonakdari, H., & Ebtehaj, I. (2017). Sensitivity analysis of the factors affecting the discharge capacity of side weirs in trapezoidal channels using extreme learning machines. Flow Measurement and Instrumentation, 54, 216-223. DOI: https://doi.org/10.1016/j.flowmeasinst.2017.02.005

Berlamont, J. E., Trouw, K., & Luyckx, G. (2003). Shear stress distribution in partially filled pipes. Journal of Hydraulic Engineering, 129(9), 697-705. DOI: https://doi.org/10.1061/(ASCE)0733-9429(2003)129:9(697)

Bonakdari, H., Zaji, A. H., Gharabaghi, B., Ebtehaj, I., & Moazamnia, M. (2018). More accurate prediction of the complex velocity field in sewers based on uncertainty analysis using extreme learning machine technique. ISH Journal of Hydraulic Engineering, 1-12. DOI: https://doi.org/10.1080/09715010.2018.1498753

Christensen, H. B., & Fredsoe, J. (1998). Bed shear stress distribution in straight channels with arbitrary cross section.

Deka, P. C., Patil, A. P., Yeswanth Kumar, P., & Naganna, S. R. (2018). Estimation of dew point temperature using SVM and ELM for humid and semi-arid regions of India. ISH Journal of Hydraulic Engineering, 24(2), 190-197. DOI: https://doi.org/10.1080/09715010.2017.1408037

Deo, R. C., & Sahin, M. (2015). Application of the extreme learning machine algorithm for the prediction of monthly Effective Drought Index in eastern Australia. Atmospheric Research, 153, 512-525. DOI: https://doi.org/10.1016/j.atmosres.2014.10.016

Deo, R. C., & Sahin, M. (2016). An extreme learning machine model for the simulation of monthly mean streamflow water level in eastern Queensland. Environmental monitoring and assessment, 188(2), 90. DOI: https://doi.org/10.1007/s10661-016-5094-9

Deo, R. C., & Samui, P. (2017). Forecasting evaporative loss by least-square support-vector regression and evaluation with genetic programming, Gaussian process, and minimax probability machine regression: case study of Brisbane City. Journal of Hydrologic Engineering, 22(6), 05017003. DOI: https://doi.org/10.1061/(ASCE)HE.1943-5584.0001506

Deo, R. C., Samui, P., & Kim, D. (2016). Estimation of monthly evaporative loss using relevance vector machine, extreme learning machine and multivariate adaptive regression spline models. Stochastic environmental research and risk assessment, 30(6), 1769-1784. DOI: https://doi.org/10.1007/s00477-015-1153-y

Dogan, E., Tripathi, S., Lyn, D. A., & Govindaraju, R. S. (2007). Application of relevance vector machine for sediment transport estimation. World Environmental and Water Resources Congress 2007: Restoring Our Natural Habitat, DOI: https://doi.org/10.1061/40927(243)389

Ebtehaj, I., Bonakdari, H., & Shamshirband, S. (2016). Extreme learning machine assessment for estimating sediment transport in open channels. Engineering with Computers, 32(4), 691-704. DOI: https://doi.org/10.1007/s00366-016-0446-1

Flake, J., Moon, T. K., McKee, M., & Gunther, J. H. (2010). Application of the relevance vector machine to canal flow prediction in the Sevier River Basin. Agricultural water management, 97(2), 208-214. DOI: https://doi.org/10.1016/j.agwat.2009.09.010

Ghosh, S., & Mujumdar, P. P. (2008). Statistical downscaling of GCM simulations to streamflow using relevance vector machine. Advances in Water Resources, 31(1), 132-146. DOI: https://doi.org/10.1016/j.advwatres.2007.07.005

Ghosh, S. N., & Roy, N. (1970). Boundary shear distribution in open channel flow. Journal of the Hydraulics Division. DOI: https://doi.org/10.1061/JYCEAJ.0002477

Hwang, L.-S., & Laursen, E. M. (1963). Shear measurement techniques for rough surfaces. Journal of the Hydraulics Division, 89(2), 19-37. DOI: https://doi.org/10.1061/JYCEAJ.0000859

Joshi, D., St-Hilaire, A., Daigle, A., & Ouarda, T. B. M. J. (2013). Databased comparison of Sparse Bayesian Learning and Multiple Linear Regression for statistical downscaling of low flow indices. Journal of Hydrology, 488, 136-149. DOI: https://doi.org/10.1016/j.jhydrol.2013.02.040

Kar, S. K. (1977). A study of distribution of boundary shear in meander channel with and without floodplain and river floodplain interaction Indian Institute of Technology Kharagpur Kharagpur, India].

Karami, H., Karimi, S., Bonakdari, H., & Shamshirband, S. (2018). Predicting discharge coefficient of triangular labyrinth weir using extreme learning machine, artificial neural network and genetic programming. Neural Computing and Applications, 29(11), 983-989. DOI: https://doi.org/10.1007/s00521-016-2588-x

Khalil, A., Almasri, M. N., McKee, M., & Kaluarachchi, J. J. (2005). Applicability of statistical learning algorithms in groundwater quality modeling. Water Resources Research, 41(5). DOI: https://doi.org/10.1029/2004WR003608

Khatua, K. K., & Patra, K. C. (2007). Boundary shear stress distribution in compound open channel flow. ISH Journal of Hydraulic Engineering, 13(3), 39-54. DOI: https://doi.org/10.1080/09715010.2007.10514882

Khatua, K. K., Patra, K. C., & Mohanty, P. K. (2012). Stage-discharge prediction for straight and smooth compound channels with wide floodplains. Journal of Hydraulic Engineering, 138(1), 93-99. DOI: https://doi.org/10.1061/(ASCE)HY.1943-7900.0000491

Knight, D. W. (1981). Boundary shear in smooth and rough channels. Journal of the Hydraulics Division, 107(7), 839-851. DOI: https://doi.org/10.1061/JYCEAJ.0005695

Knight, D. W., Demetriou, J. D., & Hamed, M. E. (1984). Boundary shear in smooth rectangular channels. Journal of Hydraulic Engineering, 110(4), 405-422. DOI: https://doi.org/10.1061/(ASCE)0733-9429(1984)110:4(405)

Knight, D. W., & Patel, H. S. (1985). Boundary shear in smooth rectangular ducts. Journal of Hydraulic Engineering, 111(1), 29-47. DOI: https://doi.org/10.1061/(ASCE)0733-9429(1985)111:1(29)

Knight, D. W., Yuan, Y. M., & Fares, Y. R. (1992). Boundary shear in meandering channels. Proceedings of the Institution Symposium on Hydraulic research in nature and laboratory,

Li, S.-c., He, P., Li, L.-p., Shi, S.-s., Zhang, Q.-q., Zhang, J., & Hu, J. (2017). Gaussian process model of water inflow prediction in tunnel construction and its engineering applications. Tunnelling and Underground Space Technology, 69, 155-161. DOI: https://doi.org/10.1016/j.tust.2017.06.018

Mehdizadeh, S., Behmanesh, J., & Khalili, K. (2017). Application of gene expression programming to predict daily dew point temperature. Applied Thermal Engineering, 112, 1097-1107. DOI: https://doi.org/10.1016/j.applthermaleng.2016.10.181

Milukow, H. A., Binns, A. D., Adamowski, J., Bonakdari, H., & Gharabaghi, B. (2018). Estimation of the Darcy-Weisbach Friction Factor for Ungauged Streams using Gene Expression Programming and Extreme Learning Machines. Journal of Hydrology, 568, 311-321. DOI: https://doi.org/10.1016/j.jhydrol.2018.10.073

Mohanta, A. (2019). Modelling of overbank flow in two-stage meandering channels [PhD., National Institute of Technology Rourkela]. Rourkela, India. http://ethesis.nitrkl.ac.in/10130/

Mohanta, A., & Patra, K. C. (2019). MARS for prediction of shear force and discharge in two-stage meandering channel. Journal of Irrigation and Drainage Engineering, 145(8), 04019016. DOI: https://doi.org/10.1061/(ASCE)IR.1943-4774.0001402

Mohanta, A., Patra, K. C., & Pradhan, A. (2020). Enhanced channel division method for estimation of discharge in meandering compound channel. Water Resources Management, 34(3), 1047-1073. DOI: https://doi.org/10.1007/s11269-020-02482-y

Mohanta, A., Patra, K. C., & Sahoo, B. (2018). Anticipate Manning's coefficient in meandering compound channels. Hydrology, 5(3), 47. DOI: https://doi.org/10.3390/hydrology5030047

Mohanta, A., Pradhan, A., Mallick, M., & Patra, K. C. (2021). Assessment of Shear Stress Distribution in Meandering Compound Channels with Differential Roughness Through Various Artificial Intelligence Approach. Water Resources Management, 35(13), 4535-4559. DOI: https://doi.org/10.1007/s11269-021-02966-5

Mohanta, A., Pradhan, A., & Patra, K. C. (2022). Determination of Discharge Distribution in Meandering Compound Channels Using Machine Learning Techniques. Journal of Irrigation and Drainage Engineering, 148(1), 04021063. DOI: https://doi.org/10.1061/(ASCE)IR.1943-4774.0001645

Najafzadeh, M., Rezaie-Balf, M., & Tafarojnoruz, A. (2018). Prediction of riprap stone size under overtopping flow using data-driven models. International Journal of River Basin Management, 16(4), 1-8. DOI: https://doi.org/10.1080/15715124.2018.1437738

Okkan, U., & Inan, G. (2014). Bayesian learning and relevance vector machines approach for downscaling of monthly precipitation. Journal of Hydrologic Engineering, 20(4), 04014051. DOI: https://doi.org/10.1061/(ASCE)HE.1943-5584.0001024

Pal, M., & Deswal, S. (2010). Modelling pile capacity using Gaussian process regression. Computers and Geotechnics, 37(7-8), 942-947. DOI: https://doi.org/10.1016/j.compgeo.2010.07.012

Patel, H. S. (1984). Boundary shear in rectangular and compound ducts [Ph. D, University of Birmingham].

Patel, V. C. (1965). Calibration of the Preston tube and limitations on its use in pressure gradients. Journal of Fluid Mechanics, 23(1), 185-208. DOI: https://doi.org/10.1017/S0022112065001301

Patra, K. C., & Kar, S. K. (2000). Flow interaction of meandering river with floodplains. Journal of Hydraulic Engineering, 126(8), 593-604. DOI: https://doi.org/10.1061/(ASCE)0733-9429(2000)126:8(593)

Preston, J. (1954). The determination of turbulent skin friction by means of Pitot tubes. The Aeronautical Journal, 58(518), 109-121. DOI: https://doi.org/10.1017/S0368393100097704

Rasmussen, C. E. (1999). Evaluation of Gaussian processes and other methods for non-linear regression. Citeseer.

Rasmussen, C. E., & Nickisch, H. (2010). Gaussian processes for machine learning (GPML) toolbox. Journal of Machine Learning Research, 11(Nov), 3011-3015.

Rasmussen, C. E., & Williams, C. K. I. (2006). Gaussian process for machine learning. MIT press. DOI: https://doi.org/10.7551/mitpress/3206.001.0001

Roushangar, K., Garekhani, S., & Alizadeh, F. (2016). Forecasting daily seepage discharge of an earth dam using wavelet-mutual information-Gaussian process regression approaches. Geotechnical and Geological Engineering, 34(5), 1313-1326. DOI: https://doi.org/10.1007/s10706-016-0044-4

Samui, P., & Dixon, B. (2012). Application of support vector machine and relevance vector machine to determine evaporative losses in reservoirs. Hydrological Processes, 26(9), 1361-1369. DOI: https://doi.org/10.1002/hyp.8278

Sattar, A. M. A., Ertugrul, O. F., Gharabaghi, B., McBean, E. A., & Cao, J. (2017). Extreme learning machine model for water network management. Neural Computing and Applications, 1-13. DOI: https://doi.org/10.1007/s00521-017-2987-7

Shabanlou, S. (2018). Improvement of extreme learning machine using self-adaptive evolutionary algorithm for estimating discharge capacity of sharp-crested weirs located on the end of circular channels. Flow Measurement and Instrumentation, 59, 63-71. DOI: https://doi.org/10.1016/j.flowmeasinst.2017.11.003

Shende, S., & Chau, K.-W. (2018). Forecasting Safe Distance of a Pumping Well for Effective Riverbank Filtration. Journal of Hazardous, Toxic, and Radioactive Waste, 23(2), 04018040. DOI: https://doi.org/10.1061/(ASCE)HZ.2153-5515.0000434

Sun, A. Y., Wang, D., & Xu, X. (2014). Monthly streamflow forecasting using Gaussian process regression. Journal of Hydrology, 511, 72-81. DOI: https://doi.org/10.1016/j.jhydrol.2014.01.023

Torres-Rua, A. F., Ticlavilca, A. M., Walker, W. R., & McKee, M. (2012). Machine learning approaches for error correction of hydraulic simulation models for canal flow schemes. Journal of Irrigation and Drainage Engineering, 138(11), 999-1010. DOI: https://doi.org/10.1061/(ASCE)IR.1943-4774.0000489

Varvani, J., & Khaleghi, M. R. (2018). A performance evaluation of neuro-fuzzy and regression methods in estimation of sediment load of selective rivers [journal article]. Acta Geophysica, 1-10. https://doi.org/10.1007/s11600-018-0228-9 DOI: https://doi.org/10.1007/s11600-018-0228-9

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Published

2025-12-30

How to Cite

Mohanta, A., Dalai, C., & Mallick, M. (2025). Modelling Floodplain Boundary Shear Distribution in Two-Stage Meandering Channels Using Machine Learning Techniques. NG Civil Engineering, 1(4), 22-30. https://doi.org/10.66132/ngce20250404

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