Machine Learning Approaches for Estimating Roughness Coefficients in Two-Stage Sinuous Channels

Authors

DOI:

https://doi.org/10.5281/zenodo.15479938

Keywords:

Artificial Neural Network, Extreme Learning Machines, Gene Expression Programming, Manning’s roughness coefficient, Sinuous Channels

Abstract

Estimating the flow rate of streams during floods is rarely successful due to a lack of dependable data from the field in natural areas. Predicting discharge depends greatly on the value of Manning’s roughness coefficient. The study uses Artificial Neural Networks (ANN), Gene Expression Programming (GEP), Extreme Learning Machines (ELM) and Gaussian Process Regression (GPR) as AI techniques to determine Manning’s roughness coefficient in two-stage sinuous channels. Relative width, depth ratio, sinuosity ratio, channel bed slope and sinuous belt width ratio are the input variables used for the model. They were taken into account to determine the roughness adjustment factor. Several experiments were run to test how different parameters affect roughness prediction. Results of the developed AI models were compared to those of established analytical methods using various statistical tricks. During the testing phase, the highest accuracy was achieved by GPR and ANN (R² = 0.82). After that, GEP reached R² = 0.79 and ELM R² = 0.65. Predictions of Manning's n using the GPR method are quite accurate. However, the GEP model's ability to generate a generalized model equation for Manning's n makes it particularly valuable. Based on the above, the GEP model’s expression was applied to estimate Manning’s n for measurements of a flood from the Baitarani River in India. It was confirmed that the proposed models can work in experimentally small-scale environments and real rivers.

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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.

Benabdesselam, A., Houichi, L., & Achour, B. (2022). GRNN-based models for hydraulic jumps in a straight rectangular compound channel. Modeling Earth Systems and Environment, 8(2), 1787-1798.

Bhattacharya, B., Price, R. K., & Solomatine, D. P. (2007). Machine learning approach to modeling sediment transport. Journal of Hydraulic Engineering, 133(4), 440-450.

Bonakdari, H., Baghalian, S., Nazari, F., & Fazli, M. (2011). Numerical analysis and prediction of the velocity field in curved open channel using artificial neural network and genetic algorithm. Engineering Applications of Computational Fluid Mechanics, 5(3), 384-396.

Cowan, W. L. (1956). Estimating hydraulic roughness coefficients. Agricultural Engineering, 37(7), 473-475.

Das, A. K. (1984). A study of river flood plain interaction and boundary shear stress distribution in a meander channel with one sided flood plain IIT, Kharagpur].

Das, B., Devi, K., & Khatua, K. (2021). Prediction of discharge in converging and diverging compound channel by gene expression programming. ISH Journal of Hydraulic Engineering, 27(4), 385-395.

Dash, S. S., & Khatua, K. K. (2016). Sinuosity dependency on stage discharge in meandering channels. Journal of Irrigation and Drainage Engineering, 142(9), 04016030.

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.

Fasken, G. B. (1963). Guide for selecting roughness coefficient" n" values for channels. US Dept. of Agriculture, Soil Conservation Service.

Genc, O., Kisi, O., & Ardicliog, M. (2014). Determination of Mean Velocity and Discharge in Natural Streams Using Neuro-Fuzzy and Neural Network Approaches. Water resources management, 28(9), 2387-2400.

Gholami, A., Bonakdari, H., Zaji, A. H., & Akhtari, A. A. (2020). A comparison of artificial intelligence-based classification techniques in predicting flow variables in sharp curved channels. Engineering with Computers, 36, 295-324.

Girard, A., Rasmussen, C. E., Candela, J. Q., & Murray-Smith, R. (2003). Gaussian process priors with uncertain inputs application to multiple-step ahead time series forecasting. Advances in neural information processing systems,

Greenhill, R. K., Sellin, R. H. J., Manning, & Strickler. (1993). Development of a simple method to predict discharges in compound meandering channels. Proceedings of the Institution of Civil Engineers-Water Maritime and Energy, 101(1), 37-44.

Huang, G.-B., Zhu, Q.-Y., & Siew, C.-K. (2006). Extreme learning machine: theory and applications. Neurocomputing, 70(1-3), 489-501.

James, C. S., & Wark, J. B. (1992). Conveyance estimation for meandering channels. Report SR 329, Hydraulic Res.

Jarrett, R. D. (1984). Hydraulics of high-gradient streams. Journal of Hydraulic Engineering, 110(11), 1519-1539.

Jena, S. (2007). Stage-discharge relationship in simple meandering channels. Master of Technology thesis, Indian Institute of Technology (IIT), Kharagpur, India.

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].

Khatua, K. K. (2007). Interaction of flow and estimation of discharge in two stage meandering compound channels [Ph. D, National Institute of Technology Rourkela]. Odisha, India.

Khatua, K. K., Patra, K. C., & Nayak, P. (2011). Meandering Effect For Evaluation Of Roughness Coefficients In Open Channel Flow. WIT Transactions on Ecology and the Environment, 146, 213-224.

Khatua, K. K., Patra, K. C., Nayak, P., & Sahoo, N. (2012). stage-discharge prediction for meandering channels. International Journal of Computational Methods and Experimental Measurements, 1(1), 80-92.

Kiely, G. K. (1989). An experimental study of overbank flow in straight and meandering compound channels NUI, at Department of Civil Engineering, UCC.].

Knight, D. W., & Sellin, R. H. J. (1987). The SERC flood channel facility. Water and Environment Journal, 1(2), 198-204.

Limerinos, J. T. (1970). Determination of the Manning coefficient from measured bed roughness in natural channels.

Mallick, M., Mohanta, A., Kumar, A., & Patra, K. C. (2020). Gene-expression programming for the assessment of surface mean pressure coefficient on building surfaces. Building Simulation, 13, 401-418.

Mehdizadeh, S., Behmanesh, J., & Khalili, K. (2017). Application of gene expression programming to predict daily dew point temperature. Applied Thermal Engineering, 112, 1097-1107.

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.

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. (2021). Gene-expression programming for calculating discharge in meandering compound channels. Sustainable Water Resources Management, 7(3), 33.

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.

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.

Mohanta, A., Patra, K. C., & Sahoo, B. (2018a). Anticipate Manning's coefficient in meandering compound channels. Hydrology, 5(3), 47.

Mohanta, A., Patra, K. C., & Sahoo, B. B. (2018b). Anticipate Manning's coefficient in meandering compound channels. Hydrology, 5(3), 47.

Mohanta, A., Patra, K. C., & Sahoo, B. B. (2018c). Anticipate Manning’s coefficient in meandering compound channels. Hydrology, 5(3), 47.

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.

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.

Mohanty, P. K. (2013). Flow Analysis of Compound Channels With Wide Flood Plains Prabir [Ph. D, National Institute of Technology Rourkela]. Odisha, India.

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.

Patra, K. C., & Kar, S. K. (2000). Flow interaction of meandering river with floodplains. Journal of Hydraulic Engineering, 126(8), 593-604.

Pradhan, A., & Khatua, K. K. (2017). Assessment of roughness coefficient for meandering compound channels. KSCE Journal of Civil Engineering, 1-13.

Pradhan, A., & Khatua, K. K. (2017). Gene expression programming to predict Manning's n in meandering flows. Canadian Journal of Civil Engineering, 45(4), 304-313.

Pradhan, A., & Khatua, K. K. (2018). Gene expression programming to predict Manning’sn in meandering flows. Canadian Journal of Civil Engineering, 45(4), 304-313.

Quinonero-Candela, J., & Rasmussen, C. E. (2005). A unifying view of sparse approximate Gaussian process regression. Journal of Machine Learning Research, 6(Dec), 1939-1959.

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.

Shankar Das, B., Devi, K., Khuntia, J. R., & Khatua, K. K. (2022). Flow Distributions in a Compound Channel with Diverging Floodplains. River Hydraulics: Hydraulics, Water Resources and Coastal Engineering Vol. 2, 113-125.

Sharghi, E., Nourani, V., Najafi, H., & Molajou, A. (2018). Emotional ANN (EANN) and wavelet-ANN (WANN) approaches for Markovian and seasonal based modeling of rainfall-runoff process. Water Resources Management, 32, 3441-3456.

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.

Shiono, K., Al-Romaih, J. S., & Knight, D. W. (1999). Stage-discharge assessment in compound meandering channels. Journal of Hydraulic Engineering, 125(1), 66-77.

Toebes, G. H., & Sooky, A. A. (1967). Hydraulics of meandering rivers with flood plains. Journal of the Waterways and Harbors Division, 93(2), 213-236.

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

Willetts, B. B., & Hardwick, R. I. (1993). Stage dependency for overbank flow in meandering channels. Proceedings of the Institution of Civil Engineers-Water Maritime and Energy, 101(1), 45-54. https://doi.org/https://doi.org/10.1680/iwtme.1993.22989

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Published

2025-05-20

How to Cite

Mohanta, A., & Choudhary, J. (2025). Machine Learning Approaches for Estimating Roughness Coefficients in Two-Stage Sinuous Channels. NG Civil Engineering, 1(2), 7-18. https://doi.org/10.5281/zenodo.15479938