Evaluation of Total Sediment Transport Model in the Simulation of Morphodynamics in Two Different Hydrodynamic Settings
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 148, Issue 6
Abstract
The bed level change in rivers and estuaries due to several dynamic parameters such as tide, waves, river discharge, and wind is a common problem. The current practice is to predict the changes through numerical modeling and compare it through field measurements. The empirical relations to be adopted for the sediment transport estimation form an integral part of morphodynamic models. In this study, five different total sediment transport formulae have been incorporated in the morphodynamic routine of a circulation model. The hydrodynamic model accounts for tide-induced flows, tide being the dominant forcing in the estuaries considered for the study. The preceding sediment transport formulae for predicting bed level changes (erosion and accretion) are subjected to an assessment, through statistical approaches, to find the most suitable formula for different hydrodynamic settings of a macrotidal estuary (Hooghly) and a microtidal estuary (Cochin). The results are validated with the field measurements and finally the appropriate empirical formula is designated based on a detailed analysis. The AW model outscores in the Brier skill score (BSS) analysis and thus qualifies to be most suited sediment transport model for the macrotidal estuarine dynamics with a score of 0.55, and the AW model is followed by the VR model with a score of 0.52. As per BSS, the EH model falls under the Good model category with a score of 0.48, for the microtidal estuary and thus qualifies to be the better suited sediment transport model among the models considered.
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Data Availability Statement
All data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Notation
The following symbols are used in this paper:
- Agr
- magnitude of inception of motion;
- B
- baseline measured bathymetry;
- C
- value related to dimensionless particle size number;
- Cd
- drag coefficient;
- D*
- dimensionless particle size number;
- D
- particle size in m at which 35 percent by weight of the bed material is finer;
- D50
- median grain size in m;
- Fgr
- particle mobility number;
- fn
- sediment fraction;
- Ggr
- sediment transport parameter;
- g
- acceleration due to gravity-m/s2;
- h
- flow depth in m;
- k
- factor of proportionality;
- MSE
- mean square error;
- m
- value related to dimensionless particle size number;
- n
- value related to dimensionless particle size number;
- qb
- bed transport load in m3/s/m;
- qs
- suspended sediment load in m3/s/m;
- qt
- volumetric total sediment transport load in m3/s/m;
- s
- specific gravity of sediment;
- u
- water flow velocity in m/s;
- u*
- friction/shear velocity in m/s;
- u*c
- critical friction/shear velocity;
- ucr
- critical flow velocity in m/s;
- ws
- settling velocity m/s;
- X
- evolved measured bathymetry;
- Y
- predicted bathymetry;
- δ
- measurement error;
- ρ
- density of water in kg/m3;
- ρs
- density of solids in kg/m3;
- τb
- bed shear in N/m2; and
- τcr
- critical shear in N/m2.
References
Ackers, P., and W. R. White. 1973. “Sediment transport: New approach and analysis.” J. Hydraul. Div. 99 (11): 2041–2060. https://doi.org/10.1061/JYCEAJ.0003791.
Anastasiou, K., and C. T. Chan. 1997. “Solution of the 2D shallow water equations using the finite volume method on unstructured triangular meshes.” Int. J. Numer. Methods Fluids 24 (11): 1225–1245. https://doi.org/10.1002/(SICI)1097-0363(19970615)24:11%3C1225::AID-FLD540%3E3.0.CO;2-D.
Bagnold, R. A. 1966. An approach to the sediment transport problem from general physics.” Geological Survey Professional Paper 422-I. Washington, DC: U.S. Government Printing Office.
Balachandran, K. K., G. S. Reddy, C. Revichandran, K. Srinivas, P. R. Vijayan, and T. J. Thottam. 2008. “Modelling of tidal hydrodynamics for a tropical ecosystem with implications for pollutant dispersion (Cohin Estuary, Southwest India).” Ocean Dyn. 58: 259–273. https://doi.org/10.1007/s10236-008-0153-6.
Bhaskaran, P. K., S. Mangalagiri, and B. Subba Reddy. 2014. “Dredging maintenance plan for the Kolkata port, India.” Curr. Sci. 107: 1125–1136.
Biswas, H., S. K. Mukhopadhyay, S. Sen, and T. K. Jana. 2007. “Spatial and temporal patterns of methane dynamics in the tropical mangrove dominated estuary, NE coast of Bay of Bengal, India.” J. Mar. Syst. 68: 55–64. https://doi.org/10.1007/BF02702007.
Camenen, B., and P. Larroudé. 2003. “Comparison of sediment transport formulae for the coastal environment.” Coastal Eng. 48 (2): 111–132. https://doi.org/10.1016/S0378-3839(03)00002-4.
Chien, N., and Z. Wan. 1999. Mechanics of sediment transport. Reston, VA: ASCE.
Colby, B. R. 1957. “Relationship of unmeasured sediment discharge to mean velocity.” Trans. Am. Geophys. Union 38 (5): 708–717. https://doi.org/10.1029/TR038i005p00708.
DuBoys, M. P. 1879. “Etudes du regime et l” action exercee parles eaux sur un lit a fond de graviers indefiniment affouilabie.” Ann. Ponts Chaussees 5 (18): 141–195.
Einstein, H. A. 1950. The bed-load function for sediment transportation in open channel flows. Technical Bulletin No. 1026. Washington, DC: USDA, Soil Conservation Service.
Engelund, F., and E. Hansen. 1967. A monograph on sediment transport in alluvial streams. Copenhagen, Denmark: Teknisk Forlag, Technical University of Denmark.
Exner, F. M. 1925. “On the interaction between water and debris in rivers.” [In German.] Reports of Meetings. 165–203. Wien: Mathematics, Astronomy, Physics and Meteorology (Academy of Sciences in Vienna, Mathematics and Natural Sciences Class).
Joseph, A., K. K. Balachandran, P. Mehra, R. G. P. Desai, N. Dabolkar, V. Kumar, C. Revichandran, and Y. Agarvadekar. 2007a. “Vulnerability of Cochin backwaters to meteorological disturbances with special reference to tidal propagation.” In Emerging trends in meteorology and oceanography METOC 2007, 67–76. Kochi, India: Centre for Monsoon Studies, Cochin Univ. of Science and Technology.
Joseph, A., P. Mehra, T. K. Sivadas, R. G. Prabhudesai, K. Srinivas, T. J. Thottam, P. R. Vijayan, C. Revichandran, and K. K. Balachandran. 2007b. “Identification of Msf tide amplification using a network of spatially distributed tide gauges.” In Int. Symp. on Ocean Electronics SYMPOL-2007, 162–176. Kochi, India: Department of Electronics, Cochin Univ. of Science and Technology.
Karim, F. 1998. “Bed material discharge prediction for nonuniform bed sediments.” J. Hydraul. Eng. 124 (6): 597–604. https://doi.org/10.1061/(ASCE)0733-9429(1998)124:6(597).
Maheshvaran, V., K. Murali, V. Sundar, and K. Chitra. 2019. “Study on maintenance dredging for navigable depth assurance in the macro-tidal hooghly estuary.” In Vol. 23 of Proc., 4th Int. Conf. in Ocean Engineering (ICOE2018). Singapore: Springer. Lecture Notes in Civil Engineering.
Mathew, R., and J. C. Winterwerp. 2020. “Sediment dynamics and transport regimes in a narrow microtidal estuary.” Ocean Dyn. 70: 435–462. https://doi.org/10.1007/s10236-020-01345-9.
Meyer-Peter, E., and R. Muller. 1948. “Formulas for bed load transport.” In Proc., 2nd Meeting of the Int. Association for Hydraulic Structures Research, 39–64. Stockholm, Sweden: IAHR.
Nguyen, V. T., and N. Yun. 2016. “Numerical investigation of sediment transport and bedmorphology on a stretch of nakdong river.” Procedia Eng. 154: 550–556. https://doi.org/10.1016/j.proeng.2016.07.551.
Pinto, L., A. B. Fortunato, Y. Zhang, A. Oliveira, and F. E. P. Sancho. 2012. “Development and validation of a three-dimensional morphodynamic modelling system for non-cohesive sediments.” J. Ocean Model. 57: 1–14.
Plecha, S., P. A. Silva, N. Vaz, X. Bertin, A. Oliveira, A. B. Fortunato, and J. M. Dias. 2010. “Sensitivity analysis of a morphodynamic modelling system applied to a coastal lagoon inlet.” Ocean Dyn. 60: 275–284. https://doi.org/10.1007/s10236-010-0267-5.
Sadhuram, Y., V. V. Sarma, T. V. Ramana Murthy, and B. Prabhakara Rao. 2005. “Seasonal variability of physico-chemical characteristics of the Haldia channel of Hooghly estuary, India.” J. Earth Syst. Sci. 114 (1): 37–49. https://doi.org/10.1007/BF02702007.
Saichenthur, N., K. Murali, and V. Sundar. 2019. “Study on stability of eden navigational channel in hooghly river estuary.” In Vol. 23 of Proc., 4th Int. Conf. in Ocean Engineering, edited by K. Murali, V. Sriram, A. Samad, and N. Saha, 337–352. Singapore: Springer. Lecture Notes in Civil Engineering.
Saichenthur, N., K. Murali, and V. Sundar. 2022. “Influence of horizontal eddy viscosity and bottom friction coefficients on morphodynamic evaluations.” J. Hydro-environ. Res. 40: 102–115. https://doi.org/10.1016/j.jher.2021.12.005.
Savenije, H. H. G. 2005. Salinity and tides in alluvial estuaries. Amsterdam, Netherlands: Elsevier.
Shields, A. 1936. Anwendung der ahnlichkeitsmechanik und der turbulentzforschung auf die geschiebebewegung. Mitt. Preuss. Versuchsanst. Wasserbau Schiffbau. Translated by W. P. Ott and J. C. van Uchelen. Rep. No.167, W. M. Keck Lab. Pasadena, CA: Hydraulic, Water Resources, California Institute of Technology.
Shivaprasad, A., J. Vinita, C. Revichandran, N. T. Manoj, K. V. Jayalakshmy, and K. R. Muraleedharan. 2013. “Ambiguities in the classification of Cochin Estuary, West Coast of India.” Hydrol. Earth Syst. Sci. Discuss. 10: 3595–3628.
Silva, P. A., X. Bertin, A. Oliveira, and A. Fortunato. 2009. “Intercomparison of sediment transport computations in current and combined wave and current conditions.” J. Coastal Res. SI56: 559–563.
Srinivas, K., C. Revichandran, P. A. Maheswaran, T. T. Mohammed Ashraf, and M. Nuncio. 2003. “Propagation of tides in the Cochin estuarine system, southwest coast of India.” Ind. J. Mar. Sci. 32: 14–24.
Srinivasan, V., R. Cavalcante, and C. Santos. 2008. “A comparative study of some of the sediment transport equations for an alluvial channel with dunes.” J. Urban Environ. Eng. 2 (1): 28–32. https://doi.org/10.4090/juee.2008.v2n1.028032.
Sutherland, J., L. J. Peet, and R. L. Soulsby. 2004. “Evaluating the performance of morphological models.” Coastal Eng. 917–939. https://doi.org/10.1016/j.coastaleng.2004.07.015.
Todeschini, I., M. Toffolon, and M. Tubino. 2008. “Long-term morphological evolution of funnel-shape tide-dominated estuaries.” J. Geophys. Res. 113: C05005.
Toffaleti, F. B. 1969. “Definitive computation of sand discharge in rivers.” J. Hydraul. Div. 95 (1): 225–248. https://doi.org/10.1061/JYCEAJ.0001936.
van Rijn, L. C. 1984a. “Sediment transport, part I: Bed load transport.” J. Hydraul. Eng. 110 (10): 1431–1456. https://doi.org/10.1061/(ASCE)0733-9429(1984)110:10(1431).
van Rijn, L. C. 1984b. “Sediment transport, part II: Suspended load transport.” J. Hydraul. Eng. 110 (11): 1613–1641. https://doi.org/10.1061/(ASCE)0733-9429(1984)110:11(1613).
William, J. J., and L. S. Esteves. 2017. “Guidance on setup, calibration, and validation of hydrodynamic, wave, and sediment models for shelf seas and estuaries.” J. Adv. Civ. Eng. 2017: 5251902.
Wu, W., S. S. Y. Wang, and Y. Jia. 2000. “Nonuniform sediment transport in alluvial rivers.” J. Hydraul. Res. 38 (6): 427–434. https://doi.org/10.1080/00221680009498296.
Yang, C. T. 1973. “Incipient motion and sediment transport.” J. Hydraul. Div. 99 (10): 1679–1704.
Yang, C. T. 2002. “Sediment transport and stream power.” Int. J. Sediment Res. 17 (1): 31–38.
Yang, S.-Q. 2005. “Formula for sediment transport in rivers, estuaries, and coastal waters.” J. Hydraul. Eng. 131: 968–979. https://doi.org/10.1061/(ASCE)0733-9429(2005)131:11(968).
Yang, S.-Q., and S.-Y. Lim. 2003. “Total load transport formula for flow in alluvial channels.” J. Hydraul. Eng. 129 (1): 68–72. https://doi.org/10.1061/(ASCE)0733-9429(2003)129:1(68).
Zavattero, E., M. Du, Q. Ma, O. Delestre, and P. Gourbesville. 2016. “2D sediment transport modelling in high energy river – application to Var River, France.” Procedia Eng. 154: 536–543. https://doi.org/10.1016/j.proeng.2016.07.549.
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Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 148 • Issue 6 • November 2022
Copyright
© 2022 American Society of Civil Engineers.
History
Received: Feb 24, 2022
Accepted: Jul 8, 2022
Published online: Sep 9, 2022
Published in print: Nov 1, 2022
Discussion open until: Feb 9, 2023
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