Technical Papers
Jan 12, 2024

Practical 2DV Modeling of Deposition and Erosion of Sand and Mud in Dredged Channels due to Currents and Waves

Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 150, Issue 2

Abstract

This paper presents an easy to operate time-dependent, two-dimensional vertical model for the simulation of sand and mud concentrations, transport, and morphodynamic bed evolution in conditions with combined currents and waves. The basic model equation is the advection–diffusion equation for sediments including flow velocities, sediment mixing coefficients, and the settling velocity. The vertical distribution of the sediment mixing coefficient is described by fairly simple and flexible expressions based on flow and wave parameters with user-specified coefficients for calibration of results. The settling velocity is constant or dependent on the sediment concentration to represent mud flocculation and hindered settling processes based on input parameters. The bed boundary condition is modeled by a bed concentration as a function of the bed-shear stress due to currents and waves. The model is valid for sand concentrations and for low and high mud concentrations including fluid mud concentrations. The numerical SUSTIM2DV model has been used to simulate sand and mud transport and bed level changes in dredged (shipping) channels. The model is valid for perpendicular and oblique flow across a dredged channel. The channel slopes should not be too steep (1V:7H or milder), because logarithmic velocity profiles are used. Results of various validation cases of channel deposition of sand, silt, and (fluid) mud in tidal conditions with and without waves are presented. The effect of channel geometry is specifically addressed. The numerical model has also been used to derive sediment trapping factors, which can be used in simpler channel deposition models.

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Data Availability Statement

Some of the data (trial dredge channel in coastal waters of Bangladesh), models, or codes (SUSTIM model) generated or used during the study are proprietary or confidential in nature and may only be provided with restrictions after consultation and approval of the authors.

Acknowledgments

The dredging contractor JandeNul Group in Belgium is gratefully acknowledged for providing field data and support to develop, calibrate, and validate the SUSTIM2DV model.

References

Baugh, J. V., and M. A. Littlewood. 2006. “Development of a cohesive sediment transport model of the Thames estuary.” In Proc., 9th Conf. in Estuarine and Coastal Modelling. Reston, VA: ASCE.
Deltares. 1977. Numerical model for non-steady suspended transport. [In Dutch.] Rep. No. R975 part II. Delft, Netherlands: Deltares.
Deltares. 1980. Computation of siltation in dredged trenches. Rep. No. R1267 part V. Delft, Netherlands: Deltares.
Deltares. 1985. Sutrench-model; two-dimensional vertical mathematical model for suspended sediment transport by currents and waves. Rep. No. S488 part IV. Delft, Netherlands: Deltares.
Deltares. 1986. Three-dimensional modelling of suspended sediment transport for currents and waves. Rep. No. H461/Q250/Q422, November 1986. Waterloopkundig Laboratorium, Netherlands: Deltares.
Deltares. 1989. Three dimensional modelling of sand and mud transport in currents and waves. Rep. No. H461-2. December 1989. Waterloopkundig Laboratorium, Netherlands: Deltares.
Deltares. 1990. Three-dimensional modeling of sand and mud transport in currents and waves. Waterloopkundig Laboratorium, Netherlands: Deltares.
Havinga, F. J. 1992. Sediment concentrations and sediment transport in case of irregular non-breaking waves with a current. Rep. No. H840. Delft, Netherlands: Delft Hydraulics.
HRS Wallingford. 1973. Laboratory studies of flow across dredged trenches. Rep. No. EX 618. Wallingford, UK: HRS Wallingford.
Kerssens, P. J. M., L. C. van Rijn, and A. Prins. 1979. “Model for suspended sediment transport.” J. Hydraulics Div. 105 (5): 461–476. https://doi.org/10.1061/JYCEAJ.0005201.
Kineke, G. C., and R. W. Sternberg. 1995. “Distribution of fluid muds on the Amazon continental shelf.” Mar. Geol. 125: 193–233. https://doi.org/10.1016/0025-3227(95)00013-O.
Kineke, G. C., R. W. Sternberg, J. H. Trowbridge, and W. R. Geyer. 1996. “Fluid-mud processes on the Amazon continental shelf.” Cont. Shelf Res. 16 (5/6): 667–696. https://doi.org/10.1016/0278-4343(95)00050-X.
Mangor, K. 1984. North Sea shore approach monitoring of sedimentation in a dredged trench. Hørsholm, Denmark: Danish Hydraulics Institute.
Mangor, K., T. Sorensen, and E. Navntoft. 1984. “Shore approach at the Danish North Sea coast, monitoring of sedimentation in a dredged trench.” In Proc., 19th Int. Conf. on Coastal Engineering, edited by B. L. Edge. Reston, VA: ASCE.
McAnally, W. H., C. Friedrichs, D. Hamilton, E. Hayter, P. Shresta, H. Rodriguez, A. Sheremet, and A. Teeter. 2007. “Management of fluid mud in estuaries, bays and lakes. I: Present state of understanding on character and behavior.” J. Hydraul. Eng. 133 (1): 9–22. https://doi.org/10.1061/(ASCE)0733-9429(2007)133:1(9).
Mehta, A. J. 2023. Introduction to hydraulics of fine sediment transport. Singapore: World Scientific.
Munk, W. H., and E. R. Anderson. 1948. “Notes on a theory of the thermocline.” J. Mar. Res. 3: 276–295.
Le Normant, C. 2000. “Three-dimensional modelling of cohesive sediment transport in the Loire Estuary.” Hydrol. Processes 14 (13): 2231–2243. https://doi.org/10.1002/1099-1085(200009)14:13%3C2231::AID-HYP25%3E3.0.CO;2-%23.
Soulsby, R. 1997. Dynamics of marine sands. London: Thomas Telford.
Toro, M., K. Meijer, and L. C. van Rijn. 1989. “Quasi-3D and fully-3D modelling of suspended sediment transport.” In Proc., Int. Symp. Sediment Transport Modelling. Reston, VA: ASCE.
van Maren, D. S., T. van Kessel, K. Cronin, and L. Sittoni. 2015. “The impact of channel deepening and dredging on estuarine sediment concentration.” Cont. Shelf Res. 95: 1–14. https://doi.org/10.1016/j.csr.2014.12.010.
van Rijn, L. C. 1986a. “Mathematical modelling of suspended sediment in nonuniform flows.” J. Hydraul. Eng. 112 (6): 433–454.
van Rijn, L. C. 1986b. “Sedimentation of dredged channels by currents and waves.” J. Waterw. Port Coastal Ocean Eng. 112 (5): 541–559.
van Rijn, L. C. 1987. “Mathematical modelling of morphological processes in the case of suspended sediment transport.” Ph.D. thesis, Dept. of Civil Engineering and Geosciences, Delft Univ. of Technology.
van Rijn, L. C. 1993. “Principles of sediment transport in rivers, estuaries and coastal seas.” Accessed September 13, 2023. www.aquapublications.nl.
van Rijn, L. C. 2007. “Unified view of sediment transport by currents and waves. I: Initiation of motion, bed roughness, and bed-load transport. II: Suspended transport; and III: Graded beds.” J. Hydraul. Eng. 133 (6): 649–667. 668–689, No. 7, 761–775. https://doi.org/10.1061/(ASCE)0733-9429(2007)133:6(649).
van Rijn, L. C. 2011. “Principles of fluid flow and surface waves in rivers, estuaries and coastal seas.” Accessed September 13, 2023. www.aquapublications.nl.
van Rijn, L. C. 2015. “Principles of sedimentation and erosion engineering in rivers, estuaries and coastal seas.”Accessed September 13, 2023. www.aquapublications.nl.
van Rijn, L. C. 2022. “Modelling of sediment deposition trial pits and shipping channel, Payra, Bangladesh (classified report).” LVRS-Consultancy. Accessed September 13, 2023. www.leovanrijn-sediment.com.
van Rijn, L. C. 2023a. “Modelling of sand and mud transport in tidal flow; SUSTIM2DV-model.” LVRS-Consultancy, Netherlands. Accessed September 13, 2023. www.leovanrijn-sediment.com.
van Rijn, L. C. 2023b. “Sedimentation harbour Landeyjahofn Iceland; existing harbour and future improvements.” LVRS-Consultancy, Netherlands. Accessed September 13, 2023. www.leovanrijn-sediment.com.
van Rijn, L. C., and K. Meijer. 1988. “Three-dimensional mathematical modelling of suspended sediment transport in currents and waves.” In Proc., Int. Association for Hydro-Environment Engineering and Research Symp. Copenhagen, Denmark: IAHR.
van Rijn, L. C., D.-J. R. Walstra, and M. van Ormondt. 2007. “Unified view of sediment transport by currents and waves. IV: Application of morphodynamic model.” J. Hydraul. Eng. 133 (7): 776–793. https://doi.org/10.1061/(ASCE)0733-9429(2007)133:7(776).
Vinzon, S. B., and A. J. Mehta. 2003. “Lutoclines in high concentration estuaries: Some observations at the Mouth of the Amazon.” J. Coastal Res. 19 (2): 243–253.
Waeles, B., P. Le Hir, and P. Lesueur. 2008. A 3D morphodynamic process-based modelling of a mixed sand/mud coastal environment. Paris: Seine Estuary.
Winterwerp, J. C., and W. G. M. van Kesteren. 2004. Introduction to the physics of cohesive sediment dynamics in the marine environment. Amsterdam, Netherlands: Elsevier.

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Published In

Go to Journal of Waterway, Port, Coastal, and Ocean Engineering
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 150Issue 2March 2024

History

Received: Sep 13, 2023
Accepted: Dec 9, 2023
Published online: Jan 12, 2024
Published in print: Mar 1, 2024
Discussion open until: Jun 12, 2024

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Authors

Affiliations

L. C. van Rijn, Dr.Eng. [email protected]
LVRS-Consultancy, Blokzijl 8356DS, Netherlands (corresponding author). Email: [email protected]
K. Meyer, Dr.Eng. [email protected]
Meyer Technical Services, Dwarsweg 13, Eesveen 8347WG, Netherlands. Email: [email protected]
K. Dumont, Dr.Eng. [email protected]
Dredging JandeNul Group, Tragel 60, Hofstade-Aalst 9808, Belgium. Email: [email protected]
Dredging JandeNul Group, Tragel 60, Hofstade-Aalst 9808, Belgium. Email: [email protected]

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