Abstract
This paper reviews the modelling approaches and outstanding issues with regard to non-cohesive sediment transport which has been experimentally and numerically studied for many decades owing to its importance to hydraulic structures, morphology and related areas. About 311 papers are reviewed that included laboratory experiments, field observations, and analytical and numerical modelling studies. The reviewed papers cover the period 1938–2020. Of 311, 95 papers are included in this paper. The modeling approaches include empirical, physics-based, spatially averaged, and soft methods. The empirical models have oversimplified the process while the physics-based models are indispensable when the detailed analysis is required. On the other hand, when the objective is to obtain cumulative sediment loads, it would be advantageous to employ the spatial averaging modelling and/or the soft computing methods due to less computational burden and data requirements. The outstanding issues are related to the particle fall velocity, particle velocity, incipient motion, and transport function that require further experimental investigations especially for unsteady non-uniform transport processes.
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References
Arico C, Tucciarellei T (2008) Diffusive modelling of aggradation and degradation in artificial channels. J Hydraul Eng 134(8):1079–1088
Bagnold RA (1966) An approach to sediment transport problem from general physics. US Geological Survey Professional Paper 422-J
Bombar G, Elci S, Tayfur G, Guney S, Bor A (2011) Experimental and numerical investigation of bed-load transport under unsteady flows. J Hydraul Eng 137(10):1276–1282
Bor A (2008) Numerical modeling of unsteady and non-equilibrium sediment transport in rivers. MSc thesis, Dept. civil engineering, Izmir Institute of Technology
Bridge JS, Bennett SJ (1992) A model for the entrainment and transport of sediment grains of mixed sizes, shapes, and densities. Water Resour Res 28(2):337–363
Bridge JS, Dominic DF (1984) Bed load grain velocities and sediment transport rates. Water Resour Res 20(4):476–490
Cao Z, Carling PA (2003) On evolution of bed material waves in alluvial rivers. Earth Surf Process Landf 28:437–441
Cao Z, Pender G, Wallis S, Carling P (2004) Computational dam-break hydraulics over erodible sediment bed. J Hydraul Eng 130(7):689–703
Cao Z, Hu P, Hu K, Pender G, Liu Q (2015a) Modeling roll waves with shallow water equations and turbulent closure. J Hydraul Res 53(2):161–177
Cao Z, Li J, Pender G, Liu Q (2015b) Whole-process modeling of reservoir turbidity currents by a double layer-averaged model. J Hydraul Eng 141(2):04014069
Cao Z, Xia C, Pender G, Liu Q (2017) Shallow water hydro-sediment-morphodynamic equations for fluvial processes. J Hydraul Eng 143(5):02517001
Chalov RS, Jarsjo J, Kasimov NS, Romanchenko AO, Pietron J, Thorslund J, Promakhova EV (2015) Spatio-temporal variation of sediment transport in the Selenga River basin, Mongolia and Russia. Environ Earth Sci 73(2):663–680
Chien N, Wan ZH (1999) Mechanics of sediment transport. ASCE press ISBN (print): 978-0-7844-0400-3 ISBN (PDF): 978-0-7844-7890-5
Ching HH, Cheng CP (1964) Study of river bed degradation and aggradation by the method of characteristics. Chin J Hydraul Eng 5:41p
Dawson WC, Wilby R (1998) An artificial neural network approach to rainfall-runoff modelling. Hydrol Sci J 43(1):47–66
de Vries M (1965) Consideration about non-steady bed-load transport in open channels. In: Proc. XI Congress of the International Association for Hydraulic Research, Leningrad, Russia, Vol 3, Paper 3.8
de Vries M (1973) River bed variation—aggradation and degradation. In: International Seminar on Hydraulics of Alluvial Streams, International Association for Hydraulic Research, New Delhi (also available at Delft Hydraulic Laboratory, Delft, 1973, Pub. No. 107)
Dietrich WE (1982) Settling velocity of natural particles. Water Resour Res 18(6):1615–1626
Dietrich E, Day G, Parker G (1999) The Fly River, Papua New Guinea: inferences about river dynamics, floodplain sedimentation and fate of sediment. In: Miller AJ, Gupta A (eds) Varieties of fluvial form. John Wiley & Sons, Chichester, pp 345–376
Goldberg DE (1983) Computer-aided gas pipeline operation using genetic algorithms and rule learning. PhD Thesis, University of Michigan, Ann Arbor, MI, USA
Gongcharov BN (1962) River dynamics. Hydrology and Morphology Press, Leningrad
Guy HP, Simons DB, Richardson EV (1966) Summary of alluvial channel data from flume experiments, 1956–1961. U.S. Geological Survey Professional Paper, 462-I, 96p
Harun MA, Ghani AA, Mahmoodpour R, Chan NW (2020) Stable channel analysis with sediment transport for rivers in Malaysia: a case study of the Muda, Kurau, and Langat rivers. Int J Sediment Research 35(5):455–460
Holland JH (1975) Adaptation in natural and artificial systems. University of Michigan Press, Michigan
Jaiyeola AT, Adeyemo J (2019) Performance comparison between genetic programming and sediment rating curve for suspended sediment prediction. Afr J Sci Technol Innov Dev 11(1):1–17 843
Jia X, Li Y, Wang H (2016) Bed sediment particle size characteristics and its sources implication in the desert reach of the Yellow River. Environ Earth Sci 75:950
Jing H, Chen G, Wang W, Li G (2018) Effects of concentration-dependent settling velocity on nonequilibrium transport of suspended sediment. Environ Earth Sci 77:549
Kalinske AA (1947) Movement of sediment as bedload in rivers. Eos Trans AGU 28(4):615–620. https://doi.org/10.1029/TR028i004p00615
Kashani MM, Hin LS, Ibrahim S (2017) Experimental investigation of fine sediment deposition using particle image velocimetry. Environ Earth Sci 76:655
Khan MYA, Daityaril S, Chakrapani GJ (2016) Factors responsible for temporal and spatial variations in water and sediment discharge in Ramganga River, Ganga Basin, India. Environ Earth Sci 75:283
Khan MYA, Tian F, Hasan F, Chakrapani GJ (2019a) Artificial neural network simulation for prediction of suspended sediment concentration in the river Ramganga, Ganges Basin, India. Int J Sediment Res 34(2):95–107
Khan MYA, Hasan F, Tian F (2019b) Estimation of suspended sediment load using three neural network algorithms in Ramganga River catchment of Ganga Basin, India. Sustain Water Resour Manag 5:1115–1131
Kilinc M, Richardson EV (1973) Mechanics of soil erosion from overland flow generated by simulated rainfall. Hydrology Papers, Colorado State University, Fort Collins, Paper No. 63. https://mountainscholar.org/bitstream/handle/10217/61574/HydrologyPapers_n63.pdf?sequence=1&isAllowed=y
Lai CT (1991) Modeling alluvial-channel flow by multimode characteristic method. J Eng Mech 117(1):32–53
Langbein WB, Leopold LB (1968) River Channel Bars and Dunes - Theory of Kinematic Waves. U.S. Geological Survey Professional Paper 422-L, USGS, Washington DC, p 20. https://pubs.usgs.gov/pp/0422l/report.pdf
Lee G, Yu W, Jung K (2013) Catchment-scale soil erosion and sediment yield simulation using a spatially distributed erosion model. Environ Earth Sci 70:33–47
Levy II (1957) River dynamics. National Energy Resources Press, Moscow
Lisle TE, Pizzuto JE, Ikeda H, Iseya F, Kodama Y (1997) Evolution of a sediment wave in an experimental channel. Water Resour Res 33:1971–1981
Lisle TE, Cui YT, Parker G, Pizzuto JE, Dodd AM (2001) The dominance of dispersion in the evolution of bed material waves in gravel-bed rivers. Earth Surf Process Landf 26:1409–1420
Mahmood K (1975) Mathematical modeling of morphological transients in sandbed canals. In: Proc. 16th Congress of the International Association for Hydraulic Research, Sao Paolo, Brazil, Vol 2, Paper BB, pp 57–64
Mohammadian A, Tajrishi M, Azad FL (2004) Two-dimensional numerical simulation of flow and geo-morphological processes near headlands by using unstructured grid. Int J Sediment Res 19(4):258–277
Papangelakis E, MacVicar B, Ashmore P (2019) Bedload sediment transport regimes of semi-alluvial Rivers conditioned by urbanization and Stormwater management. Water Resour Res 55:10565–10587. https://doi.org/10.1029/2019WR025126
Perez FF, Sweeck L, Elskens M, Bauwens W (2017) A discontinuous finite element suspended sediment transport model for water quality assessments in river networks. Hydrol Process 31(9):1804–1816
Pianese D (1994) Comparison of different mathematical models for river dynamics analysis. In: International Workshop on Floods and Inundations Related to Large Earth Movements, Trent, Italy, October 4–7, Paper no. 782, p 24
Praskievicz S (2016) Modeling hillslope sediment yield using rainfall simulator field experiments and partial least squares regression: Cahaba River watershed, Alabama (USA). Environ Earth Sci 75(19):1324
Qian H, Cao Z, Pender G, Liu H, Hu P (2015) Well-balanced numerical modelling of non-uniform sediment transport in alluvial rivers. Int J Sediment Res 30(2):117–130
Rouse H (1938) Fluid Mechanics for Hydraulic Engineers. In: Engineering Societies Monographs. Wiley, New York
Safari MSJ, Aksoy H, Unal NE, Mohammadi M (2017) Experimental analysis of sediment incipient motion in rigid boundary open channels. Environ Fluid Mech 17(6):1281–1298
Sen Z (1999) Fuzzy modeling in Engineering. Graduate Course Notes, Civil Engineering Faculty, Istanbul Technical University, Istanbul, Turkey (in Turkish)
Sen Z (2004) Genetic algorithm and optimization methods. Su Vakfı Yayınları, Istanbul (in Turkish)
Shan YX, Hong WOW (2001) The analytical solution for sediment reaction and diffusion equation with generalized initial boundary conditions. Appl Math Mech 22(4):404–408
Sharmov GI (1959) River sedimentation. Hydrology and Morphology Press, Leningrad
Shojaeezadeha SA, Nikooa MA, Namara GPM, Agha A, Sadeghe M (2018) Stochastic modeling of suspended sediment load in alluvial rivers. Adv Water Resour 119:188–196
Singh VP (1996) Kinematic wave modeling in water resources: surface water hydrology. Wiley, New York
Singh U, Ahmad Z (2019) Transport rate and bed profile computations for clay–silt–gravel mixture. Environ Earth Sci 78(15):432
Singh N, Khan MYA (2020) ANN modeling of the complex discharge-sediment concentration relationship in Bhagirathi river basin of the Himalaya. Sustain Water Resour Manag 6:36. https://doi.org/10.1007/s40899-020-00396-6
Singh VP, Tayfur G (2008) Kinematic wave theory for transient bed sediment waves in alluvial rivers. J Hydrol Eng 13(5):297–304
Singh AK, Kothyari UC, Raju KGR (2004) Rapidly varying transient flows in alluvial rivers. J Hydraul Res 42(5):473–486
Soni JP (1975) Aggradation in streams due to increase in sediment load. Ph.D. Thesis, University of Roorkee, Roorkee, India
Soni JP (1981a) Laboratory study of aggradation in alluvial channels. J Hydrol 49(1–2):87–106
Soni JP (1981b) An error function solution of sediment transport in aggradation channels. J Hydrol 49(1–2):107–119
Spiliotis M, Kitsikoudis V, Kırca VSO, Hrissanthou V (2018) Fuzzy threshold for the initiation of sediment motion. Appl Soft Comput 72:312–320
Sulaiman MS, Sinnakaudan SK, Azhari NN, Abidin RZ (2017) Behavioral of sediment transport at lowland and mountainous rivers: a special reference to selected Malaysian rivers. Environ Earth Sci 76:300
Tayfur G (2002a) Applicability of sediment transport capacity models for nonsteady state Erosion from steep slopes. J Hydrol Eng 7(3):252–259
Tayfur G (2002b) Artificial neural networks for sheet sediment transport. Hydrol Sci J 47(6):879–892
Tayfur G (2007) Modeling sediment transport from bare rilled hillslopes by areally averaged transport equations. CATENA 70:25–38
Tayfur G (2012) Soft computing in water resources engineering: artificial neural network, fuzzy logic and genetic algorithm. WIT Press, Sauthampton
Tayfur G, Karimi Y (2014) Use of principal component analysis in conjunction with soft computing methods for investigating total sediment load transferability from laboratory to field scale. Hydrol Res 45(4–5):540–550
Tayfur G, Kavvas ML (1994) Spatially averaged conservation equations for interacting rill-interrill area overland flows. J Hydraul Eng 120(12):1426–1448
Tayfur G, Kavvas ML (1998) Areal averaged overland flow equations at hillslope scale. Hydrol Sci J 43(3):361–378
Tayfur G, Singh VP (2004) Numerical model for sediment transport over nonplanar, nonhomogeneous surfaces. J Hydrol Eng 9(1):35–41
Tayfur G, Singh VP (2006) Kinematic wave model of bed profiles in alluvial channels. Water Resour Res 42(6):W06414
Tayfur G, Singh VP (2007) Kinematic wave model for transient bed profiles in alluvial channels under nonequilibrium conditions. Water Resour Res 43:W12412
Tayfur G, Singh VP (2011) Simulating Transient Sediment Waves in Aggraded Alluvial Channels by Double-Decomposition Method. J Hydrol Eng 16(4):362–370
Tayfur G, Singh VP (2012) Transport capacity models for unsteady and non-equilibrium sediment transport in alluvial channels. Comput Electron Agric 86:15–25
Tayfur G, Kavvas ML, Govindaraju RS, Storm DE (1993) Applicability of St.Venant equations for two-dimensional overland flows over rough infiltrating surfaces. J Hydraul Eng 119(1):51–63
Tayfur G, Ozdemir S, Singh VP (2003) Fuzzy logic algorithm for runoff-induced sediment transport from bare soil surfaces. Adv Water Resour 26(12):1249–1256
Tayfur G, Karimi Y, Singh VP (2013) Principle component analysis in Conjuction with data driven methods for sediment load prediction. Water Resour Manag 27:2541–2554
Ulke A, Tayfur G, Ozkul S (2009) Predicting suspended sediment loads and missing data for Gediz River, Turkey. J Hydrol Eng 14(9):954–965
Vaighan AA, Talebbeydokhti N, Bavani AM (2017) Assessing the impacts of climate and land use change on streamflow, water quality and suspended sediment in the Kor River basin, southwest of Iran. Environ Earth Sci 76:543
Vasquez JA, Stefflewr PM, Millar RG (2008) Modelling bed changes in meandering rivers using triangular finite elements. J Hydraul Eng 134(9):1348–1352
Vetter M (1988) Total sediment transport in open channels. Report no. 26 of the Institute of Hydrology, University of the German Federal Army, Munich
Vreugdenhil CB, de Vries M (1973) Analytical approaches to non-steady bedload transport. Delft Hydraulics Laboratory, Delft, Research Report S 78, part IV, p 16
Wathen SJ, Hoey TB (1998) Morphological controls on the downstream passage of a sediment wave in a gravel-bed stream. Earth Surf Process Landf 23(8):715–730
Wu W (2004) Depth-averaged two-dimensional numerical modelling of unsteady flow and nonuniform sediment transport in open channels. J Hydraul Eng 130(10):1013–1024
Wu W, Vieria DA, Wang SYS (2004) One-dimensional numerical model for nonuniform sediment transport under unsteady flows in channel networks. J Hydraul Eng 130(9):914–923
Yang CT (1973) Incipient motion and sediment transport. J Hydraul Eng 99(10):1679–1704
Yang CT (1979) Unit stream power equations for total load. J Hydrol 40(1-2):123–138
Yang CT (1996) Sediment transport theory and practice. McGraw-Hill, New York
Yen BC (1973) Open channel flow equations revisited. J Eng Mech 99(5):979–1009
Zhang S, Duan JG, Strelkoff TS (2013) Grain-scale nonequilibrium sediment-transport model for unsteady flow. J Hydraul Eng 139(1):22–36
Zhao J, Xian IO, Liang D, Wanga T, Hinkelmanna R (2019) A depth-averaged non-cohesive sediment transport model with improved discretization of flux and source terms. J Hydrol 570:647–665
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Tayfur, G. Empirical, Numerical, and Soft Modelling Approaches for Non-Cohesive Sediment Transport. Environ. Process. 8, 37–58 (2021). https://doi.org/10.1007/s40710-020-00480-1
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DOI: https://doi.org/10.1007/s40710-020-00480-1