TECHNICAL PAPERS
Apr 1, 2002

Stochastic Prediction of Sediment Transport in Sand-Gravel Bed Rivers

Publication: Journal of Hydraulic Engineering
Volume 128, Issue 4

Abstract

Classical deterministic bedload transport predictors are applied to sand-gravel bed rivers. The turbulent bed shear stress is modeled according to a probability distribution to obtain realistic bedload transport rates at incipient motion. In extending the predictors to stochastic predictors for nonuniform sediment, many parameters that represent near-bed turbulence and the particle size distribution must be chosen. The parameters that give realistic results are chosen by analyzing the results of a new experimental flume dataset with relatively large water depths. Choosing other combinations of parameters may give equal total bedload transport rates, but at the cost of large errors in fractional transport rates. Attention is given to the hiding-exposure phenomenon and a hindrance effect related to nonuniform sediment. Validation based on two independent field datasets shows that successful predictions of particle sizes near the threshold for motion are feasible using the stochastic approach, while the deterministic approach gives successful predictions well above incipient motion.

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References

Andersen, A. G. (1942). “Distribution of suspended sediment in a natural stream.” Trans., Am. Geophys. Union, Paper Hydrology, 678–683.
Andrews, E. D.(1994). “Marginal bed load transport in a gravel bed stream, Sagehen Creek, California.” Water Resour. Res., 30(7), 2241–2250.
Blom, A., and Kleinhans, M. G. (1999). “Non-uniform sediment in morphological equilibrium situations.” Data Rep. Sand Flume Experiments 97/98, Univ. of Twente, Rijkswaterstaat RIZA, WL/Delft Hydraulics. Univ. of Twente, Civil Engineering and Management, The Netherlands.
Bridge, J. S., and Bennett, S. J.(1992). “A Model for the entrainment and transport of sediment grains of mixed sizes, shapes and densities.” Water Resour. Res., 28(2), 337–363.
Buffington, J. M., and Montgomery, D. R.(1997). “A systematic analysis of eight decades of incipient motion studies, with special reference to gravel-bedded rivers.” Water Resour. Res., 33(8), 1993–2029.
Buffington, J. M., and Montgomery, D. R.(1998). “Correction to ‘A systematic analysis of eight decades of incipient motion studies, with special reference to gravel-bedded rivers’.” Water Resour. Res., 34(1), 157–157.
Cao, Z.(1997). “Turbulent bursting-based sediment entrainment function.” J. Hydraul. Eng., 123(3), 233–236.
De Ruiter, J. C. C. (1980). “Stochastic model for incipient motion of sediment grains as a function of local parameters.” Rep. No. R657-XI, Delft Hydraulics, Delft, The Netherlands (in Dutch).
De Ruiter, J. C. C., and Van Mierlo, M. C. L. M. (1988). “Turbulence measurements above artificial dunes.” Rep. No. Q789-I, Delft Hydraulics, Delft, The Netherlands.
Egiazaroff, I. V.(1965). “Calculation of nonuniform sediment concentrations.” J. Hydraul. Div., 91(HY4), 225–248.
Einstein, H. A. (1937). “Bed load transport as a probability problem.” Sedimentation, H. W. Shen, ed., Zurich, Verlag Rascher & Co., 1–105.
Fernandez Luque, R., and Van Beek, R.(1976). “Erosion and transport of bed-load sediment.” J. Hydraul. Res., 14(2), 127–144.
Grass, A. J.(1970). “Initial instability of fine sand bed.” J. Hydraul. Div., 96(HY3), 619-632.
Hunziker, R. P. (1995). “Fractionwise sediment transport.” Versuchsanstalt für Wasserbau, Hydrologie und Glaziologie der Eidgenössischen Technischen Hochschule Zürich, Zürich, Switzerland, 76–113 (in German).
Kalinske, A. A.(1947). “Movement of sediment as bed load in rivers.” Trans., Am. Geophys. Union, 28(4), 615–620.
Kleinhans, M. G. (1996). “Sediment transport in the Dutch Rhine branches: Processing of 1988–1995 data and test of sediment transport predictors.” Netherlands Centre for Geo-ecological Research/Utrecht Univ. Physical Geography, ICG 96/7 (in Dutch).
Kleinhans, M. G. (1999). “Sediment transport in the River Waal: High discharge wave, November, 1998.” Netherlands Centre for Geo-ecological Research/Utrecht Univ. Physical Geography, ICG 99/6 (in Dutch).
Kornman, B. A. (1995). “The effect of changes in the lee side shape of dunes on the flow field, turbulence and hydraulic roughness.” Rep. No. 95-1, Institute for Marine and Atmospheric Research Utrecht, The Netherlands.
Kuhnle, R. A.(1993). “Incipient motion of sand-gravel sediment mixtures.” J. Hydraul. Eng., 119(12), 1400–1415.
Leopold, L. B., and Emmett, W. W.(1976). “Bedload measurements, East Fork River, Wyoming.” Proc. Natl. Acad. Sci. U.S.A., 73(4), 1000–1004.
Leopold, L. B., and Emmett, W. W.(1977). “1976 bedload measurements, East Fork River, Wyoming.” Geology. Proc. Natl. Acad. Sci. U.S.A., 74(7), 2644–2648.
Meyer-Peter, E., and Mueller, R. (1948). “Formulas for bed-load transport.” Proc., 3rd Conf. Int. Association of Hydraulic Research, Stockholm, Sweden, 39–64.
Misri, R. L., Garde, R. J., and Ranga Raju, K. G.(1984). “Bed load transport of coarse nonuniform sediment.” J. Hydraul. Eng., 110(3), 312–328.
Nelson, J. M., Shreve, R. L., McLean, S. R., and Drake, T. G.(1995). “Role of near-bed turbulence structure in bed load transport and bed form mechanics.” Water Resour. Res., 31(8), 2071–2086.
Parker, G. P., and Klingeman, P. C.(1982). “On why gravel bed streams are paved.” Water Resour. Res., 18(5), 1409–1423.
Parker, G., Klingeman, P. C., and McLean, D. G.(1982). “Bedload and size distribution in paved gravel-bed streams.” J. Hydraul. Div., 108(HY4), 544–571.
Petit, F.(1994). “Dimensionless critical shear stress evaluation from flume experiments using different gravel beds.” Earth Surf. Processes Landforms, 19, 565–576.
Ribberink, J. S. (1987). “Mathematical modelling of one-dimensional morphological changes in rivers with non-uniform sediment.” PhD thesis, Delft Univ., The Netherlands.
Ribberink, J. S.(1998). “Bed-load transport for steady flows and unsteady oscillatory flows.” Coastal Eng., 34, 59–82.
Samaga, B. R., Ranga Raju, K. G., and Garde, R. J.(1986). “Bed load transport of sediment mixtures.” J. Hydraul. Div., 112(HY11), 1003–1018.
Van den Berg, J. H.(1987). “Bedform migration and bed-load transport in some rivers and tidal environments.” Sedimentology, 34, 681–689.
Van Rijn, L. C.(1984). “Sediment transport, part I: bed load transport.” J. Hydraul. Eng., 110(10), 1431–1456.
Van Rijn, L. C. (1993). “Principles of sediment transport in rivers, estuaries and coastal seas.” Oldemarkt, Aqua, The Netherlands, 7.41–7.43 (stochastic predictor).
Van Rijn, L. C. (2000). “Engineering sand model for sand transport.” Rep. No. Z2099.30, Delft Hydraulics, Delft, The Netherlands.
Wathen, S. J., Ferguson, R. I., Hoey, T. B., and Werritty, A.(1995). “Unequal mobility of gravel and sand in weakly bimodal river sediments.” Water Resour. Res., 31(8), 2087–2096.
Wilcock, P. R.(1993). “Critical shear stress of natural sediments.” J. Hydraul. Eng., 119(4), 491–505.
Wilcock, P. R.(1997). “The components of fractional transport rate.” Water Resour. Res., 33(1), 247–258.
Wilcock, P. R., and McArdell, B. W.(1993). “Surface-based fractional transport rates: Mobilization thresholds and partial transport of a sand-gravel sediment.” Water Resour. Res., 29(4), 1297–1312.
Wilcock, P. R., and McArdell, B. W.(1997). “Partial transport of a sand-gravel sediment.” Water Resour. Res., 33(1), 235–245.
Wilcock, P. R., and Southard, J. B.(1988). “Experimental study of incipient motion in mixed-size sediment.” Water Resour. Res., 24(7), 1137–1151.
Zanke, U. (1990). “Incipient motion of sediment as a probability problem.” Wasser+Boden, 42.Jahrgang Heft 1, Bonn, Germany (in German).

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Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 128Issue 4April 2002
Pages: 412 - 425

History

Received: May 9, 2000
Published online: Apr 1, 2002
Published in print: Apr 2002

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Authors

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Maarten G. Kleinhans
Utrecht Univ., Netherlands Centre for Geo-ecological Research (ICG), Dept. of Physical Geography, P.O. Box 80115, 3508 TC Utrecht, The Netherlands.
Leo C. van Rijn
Prof. dr. ir, Utrecht Univ., Netherlands Centre for Geo-ecological Research (ICG), Dept. of Physical Geography, P.O. Box 80115, 3508 TC Utrecht, The Netherlands; also at WL|Delft Hydraulics, P.O. Box 177, 2600 MH Delft, The Netherlands.

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