Probability distributions of bed load transport rates: A new derivation and comparison with field data

Water Resources Research

Volumn 46, Issue 8, 2010, Pages

  Turowski, Jens M ^a  

^a SWISS FEDERAL RESEARCH INSTITUTE WSL   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

AUSTRIA; BED FORMS; BED-LOAD TRANSPORT; BED-LOAD TRANSPORT RATE; BIRNBAUM-SAUNDERS DISTRIBUTION; FIELD DATA; GAMMA DISTRIBUTION; HIGH RESOLUTION; HYDRAULIC CONDITIONS; INTER-ARRIVAL TIME; MULTISCALING; NEW APPROACHES; PARAMETER DISTRIBUTIONS; SAMPLING TIME; SEDIMENT PARTICLES; SEDIMENT TRANSPORT RATE; TRANSPORT RATE; WAITING-TIME;

DISTRIBUTION FUNCTIONS; SEDIMENT TRANSPORT; SEDIMENTOLOGY;

POISSON DISTRIBUTION;

BEDFORM; BEDLOAD; FLOW VELOCITY; POISSON RATIO; PROBABILITY; SEDIMENT TRANSPORT; STATISTICAL DISTRIBUTION;

AUSTRIA;

EID: 77955588211     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2009WR008488     Document Type: Article

References (37)

1. Ancey, C., T. Böhm, M. Jodeau, and P. Frey (2006), Statistical description of sediment transport experiments, Phys. Rev. E, 74, 011302, doi:10.1103/PhysRevE.74.011302. (Pubitemid 44091260)
2. Ancey, C., A. C. Davison, T. Böhm, M. Jodeau, and P. Frey (2008), Entrainment and motion of coarse particles in a shallow water stream down a steep slope, J. Fluid Mech., 595, 83-114, doi:10.1017/ S0022112007008774.
3. Benda, L., and T. Dunne (1997), Stochastic forcing of sediment routing and storage in channel networks, Water Resour. Res., 33(12), 2865-2880, doi:10.1029/97WR02387.
4. Berry, A. C. (1941), The accuracy of the Gaussian approximation to the sum of independent variates, Trans. Am. Math. Soc., 49, 122-136.
5. Birnbaum, Z. W., and S. C. Saunders (1968), A probabilistic interpretation of Miner's rule, SIAM J. Appl. Math., 16(3), 637-652.
6. Bunte, K., and S. R. Abt (2005), Effect of sampling time on measured gravel bed load transport rates in a coarse-bedded stream, Water Resour. Res., 41, W11405, doi:10.1029/2004WR003880. (Pubitemid 43041781)
7. Carey, W. P. (1985), Variability in measured bed load-transport rates, Water Resour. Bull., 21, 39-48.
8. Carey, W. P., and D. W. Hubbell (1986), Probability distributions for bed load transport, in Proceedings of the 4th Federal Inter-Agency Sediment Conference, US Geological Survey, vol.2, 4131-4140.
9. Chen, L., and M. C. Stone (2008), Influence of bed material size heterogeneity on bed load transport uncertainty, Water Resour. Res., 44, W01405, doi:10.1029/2006WR005483. (Pubitemid 351304130)
10. Desmond, A. (1985), Stochastic models of failure in random environments, Can. J. Stat., 13(2), 171-183.
11. Drake, T. G., R. L. Shreve, W. E. Dietrich, P. J. Whiting, and L. B. Leopold (1988), Bed load transport of fine gravel observed by motion-picture photography, J. Fluid Mech., 192, 193-217.
12. Einstein, H. A. (1937), Der Geschiebetrieb als Wahrscheinlichkeitsproblem, Mitt. Versuchsanst. Wasserbau Eidg. Tech. Hochsch. Zürich, Rascher, Zürich, Switzerland.
13. Esséen, C. G. (1942), On the Liapounoff Limit of Error in the theory of probability, Ark. Mat. Astr. Och Fys., 28A(9), 1-19.
14. Frey, P., C. Ducottet, and J. Jay (2003), Fluctuations of bed load solid discharge and grain size distribution on steep slopes with image analysis, Exp. Fluids, 35(6), 589-597, doi:10.1007/s00348-003-0707-9. (Pubitemid 38028211)
15. Gomez, B., and M. Church (1989), An assessment of bed load transport formulae for gravel bed rivers, Water Resour. Res., 25(6), 1161-1186.
16. Gomez, B., R. L. Naff, and D. W. Hubbell (1989), Temporal variations in bed load transport rates associated with the migration of bed forms, Earth Surf. Processes Landforms, 14, 135-156.
17. Hamamori, A. (1962), A theoretical investigation on the fluctuations of bed load transport, Rep. R4, Delft Hydraulics Laboratory, Delft, Netherlands.
18. Hassan, M. A., and M. Church (2000), Experiments on surface structure and partial sediment transport on a gravel bed, Water Resour. Res., 36, 1885-1895, doi:10.1029/2000WR900055.
19. Hoey, T. (1992), Temporal variations in bed load transport rates and sediment storage in gravel bed rivers, Prog. Phys. Geog., 16, 319-338.
20. Hofer, B. (1987), Der Feststofftransport von Hochgebirgsbächen am Beispiel des Pitzbachs, Österreichische Wasserwirtschaft, 39, 30-38.
21. Johnson, N. L., S. Kotz, and N. Balakrishnan (1995), Continuous univariate distributions, 2nd ed., vol.2, pp. 651-663, John Wiley, New York.
22. Kirchner, J. W., W. E. Dietrich, F. Iseya, and H. Ikeda (1990), The variability of critical shear Stress, friction angle, and grain protrusion in waterworked sediments, Sedimentology, 37, 647-672.
23. Kuhnle, R. A., and J. B. Southard (1988), Bed load transport fluctuations in a gravel bed laboratory channel, Water Resour. Res., 24, 247-260.
24. Kuhnle, R. A., and J. C. Willis (1998), Statistics of sediment transport in Goodwin Creek, J. Hydrol. Eng., 124, 1109-1114.
25. Lague, D., N. Hovius, and P. Davy (2005), Discharge, discharge variability, and the bedrock channel profile, J. Geophys. Res., 110, F04006, doi:10.1029/2004JF000259.
26. Lisle, I. G., C. W. Rose, W. L. Hogarth, P. B. Hairsine, G. C. Sander, and J. Parlange (1998), Stochastic sediment transport in soil erosion, J. Hydrol., 204, 217-230.
27. Lisle, T. E., Y. Cui, G. Parker, J. E. Pizzuto, and A. M. Dodd (2001), The dominance of dispersion in the evolution of bed material waves in gravel bed rivers, Earth Surf. Processes Landforms, 26, 1409-1420, doi:10.1002/esp.300. (Pubitemid 34010688)
28. Papanicolaou, A. N., P. Diplas, N. Evaggelopoulos, and S. Fotopoulos (2002), Stochastic incipient motion criterion of spheres under various bed packing conditions, J. Hydrol. Eng., 128(4), 369-380, doi:10.1061/ (ASCE)0733-9429(2002)128:4(369).
29. Recking, A., P. Frey, A. Paquier, and P. Belleudy (2009), An experimental investigation of mechanisms involved in bed load sheet production and migration, J. Geophys. Res., 114, F03010, doi:10.1029/2008JF000990.
30. Rickenmann, D., and B. W. McArdell (2008), Calibration of piezoelectric bed load impact sensors in the Pitzbach mountain stream, Geodin. Acta, 21, 35-52, doi:10.3166/ga.21.35-52.
31. Singh, A., K. Fienberg, D. J. Jerolmack, J. Marr, and E. Foufoula-Georgiou (2009), Experimental evidence for statistical scaling and intermittency in sediment transport rates, J. Geophys. Res., 114, F01025, doi:10.1029/ 2007JF000963.
32. Stark, C. P., and N. Hovius (2001), The characterization of landslide size distributions, Geophys. Res. Lett., 28, 1091-1094.
33. Turowski, J. M. (2009), Stochastic modeling of the cover effect and bedrock erosion, Water Resour. Res., 45, W03422, doi:10.1029/ 2008WR007262.
34. Turowski, J. M., and D. Rickenmann (2009), Tools and cover effects in bed load transport observations in the Pitzbach, Austria, Earth Surf. Processes Landforms, 34, 26-37, doi:10.1002/esp.1686.
35. Wilcock, P. R., and B. W. McArdell (1993), Surface-based fractional transport rates: Mobilization thresholds and partial transport of a sand-gravel sediment, Water Resour. Res., 29(4), 1297-1312.
36. Willis, J. C., and G. C. Bolton (1979), Statistical analysis of concentration records, J. Hydrol. Div., 105(1), 1-15.
37. Zimmermann, A., M. Church, and M. A. Hassan (2008), Video-based gravel transport measurements with a flume mounted light table, Earth Surf. Processes Landforms, 33, 2285-2296, doi:10.1002/esp.1675.