Simple Method for Calculating Reach-Averaged Bed-Load Transport
Publication: Journal of Hydraulic Engineering
Volume 139, Issue 1
Abstract
A simple and robust method is proposed for calculating reach-averaged bed-load transport in sand- and gravel-bed rivers with no calibration. The data required are the bed surface and measured with the nontruncated pebble-count technique, the slope, the width, and the flow depth or discharge. The method is illustrated by comparison with bed-load samples measured in 15 river reaches.
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Acknowledgments
This study was funded by the Irstea and the ANR GESTRANS project granted to Alain Recking. It would not have been possible without the USDA and the USGS data sets, in addition to all the other published data sets presented in Recking (2010). The author is particularly grateful to Mary-Ann Madej from USGS, Randy Klein from Redwood National and State Parks, Mike Church from UBC, Ian Reid from Loughborough University, Sandra E. Ryan-Burkett from the U.S. Forest Service, and John Pitlick from the University of Colorado for having generously provided their data.
References
Almedeij, J. H. (2002). “Bedload transport in gravel-bed streams under a wide range of Shields stresses.” Ph.D. thesis, Faculty of the Virginia Polytechnic Institute and State Univ., Blacksburg, VA.
Barry, J. J., Buffington, J. M., and King, J. G. (2004). “A general power equation for predicting bed load transport rates in gravel bed rivers.” Water Resour. Res., 40(10), W10401.
Bathurst, J. C., Li, R.-M., and Simons, D. B. (1981). “Resistance equation for large-scale roughness.” J. Hydr. Div., 107(HY12), 1593–1613.
Brownlie, W. R. (1981). “Computation of alluvial channel data: Laboratory and field.” California Institute of Technology, Passadena, CA, 209.
Brummer, C. J., and Montgomery, D. R. (2006). “Influence of coarse lag formation on the mechanics of sediment pulse dispersion in a mountain stream, Squire Creek, North Cascades, Washington, United States.” Water Resour. Res., 42(7), 1–16.
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), 1993–2027.
Bunte, K., and Abt, S. R. (2001). “Sampling surface and subsurface particle-size distributions in Wadable and cobble bed streams for analyses in sediment transport, hydraulics and streambed monitoring.”, Rocky Mountain Research Station, 450.
Clayton, A., and Pitlick, J. (2008). “Persistence of the surface texture of a gravel-bed river during a large flood.” Earth Surf. Processes Landforms, 33(5), 661–673.
Dietrich, W. E., Kirchner, J. W., Ikeda, H., and Iseya, F. (1989). “Sediment supply and the development of the coarse surface layer in gravel-bedded rivers.” Nature, 340(6230), 215–217.
Einstein, H. A. (1944). “Bed load transportation in Mountain Creek.”, U.S. Soil Conservation Service, Washington, DC.
Einstein, H. A. (1950). “The bed-load function for sediment transportation in open channel flows.” U.S. Dept. of Agriculture-Soil Conservation Service, Washington, DC.
Ferguson, R. (2007). “Flow resistance equations for gravel and boulder bed streams.” Water Resour. Res., 43(5), W05427.
Ferguson, R. (2012). “River channel slope, flow resistance, and gravel entrainment thresholds.” Water Resour. Res., 48(5), W05517.
Ferguson, R., and Church, M. (2009). “A critical perspective on 1-D modeling of river processes: Gravel load and aggradation in lower Fraser River.” Water Resour. Res., 45(11), W11424.
Ferguson, R. I. (2003). “The missing dimension: Effects of lateral variation on 1-D calculations of fluvial bedload transport.” Geomorphol., 56(1–2), 1–14.
Garcia, C., Laronne, J. B., and Sala, M. (2000). “Continuous monitoring of bedload flux in a mountain gravel-bed river.” Geomorphol., 34(1–2), 23–31.
García, C., and Sala, M. (1998). “Application de formulas de transporte de fondo a un rio de gravas: Comparacion con las tasas reales de transporte en el rio tordera.” Ingeniería del Agua, 5(1), 59–72.
Guo, J. (2002). “Logarithmic matching and its applications in computational hydraulics and sediment transport.” J. Hydraul. Res., 40(5), 555–565.
King, J. G., Emmett, W. W., Whiting, P., Kenworthy, S. T., and Barry, J. J. (2004). “Sediment transport data and related information for selected corse-bed streams and rivers in Idaho.” 〈http://www.fs.fed.us/rm/boise/research/watershed/BAT〉 (Feb 2009).
Lamb, M. P., Dietrich, W. E., and Venditti, J.-G. (2008). “Is the critical Shields stress for incipient sediment motion dependent on channel-bed slope?.” J. Geophys. Res., 113, F02008.
Lenzi, M. A., D’Agostino, V., and Billi, P. (1999). “Bedload transport in the instrumented catchment of the Rio Cordon. Part 1: Analysis of bedload records, conditions and threshold of bedload entrainment.” Catena, 36(3), 171–190.
Leopold, L. B., and Emmett, W. W. (1976). “Bedload measurements, East Fork River, Wyoming.” Proc. Natl. Acad. Sci., 73(4), 1000–1004.
Lisle, T. E. (1986). “Stabilization of a gravel channel by large streamside obstruction and bedrock bends, Jacoby Creek, Northwestern California.” Geol. Soc. Am. Bull., 97(8), 999–1011.
Lisle, T. E. (1989). “Sediment transport and resulting deposition in Spawning Gravels, North Coastal California.” Water Resour. Res., 25(6), 1303–1319.
Madej, M. A., and Ozaki, V. (1996). “Channel response to sediment wave propagation and movement, Redwood Creek, California, USA.” Earth Surf. Processes Landforms, 21(10), 911–927.
McLean, D. G., Church, M., and Tassone, B. (1999). “Sediment transport along lower Fraser River: 1. Measurements and hydraulic computations.” Water Resour. Res., 35(8), 2533–2548.
Milhous, R. T. (1973). “Sediment transport in a gravel-bottomed stream.” Ph.D. thesis, Oregon State Univ., Corvallis, OR.
Mueller, E. R., Pitlick, J., and Nelson, J. M. (2005). “Variation in the reference Shields stress for bed load transport in gravel-bed streams and rivers.” Water Resour. Res., 41(4), W04006.
Paintal, A. S. (1971). “Concept of critical shear stress in loose boundary open channels.” J. Hydraul. Res., 9(1), 91–113.
Parker, G. (1990). “Surface-based bedload transport relation for gravel rivers.” J. Hydraul. Res., 28(4), 417–428.
Parker, G., and Klingeman, P. C. (1982). “On why gravel bed streams are paved.” Water Resour. Res., 18(5), 1409–1423.
Peterson, A. W., and Howells, R. F. (1973). “A compendium of solids transport data for mobile boundary channels.”, Dept. of Civil Engineering, Univ. of Alberta, Canada.
Pitlick, J. (1993). “Response and recovery of a subalpine stream following a catastrophic flood.” Geol. Soc. Am. Bull., 105(5), 657–670.
Pitlick, J., Mueller, E. R., Segura, C., Cress, R., and Torizzo, M. (2008). “Relation between flow, surface-layer armoring and sediment transport in gravel-bed rivers.” Earth Surf. Processes Landforms, 33(8), 1192–1209.
Recking, A. (2009). “Theoretical development on the effects of changing flow hydraulics on incipient bedload motion.” Water Resour. Res., 45(4), W04401.
Recking, A. (2010). “A comparison between flume and field bedload transport data and consequences for surface based bedload transport prediction.” Water Resour. Res., 46(3), W03518.
Recking, A., Frey, P., Paquier, A., and Belleudy, P. (2009). “An experimental investigation of mechanisms responsible for bedload sheet production and migration.” J. Geophys. Res., 114, F03010.
Recking, A., Frey, P., Paquier, A., Belleudy, P., and Champagne, J. Y. (2008). “Feedback between bed load transport and flow resistance in gravel and cobble bed rivers.” Water Resour. Res., 44(5), W05412.
Recking, A., Liébault, F., Peteuil, C., and Jolimet, T. (2012). “Testing several bed load transport equations with consideration of time scales.” Earth Surf. Processes Landforms, 37(7), 774–789.
Reid, I., and Frostick, L. E. (1986). “Dynamics of bedload transport in Turkey Brook, a coarse-grained alluvial channel.” Earth Surf. Processes Landforms, 11(2), 143–155.
Rickenmann, D., and Recking, A. (2011). “Evaluation of flow resistance in gravel-bed rivers through a large field dataset.” Water Resour. Res., 47, 1–22.
Ryan, S., Porth, L., and Troendle, C. (2005). “Coarse sediment transport in mountain streams in Colorado and Wyoming, USA.” Earth Surf. Processes Landforms, 30(3), 269–288.
Ryan, S. E., Porth, L. S., and Troendle, C. A. (2002). “Defining phases of bedload transport using piecewise regression.” Earth Surf. Processes Landforms, 27(9), 971–990.
Shields, A. (1936). “Application of similarity principles and turbulence research to bed load movement.” U.S. Dept. of Agriculture, Soil Conservation Service Cooperative Laboratory, California Institute of Technology, Pasadena, CA.
Smart, G. (1999). “Turbulent velocity profiles and boundary shear in gravel bed rivers.” J. Hydraul. Eng., 125(2), 106–116.
Strom, K. B., and Papanicolaou, A. N. (2009). “Occurrence of cluster microforms in mountain rivers.” Earth Surf. Processes Landforms, 34(1), 88–98.
Vollmer, S., and Kleinhans, G. (2007). “Predicting incipient motion, including the effect of turbulence pressure fluctuations in the bed.” Water Resour. Res., 43(5), W05410.
Whiting, P., Dietrich, W. E., Leopold, L. B., Drake, T. G., and Sherve, R. L. (1988). “Bedload sheets in heterogenous sediments.” Geology, 16(2), 105–109.
Wilcock, P. (2001). “Toward a practical method for estimating sediment-transport rate in gravel-bed rivers.” Earth Surf. Processes Landforms, 26(13), 1395–1408.
Wilcock, P., Pitlick, J., and Cui, Y. (2009). “Sediment transport primer: Estimating bed-material transport in gravel-bed rivers.”, U.S. Dept. of Agriculture, Forest service, Rocky Mountain Research Station, Fort Collins, CO.
Wilcock, P. R., and Crowe, J. C. (2003). “Surface-based transport model for mixed-size sediment.” J. Hydraul. Eng., 129(2), 120–128.
Wilcock, P. R., and DeTemple, B. T. (2005). “Persistence of armor layers in gravel-bed streams.” Geophys. Res. Lett., 32(8), L08402.
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.
Williams, G. P., and Rosgen, D. L. (1989). “Measured total sediment loads (suspended loads and bedloads) for 93 United States streams.”, Denver, CO, 128.
Wolman, M. G. (1954). “Method of sampling coarse river bed material.” Trans., Am. Geophys. Union, 35(6), 951–956.
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© 2013 American Society of Civil Engineers.
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Received: Jan 3, 2012
Accepted: Jun 20, 2012
Published online: Jul 23, 2012
Published in print: Jan 1, 2013
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