Effect of Seepage-Induced Nonhydrostatic Pressure Distribution on Bed-Load Transport and Bed Morphodynamics
This article has a reply.
VIEW THE REPLYPublication: Journal of Hydraulic Engineering
Volume 134, Issue 4
Abstract
Bed-load transport is commonly evaluated in the condition of a hydrostatic pressure distribution of the flow field; while this condition is reasonable for quasi-steady, quasi-uniform rectilinear flows, it cannot be satisfied in a large variety of flow conditions, i.e., near an obstacle as in the case of a bridge pier. The dimensionless Shields number, which contains the assumption of a hydrostatic pressure distribution in its denominator, therefore cannot be strictly applied to evaluate bed-load transport in all the configurations where nonhydrostatic pressure distributions are observed. In the present work, a generalization of the Shields number is proposed for the case of nonhydrostatic pressure distribution produced by groundwater flow. Experiments showing the effects of vertical groundwater flow on the bed morphodynamics are presented. The comparison between the experimental observations and numerical results, obtained by means of a morphodynamic model which employs the new formulation of the Shields number, suggests that the proposed generalization of the Shields number is able to account the effect of the nonhydrostatic pressure distribution on the bed-load transport.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
Professor Enio Paris is greatfully acknowledged for his support in the present research and for his precious comments and suggestions. The experiments reported here were performed at St. Anthony Falls Laboratory, University of Minnesota as part of the Ph.D. thesis of the first writer, in partial fulfillment of her degree. These experiments were supported in part by the visitor program of the National Center for Earth-Surface Dynamics (NCED), a Science and Technology Center of the United States National Science Foundation.NSF This paper represents a contribution to the effort of NCED in the area of channel dynamics. Preliminary results of the present work were published in the Conference Proceedings of RCEM 2005 and River Flow 2006.
References
Ali, K. H. M., Achterberg, J., Li, M., and Zhu, Y. (2003). “Effect of seepage on sediment transport in channels.” Proc., Int. Conf. on Estuaries and Coasts, IAHR, Hangzhou, China, 461–466.
Brinkman, H. C. (1947). “A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles.” Appl. Sci. Res., Sect. A, 1, 27–34.
Chen, X., and Chiew, Y. M. (2004). “Velocity distribution of turbulent open-channel flow with bed suction.” J. Hydraul. Eng., 140(2), 140–148.
Cheng, N. S., and Chiew, Y. M. (1998a). “Modified logarithmic law for velocity distribution subjected to upward seepage.” J. Hydraul. Eng., 124(12), 1235–1241.
Cheng, N. S., and Chiew, Y. M. (1998b). “Turbulent open-channel flow with upward seepage.” J. Hydraul. Res., 36(3), 415–431.
Cheng, N. S., and Chiew, Y. M. (1999). “Incipient sediment motion with seepage.” J. Hydraul. Res., 37(5), 665–681.
Chien, N. (1954). “Meyer-Peter formula for bed-load transport and Einstein bed-load function.” M.R.D. sediment series, No. 7, Univ. of California-Berkeley, and The Missouri River Division, U.S. Army Corps of Engineers, Berkeley, Calif.
Dey, S., and Zanke, C. E. (2004). “Sediment threshold with upward seepage.” J. Eng. Mech., 130(9), 1118–1123.
Francalanci, S. (2006). “Sediment transport processes and local scale effects on river morphodynamics.” Ph.D. thesis, Univ. of Padova, Padova Italy.
Francalanci, S., Parker, G., and Paris, E. (2005). “Effects of non-hydrostatic pressure distribution on bedload transport.” Proc., Int. Symp. on River, Coastal and Estuarine Morphodynamics RCEM 2005, G. Parker and M. H. Garcia, eds., Vol. 1, Taylor & Francis, London, 13–21.
Francalanci, S., Parker, G., and Solari, L. (2006). “Bedload transport in the case of seepage flow.” Proc., Int. Conf. on Fluvial Hydraulics River Flow 2006, R. M. L. Ferreira, E. C. T. L. Alves, J. G. A. B. Leal, and A. H. Cardoso, eds., Vol. 2, Taylor & Francis, London, 1569–1576.
Francalanci, S., and Solari, L. (2007). “Gravitational effects on bed load transport at low Shields stress: Experimental observations.” Water Resour. Res., 43, W03424.
Meyer-Peter, E., and Müller, R. (1948). “Formulas for bed-load transport.” Proc., 2nd Meeting, IAHR, Stockholm, Sweden, 39–64.
Parker, G. (1991). “Selective sorting and abrasion of river gravel. II: Applications.” J. Hydraul. Eng., 117(2), 150–171.
Parker, G., Seminara, G., and Solari, L. (2003). “Bedload at low Shields stress on arbitrarily sloping beds: Alternative entrainment formulation.” Water Resour. Res., 39(7), 1183.
Ramakrishnam, Rao A., and Sitaram, N. (1999). “Stability and mobility of sand-bed channels affected by seepage.” J. Irrig. Drain. Eng., 125(16), 370–379.
Rodi, W. (1980). Turbulence models and their application in hydraulics—A state of the art review, Institut fur Hydromechanik, University of Karlsruhe, Karlsruhe, Germany.
Seminara, G., Solari, L., and Parker, G. (2002). “Bed load at low Shields stress on arbitrarily sloping beds: Failure of the Begnold hypothesis.” Water Resour. Res., 38(11), 1249.
Shields, A. (1936). “Application of similitude mechanics and research on turbulence to bed load movement.” Mitteilungender Preussischer Versuchsanstalt fur Wasserbau und Schiffbau 26 (in German).
Vanoni, V. A., and Brooks, N. H. (1957). “Laboratory studies of the roughness and suspended load of streams,” Rep. No. E68, Sedimentation Lab., California Institute of Technology, Pasadena, Calif.
Wong, M., and Parker, G. (2006). “Reanalysis and correction of bed-load relation of Meyer-Peter and Müller using their own database.” J. Hydraul. Eng., 132(11), 1159–1168.
Information & Authors
Information
Published In
Copyright
© 2008 ASCE.
History
Received: May 5, 2006
Accepted: Aug 8, 2007
Published online: Apr 1, 2008
Published in print: Apr 2008
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.