Relationships for Non-Darcy Flow in Rockfill
Publication: Journal of Hydraulic Engineering
Volume 124, Issue 2
Abstract
This paper describes a synthesis of various studies on non-Darcy flow in rockfill material. Based on pipe theory and Taylor's (1948) definition for mean hydraulics radius in rockfill material, theoretical relationships between friction coefficient and Reynolds number and relationships between hydraulic gradient and bulk seepage velocity have been obtained. The new relationships between hydraulic gradient and bulk velocity are then compared to the various formulas for rockfill available in the literature by computer simulation.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Abt, S. R.(1991). “Estimating flow through riprap.”J. Hydr. Engrg., ASCE, 117(5), 670–675.
2.
Cedergren, H. R. (1977). Seepage, drainage and flow nets. John Wiley & Sons, Inc., New York, N.Y.
3.
Dudgeon, C. R.(1966). “An experimental study of the flow of water through coarse porous media.”La Houille Blanch, Grenoble, France, 7, 785–801.
4.
Ergun, S.(1952). “Fluid flow through packed columns.”Chemical Engrg. Progress, 48(2), 89.
5.
Forchheimer, P. H. (1901). “Wasserbewegun Durch Boden.”Zeitschrift des Vereines Deutscher Ingenieure, No. 49, 1736–1749, No. 50, 1781–1788.
6.
Garga, V. K., Townsend, R., and Hansen, D.(1991). “A method for determining the surface area of quarried rocks.”Geotech. Testing J., 14(1), 35–45.
7.
Gent, M. R. A. van. (1991). “Formulae to describe porous flow.”Communications on Hydr. and Geotech. Engrg., ISSN 0169-6548 No. 92-2, Delft Univ. of Technol. and MAST-G6S Rep., Project 1, Delft University of Technology, Delft, The Netherlands.
8.
George, G. H., and Hansen, D.(1992). “Conversion between quadratic and power law for non-Darcy flow.”J. Hydr. Engrg., ASCE, 118(5), 792–797.
9.
Hansen, D. (1992). “The behaviour of flowthrough rockfill dams,” PhD thesis, Dept. of Civ. Engrg., University of Ottawa, Ottawa, Ont., Canada.
10.
Hu, Q., and Li, B. (1988). “Studies on the simulation of overtopped rockfill dams.” Internal Rep., Nanjing Hydraulic Research Institute, May (in Chinese).
11.
Jaeger, C. (1956). Engineering Fluid Mechanics. Blackie and Son, Ltd., London, U.K.
12.
Leps, T. M. (1973). “Flow through rockfill.”Embankment Dam Engineering, R. C. Hirschfeld and S. J. Poulos, eds., John Wiley & Sons, Inc., New York, N.Y., 87–105.
13.
Martins, R.(1990). “Turbulent seepage flow through rockfill structures.”Water Power and Dam Construction, 40(3), 41–45.
14.
Martins, R. (1991). “Principles of rockfill hydraulics.”Advances in rockfill structures, E. M. das Neves, ed., Kluwer Academic Publishers Group, Boston, Mass., 523–570.
15.
McCorquodale, J. A., Hannoura, A. A., and Nasser, M. S.(1978). “Hydraulic conductivity of rockfill.”J. Hydr. Res., Delft, The Netherlands, 16(2), 123–137.
16.
Parkins, A. K. (1991). “Through and overflow rockfill dams.”Advances in rockfill structures, E. M. das Neves, ed., Kluwer Academic Publishers Group, Boston, Mass., 571–592.
17.
Slepicka, F. (1961). “The law of filtration and limits of their validity.”IAHR 9th Congr., Yugoslavian Assn. of Hydr. Res., Belgrade, Yugoslavia, 383–394.
18.
Stephenson, D. (1979). Rockfill in hydraulic engineering. Elsevier Science Publishers BV (North-Holland), Amsterdam, The Netherlands, 19–24.
19.
Taylor, D. W. (1948). Fundamentals of soil mechanics. John Wiley & Sons, Inc., New York, N.Y.
20.
Volker, R. E.(1969). “Nonlinear flow in porous media by finite elements.”J. Hydr. Div., ASCE, 95(6), 2093–2114.
21.
Ward, J. C.(1964). “Turbulent flow in porous media.”J. Hydr. Div., ASCE, 92(4), 1–12.
22.
Wilkins, J. K. (1956). “Flow of water through rockfill and its application to the design of dams.”Proc., 2nd Australia–New Zealand Conf. on Soil Mech. and Foundation Engrg., New Zealand Soc. of Soil Mech. and Found. Engrg., Auckland, New Zealand, 144–149.
Information & Authors
Information
Published In
Copyright
Copyright © 1998 American Society of Civil Engineers.
History
Published online: Feb 1, 1998
Published in print: Feb 1998
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.