Abstract
The goal of levee breaches is not only to establish hydraulic connection to the farm lands, but to provide a means of sediment accrual. However, litt le attention has been direct ted to the design and placement of such breaches from the perspective of sediment accrual. A two dimensional flow model in which fluid and suspended particles are tracked using statistical concepts was developed to design levee breaches on the lower Mokelumne River. The model was verified using the time concentration curves observed in the laboratory channels. The model has been run for a hypothetical sinuous channel, in which the radius of curvature and the breach width were varied. Various flow velocities and breach/channel area ratios were also tested. The results show that total concentration passing through a levee breach increases as the stream velocity increases, and decreases as the radius of curvature of channel increases. While larger breaches will allow more sediment to pass, a breach width of three times the channel width was the point at which increases became negligible. The proposed model was also applied to design levee breach es on the lower Mokelumne River, in which breach placem ent and breach widths were varied. The results on the lower Mokelumne River show that the largest total concentration passing through a levee breach is presented in the levee breach placed in 155.6meters downstream of the injection site in which breach width is three times of the channel width.
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References
Alonso, C.V. (1981). “Stochastic models of suspended-sediment dispersion.”Journal of Hyduaulics Division, ASME, Vol. 107, pp. 209–226.
Batchelor, G.K. (1957). “Diffusion in free turbulent shear flow.”Journal of Fluid Mechanics, Vol. 3, pp. 67–80.
Bennett, J. P. and Nordin, C. F. (1973).Suspended-sediment sampling variability. Water Resources Publiscations. Littleton, Colo.
Boogaard, H., Hoogkamer, M., and Heemink, A. (1993). “Parameter identification in particle models.”Stochastic Hydrology and Hydraulics, Vol. 7, pp. 109–130.
Chapra, S. (1997)Surface water quality modeling, New York, N.Y.
Chu, H. and Gardner, D.K. (1986). “2D PTM Estuarine Transport.”Water Resources Bulletin, Vol. 22, pp. 183–189.
Costa, M. and Ferreira, J.S. (2000). “Discrete particle distribution model for advection-diffusion transport.”Journal of Hydraulic Engineering, Vol. 126, pp. 525–533.
Denton, R.A. (1990). “Analytical asymptotic solutions for longitudinal dispersion with dead zones.”Journal of Hydraulic Research. Vol. 28, pp. 309–329.
Dimou, K. and Adams, E. (1993). “A random-walk particle tracking model for well-mixed estuaries and costal waters.”Estuarine, Coastal, and Shelf Science, Vol. 37, pp. 99–110.
Frenkiel, F. N. and Munn, R. E. (1974).Turbulent diffusion in environmental pollution, New York, N. Y.
Heemink, A. (1990). “Stochastic modeling of dispersion in shallow water.”Stochastic Hydrology and Hydraulics, Vol. 4, pp. 161–174.
Heslop, S. E. and Allen, C. M. (1993). “Modeling contaminant dispersion in the River Severn using a random-walk model.”J. Hydraul. Res. Vol. 31, pp. 323–331.
Karlin, S. and Taylor, H. M. (1975).A First Course in Stochastic Processes. Academic Press, New York.
Kennedy, D. A. (1965).Some measurements of the dispersion of spheres in a turbulent flow. John Hopkins University, Baltimore, Md.
Li, R.M. and Shen, H.W. (1975). “Solid particle settlement in open-channel flow.”Journal of Hydraulics Division, Vol. 101, pp. 917–931.
Nordin, C.F. and McQuivey, R.S. (1971).Suspended load. H.W. Shen, ed., Fort Collins, Colo.
Oliveira, A. and Baptista, A.M. (1995). “A comparison of integration and interpolation Eulerian-Lagrangian methods.”International Journal of Numerical Methods in Fluids. Vol. 21, pp. 183–204.
Peskin, R. L. (1971). “Stochastic estimation applications to turbulent diffusion.”International Symposium on Stochastic Hydraulics, University of Pittsburgh, Pittsburgh, PA.
Purnama, A. (1988). “The effect of dead zones on longitudinal disperson in streams.”J. Fluid Mech. Vol. 186, pp. 351–377.
Seo, I.W. and Maxwell W.H.C. (1992). “Modeling low-flow mixing through pools and riffles.”Journal of Hydraulic Engineering, Vol. 118, pp. 1406–1423.
Seo, I.W. and Baek, K.O. (2004). “Estimation of the Longitudinal Dispersion Coefficient Using the Velocity Profile in Natural Streams.”Journal of Hydraulic Engineering, Vol. 130, pp. 227–236.
Seo, I.W. and Cheong, T.S. (1998).”Predicting longitudinal dispersion coefficient in natural streams.”Journal of Hydraulic Engineering, Vol. 124, pp. 25–31.
Soo, S.L. and Ihrig, H.K., and El Kouh, A.L. (1960). “Experimental etemination of statistical properties of two-phase turbulent motion.”Journal of Basic Engineering, Vol. 82, pp. 609–621.
Taylor, G.I. (1954). “The dispersion of matter in turbulent flow through a pipe.”Proceedings of The Royal Society of London, Vol. 223, pp. 446–468.
Tchen, C.M. (1947).Mean value and correlation problems connected with the motion of small particles suspended in a turbulent fluid, Laboratory for Aero-and-Hydrodynamics, Technical University, Delft.
Yeh, G., Chang, J., and Short, T. (1992). “An exact peak capturing and oscillation-free scheme to solve advection-dispersion transport equations.”Water Environment Research, Vol. 28, pp. 2937–2951.
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Cheong, T.S. Design of levee breaches for maximizing the trapping of suspended sediment. KSCE J Civ Eng 11, 175–183 (2007). https://doi.org/10.1007/BF02823898
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DOI: https://doi.org/10.1007/BF02823898