Numerical Model for Sediment Transport over Nonplanar, Nonhomogeneous Surfaces
Publication: Journal of Hydrologic Engineering
Volume 9, Issue 1
Abstract
Sediment transport on surfaces with spatially variable microtopography, roughness, and infiltration was investigated using the diffusion wave equation. An implicit finite-difference scheme together with multivariate Newton’s method was employed to solve the equation numerically. The simulation results showed that microtopography and roughness were the dominant factors causing significant spatial variations in sediment concentration. If the spatially varying microtopography was replaced by an average constant slope, the result was an overestimation of the sediment load. On the other hand, when the spatially varying roughness was replaced by the average roughness and the spatially varying infiltration rate by the average infiltration rate, the sediment discharge was not significantly affected. The sedimentograph reached an equilibrium much sooner when a constant infiltration rate was substituted for the time-varying infiltration rate.
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References
Barfield, B. J., Barnhisel, R. I., Powell, J. L., Hirschi, M. C., and Moore, I. D. (1983). “Erodibilities and eroded size distribution of Western Kentucky mine spoil and reconstructed topsoil.” Final Rep., Institute for Mining and Minerals Research, Univ. of Kentucky, Lexington, Ky.
Foster, G. R. (1982). “Modeling the erosion process.” Hydrologic modeling of small watersheds, C. T. Haan, H. P. Johnson, and D. L. Brakensiek, eds., American Society of Agricultural Engineers, St. Joseph, Mich., 295–380.
Gessler, J. (1965). The beginning of bedload movement of mixtures investigated as natural armoring in channels, E. A. Prych, translator, W. M. Keck Laboratory of Hydraulics and Water Resources, California Institute of Technology, Pasadena, Calif.
Govindaraju, R. S., and Kavvas, M. L.(1991). “Modeling the erosion process over steep slopes: Approximate analytical solutions.” J. Hydrol., 127, 279–305.
Govindaraju, R. S., Kavvas, M. L., and Tayfur, G.(1992). “A simplified model for two dimensional overland flows.” Adv. Water Resour., 15, 133–141.
Kilinc, M., and Richardson, E. V. (1973). “Mechanics of soil erosion from overland flow generated by simulated rainfall.” Hydrology Papers, Paper 63, Colorado State Univ., Fort Collins, Colo.
Li, R. M. (1979). “Water and sediment routing from watersheds.” Modeling of rivers, H. W. Shen, ed., Wiley, New York, 9.1–9.88.
Mein, R. G., and Larson, C. L.(1973). “Modeling infiltration during a steady rain.” Water Resour. Res., 9(2), 384–394.
Morris, E. M.(1979). “The effect of small-slope approximation and lower boundary conditions on solutions of the St. Venant equations.” J. Hydrol., 40, 31–47.
Negev, N. (1967). “A sediment model on a digital computer.” Tech. Rep. No. 76, Stanford Univ., Stanford, Calif.
Rawls, W. J., Brakensiek, D. L., and Miller, N.(1983). “Green-Ampt infiltration parameters from soils data.” J. Hydraul. Eng., 109(1), 62–70.
Rowlinson, D. L., and Martin, G. L.(1971). “Rational model describing slope erosion.” J. of Irrig. and Drainage Div., 97(1), 39–50.
Sharma, P. P., Gupta, S. C., and Foster, G. R.(1993). “Predicting soil detachment by raindrops.” Soil Sci. Soc. Am. J., 57, 674–680.
Singh, V. P.(1983). “Analytical solutions of kinematic equations for erosion on a plane. 2: Rainfall of finite duration.” Adv. Water Resour., 6, 88–95.
Singh, V. P. (1996). Kinematic wave modeling in water resources: Surface water hydrology, Wiley, New York.
Singh, V. P. (1997). Kinematic wave modeling in water resources: Environmental hydrology, Wiley, New York.
Smith, R. E. (1976). “Simulation erosion dynamics with a deterministic distributed watershed model.” Proc., 3rd Federal Interagency Sedimentation Conf., Vol. 1., Water Resources Council, Washington, D.C., 163–173.
Tayfur, G. (1990). “Modeling of two dimensional overland flows.” MS thesis, Univ. of California, Davis, Calif.
Tayfur, G.(2001). “Modeling two-dimensional erosion process over infiltrating surfaces.” J. Hydrologic Eng., 6(3), 259–262.
Tayfur, G.(2002). “Applicability of sediment transport capacity models for nonsteady state erosion from steep slopes.” J. Hydrologic Eng., 7(3), 252–259.
Tayfur, G., and Kavvas, M. L.(1994). “Spatially averaged conservation equations for interacting rill-interrill area overland flows.” J. Hydraul. Eng., 120(12), 1426–1448.
Tayfur, G., Kavvas, M. L., Govindaraju, R. S., and Storm, D. E.(1993). “Applicability of St. Venant equations for two-dimensional overland flows over rough infiltrating surfaces.” J. Hydraul. Eng., 119(1), 51–63.
Woolhiser, D. A. (1974). “Unsteady free-surface flow problems.” Proc., Inst. on Unsteady Flow in Open Channels, Colorado State Univ., Fort Collins, Colo., 195–213.
Woolhiser, D. A., Smith, R. E., and Goodrich, D. C. (1990). “KINEROS, a kinematic runoff and erosion model: Documentation and user manual.” ASR-77, Agricultural Research Service, U.S. Dept. of Agriculture, Washington, D.C.
Zhang, W., and Cundy, T. W.(1989). “Modeling of two-dimensional overland flow.” Water Resour. Res., 25(9), 2019–2035.
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Information
Published In
Journal of Hydrologic Engineering
Volume 9 • Issue 1 • January 2004
Pages: 35 - 41
Copyright
Copyright © 2004 American Society of Civil Engineers.
History
Received: Jun 4, 2002
Accepted: Feb 24, 2003
Published online: Dec 15, 2003
Published in print: Jan 2004
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