Effective Erosion Parameters for Slopes with Spatially Varying Properties
Publication: Journal of Irrigation and Drainage Engineering
Volume 124, Issue 2
Abstract
Overland flow erosion has a significant role in determining the drainage properties of a land surface. Most physically based models of soil erosion over hillslopes use a constant value of critical shear stress τcr and soil erodibility Ct. The amount of soil loss predicted from hillslopes is very sensitive to these parameters. However, point-scale (or local-scale) measurements of these quantities exhibit variability over hillslopes. This paper presents a method for upscaling these values based on the distributions of τcr and Ct. Examples are considered for transient, one-dimensional flow under single storm events to demonstrate the spatiotemporal variation of the field-scale values of τcr and Ct for some realistic cases. These examples reinforced the need to account for spatial variability of parameters to make realistic predictions of soil loss through erosion by overland flow. The influence of spatial trend in the mean behavior of the critical shear stresses and soil erodibilities also is shown to have a significant impact on soil erosion from a hillslope.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Dunne, T., Zhang, W., and Aubry, B. F.(1991). “Effects of rainfall, vegetation, and microtopography on infiltration and runoff.”Water Resour. Res., 27(9), 2271–2285.
2.
Elliot, W. J., Liebenow, A. M., Laflen, J. M., and Kohl, K. D. (1989). “A compendium of soil erodibility data from WEPP cropland soil field erodibility experiments 1987 & 88.”NSERLRep. No. 3, The Ohio State Univ. and USDA Agric. Res. Service.
3.
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.
4.
Foster, G. R., Lane, L. J., Nowlin, J. D., Laflen, J. M., and Young, R. A.(1981). “Estimating erosion and sediment yield on field sized areas.”Trans. ASAE, 24(5), 1253–1262.
5.
Foster, G. R., and Meyer, L. D. (1972). “A closed erosion equation for upland areas.”Sedimentation (Einstein), H. W. Shen, ed., Fort Collins, Colo., 12.1–12.9.
6.
Govindaraju, R. S., and Kavvas, M. L.(1991). “Modeling the erosion process over steep slopes: approximate analytical solutions.”J. Hydro., Amsterdam, The Netherlands, 127, 279–305.
7.
Govindaraju, R. S., and Kavvas, M. L.(1992). “Characterization of rill geometry over straight hillslopes through spatial scales.”J. Hydro., Amsterdam, The Netherlands, 130, 339–365.
8.
Govindaraju, R. S., Kavvas, M. L., and Jones, S. E.(1990). “Approximate analytical solutions for overland flows.”Water Resour. Res., 26(12), 2903–2912.
9.
Hawkins, R. H. (1982). “Interpretation of source-area variability in rainfall-runoff relationships.”Rainfall-Runoff Relationships, V. P. Singh, ed., Water Resources Publications, Fort Collins, Colo., 303–324.
10.
Kirkby, M. J. (1978). “Implications for sediment transport.”Hillslope hydrology, M. J. Kirkby, ed., John Wiley & Sons, Inc., New York, N.Y., 325–363.
11.
Lane, L. J., Chang, H. H., Graf, W. L., Grissinger, E. H., Osterkamp, W. R., Parker, G., and Trimble, S. W.(1982). “Relationships between small streams and sediment yield.”J. Hydr. Div., ASCE, 108, 1328–1365.
12.
Lane, L. J., Foster, G. R., and Nicks, A. D. (1987). “Use of fundamental erosion mechanics in erosion prediction.”ASAE Paper No. 87-2540, ASAE, St. Joseph, Mich.
13.
Nearing, M. A.(1991). “A probabilistic model of soil detachment by shallow turbulent flow.”Trans. ASAE, 34(1), 81–85.
14.
Nearing, M. A., Page, D. I., Simanton, J. R., and Lane, L. J.(1989). “Determining erodibility parameters for rangeland field data for a process-based erosion model.”Trans. ASAE, 32(3), 919–924.
15.
Rose, C. W.(1985). “Developments in erosion and deposition models.”Adv. Soil. Sci., 2, 1–63.
16.
Rose, C. W., Williams, J. R., Sander, G. C., and Barry, D. A.(1983). “A mathematical model of soil erosion and deposition processes: I. Theory for a plane land element.”Soil Sci. Soc. Am. J., 47, 991–995.
17.
Woolhiser, D. A., Smith, R. E., and Goodrich, D. C. (1990). KINEROS, a kinematic runoff and erosion model: documentation and user manual. U.S. Department of Agriculture, Agricultural and Research Service, ARS-77.
Information & Authors
Information
Published In
Copyright
Copyright © 1998 American Society of Civil Engineers.
History
Published online: Mar 1, 1998
Published in print: Mar 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.