TECHNICAL PAPERS
Jan 1, 1993

Criterion Delineating the Mode of Headcut Migration

Publication: Journal of Hydraulic Engineering
Volume 119, Issue 1

Abstract

Two modes of headcut migration are generally recognized: (1) Rotating headcuts that tend to flatten as they migrate; and (2) stepped headcuts that tend to retain nearly vertical faces. A mathematical description of the sediment detachment potential immediately upstream and downstream of the headcut is used to delineate these modes of migration. The delineating parameter is the ratio of the time required to erode the headcut face from above to the time required to undermine the headcut face from below. This erosional time‐scale ratio is a dimensionless function of flow, sediment, and geometry parameters. For the limiting case of homogeneous cohesive soils, the time‐scale ratio is a simple function of a Froude number and the aspect ratio of drop height to normal flow depth. This relationship is calibrated using original laboratory experiments of headcut migration in initially vertical headcuts and verified by independent field experiments of headcuts propagating in four different homogeneous cohesive soils.

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References

1.
Beltaos, S. (1974). “Turbulent impinging jets,” PhD dissertation, University of Alberta, Edmonton, Alberta, Canada.
2.
Beltaos, S. (1976). “Oblique impingement of plane turbulent jets.” J. Hydr. Div., ASCE, 102(9), 1177–1192.
3.
Beltaos, S., and Rajaratnam, N. (1973). “Plane turbulent impinging jets.” J. Hydr. Res., 11(1), 29–59.
4.
Blaisdell, F. W., Anderson, C. L., and Hebaus, G. G. (1981). “Ultimate dimensions of local scour.” J. Hydr. Div., ASCE, 107(3), 327–337.
5.
Blaisdell, F. W., and Anderson, C. L. (1988a). “A comprehensive generalized study of scour at cantilevered pipe outlets pt. 1.” J. Hydr. Res., 26(4), 357–376.
6.
Blaisdell, F. W., and Anderson, C. L. (1988b). “A comprehensive generalized study of scour at cantilevered pipe outlets pt. 2.” J. Hydr. Res., 26(5), 509–524.
7.
Blong, R. J. (1970). “The development of discontinuous gullies in a pumice catchment.” Am. J. Sci., 268(4), 369–383.
8.
Blong, R. J. (1985). “Gully sidewall development in New South Wales Australia.” Soil erosion and conservation, S. A. El‐Swaify, W. C. Moldenhauer, and A. Lo, eds., Soil Conservation Soc. Am., Ankeny, Iowa, 574–584.
9.
Bormann, N. E., and Julien, P. Y. (1991). “Scour downstream of grade control structures.” J. Hydr. Engrg., ASCE, 117(5), 579–584.
10.
Brush, L. M. Jr., and Wolman, M. G. (1960). “Knickpoint behavior in noncohesive material: a laboratory study.” Geol. Soc. Am. Bull., 71(1), 59–73.
11.
Chee, S. P., and Kung, T. (1971). “Stable profiles of plunge basins.” Water Res. Bull. 7(2), 303–308.
12.
Daniels, R. B., and Jordan, R. H. (1966). “Physiographic history and the soils, entrenched stream of systems and gullies Harrison County Iowa.” USDA Tech. Bull. 1348, U.S. Dept. of Agric., Washington, D.C.
13.
Delleur, J. W., Dooge, J. C. I., and Gent, K. W. (1956). “Influence of slope roughness on the free overfall.” J. Hydr. Div., ASCE, 82(4), 1038‐30–1038‐35.
14.
Egboka, B. C. E., and Okpoko, E. I. (1984). “Gully erosion in the Agula‐Nanka region of Anambra State, Nigeria.” Challenges in African hydrology and water resources, Pub. No. 144, Int. Assoc. Hydro. Sci., Delft, The Netherlands, 335–347.
15.
Elliot, W. J., Liebenow, A. N., Laflen, J. M., and Kohl, K. D. (1989). “A compendium of soil erodibility data from WEPP cropland soil field erodibility experiments 1987 and 1988.” USDA‐ARS National Soil Erosion Research Lab. Rept. No. 3, Purdue Univ., West Lafayette, Ind.
16.
Foster, G. R., and Meyer, L. D. (1975). “Mathematical simulation of upland erosion using fundamental erosion mechanics.” Present and Prospective Technol. for Predicting Sediment Yields and Sources (Proc., 1972 Sediment Yield Workshop USDA‐ARS, ARS‐S40), U.S. Dept. of Agriculture Sedimentation Lab, Oxford, Miss. 190–207.
17.
Gardner, T. W. (1983). “Experimental study of knickpoint and longitudinal profile evolution in cohesive, homogeneous material.” Geol. Soc. Am. Bull., 94(5), 664–672.
18.
Hager, W. H. (1983). “Hydraulics of plane free overfall.” J. Hydr. Engrg., ASCE, 109(12), 1683–1697.
19.
Hager, W. H. (1984). Errata to “Hydraulics of Plane Free Overfall.” J. Hydr. Engrg., ASCE, 110(12), 1687–1688.
20.
Hager, W. H., and Hutter, K. (1984). “Approximate treatment of plane channel flow.” Acta Mechanica, 51(1–2), 31–48.
21.
Holland, W. N., and Pickup, G. (1976). “Flume study of knickpoint development in stratified sediment.” Geol. Soc. Am. Bull., 87(1), 76–82.
22.
Julien, P. Y., and Simons, D. B. (1985). “Sediment transport capacity of overland flow.” Trans., American Society of Agricultural Engineers, 28(3), 755–762.
23.
Kobus, H., Liester, P., and Westlich, B. (1979) “Flow field and scouring effects of steady and pulsating jets impinging on a moveable bed.” J. Hydr. Res., 17(3), 175–192.
24.
Kohl, K. D. (1988). “Mechanics of rill headcutting,” PhD dissertation, Iowa State University, Ames, Iowa.
25.
Leopold, L. D., Wolman, M. G., and Miller, J. P. (1964). Fluvial processes in geomorphology. W. H. Freeman and Co., San Francisco, Calif.
26.
Nearing, M. A., Foster, G. R., Lane, L. J., and Finkner, S. C. (1989). “A processed‐based soil erosion model for USDA water erosion prediction project technology.” Trans., American Society of Agricultural Engineers, 32(5), 1587–1593.
27.
Patton, P. C., and Schumm, S. A. (1975). “Gully erosion, northwestern Colorado: A threshold phenomenon.” Geology, 3(2), 88–90.
28.
Piest, R. F., Bradford, J. M., and Wyatt, G. M. (1975). “Soil erosion and sediment transport from gullies.” J. Hydr. Div., ASCE, 101(1), 65–80.
29.
Rajaratnam, N. (1981). “Erosion by plane turbulent jets.” J. Hydr. Res., 19(4), 339–359.
30.
Rajaratnam, N., and Muralidhar, D. (1968). “Characteristics of the rectangular free overfall.” J. Hydr. Res., 6(3), 233–258.
31.
Rouse, H. (1936). “Discharge characteristics of the free overfall.” Civ. Engrg., ASCE, 6(4), 257–260.
32.
Rouse, H. (1937). “Pressure distribution and acceleration at the free overfall.” Civ. Engrg., ASCE, 7(7), 518.
33.
Stein, O. R. (1990). “Mechanics of headcut migration in rills,” PHD dissertation. Colorado State University, Fort Collins, Colo.

Information & Authors

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Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 119Issue 1January 1993
Pages: 37 - 50

History

Received: Aug 20, 1992
Published online: Jan 1, 1993
Published in print: Jan 1993

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Authors

Affiliations

O. R. Stein, Associate Member, ASCE
Asst. Prof., Dept. of Civ. and Agric. Engrg., Montana State Univ., Bozeman, MT 59717
P. Y. Julien, Member, ASCE
Assoc. Prof., Dept. of Civ. Engrg., Colorado State Univ., Fort Collins, CO 80523

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