Plot Erosion Model Using Gray Relational Analysis Method
Publication: Journal of Hydrologic Engineering
Volume 10, Issue 4
Abstract
The main factors affecting interrill erosion—including runoff discharge, rainfall intensity, mean flow velocity, and slope gradient—were analyzed by using a gray relational analysis. An equation for interrill erosion was derived by coupling this analysis with dimensional and regression analyses. The values of erosion rates predicted by this equation were in good agreement with experimental observations.
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Acknowledgment
This research was financially supported by the Key Projects of the Chinese Natural Science Foundation (No. 10332050 and No. 19832060).
References
Agassi, M., and Bradford, J. M. (1995). “Methodologies for interrill soil erosion studies.” Soil and Tillage Research, 49, 277–287.
Bradford, J. M., and Foster, G. R. (1996). “Interrill soil and slope steepness factors.” Soil Sci. Soc. Am. J., 60, 909–915.
Bulygin, S. Y. (2001). “Challenges and approaches for WEPP interrill erodibility measurements in the Ukraine.” Proc., Soil Erosion for the 21st Century Int. Symp. Honolulu, Hawaii, ASAE, St. Joseph, Mich., 506–509.
Deng, J. L. (1982). “The control problems of Grey system.” Syst. Control Lett., 5, 288–294.
Fan, L. Y. (1986). “Analyzing on the benefit of soil and water conservation by using grey system theory.” Soil and Water Conservation Bulletin, 2, 89–92.
Fan, R. S., and Li, Z. B. (1993). “Model of raindrop splash erosion and sediment transport in hillslopes.” J. Hydraul. Eng., 6, 24–29 (in Chinese).
Flanagan, D. C., and Nearing, M. A. (2000). “Sediment particle sorting on hillslope profiles in the WEPP model.” Trans. ASAE, 43, 573–583.
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, 1253–1262.
Foster, G. R., and Meyer, L. D. (1972). “A closed-form soil erosion equation for upland areas.” Sedimentation Symp. to Honor Professor H. A. Einstein, H. W. Shen, ed., Colorado State Univ., Fort Collins, Colo., 12.1–12.19.
Fu, L. (1992). Grey system theory and application, Science and Technology Press, Beijing (in Chinese).
Govers, G. (1987). “Initiation of motion in overland flow.” Sedimentology, 34, 1157–1164.
Grosh, J. L., and Jarrett, A. R. (1994). “Interrill erosion and runoff on various steep slopes.” Trans. ASAE, 37(4), 1127–1133.
Horton, R. E. (1945). “Erosional development of streams and their drainage basins: Hydrological approach to quantitative morphology.” Bull. Gel. Soc. Am., 56(3), 275–370.
Liebenow, A. M., Elliot, W. J., Laflen, J. M., and Kohl, K. D. (1990). “Interrill erodibility: Collection and analysis of data from cropland soils.” Trans. ASAE, 33, 1882–1888.
Liu, Q. Q., and Singh, V. P. (2004). “Effect of microtopography, slope length and gradient and vegetative cover on overland flow through simulation.” J. Hydrologic Eng., 9(5), 375–382.
Low, H. S. (1989). “Effect of sediment density on bed load transport.” J. Hydraul. Eng., 115(1), 124–138.
Luo, Q. C., and Xu, G. X. (1989). Grey relational analysis and application, Jiangsu Science and Technology Press, Nanjing, China (in Chinese).
Parsons, A. J., and Abrahams, A. D. (1992). “Field investigations of sediment removal in interrill overland flow.” Overland flow, A. J. Parsons and A. D. Abrahams, eds., UCL Press, 307–334.
Rowlison, D. L., and Martin, G. L. (1971). “Rational model describing slope erosion.” J. Irrig. and Drain. Div., 97(1), 39–50.
Sharma, P. P., Gupta, S. C., and Foster, G. R. (1995). “Raindrop-induced soil detachment and sediment transport from interrill areas.” Soil Sci. Soc. Am. J., 59, 727–734.
Tang, L. Q., and Chen, G. Q. (1994). “The formula of soil erosion in the slope and its application in the calculation of watershed sediment yield.” Adv. Water Sci., 5(2), 104–110 (in Chinese).
Xu, W. Q., Ni, J. R., Xu, H. P., and Jin, D. S. (1995). “Experimental study on the soil erosion process in the loess slopes.” J. Soil Erosion Soil Water Conserv., 9(3), 9–18 (in Chinese).
Yi, D. S., and Guo, P. (1992). Grey theory and method: abstract, subject, technique and application. Oil Industry Press, Beijing (in Chinese).
Zhang, X. C., Nearing, M. A., Miller, W. P., Norton, L. D., and West, L. T. (1998). “Modeling interrill sediment delivery.” Soil Sci. Soc. Am. J., 62(2), 438–444.
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© 2005 ASCE.
History
Received: Jul 11, 2003
Accepted: Oct 16, 2004
Published online: Jul 1, 2005
Published in print: Jul 2005
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