Numerical Evaluation of the Role of Runon on Sediment Transport over Heterogeneous Hillslopes
Publication: Journal of Hydrologic Engineering
Volume 13, Issue 4
Abstract
During rainfall events, the runon process allows water from upstream saturated areas to infiltrate into downstream regions where moisture deficit has not been satisfied. To date, several studies have clarified the role of the runon process in describing field-scale infiltration and surface runoff behavior. This study focuses on the role of the runon process in estimating field-scale sediment discharge over hillslopes with spatially-varying infiltration properties. This was accomplished by performing Monte Carlo realizations of saturated conductivity fields with varying properties to reflect different soil conditions. Numerical solutions were sought for flow and sediment transport processes over each realization, and field-scale ensemble averages and variances of sediment discharge hydrographs were obtained both with and without representation of runon in the models. Examination of results indicates that neglecting runon can cause serious discrepancies in estimation of field-scale sediment discharges. Using model differences, the cases when runon is important were identified, and the role of rainfall intensity, duration, slope, and soil type are discussed in this paper. It is observed that only when the rainfall intensity is much larger than the mean conductivity and when variance of the conductivity is very low that runon can be ignored for sediment discharge computations.
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References
Borah, D. K. (1979). “The dynamic simulation of water and sediment in watersheds.” Ph.D. thesis, Univ. of Mississippi, University, Miss.
Chen, H. (1992). “Effects of rainfall characteristics and runoff from upslope on erosion and yield sediment.” Chinese J. Soil Water Conserv., 6(2), 17–23 (in Chinese).
Cook, H. L. (1936). “The nature and controlling variables of the water erosion process.” Soil Sci. Soc. Am. Proc., 1, 487–494.
Corradini, C., Morbidelli, R., and Melone, F. (1998). “On the interaction between infiltration and Hortonian runoff.” J. Hydrol., 204, 52–67.
Crawford, N. H., and Linsley, R. K. (1962). “The synthesis of continuous streamflow hydrographs on a digital computer.” Tech. Rep. No. 12, Dept. of Civil Engineering, Stanford Univ., Stanford, Calif.
Dagan, G., and Bresler, E. (1983). “Unsaturated flow in spatially variable fields. I: Derivation of models of infiltration and redistribution.” Water Resour. Res., 19(2), 413–420.
Ellison, W. D. (1947). “Soil erosion studies—Part I.” Agric. Eng., 28, 145–146.
Ellison, W. D., and Ellison, O. T. (1947a). “Soil erosion studies—Part VI: Soil detachment by surface flow.” Agric. Eng., 28, 402–408.
Ellison, W. D., and Ellison, O. T. (1947b). “Soil erosion studies—Part VII: Soil transportation by surface flow.” Agric. Eng., 28, 442–444.
Foster, G. R. (1982). “Modeling the erosion process.” Hydrologic modeling of small watersheds, ASAE Monograph No. 5, C. T. Haan, H. P. Johnson, and D. L. Brakensiek, eds., American Society of Agricultural Engineers, St. Joseph, Mich., 295–380.
Foster, G. R., and Lane, L. J. (1987). “User requirements, USDA-water erosion prediction project (WEPP).” NSERL Rep. No. 1, National Soil Erosion Research Laboratory, West Lafayette, Ind.
Foster, G. R., and Meyer, L. D. (1972). “A closed-form soil erosion equation for upland areas.” Sedimentation, H. W. Shen, ed., Colorado State Univ., Ft. Collins, Colo., 12-1–12-19.
Foster, G. R., Meyer, L. D., and Onstad, C. A. (1977). “An erosion equation derived from basic erosion principles.” Trans. ASAE, 20(4), 678–682.
Govindaraju, R. S. (1998). “Effective erosion parameters for slopes with spatially variable properties.” J. Irrig. Drain. Eng., 124(2), 81–88.
Govindaraju, R. S., Corradini, C., Morbidelli, R., and Nahar, N. (2007). “Infiltration and run-on under spatially variable hydrologic properties.” The handbook of groundwater engineering, J. W. Delleur, ed., CRC, Boca Raton, Fla., 8.1–8.16.
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., Koelliker, J. K., Banks, M. K., and Schwab, A. P. (1996). “Comparison of spatial variability of infiltration properties at two sites in the Konza Prairie,” J. Hydrol. Eng., 1(3), 131–138.
Hjelmfelt, A. T., Jr. (1976). “Modeling of soil movement across a watershed.” Completion Rep. Project No. A-076-MO, Missouri Water Resources Center, Univ. of Missouri, Rolla, Mo.
Hjelmfelt, A. T., Piest, R. F., and Saxton, K. E. (1975). “Mathematical modeling of erosion on upland areas.” Proc., 16th Congress, Int. Assoc. for Hydraulic Res., Sao Paulo, Brazil, Vol. 2, 40–47.
Huang, C. (1998). “Sediment regimes under different slope and hydrologic conditions.” Soil Sci. Soc. Am. J., 62, 423–430.
Huang, C., and Laflen, J. M. (1996). “Seepage and soil erosion for a clay loam soil.” Soil Sci. Soc. Am. J., 60, 408–416.
Huang, C., Wells, L. K., and Norton, L. D. (1999). “Sediment transport capacity and erosion processes: Model concepts and reality.” Earth Surf. Processes Landforms, 24, 503–516.
James, L. D., and Burges, S. J. (1982). “Selection calibration and testing of hydrologic models.” Hydrologic modeling of small watersheds, C. T. Haan, H. P. Johnson, and D. L. Brakensiek, eds., American Society of Agricultural Engineers, St. Joseph, Mich., 437–472.
Kalin, L., Govindaraju, R. S., and Hantush, M. M. (2004a). “Development of a methodology for sediment source identification. I: A modified unit sedimentograph approach.” J. Hydrol. Eng., 9(3), 184–193.
Kalin, L., Govindaraju, R. S., and Hantush, M. M. (2004b). “Development of a methodology for sediment source identification. II: Optimization approach.” J. Hydrol. Eng., 9(3), 194–207.
Kirkby, M. J. (1978). “Implications for sediment transport.” Hillslope hydrology, M. J. Kirkby, ed., Wiley, New York, 325–363.
Lane, L. J., and Shirley, E. D. (1982). “Modeling erosion in overland flow.” Estimating Erosion and Sediment Rangelands, Proc., Workshop, Tucson, Ariz., March 7–9, 1981, U.S. Dept. of Agriculture, Agricultural Research Service, Agricultural Reviews and Manuals, ARM-W-26, 120–128.
Meyer, L. D., Foster, G. R., and Romkens, M. J. M. (1975). “Sources of soil eroded by water from upland slopes.” Present and prospective technology for reducing sediment yields and sources, ARS-S-40, USDA-ARS Southern Region, New Orleans, 177–189.
Meyer, L. D., and Wischmeier, W. H. (1969). “Mathematical simulation of the process of soil erosion by water.” Trans. ASAE, 12, 754–758.
Nahar, N. (2003). “Influence of the runon process on water and solute movement over heterogeneous hillslopes.” Ph.D. thesis, School of Civil Engineering, Purdue Univ.
Nahar, N., Govindaraju, R. S., Corradini, C., and Morbidelli, R. (2003). “Role of run-on for describing field-scale infiltration and overland flow over spatially variable soils.” J. Hydrol., 286, 36–51.
Nash, J. E., and Sutcliffe, J. V. (1970). “River flow forecasting through conceptual models. I: A discussion of principles.” J. Hydrol., 10, 282–290.
Nearing, M. A., Foster, G. R., Lane, L. J., and Finkner, S. C. (1989). “A process-based soil erosion model for USDA-water erosion prediction project technology.” Trans. ASAE, 32, 1587–1593.
Negev, M. (1967). “A sediment model on a digital computer.” Tech. Rep. No. 76, Dept. of Civil Engineering, Stanford Univ., Stanford, Calif.
Nielsen., D. R., Biggar, J. W., and Erh, K. T. (1973). “Spatial variability of field measured soil-water properties.” Hilgardia, 42, 215–259.
Rendon-Herrero, O. (1978). “Unit sediment graph.” Water Resour. Res., 14(5), 889–901.
Rose, C. W. (1985). “Development in erosion and deposition models.” Adv. Soil. Sci., 2, 1–63.
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.
Russo, D., and Bresler, E. (1982). “A univariate versus a multivariate parameter distribution in a stochastic-conceptual analysis of unsaturated flow.” Water Resour. Res., 18(3), 483–488.
Saghafian, B., and Julien, P. Y. (1995). “Similarity in catchment response. I: Stationary rainstorms.” Water Resour. Res., 31(6), 1533–1541.
Shirley, E. D., and Lane, L. J. (1978). “A sediment yield equation from an erosion simulation model.” Hydrology and water resources in Arizona and the southwest, Vol. 8, Univ. of Arizona, Tucson, Ariz., 90–96.
Singh, V. P. (1983a). “Analytical solutions of kinematic equations for erosion on a plane. II: Rainfall of finite duration.” Adv. Water Resour., 6, 88–95.
Singh, V. P. (1983b). “A mathematical study of erosion from upland areas.” Technical Rep. WRRI, Dept. of Civil Engineering, Louisiana State Univ., Baton Rouge, La.
Singh, V. P. (1997). Kinematic wave modeling in water resources: Environmental hydrology, Wiley, New York.
Singh, V. P., and Prasad, S. N. (1982). “Explicit solutions to kinematic equations for erosion on an infiltrating plane.” Modeling components on hydrologic cycle, V. P. Singh, ed., Water Resour. Publication, Littleton, Colo., 515–538.
Smith, R. E., and Hebbert, R. H. B. (1979). “A Monte Carlo analysis of the hydrologic effects of spatial variability of infiltration.” Water Resour. Res., 15(2), 419–429.
Wischmeier, W. H., and Smith, D. C. (1978). “Predicting rainfall erosion losses—A guide to conservation planning.” Agricultural Handbook No. 537, USDA, Washington, D.C.
Woolhiser, D. A., Smith, R. E., and Giraldez, J. V. (1996). “Effects of spatial variability of saturated hydraulic conductivity on Hortonian overland flow.” Water Resour. Res., 32(3), 671–678.
Zheng, F. (1997). “Relationship of soil erosion, water transformation and soil degradation processes on different erosion zones at the Loess Plateau of China.” Ph.D. thesis, Institute of Soil and Water Conservation, Yangling, Shanxi, China.
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Information
Published In
Journal of Hydrologic Engineering
Volume 13 • Issue 4 • April 2008
Pages: 215 - 225
Copyright
© 2008 ASCE.
History
Received: Jan 24, 2007
Accepted: Jul 31, 2007
Published online: Apr 1, 2008
Published in print: Apr 2008
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