Comparison of Linear and Nonlinear Models for Cohesive Sediment Detachment: Rill Erosion, Hole Erosion Test, and Streambank Erosion Studies
Publication: Journal of Hydraulic Engineering
Volume 142, Issue 9
Abstract
Cohesive sediment detachment is typically modeled for channels, levees, spillways, earthen dams, and internal erosion by using a linear excess shear stress approach. However, mechanistic nonlinear detachment models, such as the Wilson model, have recently been proposed in the literature. Questions exist as to the appropriateness of nonlinear relationships between applied shear stress and the erosion rate. Therefore, the objective of this research was to test the appropriateness of linear and nonlinear detachment models for cohesive sediment detachment using three data sets: (1) rill erodibility studies across a limited range of applied shear stress (0.9–21.4 Pa), (2) hole erosion tests (HETs) across a wide range of applied shear stress (12.6–62.0 Pa), and (3) streambank erodibility as quantified by jet erosion tests (JETs) for the linear excess shear stress equation and the nonlinear Wilson model across a small range of shear stress (1–4 Pa). The Wilson model was also incorporated into the bank stability and toe erosion model (BSTEM) as an option for simulating fluvial erosion and used to simulate bank retreat in the streambank erodibility study. The Wilson model was shown to be an appropriate particle detachment rate model from previously published data on rill erodibility, HETs, and JETs. Using a nonlinear detachment model also alleviated questions about the most appropriate solution technique for deriving erodibility parameters from JETs. In situ and laboratory tests sometimes use a limited range of applied shear stress, and therefore users of these measurement techniques should be aware of the potential nonlinear behavior of cohesive sediment detachment especially at higher shear stress. The results suggest advantages for the nonlinear Wilson detachment model and also identify the need for additional research to evaluate the various detachment models for laboratory HETs and in situ JETs across a wider range of soil types and additional reach-scale streambank erosion studies.
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Acknowledgments
The authors acknowledge the financial support of the Buchanan Family Trust through the Buchanan Endowed Chair and the Oklahoma Agricultural Experiment Station at Oklahoma State University. This project was also supported by Agriculture and Food Research Initiative Competitive Grant No. 2013-51130-21484 from the USDA National Institute of Food and Agriculture and through FY 2012 USEPA 319(h) Special Project #C9-00F56701.
References
Al-Madhhachi, A. T., Fox, G. A., and Hanson, G. J. (2014a). “Quantifying the erodibility of streambanks and hillslopes due to surface and subsurface forces.” Trans. ASABE, 57(4), 1057–1069.
Al-Madhhachi, A. T., Fox, G. A., Hanson, G. J., Tyagi, A. K., and Bulut, R. (2014b). “Mechanistic detachment rate model to predict soil erodibility due to fluvial and seepage forces.” J. Hydraul. Eng., 04014010.
Al-Madhhachi, A. T., Hanson, G. J., Fox, G. A., Tyagi, A. K., and Bulut, R. (2013). “Deriving parameters of a fundamental detachment model for cohesive soils from flume and jet erosion tests.” Trans. ASABE, 56(2), 489–504.
Blaisdell, F. W., Hebaus, G. G., and Anderson, C. L. (1981). “Ultimate dimensions of local scour.” J. Hydraul. Div., 107(3), 327–337.
Criswell, D. T., Al-Madhhachi, A. T., Fox, G. A., and Miller, R. B. (2016). “Deriving erodibility parameters of a mechanistic detachment model for gravels.” Trans. ASABE, 59(1), 145–151.
Daly, E. R., Fox, G. A., Al-Madhhachi, A. T., and Miller, R. B. (2013). “A scour depth approach for deriving erodibility parameters from jet erosion tests.” Trans. ASABE, 56(6), 1343–1351.
Daly, E. R., Fox, G. A., Enlow, H. K., Storm, D. E., and Hunt, S. (2015a). “Site-scale variability of streambank fluvial erodibility parameters as measured with a jet erosion test.” Hydrol. Process., 29(26), 5451–5464.
Daly, E. R., Miller, R. B., and Fox, G. A. (2015b). “Modeling streambank erosion and failure along protected and unprotected composite streambanks.” Adv. Water Resour., 81, 114–127.
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 and 88.”, USDA-ARS, West Lafayette, IN, 317.
Fox, G. A., Sabbagh, G. J., Chen, W., and Russell, M. H. (2006). “Uncalibrated modelling of conservative tracer and pesticide leaching to groundwater: Comparison of potential Tier II exposure assessment models.” Pest Manage. Sci., 62(6), 537–550.
Franti, T., Laflen, J., and Watson, D. (1999). “Predicting soil detachment from high-discharge concentrated flow.” Trans. ASAE, 42(2), 329–335.
Fredlund, D. G., and Rahardjo, H. (1993). Soil mechanics for unsaturated soils, Wiley, New York.
Fuchs, J. W., Fox, G. A., Storm, D. E., Penn, C. J., and Brown, G. O. (2009). “Subsurface transport of phosphorus in riparian floodplains: Influence of preferential flow paths.” J. Environ. Qual., 38(2), 473–484.
Ghebreiyessus, Y., Gantzer, C., Alberts, E., and Lentz, R. (1994). “Soil erosion by concentrated flow: Shear stress and bulk density.” Trans. ASAE, 37(6), 1791–1797.
Ghidey, F., and Alberts, E. (1997). “Plant root effects on soil erodibility, splash detachment, soil strength, and aggregate stability.” Trans. ASAE, 40(1), 129–135.
Hanson, G. J. (1990a). “Surface erodibility of earthen channels at high stresses: Developing an in situ testing device.” Trans. ASAE, 33(1), 132–137.
Hanson, G. J. (1990b). “Surface erodibility of earthen channels at high stresses: Open channel testing.” Trans. ASAE, 33(1), 127–131.
Hanson, G. J., and Cook, K. (1997). “Development of excess shear stress parameters for circular jet testing.” ASAE Annual Int. Meeting, ASAE, St. Joseph, MI.
Hanson, G. J., and Cook, K. (2004). “Apparatus, test procedures, and analytical methods to measure soil erodibility in situ.” Appl. Eng. Agric., 20(4), 455–462.
Hanson, G. J., and Simon, A. (2001). “Erodibility of cohesive streambeds in the loess area of the midwestern USA.” Hydrol. Process., 15(1), 23–38.
Heeren, D. M., Miller, R. B., Fox, G. A., Storm, D. E., Halihan, T., and Penn, C. J. (2010). “Preferential flow effects on subsurface contaminant transport in alluvial floodplains.” Trans. ASABE, 53(1), 127–136.
Hollick, M. (1976). “Towards a routine test for the assessment of the critical tractive forces of cohesive soils.” Trans. ASAE, 19(6), 1076–1081.
Knapen, A., Poesen, J., Govers, G., Gyssels, G., and Nachtergaele, J. (2007). “Resistance of soils to concentrated flow erosion: A review.” Earth Sci. Rev., 80(1–2), 75–109.
Knisel, W. G. (1980). “CREAMS, A field-scale model for chemicals, runoff, and erosion from agricultural management systems.”, USDA Agricultural Research Service, Washington, DC.
Lyle, W., and Smerdon, E. (1965). “Relation of compaction and other soil properties to erosion resistance of soils.” Trans. ASAE, 8(3), 419–422.
Midgley, T. L., Fox, G. A., and Heeren, D. M. (2012). “Evaluation of the bank stability and toe erosion model (BSTEM) for predicting lateral retreat on composite streambanks.” Geomorphology, 145, 107–114.
Millar, R. G., and Quick, M. C. (1993). “Effect of bank stability on geometry of gravel rivers.” J. Hydraul. Eng., 1343–1363.
Miller, R. B., et al. (2014). “Estimating sediment and phosphorus loads from streambanks with and without riparian protection.” Agric. Ecosyst. Environ., 189, 70–81.
Parker, D. B., Michel, T. G., and Smith, J. L. (1995). “Compaction and water velocity effects on soil erosion in shallow flow.” J. Irrig. Drain Eng., 170–178.
Partheniades, E. (1965). “Erosion and deposition of cohesive soils.” J. Hydraul. Div., 91(1), 105–139.
Prosser, I. P., Dietrich, W. E., and Stevenson, J. (1995). “Flow resistance and sediment transport by concentrated overland flow in a grassland valley.” Geomorphology, 13(1), 71–86.
Říha, J., and Jandora, J. (2015). “Pressure conditions in the hole erosion test.” Can. Geotech. J., 52(1), 114–119.
SigmaPlotv 12.5 [Computer software]. Systat Software, San Jose, CA.
Simon, A., Curini, A., Darby, S. E., and Langendoen, E. J. (2000). “Bank and near-bank processes in an incised channel.” Geomorphology, 35(3), 193–217.
Simon, A., Pollen-Bankhead, N., and Thomas, R. E. (2011). “Development and application of a deterministic bank stability and toe erosion model for stream restoration.” Stream restoration in dynamic fluvial systems: Scientific approaches, analyses, and tools, A. Simon, S. J. Bennett, and J. M. Castro, eds. Vol. 194, American Geophysical Union, Washington, DC, 453–474.
Simon, A., Thomas, R., and Klimetz, L. (2010). “Comparison and experiences with field techniques to measure critical shear stress and erodibility of cohesive deposits.” Proc., 2nd Joint Federal Interagency Conf., Dept. of the Interior, U.S. Geological Survey, Reston, VA.
Stein, O., and Nett, D. (1997). “Impinging jet calibration of excess shear sediment detachment parameters.” Trans. ASAE, 40(6), 1573–1580.
Sutarto, T., Papanicolaou, A. N., Wilson, C. G., and Langendoen, E. J. (2014). “Stability analysis of semicohesive streambanks with concepts: Coupling field and laboratory investigations to quantify the onset of fluvial erosion and mass failure.” J. Hydraul. Eng., 04014041.
Utley, B., and Wynn, T. M. (2008). “Cohesive soil erosion: Theory and practice.” Proc., World Environmental and Water Resources Congress, ASCE, Reston, VA.
van Klaveren, R., and McCool, D. (1998). “Erodibility and critical shear of a previously frozen soil.” Trans. ASAE, 41(5), 1315–1321.
van Liew, M., and Saxton, K. (1983). “Slope steepness and incorporated residue effects on rill erosion.” Trans. ASAE, 26(6), 1738–1743.
Wahl, T. L., Regazzoni, P. L., and Erdogan, Z. (2008). “Determining erosion indices of cohesive soils with the hole erosion test and jet erosion test.” U.S. Dept. of Interior, Bureau of Reclamation, Technical Service Center, Denver.
Wan, C. F., and Fell, R. (2004). “Laboratory tests on the rate of piping erosion of soils in embankment dams.” Geotech. Test. J., 27(3), 295–303.
Wilson, B. (1993a). “Development of a fundamentally based detachment model.” Trans. ASAE, 36(4), 1105–1114.
Wilson, B. (1993b). “Evaluation of a fundamentally based detachment model.” Trans. ASAE, 36(4), 1115–1122.
Zhu, J., Gantzer, C., Anderson, S., Peyton, R., and Alberts, E. (1995). “Simulated small-channel bed scour and head cut erosion rates compared.” Soil Sci Soc Am. J., 59(1), 211–218.
Zhu, J., Gantzer, C., Anderson, S., Peyton, R., and Alberts, E. (2001). “Comparison of concentrated-flow detachment equations for low shear stress.” Soil Tillage Res., 61(3), 203–212.
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Published In
Journal of Hydraulic Engineering
Volume 142 • Issue 9 • September 2016
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Jan 27, 2015
Accepted: Jan 21, 2016
Published online: May 9, 2016
Published in print: Sep 1, 2016
Discussion open until: Oct 9, 2016
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