Abstract
The rheological behaviors of highly concentrated fine particle suspensions (clay-silt-water mixtures) and coarse particle suspensions (coarse particles within a fine particle suspension) were investigated in this study. Experimental results demonstrated that the Bingham Fluid Model with two rheological parameters, Bingham yield stress and viscosity, well characterized the rheological behavior of fine particle suspensions at shear rates between 4 and 20 s−1. The inclusion of coarse particles within a fine particle suspension induced an enhancement to the rheological parameters. The rheological parameters of a coarse particle suspension not only depend on its total particle fraction but also on its relative fine/coarse particle fractions. Empirical equations of these two parameters were proposed, quantitatively related to both fine and coarse particle fractions. Results indicated that the Bingham yield stress and viscosity are much more (an order larger) sensitive to changes in fine particle fraction than to changes in coarse particle fraction.
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References
Ancey C, Jorrot H (2001) Yield stress for particle suspensions within a clay dispersion. J Rheol 45: 297–319. https://doi.org/10.1122/1.1343879
Arattano M, Grattoni P (2000) Using a fixed video camera to measure debris flow surface velocity. Second International Congress on Debris Flows Hazard Mitigation: mechanics, prediction and assessment. pp. 273–281. https://doi.org/10.1007/s11629-011-2083-x
Christensen R (1995) Analysis of variance, design and regression. New York: Chapman & Hall.
Coussot P (2007) Rheophysics of pastes: a review of microscopic modelling approaches. Soft Matter 3: 528–540. https://doi.org/10.1039/B611021P
Coussot P, Piau JM (1995) A large - scale field coaxial cylinder rheometer for the study of the rheology of natural coarse suspensions. J Rheol 39:105–124. https://doi.org/10.1122/1.550693
Coussot P, Laigle D, Arattano M, et al. (1998) Direct determination of rheological characteristics of debris flow. J Hydraul Eng 124: 865–868. https://doi.org/10.1061/(ASCE)0733-9429(1998)124:8(865)
Cui P, Hu K, Zhuang J, et al. (2011) Prediction of debris-flow area by combining hydrological and inundation simulation methods. J Mt Sci. 8: 1–9. https://doi.org/10.1007/s11629-011-2040-8
Iverson RM (1985) A constitutive equation for mass-movement behavior. J Geol 93: 143–160. https://doi.org/10.1086/628937
Jan CD (2000) Introduction of Debris Flow, Tech Book Co. Ltd., Taiwan. (In Chinese).
Jan CD, Chang YW, Kuo FH, Lo WC (2009) Effects of solid particles on the rheological parameters of Bingham fluid. J Chin Soil Water Conserv 40: 95–104. (In Chinese).
Jan CD and Shen HW (1997) Review dynamic modeling of debris flows. In: Armanini A, Michiue M (eds), Recent Developments on Debris Flows. Lecture Notes in Earth Sciences 64:93–116. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0117764
Jan CD, Yang CY, Hsu CK, Dey L (2019) Correlation between the slump parameters and rheological parameters of debris flow. The 7th International Conference on Debris-Flow Hazards Mitigation: Mechanics, Monitoring, Modeling, and Assessment, Association of Environmental and Engineering Geologists. pp 323–329. https://doi.org/10.25676/11124/173051
Jeong SW (2014) The effect of grain size on the viscosity and yield stress of fine-grained sediments. J Mt Sci. 11(1). https://doi.org/10.1007/s11629-013-2661-1
Li Y, Wang BL, Zhou XJ, Gou WC (2015) Variation in grain size distribution in debris flow. J Mt Sci 12(3). https://doi.org/10.1007/s11629-014-3351-3
Mahaut F, Chateau X, Coussot P, Ovarlez G (2008) Yield stress and elastic modulus of suspensions of noncolloidal particles in yield stress fluids. J Rheol 52(1): 287–313. https://doi.org/10.1122/1.2798234
Major JJ, Pierson TC (1992) Debris flow rheology: Experimental analysis of fine - grained slurries. Water Resour Res 28: 841–857. https://doi.org/10.1029/91WR02834
Mitschka P (1982) Simple conversion of Brookfield RVT readings into viscosity functions. Rheol Acta 21: 207–209. https://doi.org/10.1007/BF01736420
O’Brien JS, Julien PY (1988) Laboratory analysis of mudflow properties. J Hydraul Eng 114: 877–887. https://doi.org/10.1061/(ASCE)0733-9429(1988)114:8(877)
Romano FL, Ambrosano GMB, Magnani MBB de A, Nouer DF (2005) Analysis of the coefficient of variation in shear and tensile bond strength tests. J Appl Oral Sci 13:243–246. https://doi.org/10.1590/S1678-77572005000300008
Schatzmann M, Fischer P, Bezzola GR (2003) Rheological behavior of fine and large particle suspensions. J Hydraul Eng 129: 796–803. https://doi.org/10.1061/(ASCE)0733-9429(2003)129:10(796)
Schatzmann M, Bezzola G, Minor HE, et al. (2009) Rheometry for large-particulated fluids: analysis of the ball measuring system and comparison to debris flow rheometry. Rheol Acta 48: 715–733. https://doi.org/10.1007/s00397-009-0364-x
Shieh, CL, Jan, CD, Tsai, YF (1996) A numerical simulation of debris flow and its application. Nat Hazards 13: 39–54. https://doi.org/10.1007/BF00156505
Sosio R, Crosta GB (2009) Rheology of concentrated granular suspensions and possible implications for debris flow modeling. Water Resour Res 45(3): W03412. https://doi.org/10.1029/2008WR006920
Takahashi T (1993) Mechanism and existence criteria of various flow types during massive sediment transport, International Workshop on Fluvial Hydraulics of Mountain Regions, Kagoshima, Japan.
Takahashi T (2007) Debris flow: Mechanics, Prediction and Countermeasures. Taylor & Francis, London. https://doi.org/10.1201/9780203946282.
Wan Z, Qian Y, Yang W, Zhao W (1979) The experimental study on hyperconcentrated sediment flow. Yellow River 1: 5–6 (In Chinese).
Wang JS (2007) Effect of Sediment Composition on Debris Flow Rheological Parameters. PhD thesis, National Cheng Kung University, Taiwan (In Chinese).
Wu CS (2014) A Study on Flood-Induced Sediment Transport and Its Sluicing Methods in a Reservoir. PhD thesis, National Cheng Kung University, Taiwan. (In Chinese).
Acknowledgment
This work was financially supported by MOST 107-2221-E-006-029-MY3. We thank Dr. Ching-Hsien Wu for providing fine sediments used in the experiments, Mr. Le Trang Nguyen for his help in the rheometer tests, and Pierdomenico Del Gaudio and an anonymous reviewer for their helpful comments and suggestions.
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Dey, L., Jan, CD. & Wang, JS. Effects of particle fractions on the Bingham yield stress and viscosity of fine-coarse particle suspensions. J. Mt. Sci. 18, 2960–2970 (2021). https://doi.org/10.1007/s11629-021-6881-5
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DOI: https://doi.org/10.1007/s11629-021-6881-5