Modeling Multiphase Debris Floods Down Straight and Meandering Channels

Document Type : Regular Article

Authors

1 Department of Mathematics, Tri-Chandra Multiple Campus, Tribhuvan University, Kathmandu, Nepal

2 Central Department of Mathematics, Tribhuvan University, Kathmandu, Nepal

3 Department of Mathematics, Patan Multiple Campus, Tribhuvan University, Lalitpur, Nepal

Abstract

Natural debris floods travel in straight and meandering courses. The flow behaviour greatly depends on the volume fractions of solid and fluid, as well as on their dynamic interactions with the channel geometry. For the quasi three-dimensional simulations of flow dynamics and mass transport of these floods through meandering and straight channels, we employ a two-phase debris flow model to carry out simulations for debris floods within straight and sine-generated meandering channels of different amplitudes. The results for different sinuous meandering paths are compared with that in the straight one in terms of phase velocity, downslope advection and dispersion, depths of the maxima, deposition of mass, position of front and rear parts of the solid and fluid phases, and also the flow dynamics out of the conduits. The results reveal the slowing of the flow and increase of momentary deposition of the mixture mass in the vicinity of the bends along with the increasing sinuosity. The numerical experiments are useful to better understand the dynamics of debris floods down meandering channels as seen in the natural paths of the rivers as well as already existing channels like episodic rivers in hilly regions. The results can be extended to propose some appropriate mitigation strategies.

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Main Subjects

References

Bagnold, R. A. (1954). Experiments on a gravity-free dispersion of large solid spheres in a Newtonian fluid under shear. Proceeding of the Royal Society A, 225, 49–63. https://doi.org/10.1098/rspa.1954.0186.
Bogoni, M., Putti, M., & Lanzoni, M. (2017). Modeling meander morphodynamics over self-formed heterogeneous floodplains. Water, 53(6), 5137-5157. https://doi.org/ 10.1002/2017WR020726.
Camporeale, C., Perona, P., Porporato, A., & Ridolfi, L.  (2002). On the long-term behavior of meandering rivers. Water Resources Research, 41(12). https://doi.org/10.1029/2005WR004109.
Cassar, C., Nicolas, M., & Pouliquen, O. (2005). Submarine granular flows down inclined planes. Physics of Fluids, 17, 103301. https://doi.org/ 10.1063/1.2069864.
Chen, C. L. (1988). Generalized viscoplastic modelling of debris flows. Hydraulic Engineering, 114(3), 237–258. https://doi.org/10.1061/(ASCE)07339429(1988)114:3(237).
Coussot, P., & Ancey, C.  (1999). Rheophysical classification of concentrated suspensions and granular pastes. Physical Review E, 59(4), 4445–4457. https://doi.org/10.1103/PhysRevE.59.4445
Coussot, P., & Meunier, M. (1996). Recognition, classification and mechanical description of debris flows. Earth-Science Reviews, 40(3-4), 209–227. https://doi.org/10.1016/00128252(95)00065-8.
Coz, J. L., Michalkova, M. S., Hauet, A., Comaj, M., Dramais, G., Holubova, K., Piegay, H., & Paquier, A. (2010). Morphodynamics of the exit of a cutoff meander: Experimental findings from field and laboratory studies. Earth Surface Processes and Landforms, 35(3), 249–261. https://doi.org/ 10.1002/esp.1896.
Crosato, A. (2008). Analysis and modelling of river meandering. [PhD thesis, Delf University of Technology], Delf, Netherland.
Darby, S. E., Alabyan, A. M., & Wiel, M. J. V. D. (2002). Numerical simulation of bank erosion and channel migration in meandering rivers. Water Resources Research, 38(9), 1163–1174. https://doi.org/10.1029/2001WR000602.
Delannay, R., Valance, A., Mangeney, A., Roche, O., & Richard, P., (2017). Granular and particle-laden flows: from laboratory experiments to field observations. Journal of Physics D: Applied Physics, 50(5). https://doi.org/10.1088/13616463/50/5/05 3001.
Dente, E., Lensky, N., Morin, E., & Enzel, Y. (2021). From straight to deeply incised meandering channels: Slope impact on sinuosity of confined streams. Earth Surface Processes and Landform, 46(563), 1041-1055. https://doi.org/10.1002/esp.5085.
Duan, J. G., & Julien, P. Y. (2005). Numerical simulation of meandering evolution. Journal of Hydrology, 391(1-2), 34-46. https://doi.org/10.1016/j.jhydrol.2010.07.005.
Duan, J. G. (2004). Simulation of flow and mass dispersion in meandering channels. Hydraulic Engineering, 130(10), 964–976. https://doi.org/10.1061/(ASCE)0733-9429(2004)130:10(964).
Friedkin, J. F. (1945). A laboratory study of the meandering of alluvial rivers. Engineers Waterways Experiment Stations.
Gu, L., Zhang, S., He, L., Chen, D. Blanckaert, K., Ottevanger, W., & Zhang, Y. (2016). Modeling flow pattern and evolution of meandering channels with a nonlinear model. Water, 8(10). https://doi.org/10.3390/w8100418.
Hagerman, J. R., & Williams J. D. (2000). Meander shape and the designs of stable meanders. Agricultural Research Service.
Hu, P., & Yu, M. (2023). Experimental study of secondary flow in narrow and sharp open channels bends. Journal of Applied fluid Mechanics, 16(9). https://doi.org/10.47176/JAFM.16.09.1672
Ikeda, S., & Nishimura, T. (1986). Flow and bed profile in meandering sand-silt rivers. Hydraulic Engineering, 112(7), 562–579. https://doi.org/10.1061/(ASCE)07339429(1986)112:7(562).
Iverson, R. M. (1997). The physics of debris flows. Reviews of Geophysics, 35(3), 245–296. https://doi.org/10.1029/97RG00426.
Iverson, R. M. (2003). The debris-flow rheology myth. Presented at the 3rd International Conference on Debris-Flow Hazards Mitigation: Mechanics, Prediction, and Assessment.
Iverson, R. M., & George, D. L. (2014). A depth-averaged debris-flow model that includes the effects of evolving dilatancy. I. Physical basis. Proceeding of Royal Society A, 470, 20130819. https://doi.org/10.1098/rspa.2013.0819.
Kafle, J., Acharya, G., Kattel, P., & Pokhrel P. R. (2022). Impact of variation of size of the initial release mass in the dynamics of landslide generated tsunami. International Journal of Modeling, Simulation, and Scientific Computing, 13(5), 217–225. https://doi.org/10.1142/S1793962322500556.
Kafle, J., Dangol, B. R., Tiwari, C. N., & Kattel, P. (2023). Dynamics of landslide-generated tsunamis and their dependence on the particle concentration of initial release mass. European Journal of Mechanics - B/Fluids, 97, 146–161. https://doi.org/10.1016/j.euromechflu.2022.10.003.
Kafle, J., Kattel, P., Pokhrel, P. R., & Khattri, K. B. (2021). Numerical experiments on effect of topographical slope changes in the dynamics of landslides generated water waves and submarine mass flows. Journal of Applied Fluid Mechanics, 14(3), 861-876. https://doi.org/10.47176/jafm.14.03.31740
Kafle, J., Pokhrel, P. R. Khattri, K. B., Kattel, P., Tuladhar, B. M., & Pudasaini, S. P. (2016). Submarine landslide and particle transport in mountain lakes, reservoirs and hydraulic plants. Annals of Glaciology, 57(71), 232– 244. https://doi.org/10.3189/2016AoG71A034.
Kattel, P., & Tuladhar, B. M. (2018). Interaction of two-phase debris flow with lateral converging shear walls. Journal of Nepal Mathematical Society, 1(2), 40–52. https://doi.org/10.3126/jnms.v1i2.41490.
Kattel, P., Kafle, J., Fischer, J.-T. Mergili, M. Tuladhar, B. M., & Pudasaini, S. P. (2018). Interaction of two-phase debris flow with obstacles. Engineering Geology, 242, 197–217. https://doi.org/10.1016/j.enggeo.2018.05.023.
Kattel, P., Khattri, K. B. & Pudasaini, S. P. (2021). A multiphase virtual mass model for debris flow. International Journal of Non-Linear Mechanics, 129. https://doi.org/10.1016/j.ijnonlinmec.2020.103638.
Kattel, P., Khattri, K. B., Pokhrel, P. R., Kafle, J., Tuladhar, B. M., & Pudasaini, S. P. (2016). Simulating glacial lakea two-phase mass flow model. Annals of Glaciology, 57(71), 349–358. https://doi.org/10.3189/2016AoG71A039.
Kinoshita, R. (1961). An investigation of channel deformation in Ishikari river. Science and Technology Agency, Bureau of Resources.
Kopera, K. N. (2014). Identifying the distinct rock types in the streambed of muddy run. The Juniata Journal of Geology, 1, 1–7.
Langbein, W. B., & Leopold, L. B. (1966). River meanders – Theory of minimum variance. Geological Survey Professional Paper 422-H. United States Government Printing Office, Washington, D. C. https://doi.org/10.3133/pp422H.
Leopold, L. B. & Wolman, M. G. (1960). River meanders. Geological Society of America, 71(6), 769–793. https://doi.org/10.1130/00167606(1960)71[769:RM]2.0.CO;2.
Mohamad, I. N., Lee, W. K., & Raksmey, M. (2015). Idealized river meander using improved sine-generated curve method. International Civil & Infrastructure Engineering Conference. https://doi.org/10.1007/978-981-10-0155-0_13.
Montgomery, D. R. & Buffington, J. M. (1998). Channel processes, classification and response. In R. Naiman & R. Bilby (Eds.), River Ecology and Management, Springer-Verilog, New York. 
Motta, D., Abad, J. D., Langendoen, E. J., & Garcia, M. H. (2012). A simplified 2-d model for meander migration with physically based bank evolution. Geomorphology, 163-164, 10–25. https://doi.org/10.1016/j.geomorph.2011.06.036.
Murray, A. B., & Paola, C. (1994). A cellular model of braided rivers. Nature, 371(6492), 54–57. https://doi.org/10.1038/371054a0.
Parker, G., Diplas, P., & Akiyama, J. (1983). Meander bends of high amplitude. Journal of Hydraulic Engineering, 109(10), 1323–1337. https://doi.org/10.1061/(ASCE)0733-9429(1983)109:10(1323).
Pastor, M., Yague, A., Stickle, M.M., Manzanal, D., & Mira, P. (2018). A two-phase SPH model for debris flow propagation. International Journal of Numerical and Analytical Methods in Geomechanics, 42(4), 418–448. https://doi.org/ 10.1002/nag.2748.
Pierson, T. C. (2005a). Hyperconcentrated flow - transitional process between water flow and debris flow, in: Jakob, M., Hungr, O. (Eds.), Debris-Flow Hazards and Related Phenomena, (pp. 159-202) Springer Praxis, Berlin, Heidelberg. https://doi.org/10.1007/3-540-27129-5_8.
Pierson, T. C. (2005b). Distinguishing between debris flows and floods for field evidence in small watersheds. U.S. Geological Survey Fact Sheet, 2004-3142. https://doi.org/10.3133/fs20043142.
Pudasaini, S. P. & Krautblatter, M. (2014). A two-phase mechanical model for rock-ice avalanches. JGR Earth Surface, 119(10), 2272–2290, https://doi.org/10.1002/2014JF003183.
Pudasaini, S. P. (2012). A general two-phase debris flow model. Journal of Geophysical Research, 117(F3) 3010. https://doi.org/10.1029/2011JF002186.
Rozovskii, I. L. (1957). Flow of water in bends of open channels. Academy of Sciences of the Ukrainian SSR, Israel Program for Scientific Translation.
Stolum, H. H. (1996) Landslide tsunamis propagating along the plane beach. Science, 271, 1710-1713.
Tai, Y. C., Noelle, S., Gray, J. M. N. T., & Hutter, K. (2002). Shock- capturing and front-tracking methods for granular avalanches. Journal of Computational Physics, 175, 269-301. https://doi.org/10.1006/jcph.2001.6946.
Takahasi, T. (2007). Debris flow: Mechanics, prediction and counter measures. Taylor and Francis, New York.
Tulapurkara, E. G., Gowda, B. H. L., & Swain, S. K. (1994). Reverse flow in channel-effect of front and rear obstructions. Physics of Fluids, 6(12), 3847–3853. https://doi.org/10.1063/1.868376.
Wilford, D., Sakals, M. E., Innes, J. L., Sidle, R. & Bergerud, W. A. (2004). Recognition of debris flow, debris flood and flood hazard through watershed morphometrics. Landslides, 1(1), 61–66. https://doi.org/ 10.1007/s10346-003-0002-0.
Yong, N. S., Mohamad, I. N., & Lee, W. K. (2018). Experimental study on river meandering planform pattern. International Journal of Engineering & Technology, 7(11), 214-217. https://doi.org/10.14419/ijet.v7i3.11.15965.
Zimmerman, C., & Kennedy, J. F. (1978). Transverse bed slopes in curved alluvial. ASCE Journal of Hydraulic Division, 104(1), 33-48. https://doi.org/10.1061/JYCEAJ.0004922.
Journal of Applied Fluid Mechanics
Volume 17, Issue 1 - Serial Number 81
January 2024
Pages 284-296

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History

  • Received: 17 April 2023
  • Revised: 23 August 2023
  • Accepted: 28 August 2023
  • Available online: 01 November 2023

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