Abstract
This experimental study provides insight into impulse waves generated by a viscoplastic material. The viscoplastic material chosen is a stable polymeric gel called Carbopol Ultrez 10, which is approximately modeled as Herschel–Bulkley model. As observed from high-speed cameras, the viscoplastic material such as Carbopol moves as a long and thin train of material along the slope, and only a fraction of the sliding mass is engaged in generating the leading wave. Therefore, our primary objective is to study how much of the initial slide mass is able to contribute to the leading wave formation. For the sake of distinguishing the actual slide mass acting on the leading wave formation with the initial mass, we define the submarine slide mass when the leading wave reaches its maximum wave height as “effective mass”. In this work, we held the still water depth and slope angle constant, and varied the initial slide mass and slope length. Then, we measured the slide velocity, slide thickness, and slide mass at impact, as well as the wave amplitude and wave height. The results indicate that the effective mass is dependent on both the initial slide mass and the slope length. The ratio of the effective mass to the initial slide mass is less than 20% in our experimental range, and the ratio increases with larger initial mass. In addition, we also examined our experimental data with previous empirical equations developed from granular slides. By considering the effective mass instead of the initial slide mass, the prediction of impulse waves generated by viscoplastic material is significantly improved.
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References
Abadie S, Morichon D, Grilli S, Glockner S (2010) Numerical simulation of waves generated by landslides using a multiple-fluid navier-stokes model. Coast Eng 57(9):779–794. https://doi.org/10.1016/j.coastaleng.2010.03.003
Ancey C (2007) Plasticity and geophysical flows: a review. J Non-Newtonian Fluid Mech 142(1-3):4–35. https://doi.org/10.1016/j.jnnfm.2006.05.005
Ancey C, Cochard S (2009) The dam-break problem for herschel-bulkley viscoplastic fluids down steep flumes. J Non-Newtonian Fluid Mech 158(1–3):18–35. https://doi.org/10.1016/j.jnnfm.2008.08.008
Ancey C, Cochard S, Andreini N (2009) The dam-break problem for viscous fluids in the high-capillary-number limit. J Fluid Mech 624:1–22. https://doi.org/10.1017/S0022112008005041
Ancey C, Bates BM (2017) Stokes’ third problem for herschel-bulkley fluids. J Non-Newtonian Fluid Mech 243:27–37. https://doi.org/10.1016/j.jnnfm.2017.03.005
Andreini N, Epely-Chauvin G, Ancey C (2012) Internal dynamics of Newtonian and viscoplastic fluid avalanches down a sloping bed. Phys Fluids 24(5):053101. https://doi.org/10.1063/1.4718018
Ataie-Ashtiani B, Malek-Mohammadi S (2007) Near field amplitude of sub-aerial landslide generated waves in dam reservoirs. Dam Eng 17(4):197–222
Balmforth N, Craster R, Perona P, Rust A, Sassi R (2007) Viscoplastic dam breaks and the bostwick consistometer. J Non-Newtonian Fluid Mech 142:63–78
Bates BM, Andreini N, Ancey C (2016) Basal entrainment by newtonian gravity-driven flows. Phys Fluids 28(5):053101. https://doi.org/10.1063/1.4947242
Bates BM, Ancey C (2017) The dam-break problem for eroding viscoplastic fluids. J Non-Newtonian Fluid Mech 243:64–78. https://doi.org/10.1016/j.jnnfm.2017.01.009
Chambon G, Ghemmour A, Naaim M (2014) Experimental investigation of viscoplastic free-surface flows in a steady uniform regime. J Fluid Mech 754:332–364. https://doi.org/10.1017/jfm.2014.378
Chanson H, Jarny S, Coussot P (2006) Dam break wave of thixotropic fluid. J Hydraul Eng ASCE 132(3):280–293. https://doi.org/10.1061/(asce)0733-9429(2006)132:3(280)
Cochard S, Ancey C (2009) Experimental investigation of the spreading of viscoplastic fluids on inclined planes. J Non-Newtonian Fluid Mech 158(1-3):73–84. https://doi.org/10.1016/j.jnnfm.2008.08.007
Cremonesi M, Frangi A, Perego U (2011) A lagrangian finite element approach for the simulation of water-waves induced by landslides. Comput Struct 89(11-12):1086–1093. https://doi.org/10.1016/j.compstruc.2010.12.005
Dent J, Lang T (1983) A biviscous modified bingham model of snow avalanche motion. Ann Glaciol 4:42–46. https://doi.org/10.1017/S0260305500005218
Di Risio M, Sammarco P (2008) Analytical modeling of landslide-generated waves. J Waterw Port C-ASCE 134(1):53–60. https://doi.org/10.1061/(ASCE)0733-950X(2008)134:1(53)
Evers FM, Hager WH (2016) Spatial impulse waves: wave height decay experiments at laboratory scale. Landslides 13(6):1395–1403. https://doi.org/10.1007/s10346-016-0719-1
Fritz HM (2002a) Initial phase of landslide generated impulse waves. Doctoral dissertation, ETH Zürich, Zürich
Fritz HM (2002b) PIV applied to landslide generated impulse waves. In: Laser techniques for fluid mechanics. Springer, Berlin, pp 305–320. https://doi.org/10.1007/978-3-662-08263-8_18
Fritz HM, Hager WH, Minor HE (2003a) Landslide generated impulse waves. 1. Instantaneous flow fields. Exp Fluids 35(6):505–519. https://doi.org/10.1007/s00348-003-0659-0
Fritz HM, Hager WH, Minor HE (2003b) Landslide generated impulse waves. 2. Hydrodynamic impact craters. Exp Fluids 35(6):520–532. https://doi.org/10.1007/s00348-003-0660-7
Fritz HM, Hager W, Minor H-E (2004) Near field characteristics of landslide generated impulse waves. J Waterw Port C-ASCE 130(6):287–302. https://doi.org/10.1061/(ASCE)0733-950X(2004)130:6(287)
Fritz HM, Mohammed F, Yoo J (2009) Lituya bay landslide impact generated mega-tsunami 50(th) anniversary. Pure Appl Geophys 166(1-2):153–175. https://doi.org/10.1007/s00024-008-0435-4
Fritz HM, Hillaire JV, Moliere E, Wei Y, Mohammed F (2013) Twin tsunamis triggered by the 12 January 2010 Haiti earthquake. Pure Appl Geophys 170(9-10):1463–1474. https://doi.org/10.1007/s00024-012-0479-3
Heller V (2007) Landslide generated impulse waves: prediction of near-field characteristics. Doctoral dissertation, ETH Zürich, Zürich
Heller V, Hager WH, Minor H-E (2008) Scale effects in subaerial landslide generated impulse waves. Exp Fluids 44(5):691–703. https://doi.org/10.1007/s00348-007-0427-7
Heller V, Hager WH (2010) Impulse product parameter in landslide generated impulse waves. J Waterw Port C-ASCE 136(3):145–155. https://doi.org/10.1061/(asce)ww.1943-5460.0000037
Heller V, Moalemi M, Kinnear RD, Adams RA (2012) Geometrical effects on landslide-generated tsunamis. J Waterw Port C-ASCE 138(4):286–298. https://doi.org/10.1061/(asce)ww.1943-5460.0000130
Heller V, Spinneken J (2013) Improved landslide-tsunami prediction: effects of block model parameters and slide model. J Geophys Res Oceans 118(3):1489–1507. https://doi.org/10.1002/jgrc.20099
Heller V, Spinneken J (2015) On the effect of the water body geometry on landslide-tsunamis: physical insight from laboratory tests and 2d to 3d wave parameter transformation. Coast Eng 104:113–134. https://doi.org/10.1016/j.coastaleng.2015.06.006
Kesseler M, Heller V, Turnbull B (2017) A laboratory-numerical approach for quantifying scale effects in dry granular slides. Abstract. Colloquium 588, Coupling Mechanisms and Multi-scaling in Granular-Fluid Flows, European Mechanics Society, Toulouse, France
Luu L-H, Philippe P, Chambon G (2015) Experimental study of the solid-liquid interface in a yield-stress fluid flow upstream of a step. Phys Rev E 91(1):013013. https://doi.org/10.1103/PhysRevE.91.013013
McFall BC, Fritz HM (2016) Physical modelling of tsunamis generated by three-dimensional deformable granular landslides on planar and conical island slopes. P Roy Soc A Math Phy 472(2218):20160052. https://doi.org/10.1098/rspa.2016.0052
McFall BC, Fritz HM (2017) Runup of granular landslide-generated tsunamis on planar coasts and conical islands. J Geophys Res Oceans 122(8):6901–6922. https://doi.org/10.1002/2017JC012832
Miller GS, Take WA, Mulligan RP, McDougall S (2017) Tsunamis generated by long and thin granular landslides in a large flume. J Geophys Res Oceans 122(1):653–668. https://doi.org/10.1002/2016JC012177
Mohammed F, Fritz HM (2012) Physical modeling of tsunamis generated by three-dimensional deformable granular landslides. J Geophys Res Oceans 117:C11
Skvortsov A, Bornhold B (2007) Numerical simulation of the landslide-generated tsunami in Kitimat Arm, British Columbia, Canada, 27 April 1975. J Geophys Res Earth Surf 112:F2
SLF Davos (2000) Der lawinenwinter 1999, ereignisanalyse. Davos, eidg. Institut für schnee- und lawinenforschung. ISBN 3-905620-80-4
Walder JS, Watts P, Sorensen OE, Janssen K (2003) Tsunamis generated by subaerial mass flows. J Geophys Res Solid Earth 108:B5
Weiss R, Fritz HM, Wunnemann K (2009) Hybrid modeling of the mega-tsunami runup in Lituya Bay after half a century. Geophys Res Lett 36:L9
Yavari-Ramshe S, Ataie-Ashtiani B (2016) Numerical modeling of subaerial and submarine landslide-generated tsunami waves—recent advances and future challenges. Landslides 13(6):1325–1368. https://doi.org/10.1007/s10346-016-0734-2
Yavari-Ramshe S, Ataie-Ashtiani B (2017) A rigorous finite volume model to simulate subaerial and submarine landslide-generated waves. Landslides 14(1):203–221. https://doi.org/10.1007/s10346-015-0662-6
Zhao LH, Mao J, Bai X, Liu XQ, Li TC, Williams JJR (2016) Finite element simulation of impulse wave generated by landslides using a three-phase model and the conservative level set method. Landslides 13(1):85–96. https://doi.org/10.1007/s10346-014-0552-3
Zitti G, Ancey C, Postacchini M, Brocchini M (2016) Impulse waves generated by snow avalanches: momentum and energy transfer to a water body. J Geophys Res Earth 121(12):2399–2423. https://doi.org/10.1002/2016JF003891
Zitti G, Ancey C, Postacchini M, Brocchini M (2017) Snow avalanches striking water basins: behaviour of the avalanche’s centre of mass and front. Nat Hazards 88(3):1297–1323. https://doi.org/10.1007/s11069-017-2919-y
Zweifel A (2004) Impulswellen: Effekte der Rutschdichte und der Wassertiefe. Doctoral dissertation, ETH Zürich, Zürich
Zweifel A, Hager WH, Minor HE (2006) Plane impulse waves in reservoirs. J Waterw Port C-ASCE 132(5):358–368. https://doi.org/10.1061/(asce)0733-950x(2006)132:5(358)
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The work presented here was supported by the Swiss NSF Grant No. 200021_146271/1.
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Meng, Z. Experimental study on impulse waves generated by a viscoplastic material at laboratory scale. Landslides 15, 1173–1182 (2018). https://doi.org/10.1007/s10346-017-0939-z
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DOI: https://doi.org/10.1007/s10346-017-0939-z