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Dispersive effects of water waves generated by submerged landslide

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Abstract

In this study, we developed three solutions with different degrees of dispersion for an idealized model where the landslide moves along a flat bottom; this was to elucidate the effects of landslide acceleration on the dispersive property of the generated water waves. Both free surface elevations and velocity profiles are obtained with their integral forms for the three solutions. Based on the derivations of the solutions, it is found theoretically that landslide acceleration can cause the generated water waves to be dispersive. Numerical integrations are carried out by using the extended trapezoidal rule and the solutions are validated by comparison with the available experimental results. Case studies are carried out by the three models, and the results show that the amplitude of water waves increases with the increase in landslide acceleration. Evident dispersive effects caused by the landslide acceleration can be found, especially with the increase in water depth. This confirms the theoretical findings in this study. In addition, the wide range of applications of these three solutions are indicated.

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References

  • Abadie SM, Harris JC, Grilli ST, Fabre R (2012) Numerical modeling of tsunami waves generated by the flank collapse of the Cumbre Vieja Volcano (La Palma, Canary Islands): tsunami source and near field effects. J Geophys Res 117:C05030

    Article  Google Scholar 

  • Ataie-Ashtiani B, Najafi Jilani A (2007) A higher-order Boussinesq-type model with moving bottom boundary: applications to submarine landslide tsunami waves. Int J Numer Methods Fluids 53(6):1019–1048

    Article  Google Scholar 

  • Behrens J, Dias F (2015) New computational methods in tsunami science. Philos Trans R Soc A-Math Phys Eng Sci 373(2053):20140382

    Article  Google Scholar 

  • Bosa S, Petti M (2011) Shallow water numerical model of the wave generated by the Vajont landslide. Environ Modell Softw 26(4):406–418

    Article  Google Scholar 

  • Di Risio M, Girolamo PD, Beltrami GM (2011) Forecasting landslide generated tsunamis: a review. Tsunami Threat-Res Technol. InTech

  • Fritz HM, Hager WH, Minor HE (2004) Near field characteristics of landslide generated impulse waves. J Waterw Port Coast Ocean Eng 130(6):287–302

    Article  Google Scholar 

  • Fuhrman DR, Madsen PA (2009) Tsunami generation, propagation, and run-up with a high-order Boussinesq model. Coast Eng 56(7):747–758

    Article  Google Scholar 

  • Gisler GR (2008) Tsunami simulations. Annu Rev Fluid Mech 40:71–90

    Article  Google Scholar 

  • Gisler GR, Weaver R, Mader CL, Gittings ML (2004) Two- and three-dimensional asteroid impact simulations. Comput Sci Eng 6:46–55

    Article  Google Scholar 

  • Glimsdal S, Pedersen GK, Harbitz CB, Løvholt F (2013) Dispersion of tsunamis: does it really matter? Nat Hazards Earth Syst Sci 13:1507–1526

    Article  Google Scholar 

  • Harbitz CB, Løvholt F, Bungum H (2014) Submarine landslide tsunamis: how extreme and how likely? Nat Hazards 72(3):1341–1374

    Article  Google Scholar 

  • Harbitz CB, Løvholt F, Pedersen G, Masson DG (2006) Mechanisms of tsunami generation by submarine landslides: a short review. Norw J Geol 86(3):255–264

    Google Scholar 

  • Heidarzadeh M, Krastel S, Yalciner AC (2014) The state-of-the-art numerical tools for modeling of landslide tsunamis: a short review. Submarine mass movements and their consequences. Springer, Berlin

    Google Scholar 

  • Jiang L, Leblond PH (1992) The coupling of a submarine slide and the surface waves which it generates. J Geophys Res 97(C8):731–744

    Article  Google Scholar 

  • Lo HY, Liu LFP (2017) On the analytical solutions for water waves generated by a prescribed landslide. J Fluid Mech 821:85–116

    Article  Google Scholar 

  • Løvholt F, Harbitz CB, Haugen KB (2005) A parametric study of tsunamis generated by submarine slides in the Ormen Lange/Storegga area off western Norway. Mar Pet Geol 22:219–231

    Article  Google Scholar 

  • Løvholt F, Kaiser G, Glimsdal S et al (2012) Modeling propagation and inundation of the 11 March 2011 tohoku tsunami. Nat Hazards Earth Syst Sci 12(4):1017–1028

    Article  Google Scholar 

  • Løvholt F, Pedersen GK, Harbitz CB, Glimsdal S, Kim J (2015) On the characteristics of landslide tsunamis. Philos Trans R Soc A-Math Phys Eng Sci 373:20140376

    Article  Google Scholar 

  • Lynett P, Liu LFP (2002) A numerical study of submarine-landslide-generated waves and run-up. Proc R Soc A-Math Phys Eng Sci 458(2028):2885–2910

    Article  Google Scholar 

  • Mei CC, Stiassnie M, Yue DKP (2005) Theory and applications of ocean surface waves: linear aspects. World Scientific, Singapore

    Google Scholar 

  • Panizzo A, Girolamo PD, Di Risio M, Maistri A, Petaccia A (2005) Great landslide events in Italian artificial reservoirs. Nat Hazards Earth Syst Sci 5(5):733–740

    Article  Google Scholar 

  • Renzi E, Sammarco P (2016) The hydrodynamics of landslide tsunamis: current analytical models and future research directions. Landslides 13(6):1369–1377

    Article  Google Scholar 

  • Serrano-Pacheco A, Murillo J, García-Navarro P (2009) A finite volume method for the simulation of the waves generated by landslides. J Hydrol 373(3–4):273–289

    Article  Google Scholar 

  • Shi C, An Y, Wu Q, Liu Q, Cao Z (2016) Numerical simulation of landslide-generated waves using a soil-water coupling smoothed particle hydrodynamics model. Adv Water Resour 92:130–141

    Article  Google Scholar 

  • Synolakis CE, Bardet JP, Borrero JC et al (2002) The slump origin of the 1998 papua new guinea tsunami. Proc R Soc A-Math Phys Eng Sci 458(2020):763–789

    Article  Google Scholar 

  • Tinti S, Bortolucci E (2000) Energy of water waves induced by submarine landslides. Pure Appl Geophys 157(3):281–318

    Article  Google Scholar 

  • Wang Y, Liu P, Mei CC (2011) Solid landslide generated waves. J Fluid Mech 675:529–539

    Article  Google Scholar 

  • Whittaker C (2013) Modelling of tsunami generated by the motion of a rigid block along a horizontal boundary. Dissertation, University of Canterbury

  • Whittaker C, Nokes R, Davidson M (2015) Tsunami forcing by a low Froude number landslide. Environ Fluid Mech 15(6):1215–1239

    Article  Google Scholar 

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Acknowledgements

The study is financially supported by the National Key R& D Program of China (2017YFC0504704, 2018YFD0900704), the National Natural Science Foundation of China (11605136, 51909211), and the Key R& D Projects of Shaanxi Province, China (2018SF–352).

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Authors and Affiliations

  1. State Key Laboratory of Eco-hydraulics in Northwest Arid Region of China, Xi’an University of Technology, Xi’an, 710048, China

    Haixiao Jing, Guoding Chen, Wen Wang & Juanli Zuo

  2. Department of Mechanics, Tianjin University, Tianjin, China

    Changgen Liu

  3. State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, College of Hydrology and Water Resources, Hohai University, Nanjing, 210098, Jiangsu, China

    Guoding Chen

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  1. Haixiao Jing
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  2. Guoding Chen
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  3. Changgen Liu
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  4. Wen Wang
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  5. Juanli Zuo
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Correspondence to Changgen Liu.

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Jing, H., Chen, G., Liu, C. et al. Dispersive effects of water waves generated by submerged landslide. Nat Hazards 103, 1917–1941 (2020). https://doi.org/10.1007/s11069-020-04063-z

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