Abstract
The numerical simulation of tsunami induced by layer-by-layer sliding of submarine slope with various initial location of landslide body is performed. For the landslide body, an elastoplastic model with layered sediments taking into account the porosity and deconsolidation of the landslide mass, resting on a relatively rigid base, is used. The characteristic parameters of the above model correspond to those of the landslide and tsunami event in the Corinth Bay on February 7, 1963 modeled by the authors (Papadopoulos et al. 2007). To numerically represent the dynamics of landslide motion numerical code FLAC is used, which in contrast to the finite element method implements an explicit finite-difference scheme for solving three-dimensional problems of continuum mechanics, and allows simulation of the nonlinear behavior of porous-saturated grounds under conditions of plastic flow above the yield stress. Because of plane slope conditions, the nonlinear system of shallow water equations is used for the numerical simulation of tsunami. The results demonstrate that at each time moment, the tsunami runup occurs at novel surface of the coastal slope that leads to complex repositioning of the shoreline point that depends on initial location of the landslide volume. Such an observation is absent in conventional (e.g. rigid block, viscoplastic etc.) models The results of the work demonstrate a rather physical picture of the process under consideration. More importantly modeling results of this work may help in identifying the generating mechanism of historical or future landslide tsunamis.
Similar content being viewed by others
References
De Blasio FV, Elverhoi A, Issler D, Harbitz CB, Bryn P, Lien R (2004) Flow models of natural debris flows originating from overconsolidated clay material. Mar Geol 213:439–455
Fine I, Rabinovich A, Bornhold B, Thomson R, Kulikov E (2005) The grand banks landslide- generated tsunami of November 18, 1929: preliminary analysis and numerical modeling. Mar Geol 215:45–57
Garagash IA and Chemenda A (2003) Numerical modeling of submarine landsliding triggered by seismic and tectonic processes, in: Proc of 2nd Taiwan-France Symp on Natural Hazards Mitigation: Methods and Applications, Villfranche-sur-Mer (SE France)
Garagash IA, Lobkovsky LI (2000) Geomechanical estimation of landslide processes and their monitoring at slopes of the Black Sea in connection with project “Blue Stream”. In: Conf Маter of VI Int Sci-tech Conf «modern methods and facilities of oceanology research». Моscow, Russia, pp 5–15
Garagash IA, Nikolaevsky VN (1989) Non-associated flow rules and localization of plastic deformation. Adv Mech 12:131–183
Garagash IA, Lobkovsky LI, Kozyrev ОR, Мazova RK (2003) Generation and runup of tsunami waves at an submarine landslide. Оceanology 43:173–181
Garder OI, Poplavsky AA (1993) Can landslides cause tsunamis? Tsunami Res 5:38–49
Garder ОI, Dolina IS, Pelinovsky ЕN et al (1993) Tsunami wave generation by gravitational lithodynamical processes. Tsunami Res 5:50–60 (in Russian)
Gonzalez FI (1999) Tsunami ! Sci Am 280:356–365
Iwasaki SI (1997) The wave form and directivity of tsunami generated by an earthquake and a landslide. Sci Tsunami Hazards 15:23
Jiang L, LeBlond PH (1993) Numerical modeling of an underwater Bingham plastic mudslide and the waves which it generates. J Geophys Res 98(q):10.303–10.317
Jiang L, LeBlond PH (1994) Three-dimensional modeling of tsunami generation due to a submarine mudslide. J Phys Oceanogr 24:559–572
Kanamori H, Kikuchi M (1993) The 1992 Nicaragua earthquake: a slow tsunami earthquake associated with subducted sediments. Nature 361:714–716
Liu W, He S (2016) A two-layer model for simulating landslide dam over mobile river beds. Landslides 13:565–576
Lobkovsky LI, Mazova RK, Garagash IA, Kataeva LY (2006) Numerical simulation of generation of tsunami 7 February 1963 in Corinth Gulf, Greece. Russ J Earth Sci 8:ES5003. https://doi.org/10.2205/2006ES000210.2006
Ma G, Kirby JT, Shi F (2013) Numerical simulation of tsunami waves generated by deformable submarine landslides. Ocean Model 69:146–165
Мazova RK (2003) Landslide tsunami. Proc of Russian Acad of Eng Sci, Appl Math Mech 4:117–125
Murty TC (1977) Seismic sea waves: tsunami. Dept. of Fisher. and the Environ., FMS, Ottawa
Papadopoulos GA, Lobkovsky LI, Mazova RK, Garagash IA et al (2007) Numerical modeling of sediment mass sliding and tsunami generation: the case of 7 February 1963, in Corinth Gulf, Greece. Mar Geod 30:335–344
Pelinovsky EN, Mazova RK (1992) Exact analytical solution of nonlinear problems of tsunami wave runup on slopes with different profiles. Nat Hazards 6:227–249
Pelinovsky E, Poplavsky A (1996) Simplified model of tsunami generation by submarine landslide. Phys Chem Earth 21:13–17
Rabinovich A, Thomson R, Bornhold B et al (2003) Numerical modelling of tsunamis generated by hypothetical landslides in the Strait of Georgia, British Columbia. Pure Appl Geophys 160:1273–1313. https://doi.org/10.1007/s000240300006
Sielecki A, Wurtele M (1970) The numerical integration of the nonlinear shallow water equations with sloping boundaries. J Comput Phys 6:219–236
Uzielli M, Catani F, Tofani V, Casagli N (2015) Risk analysis for the Ancona landslide—I: characterization of landslide kinematics. Landslides 12:69–82. https://doi.org/10.1007/s10346-014-0474-0
Vanneste M et al. (2011) Submarine landslides and their consequences: what do we know, what can we do? in: Proc of the Second World Landslide Forum 3–7 October 2011, Rome, pp.1-11
Voltsinger NE, Klevanny KA, Pelinovsky EN (1989) Long-wave dynamics of coastal zone, Gidrometeoizdat. USSR, Leningrad (in Russian)
Wang D, Randolph MF, White DJ (2013) A dynamic large deformation finite element method based on mesh regeneration. Comput Geotech 54:192–201
Watts P, Grilli ST, Kirby JT, Fryer GJ, Tappin DR (2003) Landslide tsunami case studies using a Boussinesq model and a fully nonlinear tsunami generation model. Nat Hazards Earth Syst Sci 3:391–402
Zakeri A, Hoeg K, Nadim F (2009) Submarine debris flow impact on pipelines — part II: numerical analysis. Coast Eng 56(1):1–10 (3):565-576
Acknowledgments
The authors are grateful to the editor for helpful comments, suggestions, and improvement of the English text.
Funding
This work has been supported by the Russian Federation State Program 5-100 and State assignment (project 0149-2019-0005).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Lobkovsky, L., Mazova, R., Remizov, I. et al. Local tsunami run-up depending on initial localization of the landslide body at submarine slope. Landslides 18, 897–907 (2021). https://doi.org/10.1007/s10346-020-01489-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10346-020-01489-1