Reconstruction of the 1783 Scilla landslide, Italy: numerical investigations on the flow-like behaviour of landslides

This paper presents a mass flow model that includes gravity force, material stresses, drag force and topography effects solving a set of hyperbolic partial differential equations by using a so-called depth-averaged technique. The model is non-linear and general enough to tackle various problems of interest for geophysics and environmental engineering, such as the dynamic evolution of flow-like avalanches, the dam break problem (involving only water flow) and the generation of tsunami waves by landslides. The model is based on a Eulerian fluid solver, using a second-order central scheme with a minmod-like limiter; is tested against a number of typical benchmark cases, including analytical solutions and experimental laboratory data; and also compared with other numerical codes. Through this model, we study a historical tsunamigenic event occurred in 1783 in Scilla, Italy, that resulted to be catastrophic with a toll exceeding 1500 fatalities. The landslide is reconstructed by a mixture debris flow, and results are compared with the observational data and other numerical simulations.

[1]  Yongqi Wang,et al.  Modelling and numerical simulation of two-phase debris flows , 2016 .

[2]  David Jon Furbish,et al.  Numerical Solution of the Dam-Break Problem with a Discontinuous Galerkin Method , 2004 .

[3]  M. Pastor,et al.  A depth‐integrated, coupled SPH model for flow‐like landslides and related phenomena , 2009 .

[4]  R. Iverson,et al.  U. S. Geological Survey , 1967, Radiocarbon.

[5]  Tongchun Li,et al.  A novel well-balanced scheme for modeling of dam break flow in drying-wetting areas , 2016 .

[6]  G. D. Guidi,et al.  Active faulting and seismicity along the Siculo–Calabrian Rift Zone (Southern Italy) , 2008 .

[7]  Scott McDougall,et al.  Two numerical models for landslide dynamic analysis , 2009, Comput. Geosci..

[8]  Kolumban Hutter,et al.  Shock-capturing and front-tracking methods for granular avalanches , 2015, 1501.04756.

[9]  J. J. Stoker Water Waves: The Mathematical Theory with Applications , 1957 .

[10]  Richard M. Iverson,et al.  Granular avalanches across irregular three-dimensional terrain: 1. Theory and computation , 2004 .

[11]  A. Mangeney,et al.  Exact solution for granular flows , 2013 .

[12]  Yu Luo,et al.  A MacCormack-TVD finite difference method to simulate the mass flow in mountainous terrain with variable computational domain , 2013, Comput. Geosci..

[13]  M. Sacchi,et al.  Earthquakes-Induced Environmental Effects inCoastal Area: Some Example in Calabria andSicily (Southern Italy) , 2011 .

[14]  S. Tinti,et al.  A revision of the 1783–1784 Calabrian (southern Italy) tsunamis , 2006 .

[15]  Massimiliano Stucchi,et al.  CPTI11, the 2011 version of the Parametric Catalogue of Italian Earthquakes , 2011 .

[16]  K. Kelfoun,et al.  Numerical modeling of the emplacement of Socompa rock avalanche, Chile , 2005 .

[17]  Francesca Bozzano,et al.  Earthquake triggering of landslides in highly jointed rock masses: Reconstruction of the 1783 Scilla rock avalanche (Italy) , 2011 .

[18]  E. Tadmor,et al.  New High-Resolution Central Schemes for Nonlinear Conservation Laws and Convection—Diffusion Equations , 2000 .

[19]  Sauro Succi,et al.  A multispeed Discrete Boltzmann Model for transcritical 2D shallow water flows , 2015, J. Comput. Phys..

[20]  Jean-Pierre Vilotte,et al.  Numerical modeling of avalanches based on Saint-Venant equations using a kinetic scheme , 2003 .

[21]  L. George,et al.  A two-phase debris-flow model that includes coupled evolution of volume fractions, granular dilatancy, and pore-fluid pressure , 2011 .

[22]  Long Le,et al.  A two-fluid model for avalanche and debris flows , 2005, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[23]  Maria Vittoria Avolio,et al.  A Cellular Automata Model for Flow-like Landslides with Numerical Simulations of Subaerial and Subaqueous Cases , 2009, EnviroInfo.

[24]  Stefano Tinti,et al.  A Block-Based Theoretical Model Suited to Gravitational Sliding , 1997 .

[25]  P. Lax Weak solutions of nonlinear hyperbolic equations and their numerical computation , 1954 .

[26]  Mohammed Louaked,et al.  TVD scheme for the shallow water equations , 1998 .

[27]  S. Savage,et al.  The motion of a finite mass of granular material down a rough incline , 1989, Journal of Fluid Mechanics.

[28]  Kolumban Hutter,et al.  Gravity-driven free surface flow of granular avalanches over complex basal topography , 1999, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[29]  P. Mazzanti,et al.  Revisiting the February 6th 1783 Scilla (Calabria, Italy) landslide and tsunami by numerical simulation , 2011 .

[30]  A finite volume method for two-phase debris flow simulation that accounts for the pore-fluid pressure evolution , 2016, Environmental Earth Sciences.

[31]  Pilar García-Navarro,et al.  A numerical model for the flooding and drying of irregular domains , 2002 .

[32]  Chun Wang,et al.  Modeling of unsaturated granular flows by a two-layer approach , 2017 .

[33]  E. Tadmor,et al.  Non-oscillatory central differencing for hyperbolic conservation laws , 1990 .

[34]  W. Hager,et al.  Nonhydrostatic granular flow over 3‐D terrain: New Boussinesq‐type gravity waves? , 2015 .

[35]  Manuel Jesús Castro Díaz,et al.  A new Savage-Hutter type model for submarine avalanches and generated tsunami , 2008, J. Comput. Phys..

[36]  M. Hanif Chaudhry,et al.  Explicit Methods for 2‐D Transient Free Surface Flows , 1990 .

[37]  Qiuhua Liang,et al.  A new depth-averaged model for flow-like landslides over complex terrains with curvatures and steep slopes , 2018 .

[38]  Eitan Tadmor,et al.  Nonoscillatory Central Schemes for Multidimensional Hyperbolic Conservation Laws , 1998, SIAM J. Sci. Comput..

[39]  Cheng-lung Chen,et al.  Generalized Viscoplastic Modeling of Debris Flow , 1988 .

[40]  S. Tinti,et al.  A numerical investigation of the 1783 landslide-induced catastrophic tsunami in Scilla, Italy , 2016, Natural Hazards.

[41]  Q. Liang,et al.  Numerical resolution of well-balanced shallow water equations with complex source terms , 2009 .

[42]  Richard M. Iverson,et al.  Flow of variably fluidized granular masses across three‐dimensional terrain: 1. Coulomb mixture theory , 2001 .

[43]  S. Pudasaini A general two-phase debris flow model , 2012 .