Numerical modeling of seismic triggering, evolution, and deposition of rapid landslides: Application to Higashi–Takezawa (2004)

A mathematical model is developed for the dynamic analysis of earthquake‐triggered rapid landslides, considering two mechanically coupled systems: (a) the accelerating deformable body of the slide and (b) the rapidly deforming shear band at the base of the slide. The main body of the slide is considered as a one‐phase mixture of Newtonian incompressible fluids and Coulomb solids sliding on a plane of variable inclination. The evolution of the landslide is modeled via a depth‐integrated model of the Savage–Hutter type coupled with: (a) a cyclic hysteretic constitutive model of the Bouc–Wen type and (b) Voellmy's rheology for the deformation of the material within the shear band. The original shallow‐water equations that govern the landslide motion are appropriately reformulated to account for inertial forces due to seismic loading, and to allow for a smooth transition between the active and the passive state. The capability of the developed model is tested against the Higashi–Takezawa landslide. Triggered by the 2004 Niigata‐ken Chuetsu earthquake, the slide produced about 100m displacement of a large wedge from an originally rather mild slope. The mechanism of material softening inside the shear band responsible for the surprisingly large run‐out of the landslide is described by a set of equations for grain crushing‐induced pore‐water pressures. The back‐analysis reveals interesting patterns on the flow dynamics, and the numerical results compare well with field observations. It is shown that the mechanism of material softening is a crucial factor for the initiation and evolution of the landslide, while viscoplastic frictional resistance is a key requirement for successfully reproducing the field data. Copyright © 2009 John Wiley & Sons, Ltd.

[1]  S. Pudasaini,et al.  Rapid shear flows of dry granular masses down curved and twisted channels , 2003, Journal of Fluid Mechanics.

[2]  I. Vardoulakis.  Dynamic thermo-poro-mechanical analysis of catastrophic landslides , 2002 .

[3]  Chin-Hsiung Loh,et al.  Probabilistic evaluation of liquefaction potential under earthquake loading , 1995 .

[4]  J. N. Hutchinson.  A sliding–consolidation model for flow slides , 1986 .

[5]  E. Faccioli,et al.  Numerical Modelling Approaches for the Analysis of Earthquake Triggered Landslides , 1995 .

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

[7]  George Gazetas,et al.  Development of Winkler model for static and dynamic response of caisson foundations with soil and interface nonlinearities , 2006 .

[8]  Sandra Escoffier,et al.  Numerical modeling of centrifuge cyclic lateral pile load experiments , 2009 .

[9]  Oldrich Hungr,et al.  A model for the runout analysis of rapid flow slides, debris flows, and avalanches , 1995 .

[10]  K. Hutter,et al.  Motion of a granular avalanche in an exponentially curved chute: experiments and theoretical predictions , 1991, Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences.

[11]  Allen Bateman,et al.  Application of FLATModel, a 2D finite volume code, to debris flows in the northeastern part of the Iberian Peninsula , 2008 .

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

[13]  Kyoji Sassa,et al.  Dynamic properties of earthquake-induced large-scale rapid landslides within past landslide masses , 2005 .

[14]  George Gazetas,et al.  A model for grain-crushing-induced landslides—Application to Nikawa, Kobe 1995 , 2007 .

[15]  Giovanni B. Crosta,et al.  Small fast-moving flow-like landslides in volcanic deposits: The 2001 Las Colinas Landslide (El Salvador) , 2005 .

[16]  Y. Wen.  Method for Random Vibration of Hysteretic Systems , 1976 .

[17]  Nikos Gerolymos,et al.  PHENOMENOLOGICAL MODEL APPLIED TO INELASTIC RESPONSE OF SOIL-PILE INTERACTION SYSTEMS , 2005 .

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

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

[20]  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.

[21]  M. Pastor,et al.  A depth-integrated viscoplastic model for dilatant saturated cohesive-frictional fluidized mixtures: Application to fast catastrophic landslides , 2009 .

[22]  Philippe Coussot,et al.  Numerical modeling of mudflows , 1997 .

[23]  C. F. Lee,et al.  Runout Analysis of Slurry Flows with Bingham Model , 2002 .

[24]  T. Belytschko,et al.  Element‐free Galerkin methods , 1994 .

[25]  Kyoji Sassa.  Landslide disasters triggered by the 2004 Mid-Niigata Prefecture earthquake in Japan , 2005 .

[26]  R. Byron Bird,et al.  The Rheology and Flow of Viscoplastic Materials , 1983 .

[27]  G. Midi,et al.  On dense granular flows , 2003, The European physical journal. E, Soft matter.

[28]  C. Josserand,et al.  Stationary shear flows of dense granular materials: a tentative continuum modelling , 2004, The European physical journal. E, Soft matter.

[29]  P. Roe.  CHARACTERISTIC-BASED SCHEMES FOR THE EULER EQUATIONS , 1986 .

[30]  D. Potts,et al.  Finite element analysis of progressive failure of Carsington embankment , 1990 .

[31]  O Pouliquen.  Velocity correlations in dense granular flows. , 2004, Physical review letters.

[32]  N. Newmark.  Effects of Earthquakes on Dams and Embankments , 1965 .

[33]  Michael M. Khonsari,et al.  Granular Lubrication: Toward an Understanding of the Transition Between Kinetic and Quasi-Fluid Regime , 2004 .

[34]  S. K. Sarma.  Seismic stability of earth dams and embankments , 1975 .

[35]  J. Prévost,et al.  Dynamic strain localization in elasto-(visco-)plastic solids, Part 1. General formulation and one-dimensional examples , 1990 .

[36]  M. Quecedo,et al.  Mathematical, Constitutive and Numerical Modelling of Catastrophic Landslides and Related Phenomena , 2008 .

[37]  Atsushi Yashima,et al.  Importance of viscous fluid characteristics in liquefaction induced lateral spreading analysis , 2000 .

[38]  O. Hungr.  Analysis of debris flow surges using the theory of uniformly progressive flow , 2000 .

[39]  Atsushi Yashima,et al.  Fluid dynamics based prediction of liquefaction induced lateral spreading , 1998 .

[40]  Maria Nicolina Papa,et al.  Numerical simulation of real debris-flow events , 2000 .

[41]  Ioannis Vardoulakis,et al.  Catastrophic landslides due to frictional heating of the failure plane , 2000 .

[42]  John J. Clague,et al.  Dynamics of the 1984 rock avalanche and associated distal debris flow on Mount Cayley, British Columbia, Canada; implications for landslide hazard assessment on dissected volcanoes , 2001 .

[43]  K. Hutter,et al.  Two-dimensional similarity solutions for finite-mass granular avalanches with coulomb- and viscous-type frictional resistance , 1993, Journal of Glaciology.

[44]  George Gazetas,et al.  CONSTITUTIVE MODEL FOR 1-D CYCLIC SOIL BEHAVIOUR APPLIED TO SEISMIC ANALYSIS OF LAYERED DEPOSITS , 2005 .

[45]  Hiroshi Fukuoka,et al.  Earthquake-induced-landslides : Distribution, motion and mechanisms , 1996 .

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

[47]  O. C. Zienkiewicz,et al.  VISCO-PLASTICITY--PLASTICITY AND CREEP IN ELASTIC SOLIDS--A UNIFIED NUMERICAL SOLUTION APPROACH , 1974 .

[48]  A. Troncone.  Numerical analysis of a landslide in soils with strain-softening behaviour , 2005 .

[49]  Javier Bonet,et al.  A corrected smooth particle hydrodynamics formulation of the shallow-water equations , 2005 .

[50]  G. Nanson,et al.  Hydraulic geometry and maximum flow efficiency as products of the principle of least action , 2000 .

[51]  Philippe Coussot,et al.  Steady, laminar, flow of concentrated mud suspensions in open channel , 1994 .

[52]  M. K. Yegian,et al.  Earthquake‐Induced Permanent Deformations: Probabilistic Approach , 1991 .

[53]  Rinaldo Genevois,et al.  Comparison of numerical models of two debris flows in the Cortina d’ Ampezzo area, Dolomites, Italy , 2008 .

[54]  B. Hardin,et al.  Crushing of Soil Particles , 1985 .

[55]  H. Bolton Seed,et al.  Closure of "Simplified Procedure for Estimating Dam and Embankment Earthquake-Induced Deformations" , 1977 .

[56]  R. Bagnold.  Experiments on a gravity-free dispersion of large solid spheres in a Newtonian fluid under shear , 1954, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[57]  Jonathan D. Bray,et al.  Shaking Table Modeling of Seismically Induced Deformations in Slopes , 2005 .

[58]  Undrained cyclic shear response evaluation of sand based on undrained monotonic ring shear tests , 2004 .

[59]  O. Hungr,et al.  A model for the analysis of rapid landslide motion across three-dimensional terrain , 2004 .

[60]  George Gazetas,et al.  A THERMO-PORO-VISCO-PLASTIC SHEAR BAND MODEL FOR SEISMIC TRIGGERING AND EVOLUTION OF CATASTROPHIC LANDSLIDES , 2007 .

[61]  George Gazetas,et al.  Static and dynamic response of massive caisson foundations with soil and interface nonlinearities—validation and results , 2006 .

[62]  B. V. Leer,et al.  Towards the ultimate conservative difference scheme V. A second-order sequel to Godunov's method , 1979 .

[63]  Kolumban Hutter,et al.  Pattern formation in granular avalanches , 1997 .

[64]  Olivier Pouliquen,et al.  A constitutive law for dense granular flows , 2006, Nature.

[65]  Olivier Pouliquen,et al.  Submarine granular flows down inclined planes , 2005 .

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

[67]  Christophe Ancey,et al.  Plasticity and geophysical flows: A review , 2007 .