Two-dimensional landslide dynamic simulation based on a velocity-weakening friction law

Surprisingly, hypermobility (high velocity and long run-out) is a remarkable feature of large landslides and is still poorly understood. In this paper, a velocity-weakening friction law is incorporated into a depth-averaged landslide model for explaining the higher mobility mechanism of landslides. In order to improve the precision of the calculation, a coupled numerical method based on the finite volume method is proposed to solve the model equations. Finally, several numerical tests are performed to verify the stability of the algorithm and reliability of the model. The comparison between numerical results and experimental data indicates that the presented model can predict the movement of landslide accurately. Considering the effect of velocity-weakening friction law, the presented model can better reflect the hypermobility of landslide than the conventional Mohr–Coulomb friction model. This work shows that the application of a universal velocity-weakening friction law is effective in describing the hypermobility of landslide and predicting the extent of landslides.

[1]  Andreas A. Polycarpou,et al.  Modeling the effect of skewness and kurtosis on the static friction coefficient of rough surfaces , 2004 .

[2]  E. Aharonov,et al.  Long runout landslides: The role of frictional heating and hydraulic diffusivity , 2007 .

[3]  F. Legros The mobility of long-runout landslides , 2002 .

[4]  Timothy R. H. Davies,et al.  Runout of dry granular avalanches , 1999 .

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

[6]  Gonghui Wang,et al.  The internal structure of a rockslide dam induced by the 2008 Wenchuan (Mw7.9) earthquake, China , 2013 .

[7]  J. Rice Heating and weakening of faults during earthquake slip , 2006 .

[8]  Yuki Miyamoto,et al.  Initiation, movement, and run-out of the giant Tsaoling landslide — What can we learn from a simple rigid block model and a velocity–displacement dependent friction law? , 2014 .

[9]  Richard M. Iverson,et al.  Elementary theory of bed‐sediment entrainment by debris flows and avalanches , 2012 .

[10]  F. D. Blasio,et al.  Landslides in Valles Marineris (Mars): A possible role of basal lubrication by sub-surface ice , 2011 .

[11]  Lev S. Tsimring,et al.  Avalanche mobility induced by the presence of an erodible bed and associated entrainment , 2007 .

[12]  Mohammed Seaïd,et al.  A flux-limiter method for dam-break flows over erodible sediment beds , 2012 .

[13]  Izhak Etsion,et al.  A Static Friction Model for Elastic-Plastic Contacting Rough Surfaces , 2004 .

[14]  Kolumban Hutter,et al.  Two-layer debris mixture flows on arbitrary terrain with mass exchange at the base and the interface , 2012 .

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

[16]  B. V. Leer,et al.  Towards the Ultimate Conservative Difference Scheme , 1997 .

[17]  K. Masuda,et al.  Fault strength drop due to phase transitions in the pore fluid , 2007 .

[18]  Richard M. Iverson,et al.  The perfect debris flow? Aggregated results from 28 large-scale experiments , 2010 .

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

[20]  Franco Bagnoli,et al.  Particle based method for shallow landslides: modeling sliding surface lubrication by rainfall , 2011 .

[21]  Giovanni Paolo Romano,et al.  Pressures at the base of dry flows of angular rock fragments as a function of grain size and flow volume: Experimental results , 2010 .

[22]  A model of granular flows over an erodible surface , 2003 .

[23]  T. Shimamoto,et al.  Reconstruction of seismic faulting by high‐velocity friction experiments: An example of the 1995 Kobe earthquake , 2007 .

[24]  Pilar García-Navarro,et al.  Zero mass error using unsteady wetting–drying conditions in shallow flows over dry irregular topography , 2004 .

[25]  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..

[26]  Willi H. Hager,et al.  Landslide generated impulse waves. 2. Hydrodynamic impact craters , 2003 .

[27]  Yao Jiang,et al.  Dynamic analysis and field investigation of a fluidized landslide in Guanling, Guizhou, China , 2014 .

[28]  Mauri McSaveney,et al.  Runout of the Socompa volcanic debris avalanche, Chile: a mechanical explanation for low basal shear resistance , 2010 .

[29]  Anne Mangeney,et al.  Mobility and topographic effects for large Valles Marineris landslides on Mars , 2007 .

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

[31]  J. Ampuero,et al.  Frictional velocity-weakening in landslides on Earth and on other planetary bodies , 2014, Nature Communications.

[32]  E. Aharonov,et al.  On the stability of landslides: A thermo-poro-elastic approach , 2009 .

[33]  Ming-Lang Lin,et al.  Effects of seismic anisotropy and geological characteristics on the kinematics of the neighboring Jiufengershan and Hungtsaiping landslides during Chi-Chi earthquake , 2009 .

[34]  Kyoji Sassa,et al.  A fluidized landslide on a natural slope by artificial rainfall , 2004 .

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

[36]  E. Bruce Pitman,et al.  A Model for Granular Flows over an Erodible Surface , 2009, SIAM J. Appl. Math..

[37]  H. Ochiai,et al.  Landslide fluidization process by flume experiments , 2002 .

[38]  Willi H. Hager,et al.  Landslide generated impulse waves. , 2003 .

[39]  W. Hager,et al.  Wave types of landslide generated impulse waves , 2011 .

[40]  Yuki Miyamoto,et al.  Velocity-Displacement Dependent Friction Coefficient and the Kinematics of Giant Landslide , 2011 .

[41]  Stephen Roberts,et al.  Numerical solution of the two-dimensional unsteady dam break , 2000 .

[42]  Roger Alexander Falconer,et al.  Comparison between TVD-MacCormack and ADI-type solvers of the shallow water equations , 2006 .

[43]  Scott McDougall,et al.  Dynamic modelling of entrainment in rapid landslides , 2005 .

[44]  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.

[45]  T. Shimamoto,et al.  Evidence of thermal pressurization in high‐velocity friction experiments on smectite‐rich gouges , 2010 .

[46]  N. Beeler,et al.  Constitutive relationships and physical basis of fault strength due to flash heating , 2008 .

[47]  Giovanni B. Crosta,et al.  Modelling rock avalanche propagation onto glaciers , 2012 .

[48]  D. Zhong,et al.  Simulations of granular flow along an inclined plane using the Savage-Hutter model , 2012 .