Depth integrated modelling of fast landslide propagation

7. References

• Biot , M. A. 1941 . “General theory of three-dimensional consolidation” . Journal of Applied Physics , Vol. 12 : 155 – 164 .
   Google Scholar
• Biot , M. A. 1955 . “Theory of elasticity and consolidation for a porous anisotropic solid” . Journal of Applied Physics , Vol. 26 : 182 – 185 .
   Web of Science ®Google Scholar
• Blanc , T. 2008 . Numerical simulation of debris flows with the 2D SPH depth-integrated model , Master Thesis Wien , , Austria : Institute for Mountain Risk Engineering, University of Natural Resources and Applied Life Sciences .
   Google Scholar
• Bonet , J and Kulasegaram , S. 2000 . “Correction and stabilization of smooth particle hydrodynamics methods with applications in metal forming simulations” . Int. J. Numer. Meth. Engng. , Vol. 47 : 1189 – 1214 .
   Web of Science ®Google Scholar
• Bonet , J. and Rodíguez Paz , M. X. 2005 . “A corrected smooth particle hydrodynamics formulation of the shallow-water equations” . Computers and Structures , Vol. 83 : 1396 – 1410 .
   Web of Science ®Google Scholar
• Coussy , O. 1995 . Mechanics of Porous Media , Chichester : John Wiley and Sons .
   Google Scholar
• de Boer , R. 2000 . Theory of porous media , Berlin : Springer-Verlag .
   Google Scholar
• Dawson , R. F. , Morgenstern , N. R. and Stokes , A. W. 1998 . “Liquefaction flowslides in Rocky Mountains coal mine waste dumps” . Canadian Geotechnical Journal , Vol. 35 : 328 – 343 .
   Web of Science ®Google Scholar
• Dikau , R. , Brundsen , D. , Schrott , L. and Ibsen , M. L. 1996 . Landslide Recognition , John Wiley and Sons .
   Google Scholar
• Gingold , R. A. and Monaghan , J. J. 1982 . “Kernel estimates as a basis for general particle methods in hydrodynamics” . J. Comput. Phys. , Vol. 46 : 429 – 453 .
   Web of Science ®Google Scholar
• Hungr , O. 1995 . “A model for the runout analysis of rapid flow slides, debris flows, and avalanches” . Canadian Geotechnical Journal , Vol. 32 : 610 – 623 .
   Web of Science ®Google Scholar
• Hutchinson , J. N. 1896 . “A sliding-consolidation model for flow slides” . Canadian Geotechecnical Journal , Vol. 23 : 115 – 126 .
   Web of Science ®Google Scholar
• Hutter , K. and Koch , T. 1991 . “Motion of a granular avalanche in an exponentially curved chute: experiments and theoretical predictions” . Phil. Trans. R. Soc. London , Vol. A ( 334 ) : 93 – 138 .
   Web of Science ®Google Scholar
• Issler , D. and Jóhannesson , T. 2010 . “Dynamically consistent entrainment and deposition rates in depth-averaged gravity mass flow models” (submitted for publication)
   Google Scholar
• Issler , D. and Pastor , M. 2011 . “Interplay of entrainment and rheology in snow avalanches—a numerical study” . Annals of Glaciology , Vol. 52 ( 58 ) : 143 – 147 .
   Web of Science ®Google Scholar
• Iverson , R. I. and Denlinger , R. P. 2001 . “Flow of variably fluidized granular masses across three dimensional terrain, 1. Coulomb mixture theory” . J. Geophys. Res. , Vol. 106 ( B1 ) : 537 – 552 .
   Web of Science ®Google Scholar
• King , J. P. 2001 . “The 2000 Tsing Shan Debris Flow” , Planning Division, Geotechnical Engineering Office, Civil Engineering and Development Department, The Government of the Hong Kong Special Administrative Region . Report LSR 3/2001
   Google Scholar
• John , Knill Sir . 2006 . Geotechnical Engineering Office, GEO REPORT N° 188. “Report on the Fei Tsui road landslide of 13 august 1995” , Geotechnical Engineering Office, Civil Engineering and Development Department, The Government of the Hong Kong Special Administrative Region .
   Google Scholar
• Laigle , D. and Coussot , P. 1997 . “Numerical modelling of mudflows” . Journal of Hydraulic Engineering, ASCE , Vol. 123 ( 7 ) : 617 – 623 .
   Web of Science ®Google Scholar
• Lewis , R. L. and Schrefler , B. A. 1998 . The Finite Element Method in the Static and Dynamic Deformation and Consolidation of Porous Media , John Wiley and Sons .
   Google Scholar
• Lucy , L. B. 1977 . “A numerical approach to the testing of fusion process” . Astronomical Journal , Vol. 82 : 1013 – 1024 .
   Web of Science ®Google Scholar
• McDougall , S. 2006 . A new continuum dynamic model for the analysis of extremely rapid landslide motion across complex 3D terrain , PhD Thesis, University of British Columbia .
   Google Scholar
• McDougall , S. and Hungr , O. 2004 . “A Model for the Analysis of Rapid Landslide Motion across Three-Dimensional Terrain” . Canadian Geotechnical Journal , Vol. 41 ( 12 ) : 1084 – 1097 .
   Web of Science ®Google Scholar
• Monaghan , J. J. , Cas , R. F. , Kos , A. and Hallworth , M. 1999 . “Gravity currents descending a ramp in a stratified tank” . J. Fluid Mech. , Vol. 379 : 36 – 39 .
   Web of Science ®Google Scholar
• Monaghan , J. J. , Kos , A. and Issa , N. 2003 . “Fluid motion generated by impact” . Journal of Waterway, Port, Coastal, and Ocean Engineering ASCE , Vol. 129 : 250 – 259 .
   Web of Science ®Google Scholar
• Pastor , M. , Quecedo , M. , Fernández Merodo , J. A. , Herreros , M. I. , González , E. and Mira , P. 2002 . “Modelling tailing dams and mine waste dumps failures . Géotechnique , Vol. 52 ( 8 ) : 579 – 592 .
   Web of Science ®Google Scholar
• Pastor , M. , Quecedo , M. , González , E. , Herreros , I. , Fernández Merodo , J. A. and Mira , P. 2004 . “A simple approximation to bottom friction for Bingham fluid depth integrated models” . Journal of Hydraulic Engineering ASCE , Vol. 130 ( 2 ) : 149 – 155 .
   Web of Science ®Google Scholar
• Pastor , M. , Haddad , B. , Sorbino , G. and Cuomo , S. 2008 . “A depth integrated coupled SPH model for flow-like landslides and related phenomena” . Int. J. Num. Anal. Meth. Geomech. , Vol. 33 : 143 – 172 .
   Web of Science ®Google Scholar
• Pastor , M. , Blanc , T. and Pastor , M. J. 2009 . “A depth-integrated viscoplastic model for dilatant saturated cohesive-frictional fluidized mixtures: Application to fast catastrophic landslides” . J. Non-Newtonian Fluid Mech. , vol. 158 : 142 – 153 .
   Web of Science ®Google Scholar
• Quecedo , M. , Pastor , M. , Herreros , M. I. and Fernández. Merodo , J. A. 2004 . “Numerical modelling of the propagation of fast landslides using the Finite Element Method” . Int. J. Num. Meth. Eng. , vol. 59 ( 6 ) : 755 – 794 .
   Web of Science ®Google Scholar
• Quecedo , M. and Pastor , M. 2003 . “Finite element modelling of free surface flows on inclined and curved beds” . Journal of Computational Physics , vol. 189 : 45 – 62 .
   Web of Science ®Google Scholar
• Savage , S. B. and Hutter , K. 1991 . “The dynamics of avalanches of granular materials from initiation to runout. Part I: Analysis” . Acta Mechanica , vol. 86 : 201 – 223 .
   Web of Science ®Google Scholar
• Sossio , R. and Crosta , G. 2007 . “Thurwieser Rock avalanche” , In the Information package, Geotechnical Engineering Office, Civil Engineering and Development Department, The Government of the Hong Kong Special Administrative Region .
   Google Scholar
• Voellmy , A. 1955 . “Über die Zerstörungskraft von Lawinen” . Schweizerische Bauzeitung , vol. 73 : 212 – 285 .
   Google Scholar
• Zienkiewicz , O. C. , Chang , C. T. and Bettess , P. 1980 . “Drained, undrained, consolidating dynamic behaviour assumptions in soils” . Géotechnique , vol. 30 : 385 – 395 .
   Web of Science ®Google Scholar
• Zienkiewicz , O. C. and Shiomi , T. 1984 . “Dynamic behaviour of saturated porous media: the generalised Biot formulation and its numerical solution” . International Journal of Numerical and Analythical Methods in Geomechanics , vol. 8 : 71 – 96 .
   Web of Science ®Google Scholar
• Zienkiewicz , O. C. , Chan , A. H.C. , Pastor , M. , Paul , D. K. and Shiomi , T. 1990a . “Static and dynamic behaviour of soils: a rational approach to quantitative solutions. I. Fully saturated problems” . Proc. R. Soc. Lond. , vol. A 429 : 285 – 309 .
   Web of Science ®Google Scholar
• Zienkiewicz , O. C. , Xie , Y. M. , Schrefler , B. A. , Ledesma , A. and Bicanic , N. 1990b . “Static and dynamic behaviour of soils: a rational approach to quantitative solutions. II. Semi-saturated problems” . Proc. R. Soc. Lond. , vol. A ( 429 ) : 311 – 321 .
   Web of Science ®Google Scholar
• Zienkiewicz , O. C. , Chan , A. H.C. , Pastor , M. , Schrefler , B. A. and Shiomi , T. 2000 . Computational Geomechanics , John Wiley and Sons .
   Google Scholar