Application of a SPH depth-integrated model to landslide run-out analysis

Landslides

Volumn 11, Issue 5, 2014, Pages 793-812

  Pastor, M ^a   Blanc, T ^a   Haddad, B ^a   Petrone, S ^a   Sanchez Morles, M ^a   Drempetic, V ^a   Issler, D ^b   Crosta, G B ^c   Cascini, L ^d   Sorbino, G ^d   Cuomo, S ^d  

^a UNIVERSIDAD POLITÉCNICA DE MADRID   (Spain)

^b NORWEGIAN GEOTECHNICAL INSTITUTE   (Norway)

^c UNIVERSITY OF MILANO BICOCCA   (Italy)

^d UNIVERSITY OF SALERNO   (Italy)

Author keywords

Depth integrated models; Numerical modelling; Rheological modelling; Rock debris avalanches; Run out

Indexed keywords

FRICTION; INTEGRATION; LANDSLIDES; PORE PRESSURE; PRESSURE DISTRIBUTION; RISK ASSESSMENT; WATER;

ADDITIONAL EQUATIONS; DEBRIS AVALANCHES; DEPTH-INTEGRATED MODELS; HAZARD AND RISK ASSESSMENTS; PORE PRESSURE DISSIPATION; PORE-WATER PRESSURES; RHEOLOGICAL MODELLING; RUN OUTS;

NUMERICAL MODELS;

EID: 84920257466     PISSN: 1612510X     EISSN: 16125118     Source Type: Journal    
DOI: 10.1007/s10346-014-0484-y     Document Type: Article

References (102)

1. Agliardi F, Crosta GB (2003) High resolution three-dimensional numerical modelling of rockfalls. Int J Rock Mech Min Sci 40:455–471
2. Alonso EE, Pinyol NM (2010) Criteria for rapid sliding. I: a review of the Vaiont case. Eng Geol 114:198–210
3. Biot MA (1941) General theory of three-dimensional consolidation. J Appl Phys 12:155–164
4. Biot MA (1955) Theory of elasticity and consolidation for a porous anisotropic solid. J Appl Phys 26:182–185
5. Blanc T (2008) Numerical simulation of debris flows with the 2D SPH depth-integrated model. Master’s thesis, Institute for Mountain Risk Engineering, University of Natural Resources and Applied Life Sciences, Vienna, Austria
6. Bonet J, Kulasegaram S (2000) Correction and stabilization of smooth particle hydrodynamics methods with applications in metal forming simulations. Int J Numer Methods Eng 47:1189–1214
7. Bonet J, Rodríguez Paz MX (2005) A corrected smooth particle hydrodynamics formulation of the shallow-water equations. Comput Struct 83:1396–1410
8. Briukhanov AV, Grigorian SS, Miagkov SM, Plam MYa, Shurova IYa, Eglit ME, Yakimov YuL (1967) On some new approaches to the dynamics of snow avalanches. In: Ôura H (ed) Physics of Snow and Ice, Proc. Intl. Conf. Low Temperature Science, Sapporo, Japan, 1966. Institute of Low Temperature Science, Hokkaido University, Sapporo, Hokkaido, Japan. Vol. I, Part 2, pp. 1223–1241
9. Calvetti F, Crosta G, Tatarella M (2000) Numerical simulation of dry granular flows: from the reproduction of small-scale experiments to the prediction of rock avalanches. Riv Ital Geotecnica 2000:21–38
10. Cannon SH (1993) An empirical model for the volume-change behaviour of debris flows. In: Shen HW, Su ST, Wen F (eds) Proceedings of Hydraulic Engineering’93, San Francisco. American Society of Civil Engineers, New York, USA. Vol. 2, pp. 1768–1773
11. Carson MA, Kirkby MJ (1972) Hillslope form and process. Cambridge University Press, Cambridge, pp 13–17, 372–377
12. Chen H, Crosta GB, Lee CF (2006) Erosional effects on run-out of fast landslides, debris flows and avalanches: a numerical investigation. Geotechnique 56(5):305–322
13. Corominas J (1996) The angle of reach as a mobility index for small and large landslides. Can Geotech J 33:260–271
14. Coussy O (1995) Mechanics of porous media. Wiley, Chichester
15. Crosta GB, Cucchiaro S, Frattini P (2003) Validation of semi-empirical relationships for the definition of debris-flow behaviour in granular materials. In: Rickenmann D, Chen CI (eds) Debris-flow hazards mitigation: mechanics, prediction and assessment. Millpress, Rotterdam, pp 821–831
16. Crosta GB, Imposimato S, Roddeman DG (2008) Numerical modelling of entrainment/deposition in rock and debris-avalanches. Eng Geol 109(1–2):135–145. doi:10.1016/j.enggeo.2008.10.004
17. Crosta GB, Imposimato S, Roddeman D (2009) Numerical modeling of 2-D granular step collapse on erodible and nonerodible surface. J Geophys Res 114, F03020. doi:10.1029/2008JF001186
18. Daouadji A, Hicher P-Y (2010) An enhanced constitutive model for crushable granular materials. Int J Numer Anal Meth Geomech 34:555–580. doi:10.1002/nag.815
19. Dawson RF, Morgenstern NR, Stokes AW (1998) Liquefaction flowslides in Rocky Mountains coal mine waste dumps. Can Geotech J 35:328–343
20. de Boer R (2000) Theory of porous media. Springer, Berlin
21. Egashira S (1993) Mechanism of sediment deposition from debris flow (part 1). J Jpn Soc Erosion Control Eng 46(I), 186: 45–49 (in Japanese)
22. Egashira S, Honda N, Itoh T (2001) Experimental study on the entrainment of bed material into debris flow. Phys Chem Earth (C) 26(9):645–650
23. Evans SG, Hungr O (1993) The assessment of rockfall hazard at the base of talus slopes. Can Geotech J 30:620–636
24. Fannin RJ, Wise MP (2001) An empirical-statistical model for debris flow travel distance. Can Geotech J 38:982–994
25. Feldman J, Bonet J (2007) Dynamic refinement and boundary contact forces in SPH with applications in fluid flow problems. Int J Num Methods Eng 72:295–324. doi:10.1002/nme.2010
26. Fell R, Corominas J, Bonnard C, Cascini L, Leroi E, Savage WZ (2008) Guidelines for landslide susceptibility, hazard and risk zoning for land use planning. Jt Tech Comm Landslides Eng Slopes Eng Geol 102:85–98
27. Fernández-Merodo JA, Pastor M, Mira P, Tonni L, Herreros MI, Gonzalez E, Tamagnini R (2004) Modelling of diffuse failure mechanisms of catastrophic landslides. Comput Methods Appl Mech Eng 193:2911–2939
28. Gauer P, Issler D (2004) Possible erosion mechanisms in snow avalanches. Ann Glaciol 38:384–392
29. George DL, Iverson RM (2011) A two-phase debris-flow model that includes coupled evolution of volume fractions, granular dilatancy, and pore-fluid pressure. Ital J Eng Geol Environ. doi:10.4408/IJEGE.2011-03.B-047
30. Gingold RA, Monaghan JJ (1977) Smoothed particle hydrodynamics. Mon Not R Astron Soc 181:375–389
31. Gingold RA, Monaghan JJ (1982) Kernel estimates as a basis for general particle methods in hydrodynamics. J Comput Phys 46:429–453
32. Gray JMNT, Ancey C (2011) Multi-component particle-size segregation in shallow granular avalanches. J Fluid Mech 678:535–588
33. Gray JMNT, Thornton AR (2005) A theory for particle size segregation in shallow granular free-surface flows. Proc R Soc Math Phys Eng Sci 461(2057):1447–1473
34. Gray JMNT, Wieland M, Hutter K (1999) Gravity-driven free surface flow of granular avalanches over complex basal topography. Proc R Soc Lond 455:1841–1874
35. Guinot V (2003) Godunov-type schemes. An Introduction for Engineers. Elsevier, Amsterdam
36. Hu W, Yin ZY, Dano C, Hicher PY (2012) Numerical study of crushable granular materials. In: Deformation characteristics of Geomaterials: Proceedings of the Fifth International Symposium on Deformation Characteristics of Geomaterials, Is-Seoul 2011, 1–3 September 2011, Seoul, Korea. IOS Press, p. 404
37. Hungr O (1995) A model for the run-out analysis of rapid flow slides, debris flows, and avalanches. Can Geotech J 32:610–623
38. Hungr O, Evans SG (1988) Engineering evaluation of fragmental rockfall hazards. In: Bonnard (ed), 5th International Symposium on Landslides, Lausanne, Switzerland. A. A. Balkema, vol. 1, pp. 685–690
39. Hungr O, Evans SG (1996) Rock avalanche runout prediction using a dynamic model. In: Proceedings of the 7th International Symposium on Landslides, Trondheim, Norway, Vol. 17, p. 21
40. Hungr O, Evans SG (2004) Entrainment of debris in rock avalanches: an analysis of a long run-out mechanism. Geol Soc Am Bull 116(9/10):1240–1252
41. Hungr O, McDougall S, Bovis M (2005) Entrainment of material by debris flows. In: Jakob M, Hungr O (eds) Debris flow hazard and related phenomena, chapter 7. Springer and Praxis, Berlin, pp 135–158
42. Hunter G, Fell R (2003) Travel distance angle for rapid landslides in constructed and natural slopes. Can Geotech J 40:1123–1141
43. Hutchinson JN (1986) A sliding-consolidation model for flow slides. Can Geotech J 23:115–126
44. Issler D, Jóhannesson T (2011) Dynamically consistent entrainment and deposition rates in depth-averaged gravity mass flow models. Norwegian Geotechnical Institute, Oslo, Technical Note 20110112-00-1-TN
45. Iverson RM (2012) Elementary theory of bed-sediment entrainment by debris flows and avalanches. J Geophys Res 117, F03006. doi:10.1029/2011JF002189, 17 pp
46. Iverson RM, Denlinger RP (2001) Flow of variably fluidized granular masses across three dimensional terrain. 1. Coulomb mixture theory. J Geophys Res 106(B1):537–552
47. Iverson RM, Schilling SP, Vallance JW (1998) Objective delineation of lahar inhundation hazard zones. Geol Soc Am Bull 110:972–984
48. Iverson NR, Mann JE, Iverson RM (2010) Effects of soil aggregates on debris-flow mobilization: results from ring-shear experiments. Eng Geol 114(1):84–92
49. Jakob M (2005) Debris-flow hazard analysis. In: Jakob M, Hungr O (eds) Debris flow hazard and related phenomena, chapter 17. Springer and Praxis, Berlin
50. Jeyapalan JK, Duncan JM, Seed HB (1983) Investigation of flow failures of tailing dams. J Geotech Eng ASCE 109:172–189
51. Johnson CG, Kokelaar BP, Iverson RM, Logan M, LaHusen RG, Gray JMNT (2012) Grain-size segregation and levee formation in geophysical mass flows. J Geophys Res 117. doi:10.1029/2011JF002185, 23 p
52. Kikumoto M, Muir Wood D, Russell AR (2009) Particle crushing and deformation behaviour. Int. Symp. on Prediction and Simulation Methods for Geohazard Mitigation (IS-Kyoto), Kyoto, Japan, 2010, 50(4):547–563
53. King JP (2001a) The Tsing Shan debris flow and debris flood. Landslide study report LSR 2/2001, Geotechnical Engineering Office, Civil Engineering and Development Department, The Government of the Hong Kong Special Administrative Region, Hong Kong, People’s Republic of China, 216 pages
54. King JP (2001b) The 2000 Tsing Shan Debris Flow and Debris Flood. Landslide study report No. LSR 3/2001, Geotechnical Engineering Office, Civil Engineering and Development Department, The Government of the Hong Kong Special Administrative Region, Hong Kong, People’s Republic of China, 54 pages
55. Knill SJ, Geotechnical Engineering Office (2006) Report on the Fei Tsui road landslide of 13 August 1995. GEO REPORT no. 188. Geotechnical Engineering Office, Civil Engineering and Development Department, The Government of the Hong Kong Special Administrative Region, Hong Kong, People’s Republic of China
56. Körner HJ (1976) Reichweite und Geschwindigkeit von Bergstürzen und Fließschneelawinen. Rock Mech 8(4):225–256
57. Lewis RL, Schrefler BA (1998) The finite element method in the static and dynamic deformation and consolidation of porous media. Wiley, Hoboken
58. Lied K, Bakkehøi S (1980) Empirical calculations of snow-avalanche run-out distance based on topographic parameters. J Glaciol 26:165–177
59. Lucy LB (1977) A numerical approach to the testing of fusion process. Astron J 82:1013–1024
60. Mangeney A, Heirich P, Roche R (2000) Analytical solution for testing debris avalanche numerical models. Pure Appl Geophys 157:1081–1096
61. Mangeney A, Bouchut F, Thomas N, Vilotte JP, Bristeau MO (2007a) Numerical modeling of self-channeling granular flows and of their levee-channel deposits. J Geophys Res 112, F02017. doi:10.1029/2006JF000469
62. Mangeney A, Tsimring LS, Volfson D, Aranson IS, Bouchut F (2007b) Avalanche mobility induced by the presence of an erodible bed and associated entrainment. Geophys Res Lett 34, L22401
63. Marshall G, Méndez R (1981) Computational aspects of the random choice method for shallow water equations. J Comput Phys 39(1):1–21
64. Maunsell Geotechnical Services Ltd (2007) Detailed study of the 22 August 2005 landslide and distress on the natural hillside above Kwun Ping Road, Kwun Yam Shan, Shatin. Landslide study report LSR 5/2007, Geotechnical Engineering Office, Civil Engineering and Development Department, The Government of the Hong Kong Special Administrative Region, Hong Kong, People’s Republic of China
65. 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, Vancouver, B.C., Canada, 253 pages
66. McDougall S, Hungr O (2004) A model for the analysis of rapid landslide run out motion across three dimensional terrain. Can Geotech J 41:1084–1097
67. Monaghan JJ, Cas RF, Kos A, Hallworth M (1999) Gravity currents descending a ramp in a stratified tank. J Fluid Mech 379:36–39
68. Monaghan JJ, Kos A, Issa N (2003) Fluid motion generated by impact. J Waterw Port Coastal Ocean Eng 129:250–259
69. Norem H, Irgens F, Schieldrop B (1987) A continuum model for calculating avalanche velocities. In: Salm B, Gubler H (eds) Avalanche formation, movements and effects. IAHS Publication no. 162. IAHS, Institute of Hydrology, Wallingford, pp 363–379
70. Norem H, Irgens F, Schieldrop B (1989) Simulation of snow-avalanche flow in run-out zones. Ann Glaciol 13:218–225
71. Pastor M, Quecedo M, Fernández Merodo JA, Herreros MI, Gonzalez E, Mira P (2002) Modelling tailings dams and mine waste dumps failures. Geotechnique 52:579–591
72. Pastor M, Quecedo M, González E, Herreros I, Fernández Merodo JA, Mira P (2004) A simple approximation to bottom friction for Bingham fluid depth integrated models. J Hydraul Eng ASCE 130(2):149–155
73. Pastor M, Fernández Merodo JA, Herreros MI, Mira P, González E, Haddad B, Drempetic V (2008) Mathematical, constitutive and numerical modelling of catastrophic landslides and related phenomena. Rock Mech Rock Eng 41(1):85–132
74. Pastor M, Haddad B, Sorbino G, Cuomo S, Drempetic V (2009a) A depth-integrated coupled SPH model for flow-like landslides and related phenomena. Int J Numer Anal Methods Geomech 33:143–172
75. Pastor M, Blanc T, Pastor MJ (2009b) A depth-integrated viscoplastic model for dilatant saturated cohesive-frictional fluidized mixtures: application to fast catastrophic landslides. J Non-Newtonian Fluid Mech 158:142–153
76. Pelanti M, Bouchut F, Mangeney A (2008) A Roe-type scheme for two-phase shallow granular flows over variable topography. ESAIM Math Model Numer Anal 42(05):851–885
77. Peraire J, Vahdati M, Morgan K, Zienkiewicz OC (1987) Adaptive remeshing for compressible flow computations. J Comput Phys 72(2):449–466
78. Pinyol NM, Alonso EE (2010) Criteria for rapid sliding. II.: thermo-hydro-mechanical and scale effects in Vaiont case. Eng Geol 114:211–227
79. Pitman EB, Le L (2005) A two-fluid model for avalanche and debris flows. Philos Trans A Math Phys Eng Sci 363:1573–1601
80. Pudasaini SP (2012) A general two-phase debris flow model. J Geophys Res 117, F03010. doi:10.1029/2011JF002186
81. Pudasaini SP, Hutter K (2007) Avalanche dynamics: dynamics of rapid flows of dense granular avalanches. Springer, Berlin Heidelberg
82. Quecedo M, Pastor M (2003) Finite element modelling of free surface flows on inclined and curved beds. J Comput Phys 189(1):45–62
83. Quecedo M, Pastor M, Herreros MI (2004) Numerical modelling of impulse wave generated by fast landslides. Int J Numer Methods Eng 59:1633–1656. doi:10.1002/nme.934
84. Roche O, Montserrat S, Niño Y, Tamburrino A (2008) Experimental observations of water-like behavior of initially fluidized, dam break granular flows and their relevance for the propagation of ash-rich pyroclastic flows. J Geophys Res 113, B12203. doi:10.1029/2008JB005664
85. Russell AR, Wood DM, Kikumoto M (2009) Crushing of particles in idealised granular assemblies. J Mech Phys Solids 57(8):1293–1313
86. Savage SB, Hutter K (1989) The motion of a finite mass of granular material down a rough incline. J Fluid Mech 199:177–215
87. Savage SB, Hutter K (1991) The dynamics of avalanches of granular materials from initiation to run-out. Part I: analysis. Acta Mech 86:201–223
88. Schneider D, Huggel C, Haeberli W, Kaitna R (2011) Unravelling driving factors for large rock-ice avalanche mobility. Earth Surf Process Landf 36:1948–1966
89. Sosio R, Crosta G, Hungr O (2008) Complete dynamic modeling calibration for the Thurwieser rock avalanche (Italian Central Alps). Eng Geol 100(1–2):11–26
90. Sosio R, Crosta GB, Hungr O (2011) Numerical modeling of debris avalanche propagation from collapse of volcanic edifices. Landslides 9:315–334
91. Sosio R, Crosta GB, Chen JH, Hungr O (2012) Modelling rock avalanche propagation onto glaciers. Quat Sci Rev 47:23–40
92. Taboada A, Estrada N (2009) Rock-and-soil avalanches: theory and simulation. J Geophys Res 114, F03004. doi:10.1029/2008JF001072
93. Takahashi T, Nakagawa H, Harada T, Yamashiki Y (1992) Routing debris flows with particle segregation. J Hydraul Eng 118(11):1490–1507
94. Toro EF (2001) Shock-capturing methods for free-surface shallow flows. Wiley, New York
95. Trujillo L, Herrmann HJ (2003) Hydrodynamic model for particle size segregation in granular media. Phys A Stat Mech Appl 330(3):519–542
96. Vallance JW, SB Savage (2000) Particle segregation in granular flows down chutes. In: Rosato AD, Blackmore DL (eds) Solid mechanics and its applications. IUTAM Symposium on Segregation in Granular Flows. Springer, pp. 31–51
97. Voellmy A (1955) Über die Zerstörungskraft von Lawinen. Schweiz Bauzeitung 73:159–165, 212–217, 246–249, 280–285
98. Zienkiewicz OC, Shiomi T (1984) Dynamic behaviour of saturated porous media: the generalised Biot formulation and its numerical solution. Int J Numer Analytical Methods Geomech 8:71–96
99. Zienkiewicz OC, Chang CT, Bettess P (1980) Drained, undrained, consolidating dynamic behaviour assumptions in soils. Geotechnique 30:385–395
100. Zienkiewicz OC, Chan AHC, Pastor M, Paul DK, Shiomi T (1990a) Static and dynamic behaviour of soils: a rational approach to quantitative solutions. I. Fully saturated problems. Proc R Soc (London) A 429:285–309
101. Zienkiewicz OC, Xie YM, Schrefler BA, Ledesma A, Bicanic N (1990b) Static and dynamic behaviour of soils: a rational approach to quantitative solutions. II. Semi-saturated problems. Proc R Soc (London) A 429:311–321
102. Zienkiewicz OC, Chan AHC, Pastor M, Shrefler BA, Shiomi T (2000) Computational geomechanics. Wiley, Hoboken