Journal of Mountain Science

, Volume 14, Issue 8, pp 1550–1562 | Cite as

Rolling motion behavior of rockfall on gentle slope: an experimental approach

Article
  • 79 Downloads

Abstract

The effects of slope surface material, slope gradient, block shape, and block mass conditions on rockfall rolling velocity were estimated with orthogonal test approach. Visual analysis shows that the importance of the factors is slope surface material > slope gradient > block shape > block mass. All the factors except block mass have the F value greater than the critical value, suggesting that these three factors are the key factors affecting the rockfall rolling velocity. Factor interaction analysis shows that the effect of the slope gradient relies largely on the slope surface conditions, and the block shape has little influence if the slope gradient is larger than a critical value. An empirical model considering the three key factors is proposed to estimate the rolling velocity, of which the error is limited to 5% of the testing value. This model is validated by 73 field tests, and the prediction shows excellent correlation with the site test. Thus, this analysis can be used as a tool in the rockfall behavior analysis.

Keywords

Rockfall Rolling motion Experiment approach Gentle slope Orthogonal test 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Notes

Acknowledgements

This study was partially supported by the National Science Foundation of China (Grant No. 41572302) and the Funds for Creative Research Groups of China (Grant No. 41521002).

References

  1. Abellán A, Vilaplana JM, Martínez J (2006) Application of a longrange terrestrial laser scanner to a detailed rockfall study at Vall de Núria (Eastern Pyrenees, Spain). Engineering Geology 88(3–4): 136–148. DOI: 10.1016/j.enggeo.2006.09. 012CrossRefGoogle Scholar
  2. Apostolou E, Agioutantis Z, Steiakakis C (2015) Integrated evaluation of rockfall triggering mechanism for road monitoring. Engineering geology for society and territory-volume 2: Landslide processes, Springer International Publishing, Cham, pp 1975–1978Google Scholar
  3. Asteriou P, Saroglou H, Tsiambaos G (2012) Geotechnical and kinematic parameters affecting the coefficients of restitution for rock fall analysis. International Journal of Rock Mechanics and Mining Sciences 54: 103–113. DOI: 10.1016/j.ijrmms.2012.05.029CrossRefGoogle Scholar
  4. Asteriou P, Tsiambaos G (2016) Empirical model for predicting rockfall trajectory direction. Rock Mechanics and Rock Engineering 49(3): 927–941. DOI: 10.1007/s00603-015-0798-7CrossRefGoogle Scholar
  5. Azzoni A, de Freitas MH (1995) Experimentally gained parameters, decisive for rock fall analysis. Rock Mechanics and Rock Engineering 28(2): 111–124. DOI: 10.1007/BF01 020064CrossRefGoogle Scholar
  6. Basson FRP (2012) Rigid body dynamics for rock fall trajectory simulation. 46th US Rock Mechanics/Geomechanics Symposium, American Rock Mechanics AssociationGoogle Scholar
  7. Bourrier F, Berger F, Tardif P, et al. (2012) Rockfall rebound: Comparison of detailed field experiments and alternative modelling approaches. Earth Surface Processes and Landforms 37(6): 656–665. DOI: 10.1002/esp.3202CrossRefGoogle Scholar
  8. Bozzolo D, Pamini R (1986) Simulation of rock falls down a valley side. Acta Mechanica 63(1–4): 113–130. DOI: 10.1007/BF01182543CrossRefGoogle Scholar
  9. Chang YL, Chen CY, Xiao AY (2011) Non-circular rock-fall motion behavior modeling by the eccentric circle model. Rock Mechanics and Rock Engineering 44(4): 469–482. DOI: 10.1007/s00603-010-0124-3CrossRefGoogle Scholar
  10. Chau KT, Wong RHC, Liu J, et al. (1999) Shape effects on the coefficient of restitution during rockfall impacts, in: 9th International Congress on Rock Mechanics, Paris, France pp 541–544.Google Scholar
  11. Chau KT, Wong RHC, Wu JJ (2002). Coefficient of restitution and rotational motions of rockfall impacts. International Journal of Rock Mechanics and Mining Sciences 39: 69–77. DOI: 10.1016/S1365-1609(02)00016-3CrossRefGoogle Scholar
  12. Chau TK, Wong CRH, Liu J, et al. (2003) Rockfall hazard analysis for hong kong based on rockfall inventory. Rock Mechanics and Rock Engineering 36(5): 383–408. DOI: 10.1007/s00603-002-0035-zCrossRefGoogle Scholar
  13. Chen H, Chen RH, Huang TH (1994): An application of an analytical model to a slope subject to rockfall. Bulletin of the Association of Engineering Geologists 31(4): 447–458. DOI: 10.2113/gseegeosci.xxxi.4.447Google Scholar
  14. Chen GQ, Zheng L, Zhang YB, et al. (2013) Numerical simulation in rockfall analysis: A close comparison of 2-D and 3-D DDA. Rock Mechanics and Rock Engineering 46(3): 527–541. DOI: 10.1007/s00603-012-0360-9CrossRefGoogle Scholar
  15. Copons R, Vilaplana JM, Linares R (2009) Rockfall travel distance analysis by using empirical models (Sola d’Andorra la Vella, Central Pyrenees). Natural Hazards & Earth System Sciences 9(6): 2107–2118. DOI: 10.5194/nhess-9-2107-2009CrossRefGoogle Scholar
  16. Crosta GB, Agliardi F (2004) Parametric evaluation of 3D dispersion of rockfall trajectories. Natural Hazards and Earth System Science 4(4): 583–598. DOI: 10.5194/nhess-4-583-2004CrossRefGoogle Scholar
  17. Dorren LK (2003) A review of rockfall mechanics and modelling approaches. Progress in Physical Geography 27(1): 69–87. DOI: 10.1191/0309133303pp359raCrossRefGoogle Scholar
  18. Dorren LKA, Seijmonsbergen AC (2003) Comparison of three GIS-based models for predicting rockfall runout zones at a regional scale. Geomorphology 56(1–2): 49–64. DOI: 10.1016/S0169-555X(03)00045-XCrossRefGoogle Scholar
  19. Dorren LKA, Berger F, Putters US (2006) Real-size experiments and 3-D simulation of rockfall on forested and non-forested slopes. Natural Hazards and Earth System Science 6(1): 145–153. DOI: 10.5194/nhess-6-145-2006CrossRefGoogle Scholar
  20. Evans SG, Hungr O (1993) The assessment of rockfall hazard at the base of talus slopes. Canadian Geotechnical Journal 30: 620–636. DOI: 10.1139/t93-054CrossRefGoogle Scholar
  21. Ferrari F, Thoeni K, Giacomini A, et al. (2016) A rapid approach to estimate the rockfall energies and distances at the base of rock cliffs. Georisk: Assessment and Management of Risk for Engineered Systems and Geohazards 10(3): 179–199. DOI: 10.1080/17499518.2016.1139729Google Scholar
  22. Fityus SG, Giacomini A, Buzzi O (2013) The significance of geology for the morphology of potentially unstable rocks. Engineering Geology 162: 43–52. DOI: 10.1016/j.enggeo.2013. 05.007CrossRefGoogle Scholar
  23. Fityus SG, Giacomini A, Thoeni K (2015) The Influence of Shape on the Inherent Rolling Potential of Loose Rocks. Engineering Geology for Society and Territory 2: 2045–2048. DOI: 10.1007/978-3-319-09057-3_364CrossRefGoogle Scholar
  24. Fan XY, Tian SJ, Zhang YY (2016) Mass-front velocity of dry granular flows influenced by the angle of the slope to the runout plane and particle size gradation. Journal of Mountain Science 13(2): 234–245. DOI: 10.1007/s11629-014-3396-3CrossRefGoogle Scholar
  25. Giani G, Giacomini A, Migliazza M, et al. (2004) Experimental and Theoretical Studies to Improve Rock Fall Analysis and Protection Work Design. Rock Mechanics and Rock Engineering 37(5): 369–389. DOI: 10.1007/s00603-004-0027-2CrossRefGoogle Scholar
  26. Glover J, Schweizer A, Christen M, et al. (2012) Numerical investigation of the influence of rock shape on rockfall trajectory. General Assembly Conference Abstracts 14: EGU2012-11022-1Google Scholar
  27. Guzzetti F, Reichenbach P, Wieczorek GF (2003) Rockfall hazard and risk assessment in the yosemite valley, california, USA. Nat Hazard Earth Sys 3(6): 491–503. DOI: 10.5194/nhess-3-491-2003CrossRefGoogle Scholar
  28. Huang RQ, Liu WH, Zhou JP, et al. (2007) Rolling tests on movement characteristics of rock block. Chines Journal of Geotechnical Engineering 29: 1296–1302. (In Chinese)Google Scholar
  29. Jaboyedoff M, Baillifard F, Bardou E, et al. (2004) The effect of weathering on alpine rock instability. Quarterly Journal of Engineering Geology and Hydrogeology 37(2): 95–103. DOI: 10.1144/1470-9236/03-046CrossRefGoogle Scholar
  30. Jaboyedoff M, Dudt JP, Labiouse V (2005). An attempt to refine rockfall hazard zoning based on the kinetic energy, frequency and fragmentation degree. Natural Hazards and Earth System Science 5(5): 621–632. DOI: 10.5194/nhess-5-621-2005CrossRefGoogle Scholar
  31. Jomelli V, Francou B (2000) Comparing the characteristics of rockfall talus and snow avalanche landforms in an Alpine environment using a new methodological approach: Massif des Ecrins, French Alps. Geomorphology 35(3–4): 181–192. DOI: 10.1016/S0169-555X(00)00035-0CrossRefGoogle Scholar
  32. Kirkby MJ, Statham I (1975) Surface stone movement and scree formation. Journal of Geology 83(3): 349–362. DOI: 10.1086/628097CrossRefGoogle Scholar
  33. Labiouse V, Heidenreich B (2009) Half-scale experimental study of rockfall impacts on sandy slopes. Natural Hazards and Earth System Science 9(6): 1981–1993. DOI: 10.5194/nhess-9-1981-2009CrossRefGoogle Scholar
  34. Lan HX, Martin CD, Lim CH (2007) Rockfall analyst: A Gis extension for three-dimensional and spatially distributed rockfall hazard modeling. Computers & Geosciences 33(2): 262–279. DOI: 10.1016/j.cageo.2006.05.013CrossRefGoogle Scholar
  35. Lan HX, Martin CD, Zhou CH, et al. (2010) Rockfall hazard analysis using Lidar and spatial modeling. Geomorphology 118(1–2): 213–223. DOI: 10.1016/j.geomorph.2010.01.002CrossRefGoogle Scholar
  36. Leine RI, Schweizer A, Christen M, et al. (2014) Simulation of rockfall trajectories with consideration of rock shape. Multibody System Dynamics 32(2): 241–271. DOI: 10.1007/s11044-013-9393-4CrossRefGoogle Scholar
  37. Ma GC, Matsuyama H, Nishiyama S, et al. (2011) Practical studies on rockfall simulation by DDA. Journal of Rock Mechanics and Geotechnical Engineering 3(1): 57–63. DOI: 10.3724/SP.J.1235.2011.00057CrossRefGoogle Scholar
  38. Okura Y, Kitahara H, Sammori T, et al. (2000). The effects of rockfall volume on runout distance. Engineering Geology 58(2): 109–124. DOI: 10.1016/S0013-7952(00)00049-1CrossRefGoogle Scholar
  39. Paronuzzi P (2009) Rockfall-induced block propagation on a soil slope, northern Italy. Environmental geology 58: 1451–1466. DOI: 10.1007/s00254-008-1648-7CrossRefGoogle Scholar
  40. Pei XJ, Huang RQ, Pei Z, et al. (2011) Analysis on the movement characteristics of rolling rock on slope caused by intensities earthquake Journal of Engineering Geology 19(4): 498–504. (In Chinese)Google Scholar
  41. Pei XJ, Liu Y, Wang DP (2016) Study on the Energy Dissipation of Sandy Soil Cushions on the Rock-shed Under Rockfall Impact Load Journal of Sichuan University ( Engineering Science Edition) 48(1): 15–22. (In Chinese)Google Scholar
  42. Pellicani R, Spilotro G, Van Westen CJ (2016) Rockfall trajectory modeling combined with heuristic analysis for assessing the rockfall hazard along the Maratea SS18 coastal road (Basilicata, Southern Italy). Landslides 13(5): 985–1003. DOI: 10.1007/s10346-015-0665-3CrossRefGoogle Scholar
  43. Perret S, Dolf F, Kienholz H (2004) Rockfalls into forests: Analysis and simulation of rockfall trajectories — considerations with respect to mountainous forests in switzerland. Landslides 1(2): 123–130. DOI: 10.1007/s10346-004-0014-4CrossRefGoogle Scholar
  44. Piacentini D, Soldati M (2008) Application of empiric models for the analysis of rock-fall runout at a regional scale in mountain areas: Examples from the Dolomites and the northern Apennines (Italy). Geografia Fisica E Dinamicca Quaternaria 31(2): 215–223.Google Scholar
  45. Ritchie AM (1963) Evaluation of rock fall, its control. HRB, Highway Research Record (17): 13–28.Google Scholar
  46. Saroglou H, Marinos V, Marinos P, et al. (2012) Rockfall hazard and risk assessment: An example from a high promontory at the historical site of monemvasia, greece. Natural Hazards and Earth System Sciences 12(6): 1823–1836. DOI: 10.5194/nhess-12-1823-2012CrossRefGoogle Scholar
  47. Sass O, Krautblatter M (2007) Debris flow-dominated and rockfall-dominated talus slopes: Genetic models derived from GPR measurements. Geomorphology 86(1–2): 176–192. DOI: 10.1016/j.geomorph.2006.08.012CrossRefGoogle Scholar
  48. Selby MJ (1982) Hillslope materials and processes. New York: Oxford University PressGoogle Scholar
  49. Spadari M, Giacomini A, Buzzi O, et al. (2012). In situ rockfall testing in New South Wales Australia. International Journal of Rock Mechanics and Mining Sciences 49: 84–93. DOI: 10.1016/j.ijrmms.2011.11.013CrossRefGoogle Scholar
  50. Thoeni K, Giacomini A, Lambert C, et al. (2014) A 3D discrete element modelling approach for rockfall analysis with drapery systems. International Journal of Rock Mechanics and Mining Sciences 68: 107–119. DOI: 10.1016/j.ijrmms.2014.02. 008CrossRefGoogle Scholar
  51. Vijayakumar S, Yacoub T, Curran JH (2011) On the effect of rock size and shape in rockfall analyses. proceedings of the US rock mechanics symposium (ARMA) San Francisco CA, USAGoogle Scholar
  52. Volkwein A, Schellenberg K, Labiouse V, et al. (2011) Rockfall characterisation and structural protection-a review. Natural Hazards and Earth System Sciences 11(9): 2617–2651. DOI: 10.5194/nhess-11-2617-2011CrossRefGoogle Scholar
  53. Wang Y, Tonon F (2011) Discrete element modeling of rock fragmentation upon impact in rock fall analysis. Rock mechanics and rock engineering 44(1): 23–35. DOI: 10.1007/s00603-010-0110-9CrossRefGoogle Scholar
  54. Zvelebil J, Moser M (2001) Monitoring based time-prediction of rock falls: three case-histories. Physics and Chemistry of the Earth (B) 26(2): 159–167. DOI: 10.1016/S1464-1909(00)00234-3CrossRefGoogle Scholar

Copyright information

© Science Press, Institute of Mountain Hazards and Environment, CAS and Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  1. 1.State Key Laboratory of Geohazard Prevention and Geoenvironment ProtectionChengdu University of TechnologyChengduChina

Personalised recommendations