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Study of Falling Rocks Using Discrete Element Method

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Processes in GeoMedia—Volume I

Abstract

Investigation of rockfalls motion to estimate affected area and hazard effects is very important. The importance of studying of such phenomena is determined by a number of reasons, among them the danger to human life in the relevant territories. Mathematical and computer modeling methods allow to estimate the influence of the slope geometry (the angle of the slope and the height of the slope) on the distance of the run after rockfalls. This paper presents the results of modeling of the rocks motion along the slope that is attached to a horizontal section. We obtained the results of modeling using the discrete element method for different values of the angle of the slope and the height of the slope. The results of modeling were compared with the experimental data. In general, the model, based on the discrete element method, satisfactorily describes the experiments of the falling dolomite rock in the investigated range of the angle of the slope and the height of the slope. The results of calculations of the distance of the run after rockfalls are overestimated in comparison with the experimental data. The distance of the run after rockfall increases almost linearly with the angle of the slope. The difference between the results of calculations and experiments increases with the increasing of the height of the slope. The difference also increases with the increasing of the angle of the slope in the case of the high value of the height of the slope. We concluded, that the model, based on the discrete element method, can be used to simulate rockfalls.

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References

  • Chen G, Zheng L, Zhang Y, Wu J (2013) Numerical simulation in rockfall analysis: a close comparison of 2-D and 3-D DDA. Rock Mech Rock Eng 46:527–541

    Article  Google Scholar 

  • Crowe CT, Schwarzkopf JD, Sommerfeld M, Tsuji Y (2012) Multiphase flows with droplets and particles, 2nd edn. CRC Press, Taylor and Francis Group, New York

    Google Scholar 

  • Di Renzo A, Di Maio FP (2004) Comparison of contact-force models for the simulation of collisions in DEM-based granular flow codes. Chem Eng Sci 59:525–541

    Article  Google Scholar 

  • Hashemnia K, Pourandi S (2018) Study the effect of vibration frequency and amplitude on the quality of fluidization of a vibrated granular flow using discrete element method. Powder Technol 327:335–345

    Article  Google Scholar 

  • Hungr O (1995) A model for the runout analysis of rapid flow slides, debris flows and avalanches. Can Geotech J 32(4):610–623

    Article  Google Scholar 

  • Kusraev A, Minasjan D, Orlova N, Pantileev D, Hubezhty Sh (2016) Verification of the model of rockfall using the discrete element method. Geol Geophys South Russia 4:83–93

    Google Scholar 

  • LIGGGHTS Open Source Discrete Element Method Particle Simulation Code, http://www.liggghts.com, last accessed 2018/07/13

  • Luuk KA (2003) Dorren: a review of rockfall mechanics and modeling approaches. Prog Phys Geogr 27(1):69–87

    Article  Google Scholar 

  • Makse H, Gland N, Johnson D, Schwartz L (2004) Granular packings: nonlinear elasticity, sound propagation, and collective relaxation dynamics. Phys Rev E 70(6):061302

    Article  Google Scholar 

  • Norouzi H, Zarghami R, Sotudeh-Gharebagh R, Mostoufi N (2016) Coupled CFD-DEM modeling. Wiley, West Sussex, United Kingdom

    Book  Google Scholar 

  • Orlova N, Kamenetskii E (2018) Verification of rock falls model using the continuum approach. Sustain Dev Mt Territ 10(1):7–13

    Article  Google Scholar 

  • Orlova N, Volik M (2016) Mathematical modeling of the motion of rockfall using the continuum approach. Proceedings of the universities. North Caucasus region. Nat Sci 3:20–24

    Google Scholar 

  • Orlova N, Volik M (2017) Investigation of the influence of restitution coefficient on the results of the rockfall modeling. Process Geo-environ 4:693–699

    Google Scholar 

  • Rammer W, Brauner M, Dorren L, Berger F, Lexer M (2010) Evaluation of a 3-D rockfall module within a forest patch model. Nat Hazards Earth Syst Sci 10:669–711

    Article  Google Scholar 

  • Shi GH, Goodman RE (1985) Two-dimensional discontinuous deformation analysis. Int J Numer Anal Meth Geomech 9(6):541–556

    Article  Google Scholar 

  • Smith S, Faulkner D (2010) Laboratory measurements of the frictional properties of the Zuccale low-angle normal fault, Elba Island, Italy. J Geophys Res 115:B02407. https://doi.org/10.1029/2008JB006274

    Article  Google Scholar 

  • Stevens AB, Hrenya CM (2005) Comparison of soft-sphere models to measurements of collision properties during normal impacts. Powder Technol 154:99–109

    Article  Google Scholar 

  • Wei F, Kaiheng H, Lopez J, Peng C (2003) Method and its application of the momentum model for debris flow risk zoning. Chin Sci Bull 48(6):594–598

    Article  Google Scholar 

  • Xiang L, Shuyan W, Huilin L, Goudong L, Juhui C, Yikun L (2010) Numerical simulation of particle motion in vibrated fluidized beds. Powder Technol 197:25–35

    Article  Google Scholar 

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Correspondence to N. S. Orlova .

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Orlova, N.S., Volik, M.V. (2020). Study of Falling Rocks Using Discrete Element Method. In: Olegovna, C. (eds) Processes in GeoMedia—Volume I. Springer Geology. Springer, Cham. https://doi.org/10.1007/978-3-030-38177-6_9

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