Geosciences Journal

, Volume 20, Issue 4, pp 539–549 | Cite as

Numerical analysis on scale effect of elasticity, strength and failure patterns of jointed rock masses

  • Peitao Wang
  • Tianhong Yang
  • Tao Xu
  • Meifeng Cai
  • Changhong Li
Article
  • 307 Downloads

Abstract

It is of great importance to study the failure process and scale effect of jointed rock mass in the field of rock mechanics and mining engineering. In the present paper, initially the uniaxial compression test on granite was performed and acoustic emission (AE) sequence was acquired during the compression process in laboratory. Results from numerical simulations using the particle flow code in two dimensions (PFC2D) were presented, and compared with experimental measurements. It was observed that the approach was reasonably good in predicting the real response of granite rock samples. The mechanical parameter of joint model was then calibrated based on PFC2D model with experimental results. Finally the mechanical properties of complex rocks with discrete fracture network (DFN) were studied and scale effects on the elasticity and strength were then investigated. The result showed that the failure pattern was similar when the ratio of joint contact bond strength (both shear and normal) to rock contact bond strength was in the range of 3~9%. The elastic modulus and strength parameters were changed with the sizes of rock sample for DFN models. Moreover, the variation of rock failure pattern under different sizes was also studied and finally the representative elementary volume (REV) size of the considered rock mass was estimated to be 9 × 9 m. It is suggested that the failure pattern analysis should be considered in the REV study of jointed rock mass.

Keywords

jointed rock mass scale effect representative elementary volume failure pattern particle flow code 

References

  1. Bahaaddini, M., Hagan, P.C., Mitra, R., and Hebblewhite, B.K., 2014, Scale effect on the shear behaviour of rock joints based on a numerical study. Engineering Geology, 181, 212–223.CrossRefGoogle Scholar
  2. Cho, J.W., Kim, H., Jeon, S., and Min, K.B., 2012, Deformation and strength anisotropy of Asan gneiss, Boryeong shale, and Yeoncheon schist. International Journal of Rock Mechanics and Mining Sciences, 50, 158–169.CrossRefGoogle Scholar
  3. Cho, N., Martin, C.D., and Sego, D.C., 2007, A clumped particle model for rock. International Journal of Rock Mechanics and Mining Sciences, 44, 997–1010.CrossRefGoogle Scholar
  4. Cundall, P.A. and Strack, O.D., 1979, A discrete numerical model for granular assemblies. Geotechnique, 29, 47–65.CrossRefGoogle Scholar
  5. Dershowitz, W.S. and Einstein, H.H., 1988, Characterizing rock joint geometry with joint system models. Rock Mechanics and Rock Engineering, 21, 21–51.CrossRefGoogle Scholar
  6. Fakhimi, A. and Gharahbagh, E.A., 2011, Discrete element analysis of the effect of pore size and pore distribution on the mechanical behavior of rock. International Journal of Rock Mechanics and Mining Sciences, 48, 77–85.CrossRefGoogle Scholar
  7. Funatsu, T. and Shimizu, N., 2011, Numerical simulation of crack propagation in rock by clumped particle model. In: Qian, Q.H. and Zhou, Y.X. (eds.), Proceedings of the 12th ISRM International Congress on Rock Mechanics: Harmonising rock engineering and the environment, Beijing, Oct. 18–21, p. 387–390.CrossRefGoogle Scholar
  8. Hazzard, J.F. and Young, R.P., 2000, Simulation acoustic emissions in bonded-particle models of rock. International Journal of Rock Mechanics and Mining Sciences, 37, 867–872.CrossRefGoogle Scholar
  9. Holt, R.M., Kjølaas, J., Larsen, I., Li, L., Pillitteri, A.G., and Sønstebø, E.F., 2005, Comparison between controlled laboratory experiments and discrete particle simulations of the mechanical behaviour of rock. International Journal of Rock Mechanics and Mining Sciences, 42, 985–995.CrossRefGoogle Scholar
  10. Itasca Consulting Group, Inc., 2004, Particle Flow Code in 2-Dimensions, Command Reference version 3.1. Minneapolis. Itasca Consulting Group, Inc., 2004, Particle Flow Code in 2-Dimensions, Theory and Background v3.1. Minneapolis.Google Scholar
  11. Ivars, D.M., Pierce, M.E., Darcel, C., Montes, J.R., Potyondy, D.O., Young, R.P., and Cundall, P.A., 2011, The synthetic rock mass approach for jointed rock mass modeling. International Journal of Rock Mechanics and Mining Sciences, 48, 219–244.CrossRefGoogle Scholar
  12. Lee, S.E. and Jeong, G.C., 2015, Numerical analysis on micro-damage in bisphere model of granitic rock. Geosciences Journal, 19, 135–144.CrossRefGoogle Scholar
  13. Pariseau, W.G., Puri, S., and Schmelter, S.C., 2008, A new model for effects of impersistent joint sets on rock slope stability. International Journal of Rock Mechanics and Mining Sciences, 45, 122–131.CrossRefGoogle Scholar
  14. Park, B. and Min, K., 2012, Discrete element modelling of shale as a transversely isotropic rock. 7th Asian Rock Mehcanics Symposium on the Present and Future of Rock Engineering, Seoul, Oct. 15–19, p. 336–342.Google Scholar
  15. Potyondy, D.O. and Cundall, P.A., 2004, A bonded-particle model for rock. International Journal of Rock Mechanics and Mining Sciences, 41, 1329–1364.CrossRefGoogle Scholar
  16. Sarfarazi, V., Ghazvinian, A., Schubert, W., Blumel, M., and Nejati, H.R., 2014, Numerical simulation of the process of fracture of echelon rock joints. Rock Mechanics and Rock Engineering, 47, 1355–1371.CrossRefGoogle Scholar
  17. Wang, C., Tannant, D.D., and Lilly, P.A., 2003, Numerical analysis of the stability of heavily jointed rock slopes using PFC2D. International Journal of Rock Mechanics and Mining Sciences, 40, 415–424.CrossRefGoogle Scholar
  18. Wang, P.T., Yang, T.H., Yu, Q.L., Liu, H.L., and Zhang, P.H., 2013, Characterization on jointed rock masses based on PFC2D. Frontiers of Structural and Civil Engineering, 7, 32–38.CrossRefGoogle Scholar
  19. Wang, P.T., Yang, T.H., Xu, T., Yu, Q.L., and Liu, H.L., 2013, A Model of Anisotropic Property of Seepage and Stress for Jointed Rock Mass. Journal of Applied Mathematics, 2013, Article ID420536, 19 p.Google Scholar
  20. Wasantha, P.L.P., Ranjith, P.G., Xu, T., Zhao, J., and Yan, Y.L., 2014, A new parameter to describe the persistency of non-persistent joints. Engineering Geology, 181, 71–77.CrossRefGoogle Scholar
  21. Xu, T., Ranjith, P.G., Wasantha, P.L.P., Zhao, J., Tang, C.A., and Zhu, W.C., 2013, Influence of the geometry of partially-spanning joints on mechanical properties of rock in uniaxial compression. Engineering Geology, 167, 134–147.CrossRefGoogle Scholar
  22. Yoon, J., 2007, Application of experimental design and optimization to PFC model calibration in uniaxial compression simulation. International Journal of Rock Mechanics and Mining Sciences, 44, 871–889.CrossRefGoogle Scholar
  23. Zhang, X.P. and Wong, L.N.Y., 2013, Crack initiation, propagation and coalescence in rock-like material containing two flaws, a numerical study based on bonded-particle model approach. Rock Mechanics and Rock Engineering, 46, 1001–1021.CrossRefGoogle Scholar
  24. Zhao, Y.L., Wan, W., Wang, W.J., Wang, M., and Peng, Q.Y., 2013, Fracture experiments on ordered multi-crack body in rock-like materials under uniaxial compression and numerical simulation of wing cracks. Chinese Journal of Geotechnics and Engineering, 35, 2097–2109. (in Chinese)Google Scholar

Copyright information

© The Association of Korean Geoscience Societies and Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  • Peitao Wang
    • 1
    • 2
  • Tianhong Yang
    • 3
  • Tao Xu
    • 3
  • Meifeng Cai
    • 1
  • Changhong Li
    • 2
  1. 1.School of Civil and Environmental EngineeringUniversity of Science and Technology BeijingBeijingChina
  2. 2.Key Laboratory of High-Efficient Mining and Safety of Metal Mines (Ministry of Education of China)University of Science and Technology BeijingBeijingChina
  3. 3.School of Resources and Civil EngineeringNortheastern UniversityShenyangChina

Personalised recommendations