Skip to main content
Log in

Analytical and Numerical Study on the Pillar Rockbursts Mechanism

  • Published:
Rock Mechanics and Rock Engineering Aims and scope Submit manuscript

Summary.

Based on cusp-type catastrophe theory, a sample rock–rock model for studying the pillar rockburst mechanism is presented in this paper. It is shown that the stiffness ratio, K, of the roof and floor to the pillar plays an important role in the outbreak of instability. Additionally, simple formulae for the deformation jump and the energy release are derived. Based on the assumption that there exists a proportional relationship between the number of microseismic events and microfractured elements, the theoretical microseismic event rate produced by the double rock sample, loaded in series under uniaxial compression, is obtained. Using a newly developed numerical code, RFPA2D, the progressive failure process and associated microseismic behavior of the twin rock samples are simulated, which shows that the spatial distribution of microseismic events develops progressively from disorder at the initial loading stage to order prior to the main shock. The numerically simulated results also confirm that a soft roof and floor promote an unstable failure or collapse of pillars, while a stiff roof and floor can lead to a stable failure of pillars. Additionally, the simulated results reproduce the deformation jump and the energy release that occur during a pillar rockburst. It is demonstrated that the proposed model properly simulates the pillar failure process.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • N. G. W. Cook (1976) ArticleTitleSeismicity associated with mining Eng. Geol. 1 99–122 Occurrence Handle10.1016/0013-7952(76)90015-6

    Article  Google Scholar 

  • J. Cubiu B. Shaw (1976) ArticleTitleThe geological implications of steady-state mechanisms in Catastrophe Theory Math. Geol. 8 657–661 Occurrence Handle10.1007/BF01031096

    Article  Google Scholar 

  • Gill, D. E., Abortion, M., Simon, R. A. (1993): Practical engineering approach to the evaluation of rockburst potential. In: Young, R. P. (ed.), Rockbursts and seismicity in mines. pp. 63–68.

  • S. Henley (1976) ArticleTitleCatastrophe Theory Model in geology Math. Geol. 8 649–655 Occurrence Handle10.1007/BF01031095

    Article  Google Scholar 

  • Hudson, J. A., Fairhurst C. (1969): Tensile strength, Weibull’s theory and a general statistical approach to rock failure. In: Proc., Civil Engineering Materials Conference, Southampton, pp. 901–904.

  • J. C. Jaeger N. G. W. Cook (1969) Fundamentals of Rock Mechanics Methuen London

    Google Scholar 

  • D. Krajcinovic D. Sumarac (1989) ArticleTitleA mesomechanic model for brittle deformation processes, Part I J. Appl. Mech. 56 51–62 Occurrence Handle10.1115/1.3176065

    Article  Google Scholar 

  • D. Krajicinovic M. A. G. Silva (1982) ArticleTitleStatistical aspects of the continuous damage theory Int. J. Solids Struct. 18 551–562 Occurrence Handle10.1016/0020-7683(82)90039-7

    Article  Google Scholar 

  • Lockner, D. A., Madden, T. R. (1991): A multiple-crack model of brittle fracture. J. Geophys. Res. 96(19), 623–19, 642.

    Google Scholar 

  • Lockner, D. A., Moore, D. E., Reches, Z. E. (1992): Microcrack interaction leading to shear fracture. In: Tillerson, J. R., Wawersik, W. R. (eds) Proc., 33rd Symposium on Rock mechanics, Balkema, Rotterdam, pp. 807–815.

  • C. D. Martin N. A. Chandler (1994) ArticleTitleThe progressive fracture of Lac du Bonnet granite Int. J. Rock Mech. Min. Sci. 31 IssueID6 643–659 Occurrence Handle10.1016/0148-9062(94)90005-1

    Article  Google Scholar 

  • J. R. Rice (1983) ArticleTitleConstitutive relation for fault slip and earthquake instability Pageoph 121 443–475

    Google Scholar 

  • Salamon, M. D. G. (1993): Some application of geomechanical modeling in rockburst and related research. In: Young, R. P. (ed.), Rockbursts and seismicity in mines. 297–309.

  • P. T. Saunders (1980) An introduction to Catastrophe Theory Cambridge University Press Cambridge

    Google Scholar 

  • C. A. Tang (1993) Catastrophe in rock unstable failure (in Chinese) China Coal Industry Publishing House Beijing 26–27

    Google Scholar 

  • C. A. Tang (1997) ArticleTitleNumerical simulation of progressive rock failure and associated seismicity Int. J. Rock Mech. Min. Sci. 34 249–262 Occurrence Handle10.1016/S0148-9062(96)00039-3

    Article  Google Scholar 

  • C. A Tang J. A. Hudson X. H. Xu (1993) Rock failure instability and related aspects of earthquake mechanisms China Coal Industry Beijing

    Google Scholar 

  • C. A. Tang Z. H. Chen X. H. Xu C. Li (1997) ArticleTitleA theoretical model of the Kaiser effect in rock Pure Appl. Geophys. 150 203–215 Occurrence Handle10.1007/s000240050073

    Article  Google Scholar 

  • Weibull, W. (1951): A statistical distribution function of wide applicability. J. Appl. Mech. 293–297.

  • Y.-Q. Yin G.-T. Zheng (1988) ArticleTitleA cusp-type catastrophic model of fault earthquakes Acta Geophys. Sin. 31 IssueID6 657–663

    Google Scholar 

  • M. H. Yu (1998) Double twin strength criterion and its application Science Press Beijing

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wang, S., Lam, K., Au, S. et al. Analytical and Numerical Study on the Pillar Rockbursts Mechanism. Rock Mech. Rock Engng. 39, 445–467 (2006). https://doi.org/10.1007/s00603-005-0075-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00603-005-0075-2

Navigation