Probabilistic key block analysis of a mine ventilation shaft stability – a case study

References

• Ang , A.H.S. and Tang , W.H. 1984 . Probability Concepts in Engineering Planning and Design , Vol. II , New York : John Willey & Sons .
   Google Scholar
• Baecher , G.B. and Christian , J.T. 2003 . Reliability and Statistics in Geotechnical Engineering , New York : John Willey & Sons .
   Google Scholar
• Bafghi , A.R.Y. and Verdel , T. 2003 . The key-group method . Int. J. for Num. and Analy. Meth. In Geomechanics , 27 : 495 – 511 .
   Google Scholar
• Bafghi , A.R.Y. and Verdel , T. 2004 . The probabilistic key-group method . Int. J. for Num. and Analy. Meth. In Geomechanics , 28 : 899 – 917 .
   Google Scholar
• Chen , G. , Li , H. and Zhou , W. Analysis of block removability in rock excavation by probabilistic approach . Proceedings of the 1st Canada-US Rock Mechanics Symposium . pp. 159 – 166 .
   Google Scholar
• Chen , G. , Jia , Z. and Ke , J. 1997 . Probabilistic Analysis of Underground Excavation Stability . International Journal of Rock Mechanics and Mining Sciences , 34 ( 3–4 ) : 51.e1 – 51.e16 .
   Google Scholar
• Chen , G. , J , Ke. , Jia , Z. and Wang , W. 1998 . Probabilistic Analysis of Rock Slope Stability with First-order Approximation . International Journal of Surface Mining and Reclamation , 12 ( 1 ) : 11 – 17 .
   Google Scholar
• Chen , G. 1998 . Probabilistic Analysis of Rock Slope Stability with First-Order Approximation . International Journal of Surface Mining and Reclamation , 12 ( 1 ) : 11 – 17 .
   Google Scholar
• Chen , G. , Li , H. and Fang , X. Probabilistic analysis of the occurrence of a key block in a rock excavation and its stability . Proceedings of 40th U.S. Rock Mechanics Symposium . [CD-ROM]: ARMA/US RMS 05–856
   Google Scholar
• Fisher , R. 1953 . Dispersion on a sphere . Proceedings of the Royal Society of London , A217 : 295 – 350 .
   Google Scholar
• Goodman , R.E. Block theory and its application . Proceedings of 35th U.S. Rock Mechanics Symposium . pp. 3 – 15 .
   Google Scholar
• Goodman , R.E. and Shi , G.H. Geology and rock slope stability – application of the key block concept for rock slopes . Proceedings of 3rd International Conference on Stability in Surface Mining . pp. 347 – 373 .
   Google Scholar
• Goodman , R.E. and Shi , G.H. 1985 . Block Theory and Its Application to Rock Engineering , Englewood Cliffs , NJ : Prentice-Hall .
   Google Scholar
• Hatzor , Y. 1993 . The block failure likelihood: a contribution to rock engineering in blocky rock masses . International Journal of Rock Mechanics and Mining & Geomechanics , 30 ( 7 ) : 1591 – 1597 .
   Google Scholar
• Hatzor , Y. and Goodman , R.E. 1992 . “ Application of block theory and the critical key block concept in tunneling: two case histories ” . In Proc. Int. Soc. Rock Mech. Conf. on Fractured and Jointed Rock Masses 632 – 639 . California , Lake Tahoe
   Google Scholar
• Lin , D. and Fairhurst , C. 1988 . Static analysis of the stability of three-dimensional blocky systems around excavations in rock . Int. J. of Rock Mech. and Min. Sci. , 25 ( 3 ) : 139 – 147 .
   Google Scholar
• Mauldon , M. and Goodman , R.E. 1996 . Vector analysis of key-block rotations . Journal of Geotechnical Engineering , 122 ( 12 ) : 976 – 987 .
   Google Scholar
• Mauldon , M. , Chou , K. and Wu , Y. 1997 . Limit analysis of 2-D tunnel key-blocks . International Journal of Rock Mechanics and Mining Science , 34 ( 3-4 ) : 193.e1 – 193.e15 .
   Google Scholar
• Rethati , L. 1988 . Probabilistic Solutions in Geotechnics , New York : Elsevier Science .
   Google Scholar
• Piteau , D.R. and Martin , D.C. 1977 . Slope stability analysis and design based on probability techniques at Cassiar mine . CIM Bulletin , : 139 – 150 . March
   Google Scholar
• Rackwitz , R. 1976 . Practical probabilistic approach to design, Bulletin 112 , Paris , , France : Comite European du Beton .
   Google Scholar
• Shi , G. and Goodman , R.E. A new concept for support of underground and surface excavations in discontinuous rocks based on a keystone principle . Proceedings of 22nd U.S. Symposium on Rock Mechanics . pp. 290 – 296 .
   Google Scholar
• Shi , G. and Goodman , R.E. 1989 . The key blocks of unrolled joint traces in developed maps of tunnel walls . Int. J. for Num. and Analy. Meth. In Geomechanics , 13 ( 2 ) : 131 – 158 .
   Google Scholar
• Tyler , D.B. 1991 . “ Rockbolt support design using a probabilistic method of key block analysis ” . In Rock Mechanics as a Multidisciplinary Science , Edited by: Roegiers , J.C. 1037 – 104 . Rotterdam : Balkema .
   Google Scholar
• Tyler , D.B. , Trueman , R.T. and Pine , R.J. 1991 . “ Rockbolt support design using a Probabilistic method of key block analysis ” . In Rock Mechanics as a Multidisciplinary Science , Edited by: Roegiers , J.C. 1037 – 1047 . Rotterdam : Balkema .
   Google Scholar