Table of Contents
Journal of Geological Research
Volume 2015 (2015), Article ID 394761, 9 pages
http://dx.doi.org/10.1155/2015/394761
Research Article

Tunnel Probabilistic Structural Analysis Using the FORM

Amirkabir University of Technology, 424 Hafez Avenue, Tehran 15875-4413, Iran

Received 26 January 2015; Accepted 22 July 2015

Academic Editor: Umberta Tinivella

Copyright © 2015 Yousef Mirzaeian et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. K. Terzaghi, Rock Defects and Loads on Tunnel Supports, Graduate School of Engineering, Harvard University, 1946.
  2. D. U. Deer, “Technical description of rock cores for engineering purpose,” Rock Mechanics and Rock Engineering, vol. 1, pp. 17–22, 1964. View at Google Scholar
  3. G. Wickham, H. Tiedemann, and E. H. Skinner, “Support determinations based on geologic predictions,” in Proceedings of the North American Rapid Excavation & Tunneling Conference, pp. 43–64, 1972.
  4. Z. T. Bieniawski, Engineering Rock Mass Classifications: A Complete Manual for Engineers and Geologists in Mining, Civil, and Petroleum Engineering, John Wiley & Sons, 1989.
  5. N. Barton, R. Lien, and J. Lunde, “Engineering classification of rock masses for the design of tunnel support,” Rock Mechanics Felsmechanik Mécanique des Roches, vol. 6, no. 4, pp. 189–236, 1974. View at Publisher · View at Google Scholar · View at Scopus
  6. R. E. Goodman and G. Shi, Block Theory and Its Application to Rock Engineering, Prentice-Hall, 1985.
  7. G. Chen, “Probabilistic key block analysis of a mine ventilation shaft stability—a case study,” Geomechanics and Geoengineering, vol. 7, no. 4, pp. 255–262, 2012. View at Publisher · View at Google Scholar · View at Scopus
  8. D. Li, C. Zhou, W. Lu, and Q. Jiang, “A system reliability approach for evaluating stability of rock wedges with correlated failure modes,” Computers and Geotechnics, vol. 36, no. 8, pp. 1298–1307, 2009. View at Publisher · View at Google Scholar · View at Scopus
  9. B. K. Low and H. H. Einstein, “Reliability analysis of roof wedges and rockbolt forces in tunnels,” Tunnelling and Underground Space Technology, vol. 38, pp. 1–10, 2013. View at Publisher · View at Google Scholar · View at Scopus
  10. K. K. Phoon, Reliability-Based Design in Geotechnical Engineering: Computations and Applications, Taylor & Francis, 2008.
  11. A. M. Hasofer and N. C. Lind, An Exact and Invariant First-Order Reliability Format, Solid Mechanics Division, University of Waterloo, 1973.
  12. M. L. Shooman, Probabilistic Reliability: An Engineering Approach, McGraw-Hill, New York, NY, USA, 1968.
  13. R. Y. Rubinstein, Simulation and the Monte Carlo Method, Wiley, New York, NY, USA, 1981.
  14. B. H. G. Brady and J. W. Bray, “The boundary element method for determining stresses and displacements around long openings in a triaxial stress field,” International Journal of Rock Mechanics and Mining Sciences and, vol. 15, no. 1, pp. 21–28, 1978. View at Publisher · View at Google Scholar · View at Scopus
  15. Rocscience, Unwedge Theory Manual—Factor of Safety Calculations, Rocscience Inc, http://www.rocscience.com/help/unwedge/webhelp/pdf_files/theory/unwedge_theory.pdf.
  16. J. H. Curran, B. Corkum, and R. E. Hammah, “Three-dimensional analysis of underground wedges under the influence of stresses,” in Proceedings of the Gulf Rocks Conference, pp. 449–466, Elsevier Science, June 2004.
  17. R. H. Byrd, M. E. Hribar, and J. Nocedal, “An interior point algorithm for large-scale nonlinear programming,” SIAM Journal on Optimization, vol. 9, no. 4, pp. 877–900, 1999. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus