Summary
The effect of long term rock deformation on lining pressure is considered using different concepts of rock behaviour. These include the conventional characteristic-line or convergence-confinement method, modified to allow for rock ageing, and lining-rock interaction methods using models of linear-viscoelastic, linear-elastic linear viscous, and linear elastic non-linear viscous rock behaviour. Calculations of lining pressures show that the former tends to underestimate, compared with the latter.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Brown, E.T., Bray, J.W., Ladanyi, B. and Hoek, E. (1983) Ground response curves for rock tunnels,Journal of Geotechnical Engineering, ASCE,109, 15–39.
Daemen, J.J.K. and Fairhurst, C. (1971) Influence of Failed Rock Properties on Tunnel Stability, inDynamic Rock Mechanics (edited by G.B. Clark), AIME, New York, pp. 855–75.
Deere, D.U., Peck, R.B., Monsees, J.B. and Schmidt, B. (1969) Design of tunnel liners and support systems. OHGT-DOT Report, Washington DC, 152 p.
Duddeck, H. (1979) Commentaires des règles fondamentales pour l'application de la méthode ‘convergence-confinement’,Tunnels et Ouvrages Souterrains,32, 82–86.
Einstein, H.H., Schwartz, C.W., Steiner, W., Balligh, M.M. and Levitt, R.E. (1980) Improved design for tunnel supports: analysis, method and ground structure behaviour: a review, Final Report, U.S. Dept. of Transportation, PB80-225329, 466 p.
Fairhurst, C. and Daemen, J.J.K. (1980) Practical inferences from research on the design of tunnel supports,Underground Space,4, 279–311.
Fritz, P. (1981)Numerische Erfassung Rheologischer Probleme in der Felsmechanik, Mitt. Nr. 47, Inst. für Strassen-, Eisenbahn- und Felsbau, ETH, Zurich.
Gilbert, M.J. and Farmer, I.W. (1981) A time dependent model for lining pressure based on strength concepts,Proceedings of the International Symposium on Weak Rock, Tokyo,1, 137–42.
Gill, D.E. (1970) A Mathematical Model for Lining Design in Linear Viscoelastic Ground, PhD Thesis, McGill University, Montreal, 306 pp.
Gill, D.E. and Dubé, B.P. (1974) Influence des conditions d'adhérence à l'interface sur les poussées des revêtements de souterrains,Proceedings of the Third International Congress on Rock Mechanics, Denver,II-B, pp. 1136–40.
Gill, D.E., Coates, D.F. and Geldart, L. (1970) Un modèle mathématique d'un souterrain cylindrique circulaire droit, revêtu, percé dans un milieu viscoélastique linéaire,Proceedings of the Second International Congress on Rock Mechanics, Beograd,2, pp. 625–32.
Gill, D.E. and Ladanyi, B. (1983) The characteristic line concept of lining design in creeping ground,Proceedings of the CIM Symposium on Underground Support Systems, Sudbury, Canada, CIM Special Volume No. 35, 1987, pp. 37–41.
Gill, D.E. and Ladanyi, B. (1987) Time-dependent ground response curves for tunnel lining design,Proceedings of the Sixth International Congress on Rock Mechanics, Montreal,2, pp. 917–21.
Gnirk, P.F. and Johnson, R.E. (1964) The deformational behavior of a circular mine shaft situated in a viscoelastic medium under hydrostatic stress, Proceedings of the Sixth U.S. Symposium on Rock Mechanics, Rolla, pp. 231–59.
Hoek, E. and Brown, E.T. (1980) Underground Excavations in Rock, The Institute of Mining and Metallurgy, London, 527 pp.
Ladanyi, B. (1974) Use of the long term strength concept in the determination of ground pressure on tunnel linings,Proceedings of the Third International Congress on Rock Mechanics, Denver,IIB, pp. 1150–56.
Ladanyi, B. (1980) Direct determination of ground pressure on tunnel linings in a non-linear viscoelastic rock, inUnderground Rock Engineering, Proceedings of the Thirteenth Canadian Rock Mechanics Symposium, Toronto, CIM Spec Volume,22, pp. 126–32.
Ladanyi, B. and Gill, D.E. (1984) Tunnel lining design in a creeping rock, inDesign and Performance of Underground Excavations, Cambridge, UK, Volume 1, pp. 19–26.
Lauffer, H. and Seeber, G. (1961) Design and control of linings of pressure tunnels and shafts, based on measurements of the deformability of the rock,Proceedings of the Seventh Conference on Large Dams, Rome,Q.25, pp. 679–707.
Lo, K.Y. and Yuen, C.M.K. (1981) Design of tunnel lining in rock for long term time effects,Canadian Geotechnical Journal,18, 24–39.
Panet, M. (1979) Les déformations différées dans les ouvrages souterrains, Proceedings of the Fourth International Congress on Rock Mechanics, Montreux,3, pp. 291–301.
Sakurai, S. (1977) Interpretation of field measurement in undersea tunnels with the aid of mathematical models,Proceedings of the International Symposium on Field Measurements in Rock Mechanics, Zurich, pp. 859–71.
Sulem, J., Panet, M. and Guenot, A. (1987) An analytical solution for time dependent displacement in a circular tunnel,International Journal on Rock Mechanics and Mining Sciences,24, 155–64.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ladanyi, B., Gill, D.E. Design of tunnel linings in a creeping rock. International Journal of Mining and Geological Engineering 6, 113–126 (1988). https://doi.org/10.1007/BF00880802
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00880802