Abstract
Effects of lateral stress to vertical stress ratio on behavior of a cavern in various geomechanical and geometrical conditions were studied. Results indicated that the range of one to two lateral stress to vertical stress ratios was the best condition for cavern stability. The ranges causing tension and compressive failure were specified as well. Two-dimensional stability analyses were carried out by using Phase2. Key point location on the cavern side wall was investigated and determined using an equation based on a large number of numerical analyses. Subsequently, in order to predict the elasto-plastic displacement and elastic displacement on a side wall key point, two equations were fitted based on various cavern cross sections considering four basic factors, i.e., rock deformation modulus, overburden depth of caverns, heights of the caverns, and the lateral stress to vertical stress ratio. The proposed equations were utilized to predict displacement at the key points of 10 projects subsequent to which the computation results were compared to in-site measuring results and back analysis results. Finally, using key point displacement as a stability factor, the effects of three different shapes of caverns including mushroom, horse shoe, and elliptical were investigated on cavern stability. The most optimum shape was elliptical in a vast range of lateral stress to vertical stress ratios; mushroom and horse shoe shapes were preferred in uniaxial stress fields concerning the rock quality.
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References
Ahmadi M, et al. (2007) Numerical dynamic analyze of seismic effect On Siah Bisheh pump-storage caverns. In: Proceedings of the 3rd Iranian Rock Mechanics Conference. pp 873–880. (In Persian)
Bao-you Z, Zhen-yue M (2009) Influence of cavern spacing on the stability of large cavern groups in a hydraulic power station. Int J Rock Mech Min 46:506–513
Barpi F, Peila D (2012) Influence of the tunnel shape on shotcrete lining stresses. Comput Aided Civ Infrastruct Eng 27:260–275
Benardos AG, Kaliampakos DC (2005) Hydrocarbon storage in unlined rock caverns in Greek limestone. Tunn Undergr Space Technol 20:175–182
Broujerdi M, et al. (2004) Dynamic analysis of Karun III hydropower against earth quake. In: Proceedings of the 2nd Iranian Rock Mechanics Conference. pp 184–197. (In Persian)
Carranza-Torres C, Fairhurst C (1999a) The elasto-plastic response of underground excavations in rock masses that satisfy the Hoek–Brown failure criterion. Int J Rock Mech Min 36:777–809
Carranza-Torres C, Fairhurst C (1999b) Elasto-plastic analysis of elliptical cavities in rock subject to non-hydrostatic loading, in FLAC and numerical modeling in geomechanics. In: Detournay C, Hart R (eds) Proceedings of the Conference, Minneapolis, September 1999. Balkema, Rotterdam, pp 215–223
Chryssanthakis P, Barton N (1995) Dynamic loading of physical and numerical models of very large underground openings. In: Proceedings of the 8th International Conference on Rock Mechanics, Tokyo. 3, pp 1313–1316
Fan SC et al (2004) On modeling of incident boundary for wave propagation in jointed rock masses using discrete element method. Comput Geotech 31(1):57–66
Hao YH, Azzam R (2005) The plastic zones and displacements around underground openings in rock masses containing a fault. Tunn Undergr Space Technol 20:49–61
Hibino S, Motojima M (1993) Rock mass behavior during large scale excavation. Comprehensive rock engineering, vol. 4, Ch. 22. Pergamon, Oxford, pp. 631–651
Hoek E (2007) Practical rock engineering. In: Design of large underground caverns http://www.rocscience.com/education/hoeks_corner. Accessed 14 April 2012
Hoek E, Brown ET (1980) Underground excavations in rock. Spon, London, p 527
Jafari A, Hedayatjou J (2003) 3D stability analysis and support designation of tunnels of Gotvand powerhouse dam. In: Proceedings of the 7th Iranian tunnel Conference. (In Persian)
Johansson J (2003) High pressure storage of gas in lined rock caverns, cavern wall design principles. Thesis (M.Sc.), Division of Soil & Rock Mechanics, Royal Institute of Technology, Stockholm, Sweden
Palmström A, Singh R (2001) The deformation modulus of rock masses—comparisons between in situ tests and indirect estimates. Tunn Undergr Space Technol 16:115–131
Panji M et al (2011) Evaluation of effective parameters on the underground tunnel stability using BEM. J Struct Eng Geotech 1(2):29–37
Ramamurthy T, et al. (1995) Stability of underground opening from equivalent material modeling. In: Proceedings of the 8th International Conference on Rock Mechanics, Tokyo. 3, pp. 1363–136
Rocscience (2005) Phase2 user’s manual. Rocscience, Toronto
Rocscience Inc. (2005) Phase2: finite element analysis and support design for excavations. Rocscience, Toronto
Sitharam TG, Latha GM (2002) Analysis of Shiobara powerhouse cavern using equivalent continuum approach. Indian Geotech J 32(4):429–441
Yosefian A (2008) The design and consideration of segmental lining case study: 3 and 4 of the Qumroud tunnel. Thesis (M.Sc.), Shahid Bahonar University of Kerman. (In Persian)
Yu ZH, et al. (2011) Effect of tunnel shape and support system on stability of a tunnel in a deep coal mine in China. In: Proceedings of the 45th U.S. Rock Mechanics/Geomechanics Symposium, California
Yujing J et al (2009) Simulation of cracking near a large underground cavern in a discontinuous rock mass using the expanded distinct element method. Int J Rock Mech Min 46:97–106
Zamani M, Musavi H (2004) Dynamic analysis of Masjed Soleyman hydropower cavern under dynamic loads of earth quake. In: Proceedings of the 2nd Iranian Rock Mechanics Conference, pp. 294–305
Zhou Y, et al. (2003) Behaviour of large-span rock tunnels and caverns under favorable horizontal stress conditions. Technology Roadmap for Rock Mechanics, South African Institute of Mining and Metallurgy
Zhu WS et al (2008) A methodology for studying the high wall displacement of large scale underground cavern complexes and its applications. Tunn Undergr Space Technol 23:651–664
Zhu WS et al (2010) A study on sidewall displacement prediction and stability evaluations for large underground power station caverns. Int J Rock Mech Min 47:1055–1062
Ziping H et al (2002) Cavern roof stability-mechanism of arching and stabilization by rock bolting. Tunn Undergr Space Technol 17:249–261
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Abdollahipour, A., Rahmannejad, R. Investigating the effects of lateral stress to vertical stress ratios and caverns shape on the cavern stability and sidewall displacements. Arab J Geosci 6, 4811–4819 (2013). https://doi.org/10.1007/s12517-012-0698-z
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DOI: https://doi.org/10.1007/s12517-012-0698-z