Skip to main content
Log in

Investigating the effects of lateral stress to vertical stress ratios and caverns shape on the cavern stability and sidewall displacements

  • Original Paper
  • Published:
Arabian Journal of Geosciences Aims and scope Submit manuscript

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.

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.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13

Similar content being viewed by others

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

    Article  Google Scholar 

  • Barpi F, Peila D (2012) Influence of the tunnel shape on shotcrete lining stresses. Comput Aided Civ Infrastruct Eng 27:260–275

    Article  Google Scholar 

  • Benardos AG, Kaliampakos DC (2005) Hydrocarbon storage in unlined rock caverns in Greek limestone. Tunn Undergr Space Technol 20:175–182

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Google Scholar 

  • 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

    Article  Google Scholar 

  • Panji M et al (2011) Evaluation of effective parameters on the underground tunnel stability using BEM. J Struct Eng Geotech 1(2):29–37

    Google Scholar 

  • 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

    Google Scholar 

  • Sitharam TG, Latha GM (2002) Analysis of Shiobara powerhouse cavern using equivalent continuum approach. Indian Geotech J 32(4):429–441

    Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • Ziping H et al (2002) Cavern roof stability-mechanism of arching and stabilization by rock bolting. Tunn Undergr Space Technol 17:249–261

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Abolfazl Abdollahipour.

Rights and permissions

Reprints and permissions

About this article

Cite this article

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

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12517-012-0698-z

Keywords

Navigation