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Stability analysis and optimization of the support system of an underground powerhouse cavern considering rock mass variability

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Abstract

Input parameters, such as rock mass strength parameters and deformation modulus, considered in the design of underground openings involve some uncertainty. The current uncertainty in these parameters is due to the inherent variability of these parameters. To quantify these parameters and design underground openings, the statistical methods must be utilized. In this research, a statistical method was used to define the GSI of rock mass (Geological Strength Index), block volume (Vb), and joint conditions (Jc). Using the GSI distribution function obtained from field data and intact rock strength characteristics, the statistical distribution functions of rock mass parameters were defined using the Monte Carlo method. The statistical analysis of the stability in Azad-pumped storage powerhouse cavern was carried out through the point estimate method. The appropriate support system was suggested according to the support pressure and the plastic zone around the cavern. This study showed the application of the statistical method, by combining the uncertainties of the intact rock strength and discontinuity parameters, in the assessment of the strength and deformability of rock masses and the support selection process in comparison with the deterministic methods.

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References

  • Palisade Corporation (2001) @RISK: Risk Analysis and Simulation add-in for Microsoft Excel. Palisade Corporation, Newfield, NY

    Google Scholar 

  • Azad Rock Mechanics report (2013) 2nd stage studies of Azad powerhouse, Rock Mechanics reports

  • Barton N, Lien R, Lunde J (1974) Engineering classification of rock masses for the design of tunnel support. Rock Mech 6(4):189–236

    Article  Google Scholar 

  • Barton N, Lien R, Lunde J (1975) Estimation of support requirements for underground excavations. Paper presented at the The 16th US Symposium on Rock Mechanics (USRMS)

  • Cai M (2011) Rock mass characterization and rock property variability considerations for tunnel and cavern design. Rock Mech Rock Eng 44(4):379–399

    Article  Google Scholar 

  • Cai M, Kaiser P, Uno H, Tasaka Y, Minami M (2004) Estimation of rock mass deformation modulus and strength of jointed hard rock masses using the GSI system. Int J Rock Mech Min Sci 41(1):3–19

    Article  Google Scholar 

  • Einstein HH, Baecher GB (1983) Probabilistic and statistical methods in engineering geology. Rock Mech Rock Eng 16(1):39–72

    Article  Google Scholar 

  • Gao H, Kim K (1995) Probabilistic site characterization strategy for natural variability assessment of rock mass properties. Paper presented at the Engineering Mechanics

  • Genevois R, Romeo RW (2003) Probability of failure occurrence and recurrence in rock slopes stability analysis. Int J Geomech 3(1):34–42

    Article  Google Scholar 

  • Harr ME (1989) Probabilistic estimates for multivariate analyses. Appl Math Model 13(5):313–318

    Article  Google Scholar 

  • Hoek E (1998) Reliability of Hoek–Brown estimates of rock mass properties and their impact on design. Int J Rock Mech Min Sci 35(1):63–68

    Article  Google Scholar 

  • Hoek E (2000) Practical rock engineering

  • Hoek E (2001) Cavern reinforcement and lining design (A note prepared for RocNews). http://www.rocscience.com/assets/files/uploads/8500.pdf

  • Hoek E, Diederichs MS (2006) Empirical estimation of rock mass modulus. Int J Rock Mech Min Sci 43(2):203–215

    Article  Google Scholar 

  • Hoek E, Marinos P (2000) Predicting tunnel squeezing problems in weak heterogeneous rock masses. Tunn Tunn Int 32(11):45–51

    Google Scholar 

  • Hoek E, Kaiser PK, Bawden WF (2000) Support of underground excavations in hard rock. CRC Press, Boca Raton

    Book  Google Scholar 

  • Hoek E, Carranza-Torres C, Corkum B (2002) Hoek-Brown failure criterion-2002 edition. Proceedings of NARMS-Tac, 1, 267–273

  • Hoek E, Carter T, Diederichs M (2013) Quantification of the geological strength index chart. Paper presented at the 47th US rock mechanics/geomechanics symposium

  • Huang X, Zhou X, Ma W, Niu Y, Wang Y (2016) Two-dimensional stability assessment of rock slopes based on random field. Int J Geomech 17(7):04016155

    Article  Google Scholar 

  • Idris MA, Basarir H, Nordlund E, Wettainen T (2013) The probabilistic estimation of rock masses properties in Malmberget mine, Sweden. Electron J Geotechn Eng 18(B):269–287

    Google Scholar 

  • Kim K, Gao H (1995) Probabilistic approaches to estimating variation in the mechanical properties of rock masses. Paper presented at the International journal of rock mechanics and mining sciences & geomechanics abstracts

  • Koyama T, Nanbu S, Komatsuzaki Y (1997) Large-scale cavern at a depth of 500 m. Tunn Undergr 28(1):37–45

    Google Scholar 

  • Lang TA (1961) Theory and practice of rock bolting. Trans Soc Min Engrs Am Inst Min MetallPetrolmEngrs 220:333–348

    Google Scholar 

  • Lemy F, Hadjigeorgiou J (2003) Discontinuity trace map construction using photographs of rock exposures. Int J Rock Mech Min Sci 40(6):903–917

    Article  Google Scholar 

  • Lü Q, Chan CL, Low BK (2012) Probabilistic evaluation of ground-support interaction for deep rock excavation using artificial neural network and uniform design. Tunn Undergr Space Technol 32:1–18

    Article  Google Scholar 

  • Morelli GL (2015) Variability of the GSI index estimated from different quantitative methods. Geotech Geol Eng 33(4):983–995

    Article  Google Scholar 

  • Napa-García GF, Beck AT, Celestino TB (2017) Reliability analyses of underground openings with the point estimate method. Tunn Undergr Space Technol 64:154–163

    Article  Google Scholar 

  • Odonne F, Lézin C, Massonnat G, Escadeillas G (2007) The relationship between joint aperture, spacing distribution, vertical dimension and carbonate stratification: an example from the Kimmeridgian limestones of Pointe-du-Chay (France). J Struct Geol 29(5):746–758

    Article  Google Scholar 

  • Pascal C, Angelier J, Cacas M-C, Hancock PL (1997) Distribution of joints: probabilistic modelling and case study near Cardiff (Wales, UK). J Struct Geol 19(10):1273–1284

    Article  Google Scholar 

  • Phase 2 (Version 8.005) (2011) Finite element analysis for underground excavations and slopes. Rockscience Inc. Toronto, Canada. /http://www.rocscience.com/

  • Rosenblueth E (1981) Two-point estimates in probabilities. Appl Math Model 5(5):329–335

    Article  Google Scholar 

  • Ruf JC, Rust KA, Engelder T (1998) Investigating the effect of mechanical discontinuities on joint spacing. Tectonophysics 295(1):245–257

    Article  Google Scholar 

  • Sari M (2009) The stochastic assessment of strength and deformability characteristics for a pyroclastic rock mass. Int J Rock Mech Min Sci 46(3):613–626

    Article  Google Scholar 

  • Sari M, Karpuz C, Ayday C (2010) Estimating rock mass properties using Monte Carlo simulation: Ankara andesites. Comput Geosci 36(7):959–969

    Article  Google Scholar 

  • Simpson G (2000) Synmetamorphic vein spacing distributions: characterisation and origin of a distribution of veins from NW Sardinia, Italy. J Struct Geol 22(3):335–348

    Article  Google Scholar 

  • Sonmez H, Ulusay R (1999) Modifications to the geological strength index (GSI) and their applicability to stability of slopes. Int J Rock Mech Min Sci 36(6):743–760

    Article  Google Scholar 

  • Tiwari G, Pandit B, Gali ML, Babu GL (2018) Analysis of tunnel support requirements using deterministic and probabilistic approaches in average quality rock mass. Int J Geomech 18(4):04018017

    Article  Google Scholar 

  • Weibull W (1939) A statistical theory of the strength of materials. Ingeniors Vetenskaps Akademien

  • Zhang L, Einstein H (1998) Estimating the mean trace length of rock discontinuities. Rock Mech Rock Eng 31(4):217–235

    Article  Google Scholar 

  • Zheng J, Kulatilake P, Shu B (2016) Improved probabilistic kinematic analysis procedure based on finite size discontinuities and its application to a rock slope at open pit mine in US. Int J Geomech 17(2):04016052

    Article  Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Mining Engineering, Isfahan University of Technology, Isfahan, 8415683111, Iran

    Mahmoud Behnia & Masoud Cheraghi Seifabad

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  1. Mahmoud Behnia
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  2. Masoud Cheraghi Seifabad
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Correspondence to Mahmoud Behnia.

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Behnia, M., Seifabad, M.C. Stability analysis and optimization of the support system of an underground powerhouse cavern considering rock mass variability. Environ Earth Sci 77, 645 (2018). https://doi.org/10.1007/s12665-018-7835-2

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