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Laboratory Estimation of Rock Joint Stiffness and Frictional Parameters

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Abstract

Numerical modeling of complex rock engineering problems involves the use of various input parameters which control usefulness of the output results. Hence, it is of utmost importance to select the right range of input physical and mechanical parameters based on laboratory or field estimation, and engineering judgment. Joint normal and shear stiffnesses are two popular input parameters to describe discontinuities in rock, which do not have specific guidelines for their estimation in literature. This study attempts to provide simple methods to estimate joint normal and shear stiffnesses in the laboratory using the uniaxial compression and small-scale direct shear tests. Samples have been prepared using rocks procured from different depths, geographical locations and formations. The study uses a mixture of relatively smooth natural joints and saw-cut joints in the various rock samples tested. The results indicate acceptable levels of uncertainty in the calculation of the stiffness parameters and provide a database of good first estimates and empirical relations which can be used for calculating values for joint stiffnesses when laboratory estimation is not possible. Joint basic friction angles have also been estimated as by-products in the small scale direct shear tests.

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References

  • Bandis SC, Lumsden AC, Barton NR (1983) Fundamentals of rock joint deformation. Int J Rock Mech Min Sci 20(6):249–268

    Article  Google Scholar 

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

    Article  Google Scholar 

  • Bieniawski ZT (1974) Geomechanics classification of rock masses and its application in tunneling. In: Proc. 3rd Int. Cong. Rock Mech Vol. 2, pp 27–32

  • Byerlee J (1978) Friction of rocks. Pure Appl Geophys 116(4–5):615–626

    Article  Google Scholar 

  • Deere DU, Hendron AJ, Patton FD, Cording EJ (1967) Design of surface and near-surface construction in rock. In: The 8th US Symposium on Rock Mechanics (USRMS). American Rock Mechanics Association

  • Dieterich JH (1992) Earthquake nucleation on faults with rate-and state-dependent strength. Tectonophysics 211(1):115–134

    Article  Google Scholar 

  • Goodman RE (1976) Methods of geological engineering in discontinuous rocks. West, New York

    Google Scholar 

  • Goodman RE (1974) The mechanical properties of joints. In: Proceedings of the Third Congress on ISRM, Denver, vol. 1A, Washington, DC: National Academy of Sciences. pp 127–140

  • Goodman RE, Taylor RL, Brekke TL (1968) A model for the mechanics of jointed rock. J Soil Mech Found Div Proc Am Soc Civ Eng 94(SM3):637–659

    Google Scholar 

  • Helmstetter A, Sornette D, Grasso JR, Andersen JV, Gluzman S, Pisarenko V (2004) Slider block friction model for landslides: application to Vaiont and La Clapière landslides. J Geophys Res: Solid Earth 109(B2):1978–2012

    Article  Google Scholar 

  • Hoek E, Marinos P (2007) A brief history of the development of the Hoek-Brown failure criterion. Soils Rocks 2:1–8

    Google Scholar 

  • Hoek E, Kaiser PK, Bawden WF (1995) Support of underground excavations in hard rock. A. A. Balkema, Rotterdam

    Google Scholar 

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

    Google Scholar 

  • Jiang XW, Wan L, Wang XS, Liang SH, Hu BX (2009) Estimation of fracture normal stiffness using a transmissivity-depth correlation. Int J Rock Mech Min Sci 46(1):51–58

    Article  Google Scholar 

  • Jing L, Nordlund E, Stephansson O (1994) A 3-D constitutive model for rock joints with anisotropic friction and stress dependency in shear stiffness. Int J Rock Mech Min Sci 31(2):173–178

    Article  Google Scholar 

  • Malama B, Kulatilake PHSW (2003) Models for normal fracture deformation under compressive loading. Int J Rock Mech Min Sci 40:893–901

    Article  Google Scholar 

  • Marone C (1998) Laboratory-derived friction laws and their application to seismic faulting. Annu Rev Earth Planet Sci 26(1):643–696

    Article  Google Scholar 

  • Matsuki K, Wang EQ, Sakaguchi K, Okumura K (2001) Time dependent closure of a fracture with rough surfaces under constant normal stress. Int J Rock Mech Min Sci 38(5):607–619

    Article  Google Scholar 

  • Romana M (1985) New adjustment ratings for application of Bieniawski classification to slopes. In: Proceedings of the International Symposium on the Role of Rock Mechanics in Excavations for Mining and Civil Works. International Society of Rock Mechanics, Zacatecas, pp 49–53

  • Ruina A (1983) Slip instability and state variable friction laws. J Geophys Res 88(10):359–10

    Google Scholar 

  • Rutqvist J (1995) Determination of hydraulic normal stiffness of fractures in hard rock from well testing. Int J Rock Mech Min Sci 32(5):513–523

    Article  Google Scholar 

  • Shehata WM (1971) PhD thesis, quoted in Sharp JC and Maini YNT, in fundamental considerations on the hydraulic characteristics of joints in rock. Proceedings of the Symposium on Percolation Through Fissured Rock, paper no. T1-F, Stuttgart, 1972

  • Standard ASTM D5607–08 (2008) Standard test method for performing laboratory direct shear strength tests of rock specimens under constant normal force. Annual Book of ASTM Standards. American Society for Testing and Materials, West Conshohocken

    Google Scholar 

  • Standard ASTM D7012 (2014) Standard test method for compressive strength and elastic moduli of intact rock core specimens under varying states of stress and temperatures. ASTM International, West Conshohocken

    Google Scholar 

  • Stille H, Groth T, Fredriksson A (1982) FEM-analysis of rock mechanical problems with JOBFEM, vol 307(1). Stiftelsen Bergteknisk Forskning–BeFo, Stockholm, p 82

    Google Scholar 

  • Sun Z, Gerrard C, Stephansson O (1985) Rock joint compliance tests for compression and shear loads. Int J Rock Mech Min Sci 22(4):197–213

    Article  Google Scholar 

  • Swan G (1983) Determination of stiffness and other joint properties from roughness measurements. Rock Mech Rock Eng 16:19–38

    Article  Google Scholar 

  • Veveakis E, Vardoulakis I, di Toro G (2007) Thermoporomechanics of creeping landslides: the 1963 Vaiont slide, northern Italy. J Geophys Res: Earth Surf 112(F3):2003–2012

    Article  Google Scholar 

  • Wang JA, Park HD (2001) Comprehensive prediction of rockburst based on analysis of strain energy in rocks. Tunn Undergr Space Tech 16(1):49–57

    Article  Google Scholar 

  • Wang X, Kulatilake PHSW, Song WD (2012) Stability investigations around a mine tunnel through three-dimensional discontinuum and continuum stress analyses. Tunn Undergr Space Tech 32:98–112

    Article  Google Scholar 

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Acknowledgments

The support provided by the various mining companies through providing geological data, rock core and/or block samples, and allowing access to the mine to perform field investigations is very much appreciated. The work was funded by the NIOSH of the Centers for Disease Control and Prevention (Contract No. 200-2011-39886). We also thank two anonymous reviewers for their critique which helped improve the paper.

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Correspondence to Pinnaduwa H. S. W. Kulatilake.

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Kulatilake, P.H.S.W., Shreedharan, S., Sherizadeh, T. et al. Laboratory Estimation of Rock Joint Stiffness and Frictional Parameters. Geotech Geol Eng 34, 1723–1735 (2016). https://doi.org/10.1007/s10706-016-9984-y

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