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Shear Model Development of Limestone Joints with Incorporating Variations of Basic Friction Coefficient and Roughness Components During Shearing

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Abstract

In relation to the shearing of rock joints, the precise and continuous evaluation of asperity interlocking, dilation, and basic friction properties has been the most important task in the modeling of shear strength. In this paper, in order to investigate these controlling factors, two types of limestone joint samples were prepared and CNL direct shear tests were performed on these joints under various shear conditions. One set of samples were travertine and another were onyx marble with slickensided surfaces, surfaces ground to #80, and rough surfaces were tested. Direct shear experiments conducted on slickensided and ground surfaces of limestone indicated that by increasing the applied normal stress, under different shearing rates, the basic friction coefficient decreased. Moreover, in the shear tests under constant normal stress and shearing rate, the basic friction coefficient remained constant for the different contact sizes. The second series of direct shear experiments in this research was conducted on tension joint samples to evaluate the effect of surface roughness on the shear behavior of the rough joints. This paper deals with the dilation and roughness interlocking using a method that characterizes the surface roughness of the joint based on a fundamental combined surface roughness concept. The application of stress-dependent basic friction and quantitative roughness parameters in the continuous modeling of the shear behavior of rock joints is an important aspect of this research.

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References

  • Alejano LR, Gonzalez J, Muralha J (2012) Comparison of different techniques of tilt testing and basic friction angle variability assessment. Rock Mech Rock Eng 45:1023–1035

    Article  Google Scholar 

  • Asadi MS, Rasouli V, Barla G (2012) A bonded particle model simulation of shear strength and asperity degradation for rough rock fractures. Rock Mech Rock Eng 45:649–675

    Google Scholar 

  • Asadollahi P, Tonon F (2010) Constitutive model for rock fractures: revisiting Barton’s empirical model. Eng Geol 113:11–32

    Article  Google Scholar 

  • Bandis S, Lumsden AC, Barton NR (1981) Experimental studies of scale effects on the shear behavior of rock joints. Int J Rock Mech Min Sci Geomech Abstr 18:1–21

    Article  Google Scholar 

  • Barbero G, Barla A, Zaninetti A (1996) Dynamic shear strength of rock joints subjected to impulse loading. Int J Rock Mech Min Sci Geomech Abstr 33(2):141–151

    Article  Google Scholar 

  • Barton N (1973) Review of a new sheer strength criterion for rock joints. Eogno Geol 7:287–332

    Article  Google Scholar 

  • Barton N (1976) Rock mechanics review: the shear strength of rock and rock joints. Int J Rock Mech Min Sci Geomech Abstr 13:255–279

    Article  Google Scholar 

  • Barton N (1982) Modeling rock joint behavior from in situ block tests: implications for nuclear waste repository design. Office of Nuclear Waste Isolation, Columbus, OH, 96 pp, ONWI-308, September

  • Barton N, Choubey V (1977) The shear strength of rock joints in theory and practice. Rock Mech 10:1–54

    Article  Google Scholar 

  • Boneh Y, Sagy A, Reches Z (2013) Frictional strength and wear-rate of carbonate faults during high-velocity, steady-state sliding. Earth Planet Sci Lett 381:127–137

    Article  Google Scholar 

  • Bowden FP, Tabor D (1964) The friction and lubrication of solids, Part 2. Clarendon, Oxford

    Google Scholar 

  • Brown SR, Scholz CH (1985) Broad band width study of the topography of natural rock surfaces. J Geophys Res 90:12575–12582

    Article  Google Scholar 

  • Bruce IG, Cruden DM, Eaton TM (1989) Use of a tilting table to determine the basic friction angle of hard rock samples. Can Geotech J 26:474–479

    Article  Google Scholar 

  • Byerlee JD (1970) Static and kinetic friction of granite at high normal stress. Int J Rock Mech Min Sci 7:577–582

    Article  Google Scholar 

  • Byerlee JD, Brace WF (1968) Stick slip, stable sliding, and earthquakes—effect of rock type, pressure, strain rate, and stiffness. J Geophys Res 73:6031–6037

    Article  Google Scholar 

  • Byerlee JD, Summers R (1975) Stable sliding preceding stick-slip on fault surfaces in granite at high pressure. Pure Appl Geophys 113:63–68

    Article  Google Scholar 

  • Cai M (2010) Practical estimates of tensile strength and Hoek–Brown parameter mi of brittle rocks. Rock Mech Rock Eng 43(2):167–184

    Article  Google Scholar 

  • Cho N, Martin CD et al (2007) A clumped particle model for rock. Int J Rock Mech Min Sci 44(7):997–1010

    Article  Google Scholar 

  • Coulson JH (1971) Shear strength of flat surfaces in rock stability of rock slopes. In: Cording EJ (ed) Proceedings of the 13th symposium on rock mechanics. American Society of Civil Engineers, New York, pp 77–105

  • Cruden DM, Hu XQ (1988) Basic friction angles of carbonate rocks from Kananaskis country, Canada. Bull Int Assoc Eng Geol 38:55–59

    Article  Google Scholar 

  • Dieterich JH (1972) Time-dependent friction in rocks. J Geophys Res 77:3690–3697

    Article  Google Scholar 

  • Dieterich JH, Kilgore BD (1994) Direct observation of frictional contacts: new insights for state dependent properties. Pure Appl Geophys 143:283–302

    Article  Google Scholar 

  • Dight PM, Chiu HK (1981) Prediction of shear behavior of joints using profiles. Int J Rock Mech Min Sci Geomech Abstr 15:303–307

    Google Scholar 

  • Engelder JT (1974) Cataclasis and the generation of fault gouge. Bull Geol Soc Am 85:1515–1522

    Article  Google Scholar 

  • Esaki T, Dua S, Mitania Y, Ikusadaa K, Jing L (1999) Development of a shear flow test apparatus and determination of coupled properties for a single rock joint. Int J Rock Mech Min Sci 36:641–650

    Article  Google Scholar 

  • Fondriest M, Smith SAF, Candela T, Nielsen SB, Mair K, Di Toro G (2013) Mirror-like faults and power dissipation during earthquakes. Geology 41:1175–1178

    Article  Google Scholar 

  • Ghazvinian AH, Azinfar MJ, Vaneghi RG (2012) Importance of tensile strength on the shear behavior of discontinuities. Rock Mech Rock Eng 45(3):349–359

    Article  Google Scholar 

  • Gonzalez J, Gonzalez-Pastoriza N, Castro U, Alejano LR, Muralha J (2014) Considerations on the laboratory estimate of the basic friction angle of rock joints. In: Alejano LR, Perucho A, Olalla C, Jimenez R (eds) Rock mechanics and rock engineering: structures on and in rock masses, EUROCK 2014, Vigo, Rotterdam, Balkema, pp 98–99 (on CD)

  • Goodman RE, Dubois J (1972) Duplication of dilatancy in analysis of jointed rocks. Soil Mech Found Div Proc Am Soc Civ Eng 98:399–422

    Google Scholar 

  • Grasselli G, Egger P (2003) Constitutive law for the shear strength of rock joints based on three-dimensional surface parameters. Int J Rock Mech Min Sci 40:25–40

    Article  Google Scholar 

  • Green HW II, Shi F, Xia G, Reches Z (2015) Phase transformation and nanometric flow cause extreme weakening during fault slip. Nat Geosci. doi:10.1038/NGEO2436

    Google Scholar 

  • Greenwood JA, Tripp JH (1971) The contact of two nominally flat rough surfaces. Proc Inst Mech Eng 185:625–633

    Article  Google Scholar 

  • Greenwood JA, Williamson JBP (1966) Contact of nominally flat surfaces. Proc R Soc Lond A 295:300–319

  • Haberfield CM, Johnston IW (1994) A mechanistically-based model for rough rock joints. Int J Rock Mech Min Sci Geomech Abstr 31:279–292

    Article  Google Scholar 

  • Hu XQ, Cruden DM (1992) A portable tilting table for on-site tests of the friction angles of discontinuities in rock masses. Bull Int Assoc Eng Geol 46:59–62

    Article  Google Scholar 

  • Huang SL, Oelfke SM, Speck RC (1992) Applicability of fractal characterization and modeling to rock joint profiles. Int J Rock Mech Min Sci 29:89–98

    Article  Google Scholar 

  • Huang TH, Chang CS, Chao CY (2002) Experimental and mathematical modeling for fracture of rock joint with regular asperities. Eng Fract Mech 69:1977–1996

    Article  Google Scholar 

  • Indraratna B, Thirukumaran S, Brown ET, Zhu SP (2015) Modelling the shear behaviour of rock joints with asperity damage under constant normal stiffness. Rock Mech Rock Eng 48:179–195

    Article  Google Scholar 

  • Jaeger JC (1959) The frictional properties of joints in rock. Geofiz Pur Appl 43:148–158

    Article  Google Scholar 

  • Jaeger LC (1971) Friction of rocks and stability of rock slopes. Geotechnique 21:97–134

    Article  Google Scholar 

  • Kazerani T, Yang ZY, Zhao J (2012) A discrete element model for predicting shear strength and degradation of rock joint by using compressive and tensile test data. Rock Mech Rock Eng 45:695–709

    Google Scholar 

  • Krahn J, Morgenstern NR (1979) The ultimate frictional resistance of rock discontinuities. Int J Rock Mech Min Sci Geomech Abstr 16:127–133

    Article  Google Scholar 

  • Ladanyi B, Archambault G (1970) Simulation of shear behavior of a jointed rock mass. In: Somerton WH (ed) Rock mechanics; theory and practice. Proceedings 11th symposium on rock mechanics. American Institute of Mining and Metallurgy, New York pp 105–125

  • Lee YK, Park JW, Song JJ (2014) Model for the shear behavior of rock joints under CNL and CNS conditions. Int J Rock Mech Min Sci 70:252–263

    Google Scholar 

  • Maerz NH, Franklin JA, Bennett CP (1990) Joint roughness measurement using shadow profilometry. Int J Rock Mech Min Sci Geomech Abstr 27:329–344

    Article  Google Scholar 

  • Mandelbort BB (1967) How long is the coast of Britain Statistical self-similarity and fractional dimension. Science 156:636–638

    Article  Google Scholar 

  • Maurer WC (1966) Shear failure of rock under axial and hydrostatic pressure. In: Proceedings 1st congress International Society on Rock Mechanics, Lisbon, vol I, pp 337–334

  • Mehrishal A, Sharifzadeh M (2013) Evaluation of the hydraulic aperture of a rock joint using wavelet theory. Geosyst Eng 16(1):119–127. doi:10.1080/12269328.2013.780745

  • Miller SM, McWilliams PC, Kerkering JC (1990) Ambiguities in estimating fractal dimensions of rock fracture surfaces. In: Balkema AA (ed) Proceedings 31st US symposium on rock mechanics. Rotterdam, The Netherlands, pp 471–478

  • Niemeijer AR, Spiers CJ (2007) A microphysical model for strong velocity weakening in phyllosillicate-bearing fault gouges. J Geophys Res 112:B10405. doi:10.1029/2007JB005008

    Article  Google Scholar 

  • Odling NE (1994) Natural fracture profiles, fractal dimension and joint roughness coefficients. Rock Mech 27:135–153

    Article  Google Scholar 

  • Park J-W, Song J-J (2009) Numerical simulation of a direct shear test on a rock joint using a bonded-particle model. Int J Rock Mech Min Sci 46:1315–1328

    Article  Google Scholar 

  • Park JW, Lee YK, Song JJ, Choi BH (2013) A constitutive model for shear behavior of rock joints based on three-dimensional quantification of joint roughness. Rock Mech Rock Eng 46:1513–1537. doi:10.1007/s00603-012-0365-4

    Article  Google Scholar 

  • Paterson MS (1978) Friction and sliding phenomena: experimental rock deformation—the brittle field. ISBN:978-3-662-11722-4

  • Paterson MS, Wong T-F (2005) Experimental rock deformation: the brittle field. Springer, Berlin. ISBN:978-3-540-26339-5 (2ND Completely Rev. and Updated Ed)

  • Patton FD (1966) Multiple modes of shear failure in rock. In: The 1st congress of the International Society of Rock Mechanics, Lisbon, pp 509–513

  • Plesha ME (1987) Constitutive models for rock discontinuities with dilatancy and surface degradation. Int J Numer Anal Meth Geomech 11:345–362

  • Poon CY, Sayles RS, Jones TA (1992) Surface measurement and fractal characterization of naturally fractured rocks. J Phys D Appl Phys 25(8):1269–1275

    Article  Google Scholar 

  • Potyondy DO, Cundall PA (2004) A bonded-particle model for rock. Int J Rock Mech Min Sci 41(8):1329–1364

    Article  Google Scholar 

  • Power WL, Tullis TE (1991) Euclidean and fractal models for the description of rock surface roughness. J Geophys Res 96:415–424

    Article  Google Scholar 

  • Rasouli V, Harrison JP (2010) Assessment of rock fracture surface roughness using Riemannian statistics of linear profiles. Int J Rock Mech Min Sci 47:940–948

    Article  Google Scholar 

  • Read SAL, Perrin ND, Richards L (2005) Evaluation of the intact properties of weak rocks for use in the Hoek–Brown failure criterion. In: Chenn G et al (eds) Proceedings 40th US rock mechanics symposium, Anchorage, Alaska, USA, paper ARMA/USRMS 05-694. ARMA, Alexandria

  • Reeves MJ (1990) Rock surface roughness and frictional strength. Int J Rock Mech Min Sci Geomech Abstr 28:429–442

    Google Scholar 

  • Roberds WJ, Einstein HH (1978) Comprehensive model for rock discontinuities. Trans Geotech Eng ASCE 104:553–569

    Google Scholar 

  • Rowe PW (1962) The stress–dilatancy relation for static equilibrium of an assembly of particles in contact. Proc R Soc (Lond) A269:500–527

    Article  Google Scholar 

  • Ruiz J, Li C (2014) Measurement of the basic friction angle of rock by three different tilt test methods. In: Alejano L, Perucho A, Olalla C, Jimenez R (eds) EUROCK2014: rock mechanics and rock engineering: structures on and in rock masses. Balkema, Vigo (on CD)

  • Scholz CH (2002) The mechanics of earthquakes and faulting. Cambridge university Press. ISBN 978-0-521-65540-8

  • Scholz CH, Engelder JT (1976) The role, of asperity indentation and ploughing in rock friction: asperity creep and stick-slip. Int J Rock Mech Min Geomech Abstr 13:149–154

    Article  Google Scholar 

  • Scholz CH, Molnar P, Johnson T (1972) Detailed studies of frictional sliding in granite and implications for earthquake mechanism. J Geophys Res 77:6392–6406

    Article  Google Scholar 

  • Seidel JP, Haberfield CM (2002) A theoretical model for rock joints subjected to constant normal stiffness direct shear. Int J Rock Mech Min Sci 39:539–553

    Article  Google Scholar 

  • Sharifzadeh M (2005) Experimental and theoretical research on hydro-mechanical coupling properties of rock joint. Ph.D. thesis, Kyushu University, Japan

  • Sharifzadeh M, Mitani Y, Esaki T (2008) Rock joint surfaces measurement and analysis of aperture distribution under different normal and shear loading using GIS. Rock Mech Rock Eng 41(2):299–323

    Article  Google Scholar 

  • Sheorey PR (1997) Empirical rock failure criteria. A. A. Balkema, Amsterdam, p 200

    Google Scholar 

  • Siman-Tov S, Aharonov E, Sagy A, Emmanuel S (2013) Nano-grains from carbonate “fault mirrors”. Geology 41:703–706

    Article  Google Scholar 

  • Stimpson B (1981) A suggested technique for determining the basic friction angle of rock surfaces using core. Int J Rock Mech Min Sci Geomech Abstr 18:63–65

    Article  Google Scholar 

  • Tate NJ (1998) Estimating the fractal dimension of synthetic topographic surfaces. Comput Geosci 24:325–334

    Article  Google Scholar 

  • Teufel LW, Logan M (1976) Measurement of temperatures generated during frictional sliding. EOS Trans Am Geophys Union 57:1011

    Google Scholar 

  • Thomas TR (1999) Rough surfaces. Imperial College, London

    Google Scholar 

  • Tse R, Cruden DM (1979) Estimating joint roughness coefficients. Int J Rock Mech Min Sci Geomech Abstr 16:303–307

    Article  Google Scholar 

  • Turk N, Dearman WR (1985) Investigation of some rock joint properties: roughness angle determination and joint closure. In: Proceedings of international symposium on fundamentals of rock joints, pp 197–204. Bjorkliden, Sweden

  • Ueng TS, Chang WC (1990) Shear strength of joint surface profiles. Rock mechanics contribution and challenges. In: Proceedings of the 31st US rock mechanics symposium, pp 245–251

  • Ulusay R, Karakul H (2015) Assessment of basic friction angles of various rock types from Turkey under dry, wet and submerged conditions and some considerations on tilt testing. Bull Eng Geol Environ. doi:10.1007/s10064-015-0828-4

    Google Scholar 

  • USBR (2009) Procedure for determining the angle of basic friction (static) using a tilting table test (Designation USBR 6258-09). http://www.usbr.gov

  • Verberne BA, Spiers CJ, Niemeijer AR, De Bresser JHP, De Winter DAM, Plümper O (2013) Frictional properties and microstructure of calcite-rich fault gouges sheared at sub-seismic sliding velocities. Pure Appl Geophys 171:2617–2640

    Article  Google Scholar 

  • Verberne BA, Plümper O, De Winter DAM, Spiers CJ (2014) Superplastic nanofibrous slip zones control seismogenic fault friction. Science 346:1342–1344

    Article  Google Scholar 

  • Wu TH, Ali EM (1978) Statistical representation of the joint roughness. Int J Rock Mech Min Sci Geomech Abstr 15:259–262

    Article  Google Scholar 

  • Yang ZY, Chiang DY (2000) An experimental study on the progressive shear behavior of rock joints with tooth-shaped asperities. Int J Rock Mech Min Sci 37:1247–1259

    Article  Google Scholar 

  • Yoon J (2007) Application of experimental design and optimization to PFC model calibration in uniaxial compression simulation. Int J Rock Mech Min Sci 44(6):871–889

    Article  Google Scholar 

  • Yu X, Vayssade B (1991) Joint profiles and their roughness parameters. Int J Rock Mech Min Sci Geomech Abstr 28:333–336

    Article  Google Scholar 

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Acknowledgements

Experiments conducted in this research were funded by the Ministry of Oceans and Fisheries of Korea as a part of the project titled “Development of Technology for CO2 Marine Geological Storage” under the supervision of Prof. Jae-Jon Song. The authors would like to express their sincere thanks to Prof. Ki-Bok Min and Prof. Seokwon Jeon from the energy resource department of Seoul National University, who provided us with an opportunity to access the rock mechanics laboratory and research facilities.

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Authors and Affiliations

  1. Department of Mining and Metallurgical Engineering, Amirkabir University of Technology, Tehran, Iran

    Seyedahmad Mehrishal, Mostafa Sharifzadeh & Korosh Shahriar

  2. Department of Mining Engineering, Western Australian School of Mines (WASM), Curtin University, Kalgoorlie, Australia

    Mostafa Sharifzadeh

  3. Department of Energy Resources Engineering, Research Institute of Energy and Resources, Seoul National University, Seoul, Korea

    Jae-Jon Song

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  1. Seyedahmad Mehrishal
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Correspondence to Mostafa Sharifzadeh.

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Mehrishal, S., Sharifzadeh, M., Shahriar, K. et al. Shear Model Development of Limestone Joints with Incorporating Variations of Basic Friction Coefficient and Roughness Components During Shearing. Rock Mech Rock Eng 50, 825–855 (2017). https://doi.org/10.1007/s00603-016-1128-4

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