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Erschienen in: Geotechnical and Geological Engineering 1/2018

22.08.2017 | Original paper

Time-Dependent Behaviour of Brittle Rocks Based on Static Load Laboratory Tests

verfasst von: Chrysothemis Paraskevopoulou, Matthew Perras, Mark Diederichs, Simon Loew, Tom Lam, Mark Jensen

Erschienen in: Geotechnical and Geological Engineering | Ausgabe 1/2018

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Abstract

Cumulative elastic and inelastic strain and associated internal stress changes as well as damage evolution over time in brittle rocks control the long-term evolution of the rockmass around underground openings or the land surface settlement. This long-term behaviour is associated with time-dependent deformation and is commonly investigated under static load (creep) conditions in laboratory scale. In this study, low Jurassic and Cobourg limestone samples were tested at different static load levels in unconfined conditions to examine the time to failure. Comparisons are made with longterm testing data in granites and limestones associated with the Canadian nuclear waste program and other data from the literature. Failure typically occurred within the time limits of the test program (4 months) with axial (differential) stress levels near or above the crack damage threshold (CD) estimated from baseline testing. The results also suggest that the time to failure of limestone is longer than that of granite at a given driving stress. Further insight into samples that did not reach failure was investigated and it was found that there was a clear division between failure and no failure samples based on the Maxwell viscosity of the samples tested (indicating that viscosity changes near the yield threshold of these rocks. Furthermore, samples showed a clear tendency towards failure within minutes to hours when loaded above CD and no failure was shown for samples loaded below CI (crack initiation threshold). Samples loaded between CD and CI show a region of uncertainty, with some failing and other not at similar driving stress-ratios. Although such testing is demanding in terms of setup, control of conditions, continuous utilization of test and data acquisition equipment and data processing, it yields important information about the long-term behaviour of brittle rocks, such as the expect time to failure and the visco-elastic behaviour. The information presented in this paper can be utilized for preliminary numerical studies to gain an understanding of potential impact of long-term deformations.

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Literatur
Zurück zum Zitat Abass HH, Al-Mulhem AA, Alqam MS, Mirajuddin KR (2006) Acid fracturing or proppant fracturing in carbonate formation? A rock mechanic’s view. In: Proceedings of SPE annual technical conference and exhibition held in San Antonio, Texas, USA Abass HH, Al-Mulhem AA, Alqam MS, Mirajuddin KR (2006) Acid fracturing or proppant fracturing in carbonate formation? A rock mechanic’s view. In: Proceedings of SPE annual technical conference and exhibition held in San Antonio, Texas, USA
Zurück zum Zitat Amitrano D, Helmstetter A (2006) Brittle creep, damage and time to failure in rocks. J Geophys Res 111(B11201):1–17 Amitrano D, Helmstetter A (2006) Brittle creep, damage and time to failure in rocks. J Geophys Res 111(B11201):1–17
Zurück zum Zitat Amitrano D, Grasso JR, Hantz D (1999) From diffuse to localized damage through elastic interaction. Geophys Res Lett 26(14):2109–2112CrossRef Amitrano D, Grasso JR, Hantz D (1999) From diffuse to localized damage through elastic interaction. Geophys Res Lett 26(14):2109–2112CrossRef
Zurück zum Zitat Anagnostou G (2007) Practical consequences of the time-dependency of ground behaviour for tunnelling. In: Proceedings of rapid excavation and tunnelling conference, Toronto Anagnostou G (2007) Practical consequences of the time-dependency of ground behaviour for tunnelling. In: Proceedings of rapid excavation and tunnelling conference, Toronto
Zurück zum Zitat Anderson OL (1977) Stress-corrosion theory of crack propagation with applications to geophysics. J Rev Geophys Space Phys 15:77–104CrossRef Anderson OL (1977) Stress-corrosion theory of crack propagation with applications to geophysics. J Rev Geophys Space Phys 15:77–104CrossRef
Zurück zum Zitat Apuani T, Masetti M, Rossi M (2007) Stress–strain–time numerical modelling of a deep-seated gravitational slope deformation: preliminary results. Quatern Int 171–172:80–89CrossRef Apuani T, Masetti M, Rossi M (2007) Stress–strain–time numerical modelling of a deep-seated gravitational slope deformation: preliminary results. Quatern Int 171–172:80–89CrossRef
Zurück zum Zitat ASTM (2008) Standard test methods for creep of rock core under constant stress and temperature, D7070-08 ASTM (2008) Standard test methods for creep of rock core under constant stress and temperature, D7070-08
Zurück zum Zitat Aydan O, Akagi T, Kawamoto T (1993) The squeezing potential of rocks around tunnels; theory and prediction. J Rock Mech Rock Eng 26(2):137–163CrossRef Aydan O, Akagi T, Kawamoto T (1993) The squeezing potential of rocks around tunnels; theory and prediction. J Rock Mech Rock Eng 26(2):137–163CrossRef
Zurück zum Zitat Aydan O, Akagi T, Kawamoto T (1996) The squeezing potential of rock around tunnels: theory and prediction with examples taken from Japan. J Rock Mech Rock Eng 29(3):125–143CrossRef Aydan O, Akagi T, Kawamoto T (1996) The squeezing potential of rock around tunnels: theory and prediction with examples taken from Japan. J Rock Mech Rock Eng 29(3):125–143CrossRef
Zurück zum Zitat Barla G, Bonini M, Debernardi D (2008) Time dependent deformations in squeezing tunnels. In: Proceedings of the 12th international conference of international association for computer methods and advances in geomechanics (IACMAG), Goa, India Barla G, Bonini M, Debernardi D (2008) Time dependent deformations in squeezing tunnels. In: Proceedings of the 12th international conference of international association for computer methods and advances in geomechanics (IACMAG), Goa, India
Zurück zum Zitat Barla G, Bonini M, Debernardi D (2010) Time dependent deformations in squeezing tunnels. Int J Geoeng Case Hist 2(1):819–824 Barla G, Bonini M, Debernardi D (2010) Time dependent deformations in squeezing tunnels. Int J Geoeng Case Hist 2(1):819–824
Zurück zum Zitat Barton NR (1974) Estimating the shear strength of rock joints. In: Proceedings of the 3rd congress, ISRM. Denver, pp 1–7 Barton NR (1974) Estimating the shear strength of rock joints. In: Proceedings of the 3rd congress, ISRM. Denver, pp 1–7
Zurück zum Zitat Berest P, Blum P, Charpentier J, Gharbi H, Vales F (2005) Very slow creep tests on rock samples. Int J Rock Mech Min Sci 42:569–576CrossRef Berest P, Blum P, Charpentier J, Gharbi H, Vales F (2005) Very slow creep tests on rock samples. Int J Rock Mech Min Sci 42:569–576CrossRef
Zurück zum Zitat Besterfield DH (1979) Quality control. Prentice-Hall, Englewood Cliffs, p 309 Besterfield DH (1979) Quality control. Prentice-Hall, Englewood Cliffs, p 309
Zurück zum Zitat Bieniawski T (1967) Mechanism of brittle fracture of rock, parts I, II, and III. Int J Rock Mech Min Sci 4(4):395–430CrossRef Bieniawski T (1967) Mechanism of brittle fracture of rock, parts I, II, and III. Int J Rock Mech Min Sci 4(4):395–430CrossRef
Zurück zum Zitat Bieniawski T (1974) Geomechanics classification of rockmasses and its application in tunnelling. In: Proceedings of the 3rd congress, ISRM, Denver Bieniawski T (1974) Geomechanics classification of rockmasses and its application in tunnelling. In: Proceedings of the 3rd congress, ISRM, Denver
Zurück zum Zitat Bonini M, Debernardi D, Barla M, Barla G (2009) The mechanical behaviour of clay shales and implications on the design of tunnels. J Rock Mech Rock Eng 42(2):361–388CrossRef Bonini M, Debernardi D, Barla M, Barla G (2009) The mechanical behaviour of clay shales and implications on the design of tunnels. J Rock Mech Rock Eng 42(2):361–388CrossRef
Zurück zum Zitat Boukharov GN, Chanda MW, Boukharov NG (1995) The three processes of brittle crystalline rock creep. Int J Rock Mech Min Sci Geomech 32(4):325–335CrossRef Boukharov GN, Chanda MW, Boukharov NG (1995) The three processes of brittle crystalline rock creep. Int J Rock Mech Min Sci Geomech 32(4):325–335CrossRef
Zurück zum Zitat Brace WR, Paulding BW Jr, Scholz C (1966) Dilatancy in the fracture of crystalline rocks. J Geophys Res 71(3939–3953):40–65 Brace WR, Paulding BW Jr, Scholz C (1966) Dilatancy in the fracture of crystalline rocks. J Geophys Res 71(3939–3953):40–65
Zurück zum Zitat Brantut N, Heap MJ, Meredith PG, Baud P (2013) Time-dependent cracking and brittle creep in crustal rocks: a review. J Struct Geol 52:17–43CrossRef Brantut N, Heap MJ, Meredith PG, Baud P (2013) Time-dependent cracking and brittle creep in crustal rocks: a review. J Struct Geol 52:17–43CrossRef
Zurück zum Zitat Charles R (1959) The static fatigue of glass. J Appl Phys 29:1549–1560CrossRef Charles R (1959) The static fatigue of glass. J Appl Phys 29:1549–1560CrossRef
Zurück zum Zitat Chen G, Chugh Y (1996) Estimation of in situ visco-elastic parameter of weak floor strata by plate-loading tests. J Geotech Geol Eng 14(2):151–167CrossRef Chen G, Chugh Y (1996) Estimation of in situ visco-elastic parameter of weak floor strata by plate-loading tests. J Geotech Geol Eng 14(2):151–167CrossRef
Zurück zum Zitat Chin HP, Rogers DJ (1987) Creep parameters of rocks on an engineering scale. Rock Mech Rock Eng 20:137–146CrossRef Chin HP, Rogers DJ (1987) Creep parameters of rocks on an engineering scale. Rock Mech Rock Eng 20:137–146CrossRef
Zurück zum Zitat Chugh YP, Nath R, Shankar S (1987) Time-dependent behaviour of immediate weak floor strata from an Illinois coal mine. In: Proceedings of 6th international conference on ground control in mining, West Virginia University, Morgantown, WV, pp 204–218 Chugh YP, Nath R, Shankar S (1987) Time-dependent behaviour of immediate weak floor strata from an Illinois coal mine. In: Proceedings of 6th international conference on ground control in mining, West Virginia University, Morgantown, WV, pp 204–218
Zurück zum Zitat Colback PSB, Widd BL (1965) The influence of moisture content of compressive strength of rock. In: Proceedings of 3rd Canadian rock mechanics symposium, Toronto, pp 65–83 Colback PSB, Widd BL (1965) The influence of moisture content of compressive strength of rock. In: Proceedings of 3rd Canadian rock mechanics symposium, Toronto, pp 65–83
Zurück zum Zitat Cristescu ND (2009) Time effects in rock mechanics. In: Proceedings of the SME annual conference, Albuquerque, New Mexico Cristescu ND (2009) Time effects in rock mechanics. In: Proceedings of the SME annual conference, Albuquerque, New Mexico
Zurück zum Zitat Cruden DM (1974) The static fatigue of brittle rock under uniaxial compression. Int J. Rock Mech. Mine Sci 11:67–73CrossRef Cruden DM (1974) The static fatigue of brittle rock under uniaxial compression. Int J. Rock Mech. Mine Sci 11:67–73CrossRef
Zurück zum Zitat da Andrade ENC (1910) On the viscous flow in metals and allied phenomena. Proc R Soc Lond A 84:1–12CrossRef da Andrade ENC (1910) On the viscous flow in metals and allied phenomena. Proc R Soc Lond A 84:1–12CrossRef
Zurück zum Zitat Damjanac B, Fairhurst C (2010) Evidence for a long-term strength threshold in crystalline rock. J Rock Mech Rock Eng 43(5):513–531CrossRef Damjanac B, Fairhurst C (2010) Evidence for a long-term strength threshold in crystalline rock. J Rock Mech Rock Eng 43(5):513–531CrossRef
Zurück zum Zitat Davis GH, Reynolds SJ, Kluth CF (2012) Structural geology of rocks and regions, 3rd edn. Wiley, New York. ISBN 978-1-118-21505-0 Davis GH, Reynolds SJ, Kluth CF (2012) Structural geology of rocks and regions, 3rd edn. Wiley, New York. ISBN 978-1-118-21505-0
Zurück zum Zitat Debernardi D (2008) Viscoplastic behaviour and design of tunnels. Ph.D. thesis. Politecnico di Torino, Italy Debernardi D (2008) Viscoplastic behaviour and design of tunnels. Ph.D. thesis. Politecnico di Torino, Italy
Zurück zum Zitat Diederichs MS (1999) Instability of hard rockmasses: the role of tensile damage and relaxation. Ph.D. thesis, University of Waterloo, Waterloo, ON, Canada Diederichs MS (1999) Instability of hard rockmasses: the role of tensile damage and relaxation. Ph.D. thesis, University of Waterloo, Waterloo, ON, Canada
Zurück zum Zitat Diederichs MS (2003) Rock fracture and collapse under low confinement conditions. J Rock Mech Rock Eng 36(5):339–381CrossRef Diederichs MS (2003) Rock fracture and collapse under low confinement conditions. J Rock Mech Rock Eng 36(5):339–381CrossRef
Zurück zum Zitat Diederichs MS, Martin CD (2010) Measurement of spalling parameters from laboratory testing. In: Proceedings of Eurock, Lausanne, Switzerland Diederichs MS, Martin CD (2010) Measurement of spalling parameters from laboratory testing. In: Proceedings of Eurock, Lausanne, Switzerland
Zurück zum Zitat Diederichs MS, Kaiser PK, Eberhardt E (2004) Damage initiation and propagation in hard rock during tunnelling and the influence of near-face stress rotation. Int J Rock Mech Min Sci 41(5):785–812CrossRef Diederichs MS, Kaiser PK, Eberhardt E (2004) Damage initiation and propagation in hard rock during tunnelling and the influence of near-face stress rotation. Int J Rock Mech Min Sci 41(5):785–812CrossRef
Zurück zum Zitat Dragon A, Mroz Z (1979) A model for plastic creep of rock-like materials accounting for the kinetics of fracture. Int J Rock Mech Min Sci Geomech 16:253–259CrossRef Dragon A, Mroz Z (1979) A model for plastic creep of rock-like materials accounting for the kinetics of fracture. Int J Rock Mech Min Sci Geomech 16:253–259CrossRef
Zurück zum Zitat Dunham RJ (1962) Classification of carbo-hidenate rocks according to depositional texture. In: Ham WE (ed) Classification of carbo-hidenate rocks: American association of petroleum geologists memoir, pp 108–121 Dunham RJ (1962) Classification of carbo-hidenate rocks according to depositional texture. In: Ham WE (ed) Classification of carbo-hidenate rocks: American association of petroleum geologists memoir, pp 108–121
Zurück zum Zitat Dusseault MB, Fordham CJ (1993) Time-dependent behaviour of rocks. In: Hudson JA (ed) Comprehensive rock engineering, vol 3. Pergamon Press, Oxford, pp 119–149 Dusseault MB, Fordham CJ (1993) Time-dependent behaviour of rocks. In: Hudson JA (ed) Comprehensive rock engineering, vol 3. Pergamon Press, Oxford, pp 119–149
Zurück zum Zitat Eberhardt E, Stead D, Stimpson B, Read RS (1998) Identifying crack initiation and propagation thresholds in brittle rock. Can Geotech J 35:222–233CrossRef Eberhardt E, Stead D, Stimpson B, Read RS (1998) Identifying crack initiation and propagation thresholds in brittle rock. Can Geotech J 35:222–233CrossRef
Zurück zum Zitat Einstein HH (1996) Tunnelling in difficult ground—swelling behaviour and identification of swelling rocks. J Rock Mech Rock Eng 29(3):113–124CrossRef Einstein HH (1996) Tunnelling in difficult ground—swelling behaviour and identification of swelling rocks. J Rock Mech Rock Eng 29(3):113–124CrossRef
Zurück zum Zitat Fairhurst C, Cook NGW (1966) The phenomenon of rock splitting parallel to the direction of maximum compression in the neighborhood of a surface. In: Proceedings of the 1st congress on the international society of rock mechanics, National Laboratory of Civil Engineering, Lisbon, Portugal, vol 1, pp 687–692 Fairhurst C, Cook NGW (1966) The phenomenon of rock splitting parallel to the direction of maximum compression in the neighborhood of a surface. In: Proceedings of the 1st congress on the international society of rock mechanics, National Laboratory of Civil Engineering, Lisbon, Portugal, vol 1, pp 687–692
Zurück zum Zitat Feng XT, Chen BR, Yang CX, Zhiou H (2006) Intelligent analysis of rheological characteristic of rock materials. In: Proceedings of multiphysics coupling and long-term behaviour of rock mechanics, pp 275–280 Feng XT, Chen BR, Yang CX, Zhiou H (2006) Intelligent analysis of rheological characteristic of rock materials. In: Proceedings of multiphysics coupling and long-term behaviour of rock mechanics, pp 275–280
Zurück zum Zitat Fifer Bizjak K, Zupancic A (2009) Site and laboratory investigation of the Slano blato landslide. Eng Geol 105:171–185CrossRef Fifer Bizjak K, Zupancic A (2009) Site and laboratory investigation of the Slano blato landslide. Eng Geol 105:171–185CrossRef
Zurück zum Zitat Ghazvnian E (2015) Fracture initiation and propagation in low porosity crystalline rocks: implications for excavation damage zone (EDZ) mechanics. Ph.D. thesis, Queen’ s University, Canada Ghazvnian E (2015) Fracture initiation and propagation in low porosity crystalline rocks: implications for excavation damage zone (EDZ) mechanics. Ph.D. thesis, Queen’ s University, Canada
Zurück zum Zitat Gioda G (1981) A finite element solution of non-linear creep problems in rocks. J Rock Mech Sci Geomech 18:35–46CrossRef Gioda G (1981) A finite element solution of non-linear creep problems in rocks. J Rock Mech Sci Geomech 18:35–46CrossRef
Zurück zum Zitat Glamheden R, Hokmark H (2010) Creep in jointed rockmasses. State of the knowledge. SKB Glamheden R, Hokmark H (2010) Creep in jointed rockmasses. State of the knowledge. SKB
Zurück zum Zitat Goodman R (1980) Introduction to rock mechanics, 1st edn. Wiley, New York Goodman R (1980) Introduction to rock mechanics, 1st edn. Wiley, New York
Zurück zum Zitat Gorski B, Anderson T, Conlon B (2009) DGR site characterization documents, technical reports TR-08-11. www.nwmo.ca Gorski B, Anderson T, Conlon B (2009) DGR site characterization documents, technical reports TR-08-11. www.​nwmo.​ca
Zurück zum Zitat Gorski B, Anderson T, Conlon B (2010) DGR site characterization documents, technical reports TR-08-36. www.nwmo.ca Gorski B, Anderson T, Conlon B (2010) DGR site characterization documents, technical reports TR-08-36. www.​nwmo.​ca
Zurück zum Zitat Gruden DN (1971) Single-increment creep experiments on rock under uniaxial compression. Int J Rock Mech Min Sci 8:127–142CrossRef Gruden DN (1971) Single-increment creep experiments on rock under uniaxial compression. Int J Rock Mech Min Sci 8:127–142CrossRef
Zurück zum Zitat Guan Z, Jiang Y, Tanabashi Y, Huang H (2008) A new rheological model and its application in mountain tunnelling. J Tunnel Under Space Tech 23:292–299CrossRef Guan Z, Jiang Y, Tanabashi Y, Huang H (2008) A new rheological model and its application in mountain tunnelling. J Tunnel Under Space Tech 23:292–299CrossRef
Zurück zum Zitat Hagros A, Johanson E, Hudson JA (2008) Time dependency in the mechanical properties of crystalline rocks: a literature survey. Possiva OY, Finland Hagros A, Johanson E, Hudson JA (2008) Time dependency in the mechanical properties of crystalline rocks: a literature survey. Possiva OY, Finland
Zurück zum Zitat Hao SW, Zhang BJ, Tian JF, Elsworth D (2014) Predicting time-to-failure in rock extrapolated from secondary creep. J Geophys Res Solid Earth 119:1942–1953CrossRef Hao SW, Zhang BJ, Tian JF, Elsworth D (2014) Predicting time-to-failure in rock extrapolated from secondary creep. J Geophys Res Solid Earth 119:1942–1953CrossRef
Zurück zum Zitat Hardy HR Jr, Kim RY, Stefanko R, Wang YJ (1970) Creep and microseismic activity in geologic materials. In: Proceedings of 1st symposium on rock mechanics (AIME), pp 377–414 Hardy HR Jr, Kim RY, Stefanko R, Wang YJ (1970) Creep and microseismic activity in geologic materials. In: Proceedings of 1st symposium on rock mechanics (AIME), pp 377–414
Zurück zum Zitat Harvey DR (1967) Thermal expansion of certain Illinois limestones and dolomites. State of Illinois Department of Registration and Education, Illinois State Geological Survey, Urbana, Illinois Harvey DR (1967) Thermal expansion of certain Illinois limestones and dolomites. State of Illinois Department of Registration and Education, Illinois State Geological Survey, Urbana, Illinois
Zurück zum Zitat Heap MJ, Baud P, Meredith PG, Vinciguerra S, Bell AF, Main IG (2011) Brittle creep in basalt and its application to time-dependent volcano deformationJ. Earth Planet Sci Lett 37(1–2):71–82CrossRef Heap MJ, Baud P, Meredith PG, Vinciguerra S, Bell AF, Main IG (2011) Brittle creep in basalt and its application to time-dependent volcano deformationJ. Earth Planet Sci Lett 37(1–2):71–82CrossRef
Zurück zum Zitat Hoek E, Brown T (1980) Underground excavations in rock. Institution of Mining and Metallurgy, London Hoek E, Brown T (1980) Underground excavations in rock. Institution of Mining and Metallurgy, London
Zurück zum Zitat Hudson JA, Harrison JP (1997) Engineering rock mechanics—an introduction to the principles. Elsevier, Oxford Hudson JA, Harrison JP (1997) Engineering rock mechanics—an introduction to the principles. Elsevier, Oxford
Zurück zum Zitat ISRM (1979) Suggested methods for determining the uniaxial compressive strength and deformability of rock materials. 16(2):138–140 ISRM (1979) Suggested methods for determining the uniaxial compressive strength and deformability of rock materials. 16(2):138–140
Zurück zum Zitat ISRM (2014) Suggested methods for determining the creep characteristics of rock. 47:275–290 ISRM (2014) Suggested methods for determining the creep characteristics of rock. 47:275–290
Zurück zum Zitat Jandakaew M (2007) Stress-path dependency of rock salt, rock mechanics, Fuenkajorn & Phien-wej (eds), pp 171–188 Jandakaew M (2007) Stress-path dependency of rock salt, rock mechanics, Fuenkajorn & Phien-wej (eds), pp 171–188
Zurück zum Zitat Kawada Y, Nagahama H (2004) Viscoelastic behaviour and temporal fractal properties of lherzolite and marble. Terra Nova 16:128–132CrossRef Kawada Y, Nagahama H (2004) Viscoelastic behaviour and temporal fractal properties of lherzolite and marble. Terra Nova 16:128–132CrossRef
Zurück zum Zitat Korzeniowski W (1991) Rheological model of hard rock pillar. J Rock Mech Rock Eng 24:155–166CrossRef Korzeniowski W (1991) Rheological model of hard rock pillar. J Rock Mech Rock Eng 24:155–166CrossRef
Zurück zum Zitat Kranz RL, Scholz CH (1977) Critical dilatant volume of rocks at the onset of tertiary creep. J Geophys Res 82(4):893–894, 898 Kranz RL, Scholz CH (1977) Critical dilatant volume of rocks at the onset of tertiary creep. J Geophys Res 82(4):893–894, 898
Zurück zum Zitat Kranz R, Harris WJ, Carter NL (1982) Static fatigue of granite at 200 C. J Geophys Res 9:1–4 Kranz R, Harris WJ, Carter NL (1982) Static fatigue of granite at 200 C. J Geophys Res 9:1–4
Zurück zum Zitat Ladanyi B, Gill DE (1988) Design of tunnel linings in a creeping rock. Int J Min Geol Eng 6:113–126CrossRef Ladanyi B, Gill DE (1988) Design of tunnel linings in a creeping rock. Int J Min Geol Eng 6:113–126CrossRef
Zurück zum Zitat Lajtai EZ (1974) Brittle failure in compression. Int J Fract 10(4):525–536CrossRef Lajtai EZ (1974) Brittle failure in compression. Int J Fract 10(4):525–536CrossRef
Zurück zum Zitat Lajtai EZ (1998) Microscopic fracture processes in a granite. J Rock Mech Rock Eng 31:237–250CrossRef Lajtai EZ (1998) Microscopic fracture processes in a granite. J Rock Mech Rock Eng 31:237–250CrossRef
Zurück zum Zitat Lajtai E, Bielus LP (1986) Stress corrosion cracking of Lac du Bonnet granite in tension and compression. Rock Mech Rock Eng 19:71–87CrossRef Lajtai E, Bielus LP (1986) Stress corrosion cracking of Lac du Bonnet granite in tension and compression. Rock Mech Rock Eng 19:71–87CrossRef
Zurück zum Zitat Lajtai EZ, Schmidtke RH (1986) Delayed failure in rock loaded in uniaxial compression. Rock Mech Rock Eng 19:11–25CrossRef Lajtai EZ, Schmidtke RH (1986) Delayed failure in rock loaded in uniaxial compression. Rock Mech Rock Eng 19:11–25CrossRef
Zurück zum Zitat Lajtai EZ, Duncan J, Carter J (1991) The effect of strain rate on rock strength. J Rock Mech Rock Eng 24:99–109CrossRef Lajtai EZ, Duncan J, Carter J (1991) The effect of strain rate on rock strength. J Rock Mech Rock Eng 24:99–109CrossRef
Zurück zum Zitat Lau JSO, Conlon B (1997) Long-term loading tests on Lac du Bonnet pink granite. Report MMSL 97-076(CR), CANMET, Natural Resources Canada Lau JSO, Conlon B (1997) Long-term loading tests on Lac du Bonnet pink granite. Report MMSL 97-076(CR), CANMET, Natural Resources Canada
Zurück zum Zitat Lau J, Gorski B, Conlon B, Anderson T (2000) Long-term loading tests on saturated granite and granodiorite, CANMET Lau J, Gorski B, Conlon B, Anderson T (2000) Long-term loading tests on saturated granite and granodiorite, CANMET
Zurück zum Zitat Lauffer H (1958) Gebirgsklassiferung fuer den Stollenbau. Geol Bauwes 24:46–51 Lauffer H (1958) Gebirgsklassiferung fuer den Stollenbau. Geol Bauwes 24:46–51
Zurück zum Zitat Lin Q (2006) Strength degradation and damage micromechanism of granite under long-term loading. Ph.D., University of Hong-Kong Lin Q (2006) Strength degradation and damage micromechanism of granite under long-term loading. Ph.D., University of Hong-Kong
Zurück zum Zitat Liu X, Yang X, Wang J (2016) A nonlinear creep model of rock salt and its numerical implement in FLAC3D. Adv Materi Sci Eng 285158. doi:10.1155/2015/285158 Liu X, Yang X, Wang J (2016) A nonlinear creep model of rock salt and its numerical implement in FLAC3D. Adv Materi Sci Eng 285158. doi:10.​1155/​2015/​285158
Zurück zum Zitat Lockner D (1993) Room temperature creep in saturated granite. J. Geophys Res 98:475–487CrossRef Lockner D (1993) Room temperature creep in saturated granite. J. Geophys Res 98:475–487CrossRef
Zurück zum Zitat Lockner DJ, Byrlee (1980) Development of fracture planes during creep in granite. In: Proceedings of 2nd conference on acoustic emission/microseismic activity in geological structures and materials. Trans Tech Publication, Clausthal-Zellerfeld, pp 11–25 Lockner DJ, Byrlee (1980) Development of fracture planes during creep in granite. In: Proceedings of 2nd conference on acoustic emission/microseismic activity in geological structures and materials. Trans Tech Publication, Clausthal-Zellerfeld, pp 11–25
Zurück zum Zitat Lockner DA, Moore DE, Reches Z (1992) Microcrack intersection leading to fracture. Rock mechanics. Balkema, Rotterdam, pp 807–816 Lockner DA, Moore DE, Reches Z (1992) Microcrack intersection leading to fracture. Rock mechanics. Balkema, Rotterdam, pp 807–816
Zurück zum Zitat Malan DF, Vogler UW, Drescher K (1997) Time-dependent behaviour of hard rock in deep level gold mines. J South Afr Inst Min Metall 97:135–147 Malan DF, Vogler UW, Drescher K (1997) Time-dependent behaviour of hard rock in deep level gold mines. J South Afr Inst Min Metall 97:135–147
Zurück zum Zitat Marcato G, Mantovani M, Pasuto A, Tagliavini F, Silvano S, Zabuski L (2009) Assessing the possible future development of the Tessina landslide using numerical modelling, mountain risks. In: Proceeding of the 6th framework program of the European Commission. Italy Marcato G, Mantovani M, Pasuto A, Tagliavini F, Silvano S, Zabuski L (2009) Assessing the possible future development of the Tessina landslide using numerical modelling, mountain risks. In: Proceeding of the 6th framework program of the European Commission. Italy
Zurück zum Zitat Martin CD (1993) The strength of massive Lac du Bonnet granite around underground openings. Ph.D. thesis, University of Manitoba Martin CD (1993) The strength of massive Lac du Bonnet granite around underground openings. Ph.D. thesis, University of Manitoba
Zurück zum Zitat Martin CD (1997) Seventeenth Canadian geotechnical colloquium: the effect of cohesion loss and stress path on brittle rock strength. Can Geotech J 34(5):698–725CrossRef Martin CD (1997) Seventeenth Canadian geotechnical colloquium: the effect of cohesion loss and stress path on brittle rock strength. Can Geotech J 34(5):698–725CrossRef
Zurück zum Zitat Martin D, Chandler A (1994) The progressive fracture of Lac du Bonnet granite. J Rock Mech Min Sci Geomech 31(6):643–659CrossRef Martin D, Chandler A (1994) The progressive fracture of Lac du Bonnet granite. J Rock Mech Min Sci Geomech 31(6):643–659CrossRef
Zurück zum Zitat Martin CD, Kaiser PK, McCreath DR (1999) Hoek–Brown parameters for predicting the depth of brittle failure around tunnels. Can Geotech J 36(1):136–151CrossRef Martin CD, Kaiser PK, McCreath DR (1999) Hoek–Brown parameters for predicting the depth of brittle failure around tunnels. Can Geotech J 36(1):136–151CrossRef
Zurück zum Zitat Minkley W, Menzel W, Konietzky H, te Kamp L (2001) A visco-elasto-plastic softening model and its application for solving static and dynamic stability problems in potash mining. In: Proceedings of 2nd international FLAC symposium, Lyon Minkley W, Menzel W, Konietzky H, te Kamp L (2001) A visco-elasto-plastic softening model and its application for solving static and dynamic stability problems in potash mining. In: Proceedings of 2nd international FLAC symposium, Lyon
Zurück zum Zitat Nicksiar M, Martin CD (2012) Evaluation of methods for determining crack initiation in compression tests on low-porosity rocks. J Rock Mech Rock Eng 45(4):607–617CrossRef Nicksiar M, Martin CD (2012) Evaluation of methods for determining crack initiation in compression tests on low-porosity rocks. J Rock Mech Rock Eng 45(4):607–617CrossRef
Zurück zum Zitat Ottosen NS (1986) Visco-elastic-viscoplastic formulas for analysis in rock salt cavities. Int J Rock Mech Min Struct Geomech Abstr 23(3):201–212CrossRef Ottosen NS (1986) Visco-elastic-viscoplastic formulas for analysis in rock salt cavities. Int J Rock Mech Min Struct Geomech Abstr 23(3):201–212CrossRef
Zurück zum Zitat Palmstrom A (1995) RMi—a rockmass characterization system for rock engineering purposes. Ph.D. thesis. University of Oslo, Norway, p 400 Palmstrom A (1995) RMi—a rockmass characterization system for rock engineering purposes. Ph.D. thesis. University of Oslo, Norway, p 400
Zurück zum Zitat Paraskevopoulou C (2016) Time-dependency of rocks and implications associated with tunnelling. Ph.D. thesis Paraskevopoulou C (2016) Time-dependency of rocks and implications associated with tunnelling. Ph.D. thesis
Zurück zum Zitat Paraskevopoulou C, Benardos A (2013) Assessing the construction cost of tunnel projects. Tunn Undergr Space Technol 38:497–505CrossRef Paraskevopoulou C, Benardos A (2013) Assessing the construction cost of tunnel projects. Tunn Undergr Space Technol 38:497–505CrossRef
Zurück zum Zitat Paraskevopoulou C, Perras M, Diederichs MS, Amaan F, Löw S, Lam T (2015) Long-term static load laboratory testing behaviour of different rock types. In: Proceedings of the Canadian geotechnical symposium GeoQuebec on challenges from North to South. Quebec Paraskevopoulou C, Perras M, Diederichs MS, Amaan F, Löw S, Lam T (2015) Long-term static load laboratory testing behaviour of different rock types. In: Proceedings of the Canadian geotechnical symposium GeoQuebec on challenges from North to South. Quebec
Zurück zum Zitat Paraskevopoulou C, Perras M, Diederichs MS, Löw S (2017) The three stages of stress-relaxation - observations for the long-term behaviour of rocks based on laboratory testing. J Eng Geol 216:56–75CrossRef Paraskevopoulou C, Perras M, Diederichs MS, Löw S (2017) The three stages of stress-relaxation - observations for the long-term behaviour of rocks based on laboratory testing. J Eng Geol 216:56–75CrossRef
Zurück zum Zitat Pellet FL (2010) Large time–dependent convergences in a tunnel excavated in a carboniferous rockmass. In: Proceeding of the 6th Asian rock mechanics symposium, New Delhi, India, No 79 Pellet FL (2010) Large time–dependent convergences in a tunnel excavated in a carboniferous rockmass. In: Proceeding of the 6th Asian rock mechanics symposium, New Delhi, India, No 79
Zurück zum Zitat Pellet F, Hajdu A, Deleruyelle F, Bensus F (2005) A visco-plastic model including anisotropic damage for the time-dependent behaviour of rock. Int J Numer Anal Methods Geomech 29:941–970CrossRef Pellet F, Hajdu A, Deleruyelle F, Bensus F (2005) A visco-plastic model including anisotropic damage for the time-dependent behaviour of rock. Int J Numer Anal Methods Geomech 29:941–970CrossRef
Zurück zum Zitat Peng SS (1973) Relaxation and the behaviour of failed rock. Int J Rock Mech Min Sci Geomech 10:235–246CrossRef Peng SS (1973) Relaxation and the behaviour of failed rock. Int J Rock Mech Min Sci Geomech 10:235–246CrossRef
Zurück zum Zitat Perras MA, Diederichs MS (2014) A review of the tensile strength of rock: concepts and testing. J Geotech Geol Eng 32:525–546CrossRef Perras MA, Diederichs MS (2014) A review of the tensile strength of rock: concepts and testing. J Geotech Geol Eng 32:525–546CrossRef
Zurück zum Zitat Perras MA, Diederichs MS (2016) Predicting excavation damage zone depth in brittle rock. J Rock Mech Geotech Eng 8(1):60–74CrossRef Perras MA, Diederichs MS (2016) Predicting excavation damage zone depth in brittle rock. J Rock Mech Geotech Eng 8(1):60–74CrossRef
Zurück zum Zitat Perzyna P (1966) Fundamental problems in viscoplasticity. Adv Appl Mech 9(2):244–368 Perzyna P (1966) Fundamental problems in viscoplasticity. Adv Appl Mech 9(2):244–368
Zurück zum Zitat Pimienta L, Fortin J, Gueguen Y (2014) Investigation of elastic weakening in limestone and sandstone samples from moisture adsorption. Int J Geophys 199:335–347CrossRef Pimienta L, Fortin J, Gueguen Y (2014) Investigation of elastic weakening in limestone and sandstone samples from moisture adsorption. Int J Geophys 199:335–347CrossRef
Zurück zum Zitat Podnieks ER, Chamberlain PG, Thill RE (1968) Environmental effects on rock properties. In: Proceedings of the tenth symposium of rock mechanics, University of Missouri at Rolla Podnieks ER, Chamberlain PG, Thill RE (1968) Environmental effects on rock properties. In: Proceedings of the tenth symposium of rock mechanics, University of Missouri at Rolla
Zurück zum Zitat Potyondy D (2007) Simulating stress corrosion with a bonded-particle model for rock. Int J Rock Mech Min Sci 44:677–693CrossRef Potyondy D (2007) Simulating stress corrosion with a bonded-particle model for rock. Int J Rock Mech Min Sci 44:677–693CrossRef
Zurück zum Zitat Rahman SS, Kagan M, Marx C (1992) Prediction of borehole stability in tar sands with the use of a rheological model. J Energy Sources 14:225–240CrossRef Rahman SS, Kagan M, Marx C (1992) Prediction of borehole stability in tar sands with the use of a rheological model. J Energy Sources 14:225–240CrossRef
Zurück zum Zitat Schmidtke H, Lajtai Z (1985) The long-term strength of Lac du Bonnet granite. J Rock Mech Min Sci Geotech 22:461–465CrossRef Schmidtke H, Lajtai Z (1985) The long-term strength of Lac du Bonnet granite. J Rock Mech Min Sci Geotech 22:461–465CrossRef
Zurück zum Zitat Scholz CH (1968) Mechanism of creep in brittle rock. J Geophys Res 73(10):3295–3302CrossRef Scholz CH (1968) Mechanism of creep in brittle rock. J Geophys Res 73(10):3295–3302CrossRef
Zurück zum Zitat Sharifzadeh M, Tarifard A, Moridi MA (2013) Time-dependent behaviour of tunnel lining in weak rockmass based on displacement back analysis method. J Tunn Undergr Space Technol 38:348–356CrossRef Sharifzadeh M, Tarifard A, Moridi MA (2013) Time-dependent behaviour of tunnel lining in weak rockmass based on displacement back analysis method. J Tunn Undergr Space Technol 38:348–356CrossRef
Zurück zum Zitat Singh DP (1975) A study of creep of rocks. Int J Rock Mech Sci Geomech 12:271–276CrossRef Singh DP (1975) A study of creep of rocks. Int J Rock Mech Sci Geomech 12:271–276CrossRef
Zurück zum Zitat Singh AK, Balasingh C, Mao H-K, Hemley RJ, Shu J (1998) Analysis of lattice strains measured under nonhydrostatic pressure. J Appl Phys 83:7567–7575CrossRef Singh AK, Balasingh C, Mao H-K, Hemley RJ, Shu J (1998) Analysis of lattice strains measured under nonhydrostatic pressure. J Appl Phys 83:7567–7575CrossRef
Zurück zum Zitat Sofianos A, Nomikos P (2008) Advanced rock mechanics, course notes, N.T.U.A Sofianos A, Nomikos P (2008) Advanced rock mechanics, course notes, N.T.U.A
Zurück zum Zitat Stagg KG, Zienkiewicz OC (1986) Rock mechanics in engineering practice. Wiley, New York Stagg KG, Zienkiewicz OC (1986) Rock mechanics in engineering practice. Wiley, New York
Zurück zum Zitat Sterpi D, Gioda G (2009) Visco-plastic behaviour around advancing tunnels in squeezing rock. J Rock Mech Rock Eng 42:319–339CrossRef Sterpi D, Gioda G (2009) Visco-plastic behaviour around advancing tunnels in squeezing rock. J Rock Mech Rock Eng 42:319–339CrossRef
Zurück zum Zitat Van P, Szarka Z (2006) Rock rheology—time dependence of dilation and stress around a tunnel. In: Proceedings of the international symposium of the international society for rock mechanics, Eurock 2006, Belgium Van P, Szarka Z (2006) Rock rheology—time dependence of dilation and stress around a tunnel. In: Proceedings of the international symposium of the international society for rock mechanics, Eurock 2006, Belgium
Zurück zum Zitat Wawesik WR (1972) Time-dependent rock behaviour in uniaxial compression. In: Proceedings of 14th rock mechanics symposium, University of Pennsylvania, pp 85–106 Wawesik WR (1972) Time-dependent rock behaviour in uniaxial compression. In: Proceedings of 14th rock mechanics symposium, University of Pennsylvania, pp 85–106
Zurück zum Zitat Weaver SH (1936) Creep curve of steel. Trans Am Soc Mech Eng, LVIII, pp 745–751 Weaver SH (1936) Creep curve of steel. Trans Am Soc Mech Eng, LVIII, pp 745–751
Zurück zum Zitat Widd BL (1966) The time-dependent behaviour of rock; Considerations with regard to a research program. CSIR report MEG 514, Rock Mechanics Division, National Mechanical Engineering Research Institute, Pretoria, South Africa Widd BL (1966) The time-dependent behaviour of rock; Considerations with regard to a research program. CSIR report MEG 514, Rock Mechanics Division, National Mechanical Engineering Research Institute, Pretoria, South Africa
Zurück zum Zitat Widd BL (1970) The influence of moisture on the pre-rupture fracturing of two rock types. In: Proceedings 2nd congress international society for rock mechanics, Belgrade, vol 2, pp 239–245 Widd BL (1970) The influence of moisture on the pre-rupture fracturing of two rock types. In: Proceedings 2nd congress international society for rock mechanics, Belgrade, vol 2, pp 239–245
Zurück zum Zitat Zhang H, Wang Z, Zheng Y, Duan P, Ding S (2012) Study on tri-axial creep experiment and constitutive relation of different rock salt. Saf Sci 50(4):801–815.CrossRef Zhang H, Wang Z, Zheng Y, Duan P, Ding S (2012) Study on tri-axial creep experiment and constitutive relation of different rock salt. Saf Sci 50(4):801–815.CrossRef
Zurück zum Zitat Zhifa Y, Zhiyin W, Luqing Z, Ruiguang Z, Nianxing X (2001) Back-analysis of visco-elastic displacements in a soft rock road tunnel. Int J of Rock Mech Min Sci 38:331–341CrossRef Zhifa Y, Zhiyin W, Luqing Z, Ruiguang Z, Nianxing X (2001) Back-analysis of visco-elastic displacements in a soft rock road tunnel. Int J of Rock Mech Min Sci 38:331–341CrossRef
Metadaten
Titel
Time-Dependent Behaviour of Brittle Rocks Based on Static Load Laboratory Tests
verfasst von
Chrysothemis Paraskevopoulou
Matthew Perras
Mark Diederichs
Simon Loew
Tom Lam
Mark Jensen
Publikationsdatum
22.08.2017
Verlag
Springer International Publishing
Erschienen in
Geotechnical and Geological Engineering / Ausgabe 1/2018
Print ISSN: 0960-3182
Elektronische ISSN: 1573-1529
DOI
https://doi.org/10.1007/s10706-017-0331-8

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