05 Oct 2023
| 05 Oct 2023
Rate-dependence of the compressive and tensile strength of granites
Jackie E. Kendrick
CORRESPONDING AUTHOR
Department of Earth and Environmental Sciences, Ludwig-Maximilian-Universität München, Munich, 80333, Germany
School of Geosciences, University of Edinburgh,
Edinburgh, EH9 3FE, UK
Anthony Lamur
Department of Earth and Environmental Sciences, Ludwig-Maximilian-Universität München, Munich, 80333, Germany
Julien Mouli-Castillo
School of Geosciences, University of Edinburgh,
Edinburgh, EH9 3FE, UK
Department of Earth Sciences, Durham University, Durham, DH1 3LE, UK
Andrew P. Fraser-Harris
School of Geosciences, University of Edinburgh,
Edinburgh, EH9 3FE, UK
Alexander Lightbody
School of Geosciences, University of Edinburgh,
Edinburgh, EH9 3FE, UK
Katriona Edlmann
School of Geosciences, University of Edinburgh,
Edinburgh, EH9 3FE, UK
Christopher McDermott
School of Geosciences, University of Edinburgh,
Edinburgh, EH9 3FE, UK
Zoe Shipton
Department of Civil and Environmental Engineering, University of
Strathclyde, Glasgow, G1 1XJ, UK
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Cited articles
Alatorre-Ibargüengoitia, M. A., Scheu, B., Dingwell, D. B.,
Delgado-Granados, H., and Taddeucci, J.: Energy consumption by magmatic
fragmentation and pyroclast ejection during Vulcanian eruptions, Earth
Planet. Sci. Lett., 291, 60–69, https://doi.org/10.1016/j.epsl.2009.12.051, 2010.
Alneasan, M., Behnia, M., and Alzo'ubi, A. K.: Experimental observations on
the effect of strain rate on rock tensile fracturing,
Int. J. Rock Mech. Min., 160, 105256, https://doi.org/10.1016/j.ijrmms.2022.105256, 2022.
Ashby, M. F., and Sammis, C. G.: The damage mechanics of brittle solids in
compression, Pure Appl. Geophys., 133, 489–521, https://doi.org/10.1007/BF00878002,
1990.
ASTM: D3967-08, Standard test method for splitting tensile strength of
intact rock core specimens., ASTM International, West Conshohocken, USA,
https://doi.org/10.1520/D3967-08, 2008.
ASTM: D7012-14e1, Standard Test Methods for Compressive Strength and Elastic
Moduli of Intact Rock Core Specimens under Varying States of Stress and
Temperatures, ASTM International, West Conshohocken, USA,
https://doi.org/10.1520/D7012-14E01, 2014.
Bieniawski, Z. T. and Bernede, M. J.: Suggested methods for determining the
uniaxial compressive strength and deformability of rock materials: Part 1.
Suggested method for determining deformability of rock materials in uniaxial
compression, Int. J. Rock Mech. Min., 16, 138–140, https://doi.org/10.1016/0148-9062(79)91451-7, 1979.
Brantut, N., Baud, P., Heap, M. J., and Meredith, P. G.: Micromechanics of
brittle creep in rocks, J. Geophys. Res.-Solid Earth, 117, B08412,
https://doi.org/10.1029/2012JB009299, 2012.
Brantut, N., Heap, M. J., Meredith, P. G., and Baud, P.: Time-dependent
cracking and brittle creep in crustal rocks: A review, J. Struct.
Geol., 52, 17–43, https://doi.org/10.1016/j.jsg.2013.03.007,
2013.
Brantut, N., Heap, M. J., Baud, P., and Meredith, P. G.: Rate- and
strain-dependent brittle deformation of rocks, J. Geophys.
Res.-Solid Earth, 119, 1818–1836, https://doi.org/10.1002/2013JB010448, 2014.
Das, S., and Scholz, C. H.: Theory of time-dependent rupture in the earth,
J. Geophys. Res., 86, 6039–6051, 1981.
Diederichs, M., Kaiser, P., and Eberhardt, E.: Damage initiation and
propagation in hard rock during tunneling and the influence of near-face
stress rotation, Int. J. Rock Mech. Min. Sci., 41, 785–812, https://doi.org/10.1016/j.ijrmms.2004.02.003,
2004.
Dieterich, J. H.: Time-dependent friction in rocks, J. Geophys.
Res. (1896–1977), 77, 3690–3697, https://doi.org/10.1029/JB077i020p03690, 1972.
Du, K., Sun, Y., Zhou, J., Khandelwal, M., and Gong, F.: Mineral Composition
and Grain Size Effects on the Fracture and Acoustic Emission (AE)
Characteristics of Rocks Under Compressive and Tensile Stress, Rock
Mech. Rock Eng., 55, 6445–6474, https://doi.org/10.1007/s00603-022-02980-y,
2022.
Dusseault, M. B. and Fordham, C. J.: 6 – Time-dependent Behavior of Rocks,
in: Rock Testing and Site Characterization, edited by: Hudson, J. A.,
Pergamon, Oxford, 119–149, 1993.
Gong, F., Zhang, L., and Wang, S.: Loading Rate Effect of Rock Material with
the Direct Tensile and Three Brazilian Disc Tests, Adv. Civil
Eng., 2019, 6260351, https://doi.org/10.1155/2019/6260351, 2019a.
Gong, F.-Q., Si, X.-F., Li, X.-B., and Wang, S.-Y.: Dynamic triaxial
compression tests on sandstone at high strain rates and low confining
pressures with split Hopkinson pressure bar, Int. J. Rock
Mech. Min. Sci., 113, 211–219, https://doi.org/10.1016/j.ijrmms.2018.12.005, 2019b.
Healy, D., Timms, N. E., and Pearce, M. A.: The variation and visualisation
of elastic anisotropy in rock-forming minerals, Solid Earth, 11, 259–286,
https://doi.org/10.5194/se-11-259-2020, 2020.
Heap, M. J., Baud, P., Meredith, P. G., Vinciguerra, S., Bell, A. F., and
Main, I. G.: Brittle creep in basalt and its application to time-dependent
volcano deformation, Earth Planet. Sci. Lett., 307, 71–82,
https://doi.org/10.1016/j.epsl.2011.04.035, 2011.
Hirose, T. and Shimamoto, T.: Growth of molten zone as a mechanism of slip
weakening of simulated faults in gabbro during frictional melting, J. Geophys. Res.-Solid Earth, 110, B05202, https://doi.org/10.1029/2004jb003207,
2005.
Hofmann, H., Zimmermann, G., Zang, A., and Min, K.-B.: Cyclic soft
stimulation (CSS): a new fluid injection protocol and traffic light system
to mitigate seismic risks of hydraulic stimulation treatments,
Geothermal Energy, 6, 27, https://doi.org/10.1186/s40517-018-0114-3, 2018.
Hornby, A. J., Lavallée, Y., Kendrick, J. E., De Angelis, S., Lamur, A.,
Lamb, O. D., Rietbrock, A., and Chigna, G.: Brittle-Ductile Deformation and
Tensile Rupture of Dome Lava During Inflation at Santiaguito, Guatemala,
J. Geophys. Res.-Solid Earth, 124, 10107–10131,
https://doi.org/10.1029/2018JB017253, 2019.
ISRM: Suggested methods for determining tensile strength of rock materials,
International J. Rock Mech. Min. Sci.
Geomech. Abstracts, 15, 99–103, https://doi.org/10.1016/0148-9062(78)90003-7, 1978.
Jackson, R. B.: The integrity of oil and gas wells, P. Natl. Acad. Sci. USA, 111, 10902–10903, https://doi.org/10.1073/pnas.1410786111, 2014.
Lamur, A., Kendrick, J. E., Schaefer, L. N., Lavallée, Y., and Kennedy,
B. M.: Damage amplification during repetitive seismic waves in mechanically
loaded rocks, Sci. Rep., 13, 1271, https://doi.org/10.1038/s41598-022-26721-x,
2023.
Lavallée, Y. and Kendrick, J. E.: Chapter 5 - A review of the physical
and mechanical properties of volcanic rocks and magmas in the brittle and
ductile regimes, in: Forecasting and Planning for Volcanic Hazards, Risks,
and Disasters, edited by: Papale, P., Elsevier, 153-238, 2021.
Li, D. and Wong, L. N. Y.: The Brazilian Disc Test for Rock Mechanics
Applications: Review and New Insights, Rock Mech. Rock Eng.,
46, 269–287, https://doi.org/10.1007/s00603-012-0257-7, 2013.
Li, J., Wang, M., Xia, K., Zhang, N., and Huang, H.: Time-dependent
dilatancy for brittle rocks, J. Rock Mech. Geotech.
Eng., 9, 1054–1070, https://doi.org/10.1016/j.jrmge.2017.08.002, 2017.
Ma, X., Westman, E., Counter, D., Malek, F., and Slaker, B.: Passive Seismic
Imaging of Stress Evolution with Mining-Induced Seismicity at Hard-Rock Deep
Mines, Rock Mech. Rock Eng., 53, 2789–2804,
https://doi.org/10.1007/s00603-020-02076-5, 2020.
Nazir, R., Momeni, E., Armaghani, D. J., and Amin, M. M.: Correlation
between unconfined compressive strength and indirect tensile strength of
limestone rock samples, Electron J. Geotech. Eng., 18, 1737–1746, 2013.
Ojala, I. O., Main, I. G., and Ngwenya, B. T.: Strain rate and temperature
dependence of Omori law scaling constants of AE data: Implications for
earthquake foreshock-aftershock sequences, Geophys. Res. Lett., 31, L24617,
https://doi.org/10.1029/2004GL020781, 2004.
Paterson, M. S. and Wong, T. F.: Experimental Rock Deformation - The
Brittle Field, 2nd ed., Springer, Berlin Heidelberg, 347 pp., https://doi.org/10.1016/j.ijrmms.2008.07.001, 2005.
Perras, M. A. and Diederichs, M. S.: A Review of the Tensile Strength of
Rock: Concepts and Testing, Geotech. Geol. Eng., 32,
525–546, https://doi.org/10.1007/s10706-014-9732-0, 2014.
Petrov, Y. V., Karihaloo, B. L., Bratov, V. V., and Bragov, A. M.:
Multi-scale dynamic fracture model for quasi-brittle materials,
Int. J. Eng. Sci., 61, 3–9, https://doi.org/10.1016/j.ijengsci.2012.06.004, 2012.
Renard, F., McBeck, J., Kandula, N., Cordonnier, B., Meakin, P., and
Ben-Zion, Y.: Volumetric and shear processes in crystalline rock approaching
faulting, P. Natl. Acad. Sci. USA, 116, 16234–16239,
https://doi.org/10.1073/pnas.1902994116, 2019.
Renshaw, C. E. and Harvey, C. F.: Propagation velocity of a natural
hydraulic fracture in a poroelastic medium, J. Geophy. Res.-Solid Earth, 99, 21667–21677, https://doi.org/10.1029/94JB01255, 1994.
Rutter, E. H.: On the nomenclature of mode of failure transitions in rocks,
Tectonophysics, 122, 381–387, https://doi.org/10.1016/0040-1951(86)90153-8, 1986.
Schild, M., Siegesmund, S., Vollbrecht, A., and Mazurek, M.:
Characterization of granite matrix porosity and pore-space geometry by in
situ and laboratory methods, Geophys. J. Int., 146,
111–125, https://doi.org/10.1046/j.0956-540x.2001.01427.x, 2001.
Scholz, C. H.: Microfracturing and the inelastic deformation of rock in
compression, J. Geophys. Res., 73, 1417–1432, 1968.
Scholz, C. H. and Koczynski, T. A.: Dilatancy anisotropy and the response
of rock to large cyclic loads, J. Geophys. Res.-Solid Earth,
84, 5525–5534, https://doi.org/10.1029/JB084iB10p05525, 1979.
Vollbrecht, A., Rust, S., and Weber, K.: Development of microcracks in
granites during cooling and uplift: examples from the Variscan basement in
NE Bavaria, Germany, J. Struct. Geol., 13, 787–799, https://doi.org/10.1016/0191-8141(91)90004-3, 1991.
Wang, F. and Kaunda, R.: Assessment of rockburst hazard by quantifying the
consequence with plastic strain work and released energy in numerical
models, Int. J. Min. Sci. Technol., 29, 93–97,
https://doi.org/10.1016/j.ijmst.2018.11.023, 2019.
Xu, X., Chi, L. Y., Yang, J., and Zhang, Z.-X.: A modified incubation time
criterion for dynamic fracture of rock considering whole stress history,
Int. J. Rock Mech. Min. Sci., 164, 105361,
https://doi.org/10.1016/j.ijrmms.2023.105361, 2023.
Zhuang, L. and Zang, A.: Laboratory hydraulic fracturing experiments on
crystalline rock for geothermal purposes, Earth-Sci. Rev., 216,
103580, https://doi.org/10.1016/j.earscirev.2021.103580, 2021.
Short summary
By testing the strength of granite in compression and tension at a range of deformation rates, we found that the strength increases with faster deformation. This observation highlights that at these rates, relevant for example to geothermal exploration, we have to consider how the rate of deformation impacts the energy released when rocks crack. The results are promising for developing safe procedures for extracting resources from the subsurface.
By testing the strength of granite in compression and tension at a range of deformation rates,...
