Abstract
The particle mechanics method is used to simulate the process of thermally induced micro- and macrocracks in granite, to elucidate the mechanisms responsible for temperature-dependent mechanical properties. The numerical results are quantified and compared with existing results from other experimental data in the literature. The results indicate that heating generally reduces the compressive and tensile strengths of granites, first because of increasing thermal stresses, and second because of the generation of tensile microcracks. Rock mechanical properties are reduced in specimens subjected to heating–cooling cycles, solely because of the increase in density of thermally induced tensile microcracks. The presence of a thermal gradient induces the formation of macrocracks, which propagate from relatively cool to relatively warm areas. It is also observed that the boundary condition of the specimen can also affect the development of microcracks.
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Abbreviations
- \(A\) :
-
Area of the parallel bond cross-section
- \(C\) :
-
Specific heat
- \(F^{\text{n}}\) :
-
Normal force carried by the bond
- \(k^{\text{n}}\) :
-
Parallel bond normal stiffness
- \(K\) :
-
Thermal conductivity
- \(l_{\text{p}}\) :
-
Length of the thermal pipe p
- \(L\) :
-
Pipe length
- \(m\) :
-
Thermal mass
- \(n\) :
-
Number of pipes for a single reservoir
- \(N_{\text{b}}\) :
-
Number of disks in the volume of interest
- \(N_{\text{p}}\) :
-
Number of pipes in the volume of interest
- \(Q\) :
-
Power in a pipe
- \(Q_{\text{v}}\) :
-
Intensity of heat source
- \(R\) :
-
Disk radius
- \(\Delta R\) :
-
Radius change
- \(T_{i}\) :
-
Temperature at the reservoir i of the pipe
- \(T_{j}\) :
-
Temperatures at the reservoir j of the pipe
- \(\Delta T\) :
-
Temperature change
- \(V_{\text{b}}\) :
-
Disk volume
- \(\alpha_{\text{t}}\) :
-
Coefficient of linear thermal expansion associated with the disk
- \(\eta\) :
-
Thermal resistance per unit length
- \(\phi\) :
-
Porosity
References
Al-Busaidi A, Hazzard JF, Young RP (2005) Distinct element modeling of hydraulically fractured Lac du Bonnet granite. J Geophys Res 110:B06302
Andersson JC, Martin CD, Stille H (2009) The Äspö pillar stability experiment: part II—rock mass response to coupled excavation-induced and thermal-induced stresses. Int J Rock Mech Min Sci 46:879–895
Araújo RGS, Sousa JLA, Bloch M (1997) Experimental investigation on the influence of temperature on the mechanical properties of reservoir rocks. Int J Rock Mech Min Sci 34:459–466
Brotόns V, Alarcόn JC, Tomás R, Ivorra S (2013) Temperature influence on the physical and mechanical properties of a porous rock: San Julians calcarenite. Eng Geol 167:117–127
Chen YL, Ni J, Shao W, Azzam R (2012) Experimental study on the influence of temperature on the mechanical properties of granite under uni-axial compression and fatigue loading. Int J Rock Mech Min Sci 56:62–66
Cho N, Martin CD, Sego DC (2007) A clumped particle model for rock. Int J Rock Mech Min Sci 44:997–1010
Cho N, Martin CD, Sego DC (2008) Development of a shear zone in brittle rock subjected to direct shear. Int J Rock Mech Min Sci 45:1335–1346
Du SJ, Liu H, Zhi HT, Chen HH (2004) Testing study on mechanical properties of post-high-temperature granite. Chin J Rock Mech Eng 23:2359–2364 (In Chinese)
Duclos R, Paquet J (1991) High-temperature behaviour of basalt—role of temperature and strain rate on compressive strength and KIC toughness of partially glassy basalts at atmospheric pressure. Int J Rock Mech Min Sci Geomech Abstr 28:71–76
Dwivedi RD, Goel RK, Prasad VVR, Sinha A (2008) Thermo-mechanical properties of Indian and other granites. Int J Rock Mech Min Sci 45:303–315
Fei Y (1995) Thermal expansion. In: Ahrens TJ (ed) Mineral physics and crystallography: A handbook of physical constants. AGU, pp 29–44
Ferrero AM, Marini P (2001) Experimental studies on the mechanical behaviour of two thermal cracked marbles. Rock Mech Rock Eng 34:57–66
Ghassemi A (2012) A review of some rock mechanics issues in geothermal reservoir development. Geotech Geol Eng 30:647–664
Hazzard JF, Young RP (2004) Dynamic modelling of induced seismicity. Int J Rock Mech Min Sci 41:1365–1376
Hazzard JF, Young RP, Maxwell SC (2000) Micromechanical modeling of cracking and failure in brittle rocks. J Geophys Res Solid Earth 105:16683–16697
Heuze FE (1983) High-temperature mechanical physical and Thermal properties of granitic rocks—a review. Int J Rock Mech Min Sci Geomech Abstr 20:3–10
Homand-Etienne F, Houpert R (1989) Thermally induced microcracking in granites: characterization and analysis. Int J Rock Mech Min Sci Geomech Abstr 26:125–134
Itasca Consulting Group Inc (2008) PFC2D user’s guide. Minneapolis, MN
Ivars DM, Pierce ME, Darcel C, Reyes-Montes J, Potyondy DO, Young RP, Cundall P (2011) The synthetic rock mass approach for jointed rock mass modelling. Int J Rock Mech Min Sci 48:219–244
Jaeger JC, Cook NGW, Zimmerman RW (2007) Fundamentals of rock mechanics, 4th edn. Blackwell, Oxford
Jansen DP, Carlson SR, Young RP, Hutchins DA (1993) Ultrasonic imaging and acoustic emission monitoring of thermally induced microcracks in Lac du Bonnet Granite. J Geophys Res 98:22231–22243
Keshavarz M, Pellet F, Loret B (2010) Damage and changes in mechanical properties of a gabbro thermally loaded up to 1000 °C. Pure appl Geophys 167:1511–1523
Koca MY, Ozden G, Yavuz AB, Kincal C, Onargan T, Kucuk K (2006) Changes in the engineering properties of marble in fire-exposed columns. Int J Rock Mech Min Sci 43:520–530
Lau JSO, Chandler NA (2004) Innovative laboratory testing. Int J Rock Mech Min Sci 41:1427–1445
Liang W, Xu S, Zhao Y (2006) Experimental study of temperature effects on physical and mechanical characteristics of salt rock. Rock Mech Rock Eng 39:469–482
Lion M, Skoczylas F, Ledesert B (2005) Effects of heating on the hydraulic and poroelastic properties of bourgogne limestone. Int J Rock Mech Min Sci 42:508–520
Luo JA, Wang L (2011) High-temperature mechanical properties of mudstone in the process of underground coal gasification. Rock Mech Rock Eng 44:749–754
Madland MV, Korsnes RI, Risner R (2002) Temperature effects in Brazilian, uniaxial and triaxial compressive tests with high porosity chalk. In: Proceeding SPE Annual Technical Conference and Exhibition, San Antonio, Texas, pp 3683–3693
Morrow C, Lockner D, Moore D, Byerlee J (1981) Permeability of granite in a temperature gradient. J Geophys Res 86:3002–3008
Nasseri MHB, Schubnel A, Young RP (2007) Coupled evolutions of fracture toughness and elastic wave velocities at high crack density in thermally treated Westerly granite. Int J Rock Mech Min Sci 44:601–616
Pettitt W (1998) Acoustic emission source studies of microcracking in rock. Dissertation, Keele University
Potyondy DO, Cundall PA (2004) A bonded-particle model for rock. Int J Rock Mech Min Sci 41:1329–1364
Qiu YP, Lin ZY (2006) Testing study on damage of granite samples after high temperature. Rock Soil Mech 27:1005–1010 (In Chinese)
Ranjith PG, Viete DR, Chen BJ, Perera MSA (2012) Transformation plasticity and the effect of temperature on the mechanical behavior of Hawkesbury sandstone at atmospheric pressure. Eng Geol 151:120–127
Rao QH, Wang Z, Xie HF, Xie Q (2007) Experimental study of properties of sandstone at high temperature. J Cent South Univ Tech 14:478–483
Rutqvist J (2012) The geomechanics of CO2 storage in deep sedimentary formations. Geotech Geol Eng 30:525–551
Sriapai T, Walsri C, Fuenkajorn K (2012) Effects of temperature on compressive and tensile strengths of salt. Sci Asia 38:166–174
Vishal V, Pradhan SP, Singh TN (2011) Tensile strength of rock under elevated temperatures. Geotech Geol Eng 29:1127–1133
Wai RSC, Lo KY, Rowe RK (1982) Thermal stress analysis in rocks with nonlinear properties. Int J Rock Mech Min Sci Geomech Abstr 19:211–220
Wang XQ, Schubnel A, Fortin J, Guéguen Y, Ge HK (2013) Physical properties and brittle strength of thermally cracked granite under confinement. J Geophys Res Solid Earth 118:6099–6112
Wanne TS, Young RP (2008) Bonded-particle modeling of thermally fractured granite. Int J Rock Mech Min Sci 45:789–799
Wu Z, Qin BD, Chen LJ, Luo YJ (2005) Experimental study on mechanical character of sandstone of the upper plank of coal bed under high temperature. Chin J Rock Mech Eng 24:1863–1867 (In Chinese)
Xia M, Zhao C, Hobbs BE (2013) Particle simulation of thermally-induced rock damage with consideration of temperature-dependent elastic modulus and strength. Comput Geotech 55:461–473
Xu XC, Liu QS (2000) A preliminary study on basic mechanical properties for granite at high temperature. Chin J Geotech Eng 22:332–335 (In Chinese)
Xu XL, Kang ZX, Ji M, Ge WX, Chen J (2009) Research of microcosmic mechanism of brittle-plastic transition for granite under high temperature. Proc Earth Planet Sci 1:432–437
Yoon J (2007) Application of experimental design and optimization to PFC model calibration in uniaxial compression simulation. Int J Rock Mech Min Sci 44:871–879
Zhang XP, Wong LNY (2012a) Cracking processes in rock-like material containing a single flaw under uniaxial compression: a numerical study based on parallel bonded-particle model approach. Rock Mech Rock Eng 45:711–737
Zhang XP, Wong LNY (2012b) Crack initiation, propagation and coalescence in rock-like material containing two flaws—a numerical study based on bonded-particle model approach. Rock Mech Rock Eng 46:1001–1021
Zhang LY, Miao XB, Lu AH (2009) Experimental study on the mechanical properties of rocks at high temperature. Sci Chin E Tech Sci 52:641–646
Zhang L, Mao X, Liu R, Guo X, Ma D (2014) The mechanical properties of mudstone at high temperatures: an experimental study. Rock Mech Rock Eng 47:1479–1484
Zhao Y, Wan Z, Feng Z, Yang D, Zhang Y, Qu F (2012) Triaxial compression system for rock testing under high temperature and high pressure. Int J Rock Mech Min Sci 52:132–138
Zhu H, Yan Z, Deng T, Yao J, Zeng L, Qiang J (2006) Testing study on mechanical properties of tuff, granite and breccias after high temperatures. Chin J Rock Mech Eng 25:1945–1950 (In Chinese)
Zuo J, Xie H, Zhou H, Peng S (2010) SEM in situ investigation on thermal cracking behavior of Pingdingshan sandstone at elevated temperature. Geophys J Int 181:593–603
Acknowledgments
This work was financially supported by the National Natural Science Foundation of China (No. 41272279) and Beijing Natural Science Foundation (No. 8152020). I thank Dr. Lanru Jing from the Royal Institute of Technology, Sweden and Prof. Er-xiang Song from Tsinghua University for fruitful discussions and constructive comments. Prof. Alasdair Skelton from Stockholm University is acknowledged for English editing. An anonymous reviewer is acknowledged for the valuable comments.
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Zhao, Z. Thermal Influence on Mechanical Properties of Granite: A Microcracking Perspective. Rock Mech Rock Eng 49, 747–762 (2016). https://doi.org/10.1007/s00603-015-0767-1
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DOI: https://doi.org/10.1007/s00603-015-0767-1