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The influence of temperature and confining pressure on the cracks damage threshold and shape parameter m of igneous rock

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Abstract

Determining rock damage thresholds is of great significance in predicting rock fracture. In this study, the relation among crack damage stress threshold (σcd), peak strength (σucs) and shape parameter m was observed. The impact imposed by temperature and confining pressure on m was then examined. The results show that there is an approximate linear relationship between σcd and σucs. Therefore, the normalized quantity σcd/σucs is considered one quantitative indicator useful in evaluating rock damage. The research performed uniaxial compression tests on gabbro specimens heated using microwaves. It is found that σucs and σcd decrease gradually with increases in irradiation energy for gabbro samples; with identical irradiation energy, higher heating power leads to faster decrease of m. We also collected data from previous studies on igneous rock damage. It is found that, with increases in m, σcd/σucs increases, but overall, the ratio is not sensitive to m and m is primarily distributed between 1 and 4; further, m decreases with increases in temperature—at 600 °C and 800 °C, m decreases significantly, which has close connections with quartz phase transition. Subject to low confining pressure, m grows as confining pressure grows. If the confining pressure rises beyond 40 MPa, the plastic characteristics of the rock are enhanced which causes m to decrease.

Article Highlights

  • For gabbro samples heated by microwaves, as irradiation energy increases, both σucs and σcd progressively reduce. Subject to the identical irradiation energy, higher heating power results in faster decrease in the value of m.

  • The value of σcd/σucs increases with shape parameter m, but overall, the ratio is not sensitive to m and m is primarily distributed between 1 and 4.

  • For different types of igneous rock samples, m decreases with increases in temperature. In particular, at 600 °C and 800 °C, the m decreases significantly.

  • Under low confining pressure, m increases as confining pressure increases. As long as the confining pressure surmounts 40 MPa, the plastic characteristics of the rock are enhanced and the m begins to decrease.

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References

  • Badulla I, Ranjith G, Tharaka R, Mandadige P, Dornadula C, Wanniarachchige K (2018) An influence of thermally-induced micro-cracking under cooling treatments: mechanical characteristics of Australian granite. Energies 11(6):1338

    Article  Google Scholar 

  • Bieniawski ZT (1967a) Mechanism of brittle fracture of rock: part I—theory of the fracture process. Int J Rock Mech Min Sci Geomech Abstr 4:395–406

    Article  Google Scholar 

  • Bieniawski ZT (1967b) Mechanism of brittle fracture of rock: part II—experimental studies. Int J Rock Mech Min Sci Geomech Abstr 4:407–423

    Article  Google Scholar 

  • Brace WF, Paulding BW, Scholz C (1966) Dilatancy in the fracture of crystalline rocks. J Geophys Res 71(16):3939–3953

    Article  Google Scholar 

  • Cao WG, Fang ZL, Tang XJ (1998) A study of statistical constitutive model for soft and damage rock. Chin J Rock Mech Eng 17(6):628–633 (in Chinese)

    Google Scholar 

  • Chen L, Liu JF, Wang CP, Wang XY, Su R, Wang J, Shao JF (2013) Elastoplastic damage model of Beishan deep granite. Chin J Rock Mech Eng 32(2):289–298 (in Chinese)

    Google Scholar 

  • Chen G, Wang J, Li J, Li T, Zhang H (2018) Influence of temperature on crack initiation and propagation in granite. Int J Geomech 18(8):04018094

    Article  Google Scholar 

  • Eberhardt E, Stead D, Stimpson B, Read R (1997) Changes in acoustic event properties with progressive fracture damage. Int J Rock Mech Min Sci Geomech Abstr 34:71. e1-71.e12

    Article  Google Scholar 

  • Eberhardt E, Stead D, Stimpson B, Read R (1998) Identifying crack initiation and propagation thresholds in brittle rock. Can Geotech J 35:222–233

    Article  Google Scholar 

  • Eloranta P (2015) ONKALO POSE Experiment - Uniaxial Compressive Strength Test Results: 120 mm Diameter Samples from the Experimental Holes. (Working Report, No. 2015-16). POSIVA OY

  • Ghasemi S, Khamehchiyan M, Taheri A, Nikudel MR, Zalooli A (2020) Crack evolution in damage stress thresholds in different minerals of granite rock. Rock Mech Rock Eng 53(3):1163–1178

    Article  Google Scholar 

  • Guo LL, Zhang YB, Zhang YJ, Yu ZW, Zhang JN (2018) Experimental investigation of granite properties under different temperatures and pressures and numerical analysis of damage effect in enhanced geothermal system. Renew Energ 126:107–125

    Article  Google Scholar 

  • Hartlieb P, Toifl M, Kuchar F, Meisels R, Antretter T (2016) Thermo-physical properties of selected hard rocks and their relation to microwave-assisted comminution. Miner Eng 91:34–41

    Article  Google Scholar 

  • Hassani F, Nekoovaght PM, Gharib N (2016) The influence of microwave irradiation on rocks for microwave-assisted underground excavation. J Rock Mech Geotech Eng 8(1):1–15

    Article  Google Scholar 

  • Heaney PJ (1994) Structure and chemistry of the low-pressure silica polymorphs. Rev Mineral Geochem 29(1):1–40

    Google Scholar 

  • Heuze FE (1981) Geotechnical modeling of high-level nuclear waste disposal by rock melting. Lawrence Livermore National Lab., CA (USA)

  • Hidalgo KP, Nordlund E (2013) Comparison between stress and strain quantities of the failure–deformation process of fennoscandian hard rocks using geological information. Rock Mech Rock Eng 46(1):41–51

    Article  Google Scholar 

  • Huang Z, Zeng W, Wu Y, Li S, Gu Q, Zhao K (2021) Effects of temperature and acid solution on the physical and tensile mechanical properties of red sandstones. Environ Sci Pollut R 28:20608–20623

    Article  Google Scholar 

  • Isaka BLA, Ranjith PG, Rathnaweera T, Perera S, Silva RD (2019a) Quantification of thermally-induced microcracks in granite using x-ray ct imaging and analysis. Geothermics 81:152–167

    Article  Google Scholar 

  • Isaka BLA, Ranjith PG, Rathnaweera TD, Perera MSA, Kumari WGP (2019b) Influence of long-term operation of supercritical carbon dioxide based enhanced geothermal system on mineralogical and microstructurally-induced mechanical alteration of surrounding rock mass. Renew Energ 136:428–441

    Article  Google Scholar 

  • Kahraman S, Canpolat AN, Fener M, Kilic CO (2020) The assessment of the factors affecting the microwave heating of magmatic rocks. Geomech Geophys Geo 6(4):1–16

    Google Scholar 

  • Kim J, Lee K, Cho W, Choi H, Cho G (2015) A comparative evaluation of stress–strain and acoustic emission methods for quantitative damage assessments of brittle rock. Rock Mech Rock Eng 48(2):495–508

    Article  Google Scholar 

  • Kumari WGP, Beaumont DM, Ranjith PG, Perera MSA, Avanthi Isaka BL, Khandelwal M (2019) An experimental study on tensile characteristics of granite rocks exposed to different high-temperature treatments. Geomech Geophys Geo 5:47–64

    Article  Google Scholar 

  • Lajtai EZ, Lajtai VN (1974) The evolution of brittle fracture in rocks. J Geol Soc Lond 130:1–16

    Article  Google Scholar 

  • Li XW, Jiang CL, Liu WP, Ji M (2011) Rock damage constitutive equation based on Weibull distribution of intensity. Appl Mech Mater 90:565–569

    Google Scholar 

  • Lockner DA (1993) The role of acoustic emission in the study of rock fracture. Int J Rock Mech Min Geomech Abstr 30(7):883–899

    Article  Google Scholar 

  • Martin CD, Chandler NA (1994) The progressive fracture of Lac du Bonnet granite. Int J Rock Mech Min Sci Geomech Abstr 31:643–659

    Article  Google Scholar 

  • Meisels R, Toifl M, Hartlieb P, Kuchar F, Antretter T (2015) Microwave propagation and absorption and its thermo-mechanical consequences in heterogeneous rocks. Int J Min Process 135:40–51

    Article  Google Scholar 

  • Min M (2019) Experimental study on high temperature mechanical properties of Beishan granite. Jiangsu: China U Min Tech (in Chinese)

  • Moradian Z, Einstein HH, Ballivy G (2016) Detection of cracking levels in brittle rocks by parametric analysis of the acoustic emission signals. Rock Mech Rock Eng 49(3):785–800

    Article  Google Scholar 

  • Nakamura AM, Michel P, Setoh M (2007) Weibull parameters of Yakuno basalt targets used in documented high-velocity impact experiments. J Geophys Res-Atmos 112(e2)

  • Nicksiar M, Martin CD (2012) Evaluation of methods for determining crack initiation in compression tests on low-porosity rocks. Rock Mech Rock Eng 45(4):607–617

    Article  Google Scholar 

  • Okrusch M, Matthes S (2013) Mineralogie: eine Einführung in die spezielle Mineralogie, Petrologie und Lagerstättenkunde. Springer-Verlag

  • Pan XH, Lü Q (2018) A quantitative strain energy indicator for predicting the failure of laboratory-scale rock samples: application to shale rock. Rock Mech Rock Eng 4:1–19

    Google Scholar 

  • Pan XH, Xiong QQ, Wu ZJ (2018) A quantitative strain energy indicator for predicting the failure of laboratory-scale rock samples: application to shale rock. Int J Geomech 18(6):04018034

    Article  Google Scholar 

  • Pellet FL, Keshavarz M, Amini-Hosseini K (2011) Mechanical damage of a crystalline rock having experienced ultra high deviatoric stress up to 1.7 GPa. Int J Rock Mech Min Sci 48(8):1364–1368

    Article  Google Scholar 

  • Peng J, Yang SQ (2018) Comparison of mechanical behavior and acoustic emission characteristics of three thermally-damaged rocks. Energies 11(9):2350

  • Rong G, Peng J, Cai M, Yao M, Zhou C, Sha S (2018) Experimental investigation of thermal cycling effect on physical and mechanical properties of bedrocks in geothermal fields. Appl Therm Eng 141:174–185

    Article  Google Scholar 

  • Shao S, Ranjith PG, Wasantha PLP, Chen BK (2015) Experimental and numerical studies on the mechanical behaviour of Australian Strathbogie granite at high temperatures: an application to geothermal energy. Geothermics 54:96–108

    Article  Google Scholar 

  • Siegesmund S, Mosch S, Scheffzük C, Nikolayev D (2008) The bowing potential of granitic rocks: rock fabrics, thermal properties and residual strain. Environ Geol 55(7):1437–1448

    Article  Google Scholar 

  • Somerton WH, Selim MA (1961) Additional thermal data for porous rocks-thermal expansion and heat of reaction. Soc Petrol Eng J 1(04):249–253 4(

    Article  Google Scholar 

  • Sun X, Li E, Duan J, Pu S, Zhao Y (2018) Study on acoustic emission characteristics and damage evolution law of beishan granite under triaxial compression. Chin J Rock Mech Eng 37:4234–4244 (in Chinese)

    Google Scholar 

  • Wang ZL, Li YC, Wang JG (2007) A damage-softening statistical constitutive model considering rock residual strength. Comput Geoences 33(1):1–9

    MathSciNet  Google Scholar 

  • Wang Z, He A, Shi G, Mei G (2018) Temperature effect on AE energy characteristics and damage mechanical behaviors of granite. Int J Geomech 18(3):04017163

    Article  Google Scholar 

  • Weibull W (1951) A statistical distribution function of wide applicability. J Appl Mech 18(3):293–297

    Article  MATH  Google Scholar 

  • Wu Y, Huang Z, Zhao K, Zeng W, Gu Q, Zhang R (2020) Unsteady seepage solutions for hydraulic fracturing around vertical wellbores in hydrocarbon reservoirs. Int J Hydrog Energ 45(16):9496–9503

    Article  Google Scholar 

  • Xu XL (2008) Research on the mechanical characteristics and micromechanism of granite under temperature loads. Xuzhou: China U Min Tech (in Chinese)

  • Xu XL (2018) Zhang ZZ (2018) Acoustic emission and damage characteristics of granite subjected to high temperature. Adv Mater Sci Eng 2018(4):1–12

    Google Scholar 

  • Xu XL, Chen L, Zhu XW (2015) Study on the fractal dimension of rock fracture surface after different temperatures. Appl Mech Mater 751:164–169

    Article  Google Scholar 

  • Xu JH, Kang Y, Hu Y, Liu F, Wang Z, Wang XC (2021) Effects of hydrothermal treatment on dynamic properties of granite containing single fissure subject to impact loading. Geomech Geophys Geo 7:32

    Article  Google Scholar 

  • Xue L (2015) A potential stress indicator for failure prediction of laboratory-scale rock samples. Arab J Geosci 8(6):3441–3449

    Article  Google Scholar 

  • Xue L, Qin SQ, Sun Q, Wang YY, Lee LM, Li WC (2014) A study on crack damage stress thresholds of different rock types based on uniaxial compression tests. Rock Mech Rock Eng 47(4):1183–1195

    Article  Google Scholar 

  • Yang MH, Zhao Mh, Cao WG (2005) Method for determining the parameters of statistical damage softening constitutive model for rock. Shuili Xuebao 36(3):345–349 (in Chinese)

    Google Scholar 

  • Yang SQ, Ranjith PG, Jing HW, Tian WL, Ju Y (2017) An experimental investigation on thermal damage and failure mechanical behavior of granite after exposure to different high temperature treatments. Geothermics 65:180–197

    Article  Google Scholar 

  • Zeng W, Huang Z, Wu Y, Li S, Zhang R, Zhao K (2020) Experimental investigation on mining-induced strain and failure characteristics of rock masses of mine floor. Geomat Nat Haz Risk 11(1):491–509

    Article  Google Scholar 

  • Zhang JZ, Zhou XP (2020) AE event rate characteristics of flawed granite: from damage stress to ultimate failure. Geophy J Int 222(2):795–814

    Article  Google Scholar 

  • Zhang T, Li XF, Xu Y (2018) Discrete element simulation of rock failure proceed under confining pressure. Coal Min Technol 23(4):8–14 (in Chinese)

    Article  Google Scholar 

  • Zhao XG, Cai M, Wang J, Li PF, Ma LK (2015) Objective determination of crack initiation stress of brittle rocks under compression using AE measurement. Rock Mech Rock Eng 48(6):2473–2484

    Article  Google Scholar 

  • Zheng YL, Zhao XB, Zhao QH, Li JC, Zhang QB (2020) Dielectric properties of hard rock minerals and implications for microwave-assisted rock fracturing. Geomech Geophys Geo 6(1):1–17

    Google Scholar 

  • Zhou YS, Jiang HK, He CR (2002) Experiments of brittle–plastic transition, modes of instability of Juyongguan granite at different T–P condition. Earthqu Res China 18(4):289–400 (in Chinese)

    Google Scholar 

  • Zhou SW, Xia CC, Zhao HB, Mei SH, Zhou Y (2017) Statistical damage constitutive model for rocks subjected to cyclic stress and cyclic temperature. Acta Geophys 65(5):893–906

    Article  Google Scholar 

  • Zhou HW, Wang ZH, Ren WG, Liu ZL, Liu JF (2019) Acoustic emission based mechanical behaviors of Beishan granite under conventional triaxial compression and hydro-mechanical coupling tests. Int J Rock Mech Min Sci 123:104125

    Article  Google Scholar 

  • Zhu D, Jing H, Yin Q, Ding S, Zhang J (2019) Mechanical characteristics of granite after heating and water-cooling cycles. Rock Mech Rock Eng 53(4):2015–2025

    Article  Google Scholar 

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Acknowledgements

This research was supported by the National Natural Science Foundation of China (Grant Nos. 41972288, 41977249, 42090052).

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Ge, Z., Sun, Q., Xue, L. et al. The influence of temperature and confining pressure on the cracks damage threshold and shape parameter m of igneous rock. Geomech. Geophys. Geo-energ. Geo-resour. 7, 58 (2021). https://doi.org/10.1007/s40948-021-00254-5

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