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Coupled Thermo–Mechanical Damage Evolution of Granite under Repeated Heating–Cooling Cycles and the Applications of Mohr–Coulomb and Drucker–Prager Models

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Abstract

Geothermal energy and nuclear waste storage are closely related to typical crystalline rock, granite. Therefore, understanding the thermo–mechanical properties of granite under heating–cooling treatment is critical to deep geological repository and risk assessment. This study presents experimental results with several granite groups under repeated and single heating–cooling cycles up to 1000 °C to study the thermo–mechanical properties of the granite. Young’s modulus and P-wave velocity were used to determine the thermal damage. According to the Weibull statistical distribution function, the resultant thermal damage models were correlated with mechanical damage regarding the Drucker–Prager (DP) and Mohr–Coulomb (MC) failure criteria. Compared with single heating–cooling cycles, the thermo–mechanical properties, peak strain, peak stress, friction angle, cohesion strength, Young’s modulus, bulk density, and P-wave velocity present small changes because of the Kaiser effect (thermal memory). The study shows that the proposed coupled thermo–mechanical damage provides a more accurate description of temperature-induced variations than the conventional thermal and mechanical damage methods. The resulting mechanical damage is more extensive than the thermal damage at low temperatures which, however, dominates beyond the critical temperature of 400 °C. The coupled thermo–mechanical damage simulated by the P-wave velocity as a power trend with temperature becomes more accurate than Young’s modulus as an exponential trend with temperature. The coupled thermal-mechanical calculated by MC failure criterion is much better than the DP failure criterion.

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Acknowledgment

We thank the editor, John Carranza, and five anonymous reviewers for their constructive comments. The research was supported by the National Natural Science Foundation of China (Grant No. 41821002) and the 111 Project “Deep-Superdeep Oil & Gas Geophysical Exploration” (Grant No. B18055).

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Authors and Affiliations

  1. Shandong Provincial Key Laboratory of Deep Oil and Gas, China University of Petroleum (East China), Qingdao, 266580, China

    Jian Yang, Li-Yun Fu & Wubing Deng

  2. School of Geosciences, China University of Petroleum (East China), Qingdao, 266580, China

    Jian Yang

  3. Laboratory for Marine Mineral Resources, Qingdao National Laboratory for Marine Science and Technology, Qingdao, 266071, China

    Li-Yun Fu & Wubing Deng

  4. Key Laboratory of Ministry of Education on Safe Mining of Deep Metal Mines, Northeastern University, Shenyang, 110819, China

    Fei Wang

  5. Geotechnical Institute, TU Bergakademie Freiberg, 09596, Freiberg, Germany

    Fei Wang

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  1. Jian Yang
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Yang, J., Fu, LY., Wang, F. et al. Coupled Thermo–Mechanical Damage Evolution of Granite under Repeated Heating–Cooling Cycles and the Applications of Mohr–Coulomb and Drucker–Prager Models. Nat Resour Res 31, 2629–2652 (2022). https://doi.org/10.1007/s11053-022-10084-1

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