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A hybrid phase field method for modeling thermal fractures in brittle rocks: fracture diversity from a modified driving force

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Abstract

Phase field model (PFM) is potentially a powerful tool for simulating thermal fracture in rocks. However, thermal fracture diversity cannot be ensured by using the existing phase field approaches. That is, different fracture mechanisms such as tension-induced, compressive-shear, and mixed-mode fractures cannot be involved in one PFM. To overcome this challenge and involve different fracture mechanisms in thermal fracturing of rocks, a new phase field model is proposed. We rely on different mechanisms to establish a new driving force. In the phase field framework, thermo-elasticity is applied and the fracture patterns are achieved by using the evolution equation of phase field. The proposed PFM is constructed in a hybrid framework, where the constitutive model for the displacement field is isotropic while a modified driving force is applied to the phase field. In addition, the calculation domain is subdivided into intact domain, transition domain, and fully fractured domain to determine the temperature field. The proposed PFM is implemented within the Galerkin finite element framework while a total of six numerical examples are presented to verify the feasibility and applicability of the proposed PFM. The numerical simulations prove that the proposed PFM can characterize fracture diversity from different mechanisms in a thermo-elastic rock easily and can achieve consistent results with previous experimental and numerical studies. It is believed that in the future the proposed PFM can be considerably useful for underground thermal rock engineering such as compressed air energy storage (CAES), nuclear waste storage, hot dry rock, and hydrogen storage.

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Acknowledgements

The authors would like to acknowledge the financial support from the Young Scientist Project of National Key Research and Development Program of China (2021YFC2900600), and Fundamental Research Funds for the Central Universities of China (22120220117, 22120210056).

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Authors and Affiliations

  1. Department of Geotechnical Engineering, College of Civil Engineering, Tongji University, Shanghai, 200092, People’s Republic of China

    Shuwei Zhou, Chengkai Zhang, Yingjun Xu & Ye Yuan

  2. Institute for Advanced Study, Tongji University, Shanghai, 200092, People’s Republic of China

    Shuwei Zhou

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  1. Shuwei Zhou
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  2. Chengkai Zhang
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  4. Ye Yuan
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Correspondence to Yingjun Xu.

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Zhou, S., Zhang, C., Xu, Y. et al. A hybrid phase field method for modeling thermal fractures in brittle rocks: fracture diversity from a modified driving force. Int J Fract 238, 185–201 (2022). https://doi.org/10.1007/s10704-022-00660-0

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