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A triaxial creep model for salt rocks based on variable-order fractional derivative

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Abstract

This paper intend to describe the entire creep process of a salt rock under triaxial loading, especially the creep characteristics in the accelerated creep stage, by replacing the Newtonian dashpot in the Maxwell model with the variable-order fractional derivative component and extending it from one to three dimensions. The experimental data were obtained from the creep of salt rock under multistage loading for approximately five months to examine the applicability of the new model. The fitting results show that the new model can accurately describe the creep behavior of the salt rock and can fully reflect the accelerative rheological property of the salt rock. Compared with the traditional nonlinear rheological model, the new model has fewer parameters and increased accuracy of the fitting results, and is anticipated to have an increased application area.

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Acknowledgements

The author(s) disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: This work is supported by National Natural Science Foundation of China (52074043, 51804203, 51704044, 51834003), Fundamental Research Funds for the Central Universities (2020CDJQY-A049), State Key Laboratory for GeoMechanics and Deep Underground Engineering, China University of Mining & Technology (SKLGDUEK1915).

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Authors and Affiliations

  1. State Key Laboratory for the Coal Mine Disaster Dynamics and Controls, Chongqing University, Chongqing, 400044, China

    Wu Fei, Liu Jie, Zou Quanle, Chen Jie & Gao Renbo

  2. Institute of Deep Earth Sciences and Green Energy, Shenzhen University, Shenzhen, 518060, China

    Li Cunbao

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  1. Wu Fei
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  2. Liu Jie
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  3. Zou Quanle
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  4. Li Cunbao
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  5. Chen Jie
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  6. Gao Renbo
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Correspondence to Zou Quanle or Li Cunbao.

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Fei, W., Jie, L., Quanle, Z. et al. A triaxial creep model for salt rocks based on variable-order fractional derivative. Mech Time-Depend Mater 25, 101–118 (2021). https://doi.org/10.1007/s11043-020-09470-0

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