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| An empirical model for unsteady creep of rocks |
| ZHANG Liangliang1, 2*, WU Jianghua1, CHENG Hua1, 3, WANG Xiaojian1 |
(1. School of Civil Engineering and Architecture, Anhui University of Science and Technology, Huainan, Anhui 232001, China;
2. Anhui Key Laboratory of Mining Construction Engineering, Anhui University of Science and Technology, Huainan, Anhui 232001, China; 3. School of Resources and Environmental Engineering, Anhui University, Hefei, Anhui, 230022, China) |
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Abstract In response to the limited types of existing rock empirical creep models and their inability to accurately describe the unsteady creep behaviors of rocks, an improved Knothe time model for predicting dynamic surface subsidence due to coal mining is proposed. By applying a mathematical function rotation transformation, the improved Knothe time model function is rotated counterclockwise by 90°to establish a new empirical creep model for rocks. The accuracy and applicability of this model are validated using conventional triaxial compression creep test data from four types of rocks: marble, mudstone, sandy shale, and sandy mudstone. The results indicate that: (1) the characteristics of the new rock unsteady empirical creep model curve align with the typical characteristics of unsteady creep curves for rocks; the model is simple in form and consists of only three parameters; (2) the curve of the new empirical creep model closely overlaps with the creep test curves of marble, mudstone, and sandy shale, effectively describing both rock attenuation creep and constant velocity creep, as well as the nonlinear variations observed during the acceleration stage; (3) the accuracy of the new rock empirical creep model in fitting the creep test curve of sandy mudstone significantly surpasses that of the power function, logarithmic function, and exponential function empirical creep models, thus overcoming the challenges associated with describing unsteady creep behaviors. This research provides valuable insights and references for the study of rock creep models.
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2026, Vol. 45 
