›› 2014, Vol. 35 ›› Issue (S2): 162-167.

• Fundamental Theroy and Experimental Research • Previous Articles     Next Articles

Fractional nonlinear creep constitutive model of salt rock

WU Fei1, LIU Jian-feng1,2, WU Zhi-de3, BIAN Yu2, ZHOU Zhi-wei2   

  1. 1. Key Laboratory of Energy Engineering Safety and Disaster Mechanics of Ministry of Education, Sichuan University, Chengdu 610065, China; 2. College of Water Resources and Hydropower, Sichuan University, Chengdu 610065, China; 3. Langfang Branch, China Research Institute of Petroleum Exploration and Development, Langfang, Hebei 065007, China
  • Received:2014-03-20 Online:2014-10-31 Published:2014-11-12

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Abstract: On the basis of a non-Newton fluid viscous damping element, fractional nonlinear dashpot element has been presented. Based on the definition of fractional derivatives, a theoretical expression for the element has been obtained. Its expression is consistent with that of the Abel dashpot. Through further comparison, it is found that the element can reflect the nonlinear acceleration characteristic of the creep curve. By introducing the element, new nonlinear creep constitutive model has been established. Based on the data from the creep experiments, fitting analysis has been conducted about the model. The results show that the nonlinear creep constitutive model agrees well with the data from the experiments and can clearly reflect the characteristics of the creep curves of the whole process, especially the nonlinear acceleration creep stage.

Key words: rock, nonlinearity, fractional derivative, Abel dashpot, creep model, accelerating creep

CLC Number: 

  • TU 452
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