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| A thermal-mechanical constitutive model for cement rock based on thermodynamics and its finite element application |
| WANG Hao1,ZHANG Zhichao1,2,CHENG Xiaohui1 |
(1. Department of Civil Engineering,Tsinghua University,Beijing 100084,China;2. School of Civil Engineering,
Chongqing University,Chongqing 400045,China) |
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Abstract The plasticity and stress non-linearity of cement sheaths under thermal loadings have significant influence on the integrity logging of deep geothermal well systems. A thermal-mechanical elasto-viscoplastic model based on the thermodynamics is established with the density and the elastic strains coupled with the temperature and the dissipative equations coupled with the elastic strains. The model is able to simulate many important properties of cement stones in isothermal tests and the degradation of strength and stiffness with the rising of temperature in non-isothermal tests. A finite element code with transient heat conduction is developed based on the constitutive model. The code is then applied for the temperature and stress analysis of a CNPC geothermal well in Kenya. Results show that the thermal-induced mechanical stresses,especially at interfaces, are non-monotonic during the monotonic thermal loading. The consideration of energy dissipation is essential for the reasonable estimations of hysteresis and plastic deformations of cement stones.
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