A Coupled Thermal–Hydrological–Mechanical Damage Model and Its Numerical Simulations of Damage Evolution in APSE
Abstract
:1. Introduction
2. Governing Equations
2.1. Mechanical Equilibrium Equation
2.2. Water Flow Equation
2.3. Energy Conservation Equation
2.4. Damage Evolution Equation
2.5. Effect of Damage on THM Parameters
3. Model Setup
3.1. APSE Background
3.2. Determination of Meso-Mechanical Parameters
3.3. Determination of In Situ Stress and Boundary Conditions
3.4. Numerical Model for Excavation Stage
3.5. Numerical Model for Heating Stage
4. Simulation Results
4.1. Damage Zone Evolution at Excavation Stage
4.2. Damage Zone Evolution at Heating Stage
4.3. Effect of Confining Pressure on Damage Zone Evolution
4.4. Effect of Biot’s Coefficient on Damage Zone Evolution
5. Discussion
Acknowledgments
Author Contributions
Conflicts of Interest
References
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Mechanical Property | Value |
---|---|
Reduced elasticity modulus | 62 GPa |
Poisson’s ratio | 0.25 |
Reduced UCS | 52 MPa |
Homogeneity index | 5 |
Mean elastic modulus of mesoscopic element | 68 GPa |
Mean UCS of mesoscopic element | 119 MPa |
Mean tensile strength of mesoscopic element | 12 MPa |
Frictional angle | 49° |
Density of rock | 2750 kg·m−3 |
Volume heat capacity | 770 J·kg−1·K−1 |
Thermal conductivity | 2.6 W·m−1·K−1 |
Linear expansion | 7 × 10−6 K−1 |
Initial temperature | 15 °C |
Permeability | 1 × 10−17 m2 |
Dynamic viscosity of water | 1 × 10−3 Pa·s |
In Situ Stress | |||
---|---|---|---|
Magnitude (MPa) | 30 | 15 | 10 |
Trend (Äspö 96) | 310 | 90 | 220 |
Plunge (degrees from horizontal) | 0 | 90 | 0 |
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Wei, C.; Zhu, W.; Chen, S.; Ranjith, P.G. A Coupled Thermal–Hydrological–Mechanical Damage Model and Its Numerical Simulations of Damage Evolution in APSE. Materials 2016, 9, 841. https://doi.org/10.3390/ma9110841
Wei C, Zhu W, Chen S, Ranjith PG. A Coupled Thermal–Hydrological–Mechanical Damage Model and Its Numerical Simulations of Damage Evolution in APSE. Materials. 2016; 9(11):841. https://doi.org/10.3390/ma9110841
Chicago/Turabian StyleWei, Chenhui, Wancheng Zhu, Shikuo Chen, and Pathegama Gamage Ranjith. 2016. "A Coupled Thermal–Hydrological–Mechanical Damage Model and Its Numerical Simulations of Damage Evolution in APSE" Materials 9, no. 11: 841. https://doi.org/10.3390/ma9110841