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Convective Thermo-Poroelasticity in Non-Boiling Geothermal Reservoirs. EGEE 520 Kate (Kritika Trakoolngam). Geothermal Energy. Alternative energy Geothermal reservoir Dual porosity medium. Thermal. Mechanical. Hydraulic (Effective stress). Governing Equations - I. Mechanical Behavior.
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Convective Thermo-Poroelasticity in Non-Boiling Geothermal Reservoirs EGEE 520 Kate (Kritika Trakoolngam)
Geothermal Energy • Alternative energy • Geothermal reservoir • Dual porosity medium
Thermal Mechanical Hydraulic (Effective stress) Governing Equations - I • Mechanical Behavior Hooke’s Law
Governing Equations - II • Compliance Matrix for discontinuous rock mass (Amadei & Goodman 1981) Normal stiffness of rock mass Shear stiffness of rock mass Fracture spacing
Fluid mass transfer between matrix and fracture (Warren & Root 1963) Mechanical (Consolidation) Thermal (Volumetric strain) Governing Equations - III • Hydraulic Behavior Darcy’s Law (Advective flow) Matrix Fracture
Mechanical (Volumetric strain) Convection Hydraulic Storage Governing Equations - III • Thermal Behavior Fick’s Law (Conduction)
Water Quartz Fracture Matrix Rock mass FEMLAB Solution • Models • Mechanical Stress-strain u, v, w • Darcy’s Flow (matrix) p1 • Darcy’s Flow (fracture) p2 • Thermal conduction + convection (matrix) cc1 • Thermal conduction + convection (fracture) cc2 • Materials • Equation system • Mechanical (mat3_sE_1_1_*px+mat3_sE_1_2_*px+ mat3_sE_1_3_*px+ mat3_sE_1_4_*px+ mat3_sE_1_5_*px+ mat3_sE_1_6_*px)
Matrix Fracture Validation • Displacements • Flow velocity • Heat flux
Parametric Results • Heat Flux • Thermal expansion Temp ~ 150 c Heat flux 1000 MW/m2 Cold water
Conclusions • FEMLAB • Flexibility • Functionality