Convective Thermo-Poroelasticity in Non-Boiling Geothermal Reservoirs

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Presentation transcript:

Convective Thermo-Poroelasticity in Non-Boiling Geothermal Reservoirs EGEE 520 Kate (Kritika Trakoolngam)

Geothermal Energy Alternative energy Geothermal reservoir Dual porosity medium

Governing Equations - I Mechanical Behavior Hooke’s Law Thermal Mechanical Hydraulic (Effective stress)

Governing Equations - II Compliance Matrix for discontinuous rock mass (Amadei & Goodman 1981) Normal stiffness of rock mass Shear stiffness of rock mass Fracture spacing

Governing Equations - III Hydraulic Behavior Darcy’s Law (Advective flow) Fluid mass transfer between matrix and fracture (Warren & Root 1963) Matrix Mechanical (Consolidation) Thermal (Volumetric strain) Fracture

Governing Equations - III Thermal Behavior Fick’s Law (Conduction) Mechanical (Volumetric strain) Convection Hydraulic Storage

FEM Formulation

FEMLAB Solution Models Materials Equation system Mechanical 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 Water Quartz Fracture Matrix Rock mass (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)

Validation Displacements Flow velocity Heat flux Fracture Matrix

Parametric Results Heat Flux Thermal expansion Temp ~ 150 c Heat flux 1000 MW/m2 Cold water

Conclusions FEMLAB Flexibility Functionality