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

2. Geothermal Energy Alternative energy Geothermal reservoir
Dual porosity medium

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

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

5. 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

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

7. FEM Formulation

8. 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)

9. Validation
Displacements
Flow velocity
Heat flux
Fracture
Matrix

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

11. Conclusions
FEMLAB
Flexibility
Functionality