Mécanique des milieux poreux

The course aims to introduce the theoretical foundations and analytical tools for modelling porous media, particularly those saturated with a fluid, using a multiphysics approach (mechanical, hydraulic, thermal).

Skills:

• Master the conservation equations (mass, momentum, energy)
• Describe the mechanical and thermodynamic behaviour of a biphasic porous medium
• Understand and apply constitutive laws (poroelasticity, thermoporoelasticity, poroviscoelasticity)
• Model and interpret fluid-solid interactions at the macroscopic scale
• Work with physical quantities in both Lagrangian and Eulerian frameworks

1. Kinematics & deformation
2. Representation of internal actions
3. Thermodynamic analysis
4. Linear thermoporoelasticity: general equations
5. Linear Isotropic poroelasticity: formulation & applications
6. Linear Isotropic thermoporoelasticity: applications
7. Poroviscoelasticity: a simple model & applications