Selected topics in poromechanics
ME-630 / 2 credits
Teacher: Lecampion Brice Tanguy Alphonse
Language: English
Remark: First part Fundamentals of poromechanics -> over 5 days (3 hours lecture / day) Sept 4 to 8, 2023 Second part Fundamentals of fluid-driven fractures -> over the semester 1 hour lecture / week
Frequency
Every 3 years
Summary
This course presents fundamental and selected topics of the mechanics and physics of fluid-infiltrated porous media with applications to geo-mechanics. Mathematical modeling and the techniques for the solution of the resulting initial boundary value problems will be emphasized (scaling,numerics...).
Content
Fluid infiltrated porous materials are ubiquitous in science and engineering (concrete, rocks, bones etc.). This doctoral course aims at providing 1) a fundamental basis on the mechanics of such fluid-infiltrated materials, and 2) mathematical (notably scaling and dimensional analysis) and numerical tools for the solution of the resulting multi-physics / possibly highly-nonlinear IBVP.
In particular, over the first block of the course, following parts of O. Coussy "Poromechanics" & A. H. D. Cheng "Poro-elasticity", we will cover:
Kinematics, conservation laws, fluid & porous solid constitutive relations, poroelasticity (fundamental solutions, early/late time solutions, numerical solutions), poro-elastoplasticity (with applications to rocks).
In the second block of the class, the focus will be on the growth of localized discontinuities (in the form of fractures & faults) driven by hydro-mechanical loading. It will cover i) introduction to boundary integral equations for quasi-static elasticity, ii) flow in fractures, iii) hydraulic fracture propagation, iv) fluid-driven frictional ruptures.
The examination will consist in a final oral exam.
Learning Prerequisites
Required courses
Continuum mechanics
Learning Outcomes
By the end of the course, the student must be able to:
- Construct theoretical models of poromechanics
Assessment methods
Oral exam
In the programs
- Exam form: Oral (session free)
- Subject examined: Selected topics in poromechanics
- Lecture: 28 Hour(s)