Pierre Dublanchet (Mines ParisTech)
The course advanced mechanics provides an overview of the recent advances in the field of rock mechanics, with a particular emphasis on fault mechanics, earthquake rupture, and earthquake cycle.
The first part of the course is dedicated to experimental rock mechanics. It is first discussed how rock samples respond to applied stresses in the laboratory, under a wide range of pressure, temperature, and saturation conditions. For that, elastic properties, damage, poro-elasticity and plasticity are discussed in details. Then, earthquake ruptures in the laboratory will be presented. The following questions will be addressed: How is it generated? How could it be monitored? What can we understand on the energy balance of earthquakes from such laboratory experiments?
The second part of this class presents an important theory in rock mechanics: the coupling between elasticity and friction. This theory is at the base of our current understanding of fault slip, from slow creep to earthquake ruptures. An overview of rock friction is first presented. Then, different mechanical models coupling elasticity and friction are introduced, starting from the spring-and-slider system, and going to networks of fault in an elastic continuum. For each model, the equations governing fault slip are derived, the methods used to solve these equations are discussed, and the resulting fault slip is compared to natural observations.
The evaluation will rely on a presentation of scientific papers.
Strong skills and culture about experimental rock mechanics. A good understanding of the theoretical concepts relevant to rock mechanics: elasticity, friction, plasticity, fracture. A broad knowledge about the recent results and techniques in this field.
Basic knowledge in continuum mechanics (stress, strain, conservation laws). It is better to have attended the M1 class rock mechanics.