Physics for TEE

This course lays the foundations for describing wave propagation phenomena. It covers (i) the mathematical description (propagation equation), then (ii) the physical origins of waves in different systems (string under tension, liquid, solid, etc.), and finally (iii) the propagation-related phenomena that result (energy propagation, attenuation, dispersion, polarization, etc.). The mathematical tools are limited to the minimum needed to formulate these ideas. The consequences for systems of interest to the geosciences are discussed in the form of examples (seismic waves, waves on water, etc.).

Hourly volumes :

• CM : 12
• TD : 24

Understand the propagative nature of waves; know how to manipulate the propagation equation and simple solutions; understand the nature of the linearity approximation (low amplitudes) and the importance of the superposition principle; know examples of systems leading to wave propagation in systems of interest to geosciences (land, sea, etc.); master the language used to characterize waves (polarization, attenuation, dispersion, etc.).); know how to reason about the transport of energy during propagation, and take advantage of this to analyze phenomena in a simple way.

Prerequisites :

notions of physics (in particular energy, work, power, etc.); notions of mathematics (simple algebra and manipulation of equations, notions of functions and derivatives, trigonometric functions)

Recommended prerequisites: point mechanics (balance of forces, fundamental law of dynamics, etc.); notions of second-order linear differential equations.

Full Continuous Control (CC)

Physics part: the course focuses on wave propagation phenomena (mechanical or otherwise):

• principles of wave propagation; propagation equation
• detailed study of the example of a taut rope (longitudinal and transverse)
• superposition principles
• energy propagation; notion of dispersion
• role of edge conditions; standing waves
• waves in liquids (compressional waves, surface waves); wave and tsunami applications
• waves in solids (compressional, shear and surface waves); application to earthquakes
• Mecha wave propagation, dispersion, wavelength, frequency, amplitude.
• Mecha solid (non-deformable): balance of forces, balance of moments, angular momentum