Physics for TEE

This course provides the basis for describing the phenomena related to wave propagation. It deals with (i) the mathematical description (propagation equation), (ii) the physical origins of waves in different systems (string under tension, liquid, solid, etc.) and finally (iii) the phenomena related to the propagation which result from it (energy propagation, attenuation, dispersion, polarization, etc.). The mathematical tools are limited to the minimum to formulate these ideas. The consequences for systems of interest to 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 lineal approximation (low amplitudes) and the importance of the principle of superposition; know examples of systems leading to wave propagation in systems of interest for geosciences (land, sea, etc.); master the language allowing to characterize waves (polarization, attenuation, dispersion, ...); to know how to reason about the transport of energy during propagation, and to take advantage of it to analyze phenomena in a simple way

Required Prerequisites:

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

Continuous assessment (CC)

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

• principles of wave propagation; propagation equation
• detailed study of the example of a stretched rope (longitudinal and transversal)
• principles of superposition
• energy propagation; notion of dispersion
• role of edge conditions; standing waves
• waves in liquids (compressional waves, surface waves); wave and tsunami application
• waves in solids (compressional, shear, surface waves); application earthquakes
• Mecha wave propagation, dispersion, wavelength, frequency, amplitude.
• Mecha of the solid (undeformable): balance of forces, balance of moments, kinetic moment