Please note that you are curently looking at the ongoing Academic Programs. Applications are now closed for this academic year (2020-2021) for licences, professional licences, masters, DUT and regulated health training. If you are interested for an application in 2021-2022, please click on this link for the appropriate Academic Programs.
Degrees incorporating this pedagocial element :
Description
An important part of Geophysics concerns the imaging of the Earth with waves. This lecture aims at providing students with a solid background of the mechanisms of wave propagation and scattering. The main concepts of wave physics are introduced from a theoretical point of view and are illustrated with various exercices and lab works.
Content
- Chapter 1 Fundamentals of Acoustics
governing equations of acoustics; impedance; sound power; acoustic intensity; Poynting's vector
- Chapter 2 Acoustic ducts and waveguides
closed / open ducts; Kundt's tube; stationary wave, acoustic waveguides, dispersion; phase and group velocities
- Chapter 3 Basic signal processing for wave physics
correlation; convolution; Fourier and Laplace transforms; time-space Fourier transforms; sampling theorem
- Chapter 4 Green's functions
causality; reciprocity; free-space Green's functions; monopoles; dipoles; integral representation of wave field
- Chapter 5 Fundamental of elastodynamics
constitutive relationships; Hooke's law; wave equation and its solutions; wave polarization; Christoffel's tensor; reflection and refraction
- Chapter 6 Single scattering
Huygen's principle; Rayleigh-Sommerfeld and Kirchhoff diffraction; Fraunhofer and Fresnel approximations
- Chapter 7 Surface, guided and interface waves
Rayleigh wave; Love wave; Lamb waves; Scholte waves; Stoneley waves
- Chapter 8 Electromagnetic et gravity waves
Field equations; Maxwell's relations; gravity waves
Lab work 1: ultrasonic wave propagation in homogeneous and heterogenous steel. Imaging with migration method
Lab work 2: Measure and inversion of Lamb wave dispersion curves
Lab work 3: Kundt's tube
This lecture is highly recommended to follow the Quantitative Seismology class in semester 9, and mandatory for the students of the Geophysics master.
Prerequisites
- Linear algebra fundamental
- Basic spectral analysis
- Cartesian, cylindrical and spherical coordinates systems
- homogeneous and inhomogeneous differential equations
- Bessel and Hankel functions
Targeted skills
In-depth analysis of a wave field (refraction, dispersion, attenuation, modal analysis...)
time-space and frequency-wavenumber analysis
wave propagation modeling
Bibliography
In brief
Period : Semester 8Credits : 6
Number of hours Tutorial (TD) :42h
Culmination Code (APOGEE) : PAX8GPAA
Hing methods : In person
Location(s) : Grenoble - Saint-Martin d'Hères
Language(s) : French
Contacts
Ludovic Moreau
