# Theoretical Seismology

Institution:
University of Grenoble Alpes
Specialization:
ES - Engineering Seismology
Term:
Fall 2016
Teacher(s):
FABRICE COTTON, MICHEL CAMPILLO, EMMANUEL CHALJUB
Credits:
6
Date (from - to):
01/09/2016 – 31/01/2017

Motivations: to introduce the fundamental equations underlying the main theoretical and numerical approaches used in seismology.

Goals: to provide basic knowledge on mathematical and physical background on quantitative seismology.

Ambitions: to contribute in educating a new generation of engineering seismologists to collaborate with geophysicists and seismologists.

• Class 1: General Introduction to the Course, Mathematical tools, Elements of mechanics, Practice
• Class 2: Waves and Vibrations, Practice, Plane Waves, Practice
• Class 3, Basic theorems and Source representation, Practice, Fundamental solutions, Practice
• Class 4, Earthquake source kinematics: source parameterization & Green's functions, Seismic wave propagation: Asymptotic Ray theory, Practice
• Class 5, The Eikonal equation, the Snell's law, reflection and transmission coefficients, Body waves in media with depth dependent properties, Practice
• Class 6, Focal mechanisms from polarity data and waveform modeling, Anelastic attenuation, Practice
• Class 7, Source parameters and Earthquakes statistics, Rupture directivity & source time functions, Practice
• Class 8, Synthetic seismograms, Source spectra & radiated energy, Practice
• Class 9, Peak ground motion & scaling relations, Ground motion prediction
• Class 10, Spherical waves as sum of plane waves, Practice, Lamb's problem and Cagniard solution, Practice
• Class 11, Surface waves and Haskell-Thompson propagator matrix, Practice, Dispersion, group and phase velocities, Practice
• Class 12, The seismic source; dynamics, Practice, The seismic source; fault mechanics and models, Practice
• Class 13, Revisiting previous lessons and exercise, Practice