SEISMOLOGY: Theory of Elasticity. Mechanics of Continuum. The Earth Interiors. Intensity, Energy and Magnitude of earthquake. Focal mechanisms and the Seismic moment. The dimension of the faults.
GRAVIMETRY: Definition of the gravity field and gravity field anomalies for gravity surveys.
GEOMAGNETISM: Definition of the earth magnetic field and magnetic field residuals. Magnetic surveys.
LABORATORY: Numerical Exercises
Lay & Wallace: Modern Global Seismology
Lowrie: Fundamentals of geophysics.
Learning Objectives
Provide to the student the fundamental basis on the seismology, Earth interiors, gravimetry and magnetic field. The student will be introduced to the mathematical and physical basis to understand in detail the potential fields and their evolution in the space and time. For each discipline, we aim to describe, the fundamental theroy and the classical applications used on Earth science
Prerequisites
elements of physics and mathematics.
Teaching Methods
Classroom lectures on each topic of the program and numerical exercise in the laboratory
Type of Assessment
Written and Oral examination with specific questions on the different topics treated
during the course.
Course program
SEISMOLOGY:
Continuum Mechanics, The Stress and Strain tensors, Constitutive Elastic Equation, Elastic Parameters, Three-dimensional Equation of Motion, Body Waves, Attenution and Anisotropy, Surface Waves, Rayleigh and Love waves, Surface Waves Dispersion, Propagation of the Elastic Waves, Principle of Refraction and Reflection of Seismic Waves, The Earth Interior, Velocity and Density Distribution, Seismometry, Seismic Hazard, The Mercalli Intensity Scale, The Ricther Scale, The Omori Law. Seismic Energy, Epicentral and Hypocentral Determination, The Wadati equation. The Gutember-Ricther Power-Law Equation. Seismic Sources, The Double-Couple Force Model, Focal Mechanisms, Seismic Radiation Lobes, Seismic Moment, The Haskel Model, Stress Drop. The Seismic Risk.
GRAVIMETRY:
Definition of gravitational force, field and potential.
Definition of centrifugal force, field and potential, and corresponding variation with latitude. Definition of gravity, gravity field and gravity potential. Normal gravity. Equipotential surfaces for gravitational and gravity fields. Refrence ellipsoide. Geoid. Topography correction, free air correction, Bouger correction of gravity. Gravity anomalies (Free air/Bouger). Isostasy. Absolute and relative gravitymeters. Gravity prospections. Gravity anomaly
Produced by buried bodies of simple geometry.
GEOMAGNETISM: Magnetic force and field produced by a single magnetic pole. Magnetic force and field produced by a dipole. Magnetic moment. Magnetic suscettibility. Residual magnetisation of minerals. Hysteresis cycle. Magnetic field of the earth. Magnetometers. Gaomagnetic prospecting. Magnetic anomalies produced by buried bodies with simple geometry.
LABORATORY: Exercises about the stress tensor, principal stress and calculation of normal and shear stress acting on a fault plane. Exercises on ray propagation for a stratified medium and a medium with constant velocity gradient with depth.