COURSE OBJECTIVES:
To enable students to describe and define the structure of the Earth's interior and to analyze displacement fields on the Earth's surface based on seismic source analysis.
COURSE SYLLABUS:
1. Introductory lecture.
2. Inverse problem - Lanczos decomposition, Moore-Penrose general inverse matrix.
3. Determination of seismic wave propagation velocities by the inverse method.
4. Density, pressure and elastic constants of the Earth (basics of determining density in the Earth's interior).
5. Adams-Williamson law of spatial distribution of density in the mantle.
6. Physics of seismic sources - causes of earthquakes, theory of elastic reflection.
7. Deformation energy before an earthquake.
8. Clapeyron form of the deformation energy density.
9. Presentation of a seismic source, sources caused by faults, associated spatial forces.
10. Spatial distribution of radiation.
11. Elastostatics - static displacement fields due to the action of a single force.
12. Displacement field due to the action of a pair of forces and two pairs of forces.
13. Elastodynamics (near and far displacement field, far-field radiation distributions, seismic moment tensor).
14. Earthquake magnitude - energy of earthquake waves.
15. Energy per unit area of ??the wave front, energy of spatial and surface earthquake waves, earthquake magnitude.
LEARNING METHOD:
Listening to lectures, studying notes and literature; analyzing examples, deriving equations and solving problems.
TEACHING METHODS:
Lecture, discussion; task of deriving equations and solving numerical problems.
MONITORING AND ASSESSMENT METHOD:
Homework; written and oral exam.
SIGNATURE CONDITIONS:
Regular class attendance (at least 70%), completed homework.
EXAM METHOD: Written and oral exam.
|
- Aki, K., P.G. Richards: Quantitative Seismology, 2nd edition, University Science Books, Sausalito 2002.
- Ben Menahem, A., B.A. Singh: Seismic Waves and Sources, Springer-Verlag, New York 1981.
- Stein, S., M. Wysession: An Introduction to Seismology, Earthquakes and Earth Structure, Blackwell Publishing, Hoboken 2003.
- Tarantola, A.: Inverse Problem Theory, Methods for Data Fitting and Model Parameter Estimation, Elsevier Science Publishers, Amsterdam 1987.
- Lay, T., T.C. Wallace: Modern Global Seismology, Academic Press, San Diego 1995.
|