1. komponenta

Lecture type	Total
Lectures	30
Exercises	15

* Load is given in academic hour (1 academic hour = 45 minutes)

COURSE OBJECTIVES:
Define, derive and analyze generation, propagation and basic characteristics of seismic surface waves in multilayered media. Derive and analyze dispersion of surface waves from seismograms and calculate group velocity in 3-layered model using e.g. Matlab. Describe the importance of introduction of lateral inhomogeneities in the theory of propagation of seismic waves.
COURSE CONTENT:
1. Introductory lecture.
2. Seismic surface waves.
3. Rayleigh equation.
4. Propagation and dispersion of seismic surface waves (Rayleigh waves) in vertical
heterogeneous (multilayered) medium (the Thomson-Haskell method)-1st part.
5. Propagation and dispersion of seismic surface waves (Rayleigh waves) in vertical
heterogeneous (multilayered) medium (the Thomson-Haskell method)-2nd part.
6. Propagation and dispersion of seismic surface waves (Rayleigh waves) in vertical
heterogeneous (multilayered) medium (the Thomson-Haskell method)-3rd part.
7. Propagation and dispersion of seismic surface waves (Love waves) in vertical
heterogeneous (multilayered) medium (the Thomson-Haskell method).
8. Periodic equation-discussion.
9. Propagation and dispersion of seismic surface waves in vertical heterogeneous
(multilayered) medium (the generalized matrix method). Periodic equation.
10. Determination of eigenvalues and eigenfunctions of surface waves in layered
media.
11. Propagation of surface waves in laterally heterogeneous medium-1st part.
12. Propagation of surface waves in laterally heterogeneous medium-2nd part.
13. Propagation of surface waves in laterally heterogeneous medium-3rd part.
14. Effect of irregular interfaces on propagation of seismic waves-1st part.
15. Effect of irregular interfaces on propagation of seismic waves-2nd part.
LEARNING OUTCOMES:
After completion the course Seismology III the student should be able to:
describe the generation and characteristics of seismic surface waves,
define the boundary conditions and derive the equation of propagation of seismic waves in vertically heterogeneous layered media (using two methods: the Thomson-Haskell and the matrix method),
analyze and compare the dispersion of seismic surface waves for different models,
distinguish the propagation of seismic waves in vertically and laterally heterogeneous medium,
define equations describing the propagation of seismic waves in laterally heterogeneous medium.
LEARNING MODE:
Lectures and exercises attendance, study of notes and literature. Equation derivation and example analysis.
TEACHING METHODS:
Lectures and discussion, derivation of equations. Independent solving of exercises concerning the surface wave dispersion.
METHODS OF MONITORING AND VERIFICATION:
Homework and oral exam.
TERMS FOR RECEIVING THE SIGNATURE:
Solved two homework assignments (students must write reports and present their work in front of their colleagues) and two problems
EXAMINATION METHODS:
Oral exam-the final mark is weighted average of marks from homework (30 %) and oral exam (70 %).

1. COMPULSORY LITERATURE:
   Aki, K., P.G. Richards: Quantitative Seismology, 2nd Ed., University Science Books, Sansalito, California 2002.
   Sato, H., M. C. Fehler: Seismic Wave Propagation and Scattering in the Heterogeneous Earth, Springer Verlag, Berlin 1997.
   Stein, S. & Wysession: An introduction to Seismology, Earthquakes and Earth Structure, Blackwell Publ. 2003
2. Sato, H., M. C. Fehler: Seismic Wave Propagation and Scattering in the Heterogeneous Earth, Springer Verlag, Berlin 1997.
3. Stein, S. & Wysession: An introduction to Seismology, Earthquakes and Earth Structure, Blackwell Publ. 2003.

Mandatory course - Regular study - Meteorology and Physical Oceanography
Mandatory course - Regular study - Seismology and Physics of Solid Earth