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:
1 describe the generation and characteristics of seismic surface waves,
2 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),
3 analyze and compare the dispersion of seismic surface waves for different models,
4 distinguish the propagation of seismic waves in vertically and laterally heterogeneous medium,
5 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.
TERMS FOR RECEIVING THE SIGNATURE:
Positively graded first homework and submitted second homework. Attendance at least 70% of classes (lectures and exercises).
EXAMINATION METHODS:
The exam consists of two homework assignments in the form of a report for assessment and an oral exam. The final grade is the arithmetic mean of the grades from the homework assignments and the oral exam.
The homework assignment consists of a task that student must solve and present the solution in the form of a written report (seminar/paper) in which the basic professional terms, data, method and procedure (briefly) are described, the results are described with a short interpretation or discussion, and an appropriate graphic representation and conclusion are present. The assignment is also presented orally (short presentation). The assessment considers physical accuracy (the greatest weight in the assessment), the structure of the report, the presentation of results and (professional) literacy. The final grade from the homework assignments is the average of the grades from the individual homework assignments. Each homework assignment is assessed separately, and the arithmetic mean of both assessed assignments is taken as the homework grade. In order to be able to take the oral exam, both homework assignments must be positively assessed.
The oral exam consists of questions in which you need to define/describe/explain technical terms and derive equations from the course material.
LITERATURE (MANDATORY):
Internal course script published on the e-course on the Merlin system
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., M. Wysession: An introduction to Seismology, Earthquakes and Earth Structure, Blackwell Publ. 2003.
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- 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
- 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.
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