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Course, academic year 2024/2025
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Basics of seismic wave theory - NDGF023
Title: Základy teorie seismických vln
Guaranteed by: Department of Geophysics (32-KG)
Faculty: Faculty of Mathematics and Physics
Actual: from 2016
Semester: both
E-Credits: 3
Hours per week, examination: 2/0, Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: taught
Language: Czech, English
Teaching methods: full-time
Note: you can enroll for the course in winter and in summer semester
Guarantor: prof. RNDr. František Gallovič, Ph.D.
Teacher(s): prof. RNDr. František Gallovič, Ph.D.
Annotation -
Types of seismic waves. Body waves in the Earth’s interior. Ray methods based on variational principles. Methods based on the equations of continuum mechanics. Seismic surface waves.
Last update: T_KG (07.05.2012)
Aim of the course -

Students will be acquainted with the foundations of the theory of seismic-wave propagation that are needed in seismic prospecting and studies of earthquakes.

Last update: T_KG (07.05.2012)
Course completion requirements -

Oral exam

Last update: Gallovič František, prof. RNDr., Ph.D. (10.06.2019)
Literature - Czech

K. Aki, P. G. Richards: Quantitative Seismology, Univ. Sci. Books, Sausalito, Calif., 2001.

J. Brokešová: Asymptotic Ray Method in Seismology. A Tutorial. Matfyz Press, Pratur, 2006.

V. Červený: Seismic Ray Theory. Cambridge University Press, 2001.

Last update: T_KG (07.05.2012)
Teaching methods -

Lecture

Last update: T_KG (07.05.2012)
Requirements to the exam - Czech

Zkouška je ústní, požadavky odpovídají sylabu v rozsahu prezentovaném na přednášce.

Last update: Gallovič František, prof. RNDr., Ph.D. (06.10.2017)
Syllabus -

1. Observation of seismic waves

Structure of the seismogram. Body waves and surface waves. Types of seismic waves propagating in the Earth’s interior. Travel-time curves, dispersion curves.

2. Simple ray theory based on Fermat’s Principle

Fermat’s Principle. Euler’s equations for the extremal. Snell’s law. Seismic rays and travel times in a vertically inhomogeneous medium. Seismic rays and travel times in a spherically symmetric medium. The Wiechert-Herglotz equation.

3. Elastodynamic equation

Separation of the elastodynamic equation in a homogeneous isotropic medium. Introduction of potentials. Wave equations.

4. Special solutions of the elastodynamic equation

Plane waves in a homogeneous isotropic medium and in a homogeneous anisotropic medium. Reflection and transmission of plane waves at a plane interface. Total reflection. Stokes’ solution of the elastodynamic equation in a homogeneous isotropic medium. Weyl’s integral. Head waves.

5. Seismic surface waves

Rayleigh waves on a homogeneous isotropic half-space. Love waves in a layer on a half-space. Matrix formulation of the problems for layered media.

Last update: T_KG (07.05.2012)
 
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