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Course, academic year 2023/2024
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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
Teaching methods: full-time
Note: you can enroll for the course in winter and in summer semester
Guarantor: prof. RNDr. František Gallovič, Ph.D.
Annotation -
Last update: T_KG (07.05.2012)
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.
Aim of the course -
Last update: T_KG (07.05.2012)

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

Course completion requirements -
Last update: prof. RNDr. František Gallovič, Ph.D. (10.06.2019)

Oral exam

Literature - Czech
Last update: T_KG (07.05.2012)

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.

Teaching methods -
Last update: T_KG (07.05.2012)

Lecture

Requirements to the exam - Czech
Last update: prof. RNDr. František Gallovič, Ph.D. (06.10.2017)

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

Syllabus -
Last update: T_KG (07.05.2012)

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.

 
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