SubjectsSubjects(version: 945)
Course, academic year 2023/2024
   Login via CAS
Basics of seismic wave theory - MG452P81
Title: Základy teorie seismických vln
Czech title: Základy teorie seismických vln
Guaranteed by: Institute of Hydrogeology, Engineering Geology and Applied Geophysics (31-450)
Faculty: Faculty of Science
Actual: from 2020
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
Explanation: Výuka probíhá s ohledem na situaci dle nařízení hyg. stanice hl.m. Prahy a MŠMT
Note: enabled for web enrollment
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 -
Last update: Mgr. Zdeňka Sedláčková (14.05.2012)
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.
Literature -
Last update: Mgr. Zdeňka Sedláčková (14.05.2012)

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.

Requirements to the exam - Czech
Last update: Mgr. Zdeňka Sedláčková (15.05.2012)

Zkouška formou ústní.

Syllabus -
Last update: Mgr. Zdeňka Sedláčková (14.05.2012)

Outlook

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.

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.

Elastodynamic equation

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

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.

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.

 
Charles University | Information system of Charles University | http://www.cuni.cz/UKEN-329.html