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Course, academic year 2023/2024
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Seismic Anisotropy - NGEO088
Title: Seismická anizotropie
Guaranteed by: Department of Geophysics (32-KG)
Faculty: Faculty of Mathematics and Physics
Actual: from 2011
Semester: winter
E-Credits: 3
Hours per week, examination: winter s.:2/1, C+Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: taught
Language: Czech
Teaching methods: full-time
Teaching methods: full-time
Guarantor: RNDr. Václav Vavryčuk, DrSc.
Classification: Physics > Geophysics
Annotation -
Last update: RNDr. Pavel Zakouřil, Ph.D. (21.06.2004)
Classification of symmetries in anisotropy. Fundamental properties of seismic plane waves in homogeneous anisotropic media, parabolic lines, triplications of the wave-front, caustics and anti-caustics. Acoustic axes, their number and position in various types of anisotropy. Radiation of waves from point sources in anisotropy. Methods for detecting and evaluating seismic anisotropy, S- and SKS-wave splitting. Seismic anisotropy in the Earth.
Aim of the course -
Last update: T_KG (02.04.2008)

The aim of the lecture course is an introduction to problems of seismic wave propagation in real anisotropic structures and to modern methods of studying seismic anisotropy observed in geological structures. The course should extend knowledge in properties of seismic waves in complex structures needed in modern applications to studying the Earth's structure and the earthquake source.

Course completion requirements - Czech
Last update: prof. RNDr. František Gallovič, Ph.D. (06.10.2017)

Podmínkou udělení zápočtu je aktivní účast na cvičeních.

Povaha kontroly studia předmětu vylučuje opravné termíny zápočtu.

Získání zápočtu je podmínkou pro konání zkoušky.

Literature - Czech
Last update: RNDr. Pavel Zakouřil, Ph.D. (21.06.2004)

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

Červený,V., Molotkov,I.A. & Pšenčík,I., 1977. Ray Method in Seismology, Charles University Press, Praha.

Fedorov, F.I., 1968. Theory of elastic waves in crystals. Plenum Press, New York.

Musgrave, M.J.P., 1970. Crystal Acoustics, Holden-Day, San Francisco.

Babuška, V. & Cara, M., 1991. Seismic Anisotropy in the Earth, Kluwer, Dordrecht.

Savage, M.K., Seismic anisotropy and mantle deformation: What have we learned from shear wave splitting?, Rev. Geophysics, 37, 65-106, 1999.

Teaching methods -
Last update: T_KG (11.04.2008)

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: RNDr. Pavel Zakouřil, Ph.D. (21.06.2004)
Classification of symmetries in anisotropy

Transverse isotropy

Cubic anisotropy

Tetragonal and trigonal symmetry

Orthorhombic and monoclinic symmetry

Triclinic anisotropy

Weak and strong anisotropy

Plane wave in homogeneous anisotropic media

Christoffel tensor, Christoffel equation

Phase and group velocities

Slowness surface, wave-front

Parabolic line, caustics, anti-caustics, triplication of the wave-front

Acoustic axes, number of acoustic axes for various anisotropy symmetries, determination of acoustic axes, caustics in the vicinity of the acoustic axes

Energy of seismic waves, energy flux, energy conservation law

Reflection/transmission coefficients at planar interfaces

Anisotropic Green function

Integral form of the Green function

Properties of waves in near- and far-field zones

Asymptotic Green function in regular and singular directions

Green function for isotropic and anisotropic media: differences

Seismic sources in anisotropic media

Force equivalent of seismic sources

Seismic moment tensor and its decomposition

Physical interpretation of non-DC components of the moment tensor

Influence of anisotropy on the moment tensor

Methods of studying seismic anisotropy

Anisotropy versus inhomogeneity

Theoretical models of anisotropy, effective anisotropy of layered and cracked media

Seismic tomography

Interpretation of refraction measurements

Shear-wave splitting analysis

Anisotropy from surface waves

Anisotropy determined from moment tensors

Anisotropy in the Earth

Anisotropy of rock-forming minerals and polycrystalline aggregates

Oceanic and continental crust

Upper and lower mantle

Subduction zones

Inner core

 
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