Syllabus
* 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
Annotation
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.