|
|
|
||
Viscoelastodynamic equations. seismic model of the medium. Green tensor. Travel times.
Initial value ray-tracing. Calculation of ray-theory travel times. Calculation of first-arrival travel times. Ray-theory synthetic seismograms. Accuracy and validity conditions of
asymptotic ray methods. Full-wave finite differences in 3-D. Ray method for surface waves in Cartesian and curvilinear coordinates.
Last update: T_KG (10.05.2002)
|
|
||
Acquiring knowledge of methods for calculating seismic waves or their properties, and knowledge of applicability and accuracy of these methods. Last update: T_KG (14.04.2008)
|
|
||
Oral exam Last update: Gallovič František, prof. RNDr., Ph.D. (10.06.2019)
|
|
||
Červený, V.: Seismic Ray Theory. Cambridge Univ. Press, Cambridge, 2001. Last update: T_KG (14.04.2008)
|
|
||
Lecture Last update: T_KG (11.04.2008)
|
|
||
Zkouška je ústní, požadavky odpovídají sylabu v rozsahu prezentovaném na přednášce. Last update: Gallovič František, prof. RNDr., Ph.D. (06.10.2017)
|
|
||
Viscoelastodynamic equations:
Linear constitutive equations for viscoelastic medium, relaxation functions. Anisotropic and isotropic viscoelastodynamic equations. Dispersion and attenuation. Seismic model of the medium (macro model): Coordinate systems and metric tensors. Computer representation of the model. Green tensor. Travel times: Kinds of travel times. Isotropic and anisotropic eikonal equations. First-arrival travel times. Ray-theory travel times, elementary waves. Initial-value ray tracing: Hamiltonian ray tracing, rays as geodesics, wave-propagation metric tensor. Kinematic and dynamic ray tracing. Second and higher partial travel-time derivatives. Calculation of ray-theory travel times: Two-point ray tracing, shooting methods, bending methods. Computation of travel times on regular rectangular grids. Ray cells, weighting of paraxial ray approximations. Wavefront tracing. Calculation of first-arrival travel times: Network shortest-path ray tracing, grid travel-time tracing. Ray-theory synthetic seismograms: Isotropic and anisotropic ray theories. Weak anisotropy. Complex-valued rays and travel times. Space-time ray theory. Gaussian beams and packets, Chapman-Maslov asymptotic theory. Accuracy and validity conditions of asymptotic ray methods: Kirchhoff integrals, Fresnel zones, representation theorems, Fresnel volumes. Full-wave finite differences in 3-D: Accuracy of various finite-difference schemes, grid dispersion. Waves as structural interfaces. Fast calculation of the first-arrival waveforms. Ray method for surface waves in Cartesian and curvilinear coordinates. Last update: T_KG (11.04.2008)
|