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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. Last update: Sedláčková Zdeňka, Mgr. (14.05.2012)
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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. Last update: Sedláčková Zdeňka, Mgr. (14.05.2012)
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Zkouška formou ústní. Last update: Sedláčková Zdeňka, Mgr. (15.05.2012)
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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. Last update: Sedláčková Zdeňka, Mgr. (14.05.2012)
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