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Last update: T_KG (16.05.2001)
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Last update: T_KG (09.04.2008)
Basics of propagation theory for plane and spherical seismic waves in elastic continuum and reflection-transmission problems at a structural interface. |
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Last update: prof. RNDr. František Gallovič, Ph.D. (06.10.2017)
Podmínkou udělení zápočtu je absolvování písemného testu. Získání zápočtu je podmínkou pro konání zkoušky. |
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Last update: T_KG (19.01.2003)
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Last update: T_KG (11.04.2008)
Lecture + exercises |
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Last update: prof. RNDr. František Gallovič, Ph.D. (06.10.2017)
Zkouška je ústní, požadavky odpovídají sylabu v rozsahu prezentovaném na přednášce. |
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Last update: T_KG (03.05.2002)
1. Equations of motion. Initial and boundary conditions.
2. Plane waves. Time harmonic and transient waves in acoustic, elastic isotropic and anisotropic media. Analytic signal. Inhomogeneous plane waves.
3. Lame's potentials. Christoffel matrix.
4. Energy of elastic plane waves. Energy flux.
5. Spherical waves. Cylindric waves.
6. Weyl's and Sommerfeld's integral.
7. Reflection and transmission of seismic waves at interfaces. Boundary conditions at an interface. Slowness vectors of generated waves. Coefficients of reflection and transmission. R/T problem in acoustic, elastic isotropic and anisotropic media.
8. Rayleigh waves. Love waves.
9. Head waves.
10. Asymptotic integral expansions. Method of stationary phase. Method of steepest descent.
11. Reflection and transmission of spherical waves at an interface.
12. Green's tensor. Analytic solution in acoustic and elastodynamic case. Reciprocity.
13. Representation theorem. Kirchoff representation. Born approxiamtion.
14. Waves in dissipative media. Bibliography
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