Load:

1. komponenta
Lecture type  Total 
Lectures 
30 
Exercises 
15 
* Load is given in academic hour (1 academic hour = 45 minutes)

Description:

Inverse problems (Lanczos's decomposition, MoorePenrose matrix inverse, determination of seismic waves velocities using inverse method). Density, pressure and constants of elasticity in the Earth's interior (basics of density determination in the Earth's interior, AdamsWilliamson equation for the variation of density in mantle). Physics of seismic sources (causes of earthquakes, elastic rebound theory, strain energy before an earthquake, Clapeyron's form of strain energy density, faulting sources, equivalent body forces, radiation pattern). Elastostatics (static displacement field due to a single force, a force couple and a double couple). Elastodynamics (near and far field displacements, far field radiation patterns, seismic moment tensor). Earthquake magnitude (energy of earthquake waves, energy per unit area of wave front in an emerging wave, energy of body and surface waves, earthquake magnitude).
LEARNING OUTCOMES:
After completition of the course student will be able to:
1. define and solve inverse problems in seismology using Lanczos decomposition,
2. compute density distribution, pressure and constants of elasticity in the Earth's interior using the Adams Williamson's law,
3. explain the basic concepts of physics of seismic sources,
4. explain the difference between elastostatics and elastodynamics,
5. explain the concept of magnitude, as well as compare different magnitudes.

Literature:

 Aki, K., P.G. Richards: Quantitative Seismology, 2nd edition, University Science Books, Sausalito 2002.
 Ben Menahem, A., B.A. Singh: Seismic Waves and Sources, SpringerVerlag, New York 1981.
 Stein, S., M. Wysession: An Introduction to Seismology, Earthquakes and Earth Structure, Blackwell Publishing, Hoboken 2003.
 Tarantola, A.: Inverse Problem Theory, Methods for Data Fitting and Model Parameter Estimation, Elsevier Science Publishers, Amsterdam 1987.
 Lay, T., T.C. Wallace: Modern Global Seismology, Academic Press, San Diego 1995.
