|
|
|
||
A practical guide to the finite-difference modelling in geophysics with a view to wave propagation in complex 3D
media.
Last update: T_KG (22.04.2013)
|
|
||
A student, who is able to design and realize his own finite-difference method for numerical modelling of physical quantities. Last update: T_KG (22.04.2013)
|
|
||
Oral exam Last update: Gallovič František, prof. RNDr., Ph.D. (10.06.2019)
|
|
||
G. Schubert Treatise on geophysics, Volume 1 - Seismology and Structure of the Earth, Elsevier Science, 2007, ISBN-13: 978-0444519283
K. Aki, P. G. Richards, Quantitative Seismology, University Science Books; 2009, ISBN-10: 1891389637
J. E.Vidale, D. V. Helmberger, 1987. Path effects in strong motion seismology, in Seismic Strong Motion Synthetics, pp. 267-319, ed. Bolt, B.A., Academic Press, Orlando, FL, USA.
A. R. Levander, 1989. Finite-difference forward modeling in seismology, in The Encyclopedia of Solid Earth Geophysics, pp. 410-431, ed. James, D.E., Van Nostrand Reinhold.
V. Pretlová, J. Zahradník, Numerické metody v geofyzice I., II. (skripta), SPN, 1978/1981 Last update: T_KG (22.04.2013)
|
|
||
Lecture Last update: T_KG (22.04.2013)
|
|
||
Zkouška je ústní, požadavky odpovídají sylabu v rozsahu prezentovaném na přednášce. Last update: Gallovič František, prof. RNDr., Ph.D. (06.10.2017)
|
|
||
1. Approximation of derivatives by difference operators
2. Partial differential equations and their approximation by difference equations (in particular elastodynamic equation)
3. Numerical dispersion, stability and the order of accuracy of a stencil, computational demands
4. Explicit and implicit stencils, heterogeneous stencils, approximation of material discontinuities and free-surface condition
5. Finite-difference method on regular and irregular grids
6. Acoustic and elastodynamic equations formulated in displacements on standard grids; stress-velocity formulation on staggered grids
7. Optimum operators and increasing stencil accuracy
8. Realizing the source and attenuation using a volume force
9. Artificial boundary conditions on the edges of the computational domain: non-reflecting boundaries, tapers and symmetry conditions
10. Hybrid formulation used for injecting physical field into computational domain Last update: T_KG (22.04.2013)
|