| HOME | HELP | FEEDBACK | SUBSCRIPTIONS | ARCHIVE | SEARCH | TABLE OF CONTENTS |
|
|
|
|||||||
|
|||||||||
Article |
Geophysical Institute
Slovak Academy of
Sciences
Dúbravská cesta 9
842 28 Bratislava, Slovak
Republic
(P. M., J. K.)
Department of Mathematics
Engineering Faculty
Slovak
Technical University
Nám. Slobody 17
812 31 Bratislava
Slovak
Republic
(L. H.)
We investigated stability and grid dispersion in the 3D fourth-order in space, second-order in time, displacement-stress staggered-grid finite-difference scheme. Though only displacement-stress scheme is explicitly treated, all results also apply to the velocity-stress and displacement-velocity-stress finite-difference schemes.
We derived independent stability conditions for the P and S waves by exact separation of equations for the two types of waves.
Since the S-wave group velocity can differ from the actual velocity as much as 5% for the sampling ratio 1/5 (that is usually used in modeling), we recommend to sample a minimum S wavelength by six grid spacings.
Grid dispersion is strongest for a wave propagating in the direction of a coordinate axis and weakest for a wave propagating along a body diagonal.
Grid dispersion in the fourth-order scheme for the sampling ratios s = 1/5 and s = 1/6 is smaller than grid dispersion in the second-order scheme for s = 1/10 and s = 1/12, respectively.
This article has been cited by other articles:
|
|
 |
|
  S. Harmsen, S. Hartzell, and P. Liu Simulated Ground Motion in Santa Clara Valley, California, and Vicinity from M>=6.7 Scenario Earthquakes Bulletin of the Seismological Society of America, June 1, 2008; 98(3): 1243 - 1271. [Abstract] [Full Text] [PDF]
|
|
|
|
|
|
S. M. Corish, C. R. Bradley, and K. B. Olsen Assessment of a Nonlinear Dynamic Rupture Inversion Technique Applied to a Synthetic Earthquake Bulletin of the Seismological Society of America, June 1, 2007; 97(3): 901 - 914. [Abstract] [Full Text] [PDF]
|
|
|
|
|
|
J. A. Perez-Ruiz, F. Luzon, and A. Garcia-Jerez Simulation of an Irregular Free Surface with a Displacement Finite-Difference Scheme Bulletin of the Seismological Society of America, December 1, 2005; 95(6): 2216 - 2231. [Abstract] [Full Text] [PDF]
|
|
|
|
|
|
An Efficient Finite-Difference Method for Simulating 3D Seismic Response of Localized Basin Structures Bulletin of the Seismological Society of America, October 1, 2004; 94(5): 1690 - 1705.
|
|
|
|
|
|
Finite Volume Method for 2D Elastic Wave Propagation Bulletin of the Seismological Society of America, August 1, 2004; 94(4): 1500 - 1509.
|
|
|
|
|
|
P. Moczo, J. Kristek, and M. Galis Simulation of the Planar Free Surface with Near-Surface Lateral Discontinuities in the Finite-Difference Modeling of Seismic Motion Bulletin of the Seismological Society of America, April 1, 2004; 94(2): 760 - 768. [Abstract] [Full Text] [PDF]
|
|
|
|
|
|
T.-S. Kang and C.-E. Baag Finite-Difference Seismic Simulation Combining Discontinuous Grids with Locally Variable Timesteps Bulletin of the Seismological Society of America, February 1, 2004; 94(1): 207 - 219. [Abstract] [Full Text] [PDF]
|
|
|
|
|
|
PML Absorbing Boundaries Bulletin of the Seismological Society of America, April 1, 2003; 93(2): 891 - 903.
|
|
|
|
|
|
3D Heterogeneous Staggered-Grid Finite-Difference Modeling of Seismic Motion with Volume Harmonic and Arithmetic Averaging of Elastic Moduli and Densities Bulletin of the Seismological Society of America, December 1, 2002; 92(8): 3042 - 3066.
|
|
|
|
|
|
3D Site Effects: A Thorough Analysis of a High-Quality Dataset Bulletin of the Seismological Society of America, June 1, 2002; 92(5): 1941 - 1951.
|
|
| HOME | HELP | FEEDBACK | SUBSCRIPTIONS | ARCHIVE | SEARCH | TABLE OF CONTENTS |
