| HOME | HELP | FEEDBACK | SUBSCRIPTIONS | ARCHIVE | SEARCH | TABLE OF CONTENTS |
|
|
|
|||||||
|
|||||||||
COURANT INSTITUTE OF MATHEMATICAL SCIENCES NEW YORK UNIVERSITY, NEW YORK, N. Y., 10012.
Abstract
A finite difference equation formulation for the equations of elasticity is presented and applied to the problem of a layered half-space with a buried point source emitting a compressional pulse. Complete theoretical seismograms for the horizontal and vertical components of displacement are obtained. The results for a specific case are compared with those found by a completely different method in order to check the validity of the finite difference methods. The agreement is excellent. The effect of different mesh sizes on the theoretical seismograms is studied next and a suitable grid system selected for the applications that follow. The development of Rayleigh waves on the surface of a half-space and the change of the Rayleigh wave with depth and pulse width are examined. The problem of a layered half-space with a high velocity bottom is considered and the refraction arrivals on the surface and on the interface are studied. The problem of interface waves on the surface separating two semiinfinite media is also examined. Interface waves are found when the physical parameters lie both inside and outside the region determined by the Stoneley equation. Finally, a series of theoretical seismograms for a layered half-space showing the variation of the surface waves as a function of depth and of the density in the lower medium is presented.
Footnotes
* On leave from the Weizmann Institute of Science, Rehovot, Israel.
This article has been cited by other articles:
|
|
 |
|
  K. Hatayama, T. Kanno, and K. Kudo Control Factors of Spatial Variation of Long-Period Strong Ground Motions in the Yufutsu Sedimentary Basin, Hokkaido, during the Mw 8.0 2003 Tokachi-oki, Japan, Earthquake Bulletin of the Seismological Society of America, August 1, 2007; 97(4): 1308 - 1323. [Abstract] [Full Text] [PDF]
|
|
|
|
|
|
J. Kristek and P. Moczo On the Accuracy of the Finite-Difference Schemes: The 1D Elastic Problem Bulletin of the Seismological Society of America, December 1, 2006; 96(6): 2398 - 2414. [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]
|
|
|
|
|
|
Finite Volume Method for 2D Elastic Wave Propagation Bulletin of the Seismological Society of America, August 1, 2004; 94(4): 1500 - 1509.
|
|
|
|
|
|
D.-J. Min, C. Shin, and H. S. Yoo Free-Surface Boundary Condition in Finite-Difference Elastic Wave Modeling Bulletin of the Seismological Society of America, February 1, 2004; 94(1): 237 - 250. [Abstract] [Full Text] [PDF]
|
|
|
|
|
|
R. Stacey Stability Analysis of Finite-Difference Approximations of Elastic Wave Equations Bulletin of the Seismological Society of America, June 1, 2003; 93(3): 1198 - 1211. [Abstract] [Full Text] [PDF]
|
|
|
|
|
|
Domain Reduction Method for Three-Dimensional Earthquake Modeling in Localized Regions, Part I: Theory Bulletin of the Seismological Society of America, April 1, 2003; 93(2): 817 - 824.
|
|
|
|
|
|
Estimation of Radiated Energy of Finite-Source Earthquake Models Bulletin of the Seismological Society of America, December 1, 2002; 92(8): 2994 - 3005.
|
|
|
|
|
|
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.
|
|
|
|
|
|
Discontinuous-Grid Finite-Difference Seismic Modeling Including Surface Topography Bulletin of the Seismological Society of America, December 1, 2001; 91(6): 1750 - 1764.
|
|
|
|
|
|
S. Aoi and H. Fujiwara 3D finite-difference method using discontinuous grids Bulletin of the Seismological Society of America, August 1, 1999; 89(4): 918 - 930. [Abstract] [PDF]
|
|
|
|
|
|
J. K. Hammer and C. A. Langston Modeling the effect of San Andreas fault structure on receiver functions using elastic 3D finite difference Bulletin of the Seismological Society of America, October 1, 1996; 86(5): 1608 - 1622. [Abstract] [PDF]
|
|
|
|
|
|
A. Pitarka, D. Suetsugu, and H. Takenaka Elastic finite-difference modeling of strong motion in Ashigara Valley for the 1990 Odawara, Japan, earthquake Bulletin of the Seismological Society of America, August 1, 1996; 86(4): 981 - 990. [Abstract] [PDF]
|
|
|
|
|
|
G. S. Wagner Numerical simulations of wave propagation in heterogeneous wave guides with implications for regional wave propagation and the nature of lithospheric heterogeneity Bulletin of the Seismological Society of America, August 1, 1996; 86(4): 1200 - 1206. [Abstract] [PDF]
|
|
|
|
|
|
Y.-G. Li and J. E. Vidale Low-velocity fault-zone guided waves: Numerical investigations of trapping efficiency Bulletin of the Seismological Society of America, April 1, 1996; 86(2): 371 - 378. [Abstract] [PDF]
|
|
|
|
|
|
A. Pitarka and K. Irikura Basin structure effects on long-period strong motions in the San Fernando Valley and the Los Angeles Basin from the 1994 Northridge earthquake and an aftershock Bulletin of the Seismological Society of America, February 1, 1996; 86(1B): S126 - S137. [Abstract] [PDF]
|
|
|
|
|
|
J. S. Haase, E. Hauksson, F. Vernon, and A. Edelman Modeling of ground motion from a 1994 Northridge aftershock using a tomographic velocity model of the Los Angeles Basin Bulletin of the Seismological Society of America, February 1, 1996; 86(1B): S156 - S167. [Abstract] [PDF]
|
|
|
|
|
|
O. Coutant, J. Virieux, and A. Zollo Numerical source implementation in a 2D finite difference scheme for wave propagation Bulletin of the Seismological Society of America, October 1, 1995; 85(5): 1507 - 1512. [Abstract] [PDF]
|
|
|
|
|
|
J. Zahradnik Comment on "A hybrid method for the estimation of ground motion in sedimentary basins: Quantitative modeling for Mexico City" by D. Fah, P. Suhadolc, St. Mueller, and G. F. Panza Bulletin of the Seismological Society of America, August 1, 1995; 85(4): 1268 - 1270. [Abstract] [PDF]
|
|
|
|
|
|
G. E. Quiroga-Goode, E. S. Krebes, and L. H. T. Le Modeling viscoelastic waves: a comparison of ray theory and the finite-difference method Bulletin of the Seismological Society of America, December 1, 1994; 84(6): 1882 - 1888. [Abstract] [PDF]
|
|
|
|
|
|
A. S. Pitarka, H. Takenaka, and D. Suetsugu Modeling strong motion in the Ashigara Valley for the 1990 Odawara, Japan, earthquake Bulletin of the Seismological Society of America, October 1, 1994; 84(5): 1327 - 1335. [Abstract] [PDF]
|
|
|
|
|
|
D. Fah, P. Suhadolc, St. Mueller, and G. F. Panza A hybrid method for the estimation of ground motion in sedimentary basins: Quantitative modeling for Mexico city Bulletin of the Seismological Society of America, April 1, 1994; 84(2): 383 - 399. [Abstract] [PDF]
|
|
|
|
|
|
C. K. Saikia, D. S. Dreger, and D. V. Helmberger Modeling of energy amplification recorded within Greater Los Angeles using irregular structure Bulletin of the Seismological Society of America, February 1, 1994; 84(1): 47 - 61. [Abstract] [PDF]
|
|
|
|
|
|
R. Stacey New finite-difference methods for free surfaces with a stability analysis Bulletin of the Seismological Society of America, February 1, 1994; 84(1): 171 - 184. [Abstract] [PDF]
|
|
|
|
|
|
J.{B.}I ZAHRADNIK, P. MOCZO, and F.{B.}E. HRON Testing four elastic finite-difference schemes for behavior at discontinuities Bulletin of the Seismological Society of America, February 1, 1993; 83(1): 107 - 129. [Abstract] [PDF]
|
|
|
|
|
|
A. FRANKEL and J. VIDALE A three-dimensional simulation of seismic waves in the Santa Clara Valley, California, from a Loma Prieta aftershock Bulletin of the Seismological Society of America, October 1, 1992; 82(5): 2045 - 2074. [Abstract] [PDF]
|
|
|
|
|
|
J. E. VIDALE Comment on "A comparison of finite-difference and fourier method calculations of synthetic seismograms" Bulletin of the Seismological Society of America, April 1, 1990; 80(2): 493 - 495. [PDF]
|
|
|
|
|
|
J. E. VIDALE and D. V. HELMBERGER Elastic finite-difference modeling of the 1971 San Fernando, California earthquake Bulletin of the Seismological Society of America, February 1, 1988; 78(1): 122 - 141. [Abstract] [PDF]
|
|
|
|
|
|
A. R. LEVANDER Use of the telegraphy equation to improve absorbing boundary efficiency for fourth-order acoustic wave finite difference schemes Bulletin of the Seismological Society of America, December 1, 1985; 75(6): 1847 - 1852. [PDF]
|
|
|
|
|
|
A. FRANKEL and R. W. CLAYTON A finite-difference simulation of wave propagation in two-dimensional random media Bulletin of the Seismological Society of America, December 1, 1984; 74(6): 2167 - 2186. [Abstract] [PDF]
|
|
|
|
|
|
N. R. HILL and A. R. LEVANDER Resonances of low-velocity layers with lateral variations Bulletin of the Seismological Society of America, April 1, 1984; 74(2): 521 - 537. [Abstract] [PDF]
|
|
|
|
|
|
C. H. CHAPMAN and R. DRUMMOND Body-wave seismograms in inhomogeneous media using Maslov asymptotic theory Bulletin of the Seismological Society of America, December 1, 1982; 72(6B): S277 - S317. [Abstract] [PDF]
|
|
|
|
|
|
B. KUMMER and A. BEHLE Second-order finite-difference modeling of SH-wave propagation in laterally inhomogeneous media Bulletin of the Seismological Society of America, June 1, 1982; 72(3): 793 - 808. [Abstract] [PDF]
|
|
|
|
|
|
J. VIRIEUX and R. MADARIAGA Dynamic faulting studied by a finite difference method Bulletin of the Seismological Society of America, April 1, 1982; 72(2): 345 - 369. [Abstract] [PDF]
|
|
|
|
|
|
M. FUYUKI and Y. MATSUMOTO Finite difference analysis of Rayleigh wave scattering at a trench Bulletin of the Seismological Society of America, December 1, 1980; 70(6): 2051 - 2069. [Abstract] [PDF]
|
|
|
|
|
|
C. N. G. DAMPNEY A line source on a solid-solid interface--A study of the pseudo-Stoneley wave Bulletin of the Seismological Society of America, August 1, 1972; 62(4): 1017 - 1027. [Abstract] [PDF]
|
|
|
|
|
|
N. A. HASKELL and K. C. THOMSON Elastodynamic near-field of a finite, propagating tensile fault Bulletin of the Seismological Society of America, June 1, 1972; 62(3): 675 - 697. [Abstract] [PDF]
|
|
|
|
|
|
M. OTTAVIANI Elastic-wave propagation in two evenly-welded quarter-spaces Bulletin of the Seismological Society of America, October 1, 1971; 61(5): 1119 - 1152. [Abstract] [PDF]
|
|
|
|
|
|
F. ABRAMOVICI Numerical seismograms for a layered elastic solid Bulletin of the Seismological Society of America, December 1, 1970; 60(6): 1861 - 1876. [Abstract] [PDF]
|
|
|
|
|
|
Z. S. ALTERMAN and A. ROTENBERG Seismic waves in a quarter plane Bulletin of the Seismological Society of America, February 1, 1969; 59(1): 347 - 368. [Abstract] [PDF]
|
|
| HOME | HELP | FEEDBACK | SUBSCRIPTIONS | ARCHIVE | SEARCH | TABLE OF CONTENTS |
