|
|
 |
|||||||||||||||||
|
|||||||||||||||||
 |
|||||||||||||||||
| JOURNAL HOME | HELP | CONTACT PUBLISHER | SUBSCRIBE | ARCHIVE | SEARCH | TABLE OF CONTENTS |
Article |
U.S. Geological Survey
MS 966, Box 25046
Denver Federal Center
Denver, CO 80225
savage{at}usgs.gov
Manuscript received 29 September 2003.
An exact solution for the effects of topography on Rayleigh wave amplification is presented. The solution is obtained by incorporating conformal mapping into complex-variable stress functions developed for free Rayleigh wave propagation in an elastic half-space with a flat upper surface. Results are presented for free Rayleigh wave propagation across isolated symmetric ridges and valleys. It is found for wavelengths that are comparable to ridge widths that horizontal Rayleigh wave amplitudes are amplified at ridge crests and that vertical amplitudes are strongly reduced near ridge crests relative to horizontal and vertical amplitudes of free Rayleigh waves in the flat case. Horizontal amplitudes are strongly deamplified at valley bottoms relative to those for the flat case for Rayleigh wavelengths comparable to valley widths. Wave amplitudes in the symmetric ridges and valleys asymptotically approach those for the flat case with increased wavelengths, increased ridge and valley widths, and with horizontal distance from and depth below the isolated ridges and valleys. Also, prograde particle motion is predicted near crests of narrow ridges and near the bottoms of narrow valleys. Finally, application of the theory at two sites known for topographic wave amplification gives a predicted surface wave amplification ratio of 3.80 at the ridge center for a frequency of 1.0 Hz at Robinwood Ridge in northern California and a predicted surface wave amplification ratio of 1.67 at the ridge center for the same frequency at the Cedar Hill Nursery site at Tarzana in southern California.
Related articles in Bulletin of the Seismological Society of America:
This article has been cited by other articles:
|
|
 |
|
  J. L. Bonner, M. R. Leidig, C. Sammis, and R. J. Martin Explosion Coupling in Frozen and Unfrozen Rock: Experimental Data Collection and Analysis Bulletin of the Seismological Society of America, April 1, 2009; 99(2A): 830 - 851. [Abstract] [Full Text] [PDF]
|
|
|
|
|
|
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]
|
|
|
|
|
|
A. Souriau, A. Roulle, and C. Ponsolles Site Effects in the City of Lourdes, France, from H/V Measurements: Implications for Seismic-Risk Evaluation Bulletin of the Seismological Society of America, December 1, 2007; 97(6): 2118 - 2136. [Abstract] [Full Text] [PDF]
|
|
|
|
|
|
H. Goto and S. Sawada Comment on "An Exact Solution for Effects of Topography on Free Rayleigh Waves" by William Z. Savage Bulletin of the Seismological Society of America, February 1, 2007; 97(1B): 353 - 353. [Full Text] [PDF]
|
|
|
|
|
|
W. Z. Savage Reply to "Comment on 'An Exact Solution for Effects of Topography on Free Rayleigh Waves' by William Z. Savage," by H. Goto and S. Sawada Bulletin of the Seismological Society of America, February 1, 2007; 97(1B): 354 - 354. [Full Text] [PDF]
|
|
| JOURNAL HOME | HELP | CONTACT PUBLISHER | SUBSCRIBE | ARCHIVE | SEARCH | TABLE OF CONTENTS |
