Location
St. Louis, Missouri
Presentation Date
05 Apr 1995, 1:30 pm - 3:30 pm
Abstract
The weighted residual method was applied to the problem of scattering and diffraction of plane SH-waves by a shallow alluvial valley of arbitrary shape on the surface of a two-dimensional half-space. The formulation was also applied to the case of a shallow canyon. In order to demonstrate the versatility of the method, it was applied to shallow circular, shallow elliptical, and shallow rectangular canyons and alluvial valleys. Results obtained for the cases of a semi-cylindrical and a shallow semi-elliptical valleys and canyons match those obtained using closed form solutions. It was shown that significant ground motion amplifications, with respect to the amplitude of incident waves, occurred near and in the canyon or valley. Amplifications were dependent upon the shape and depth of the canyon or valley, the relative properties of the alluvium in the valley and the surrounding medium, and the frequency and angle of incidence of incoming waves. Amplification profiles for the lower frequency incident waves were simple near the canyon and valley on the surface of the half-space with peak amplifications that did not significantly vary from 2, the value expected on the surface of the half-space. Within a valley containing softer alluvium, the amplification profile is more complex with values larger than 2. Within the canyon, amplification profiles remained simple with peaks near 2. As the frequency of the incident waves are increased, the amplification profiles near the canyon and valley became more complicated with peak values exceeding 5 for rectangular shaped valleys. Within the canyon, the profiles were similar. On the surface of the valley, the amplification profiles are more complex with peak values exceeding 10 for many valley configurations.
Department(s)
Civil, Architectural and Environmental Engineering
Meeting Name
3rd International Conference on Recent Advances in Geotechnical Earthquake Engineering and Soil Dynamics
Publisher
University of Missouri--Rolla
Document Version
Final Version
Rights
© 1995 University of Missouri--Rolla, All rights reserved.
Creative Commons Licensing
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.
Document Type
Article - Conference proceedings
File Type
text
Language
English
Recommended Citation
Manoogian, M. E. and Lee, V. W., "Scattering of SH-Waves by Arbitrary Surface Topography" (1995). International Conferences on Recent Advances in Geotechnical Earthquake Engineering and Soil Dynamics. 2.
https://scholarsmine.mst.edu/icrageesd/03icrageesd/session10/2
Included in
Scattering of SH-Waves by Arbitrary Surface Topography
St. Louis, Missouri
The weighted residual method was applied to the problem of scattering and diffraction of plane SH-waves by a shallow alluvial valley of arbitrary shape on the surface of a two-dimensional half-space. The formulation was also applied to the case of a shallow canyon. In order to demonstrate the versatility of the method, it was applied to shallow circular, shallow elliptical, and shallow rectangular canyons and alluvial valleys. Results obtained for the cases of a semi-cylindrical and a shallow semi-elliptical valleys and canyons match those obtained using closed form solutions. It was shown that significant ground motion amplifications, with respect to the amplitude of incident waves, occurred near and in the canyon or valley. Amplifications were dependent upon the shape and depth of the canyon or valley, the relative properties of the alluvium in the valley and the surrounding medium, and the frequency and angle of incidence of incoming waves. Amplification profiles for the lower frequency incident waves were simple near the canyon and valley on the surface of the half-space with peak amplifications that did not significantly vary from 2, the value expected on the surface of the half-space. Within a valley containing softer alluvium, the amplification profile is more complex with values larger than 2. Within the canyon, amplification profiles remained simple with peaks near 2. As the frequency of the incident waves are increased, the amplification profiles near the canyon and valley became more complicated with peak values exceeding 5 for rectangular shaped valleys. Within the canyon, the profiles were similar. On the surface of the valley, the amplification profiles are more complex with peak values exceeding 10 for many valley configurations.
