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| Scattering of plane P waves by canyons containing multiple circular-arc-shaped layers |
| Yushan Zhang |
| China Earthquake Disaster Prevention Center, Beijing 100029, China |
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Abstract By expressing the wave functions in the form of Fourier-Bessel series, the analytical solution for the two-dimension scattering problem of plane P waves by the cylindrical canyon topography that contains arbitrary number of circular-arc-shaped layers is presented firstly. And then, the convergence of the proposed series solution with the truncation number of terms is discussed, which demonstrates that the analytical solution can converge even for very high frequencies of the incident P wave. Finally, using this solution, the influences that are imposed on the stationary ground motion by the number and the sequence of alluvial layers, as well as the stiffness of soft interlayer contained in the canyon, are studied.
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Received: 27 November 2009
Published: 10 April 2010
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| Fund:the National Natural Science Foundation of China under grant No. 50608066 and Chinese Earthquake Science Foundation under grant No. A07045 |
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Corresponding Authors:
Yushan Zhang
E-mail: hyszhang@163.com
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