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Antiplane Scattering of SH Waves by a Trapezoidal Valley with a Circular-Arc Alluvium in an Elastic Half Space

Chao Zhang

College of Civil Engineering, Hunan University, Changsha, Hunan 410082, P. R. China

Department of Civil and Environmental Engineering, Michigan Technological University, Houghton, Michigan 49931, USA

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Qijian Liu

College of Civil Engineering, Hunan University, Changsha, Hunan 410082, P. R. China

Corresponding author.

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, and

Peng Deng

Department of Civil and Environmental Engineering, Colorado School of Mines, Golden, Colorado 80401, USA

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https://doi.org/10.1142/S1793431115500086Cited by:14

Abstract

Both lithologic and topographic irregularities may trigger significant scattering phenomenon of seismic waves. In this study, a series solution is presented for the analysis of scattering of SH waves induced by a trapezoidal valley during earthquakes. An appropriate region matching technique is utilized to divide the physical region into four computational subregions. The wave motions of each subregion are obtained as an infinite series of wave functions with unknown coefficients in the respective cylindrical coordinates through wave function expansion method. The Graf's addition theorem is applied to transform the wave potentials of each subregion into the global coordinate. The mixed boundary conditions are solved by truncating the obtained infinite equations into a finite set. The effects of geometrical topographies and sedimentary properties on the amplification are analyzed and discussed in terms of steady-state and transient response analysis.

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Vol. 09, No. 03

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History

Received 22 April 2015

Accepted 29 June 2015

Published: 23 July 2015

Keywords

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Antiplane Scattering of SH Waves by a Trapezoidal Valley with a Circular-Arc Alluvium in an Elastic Half Space

Abstract

References

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