Scattering of SH waves induced by a symmetrical V

Authors: Ning Zhang Yufeng Gao Dayong Li Yongxin Wu Fei Zhang

Publish Date: 2012/12/19

Volume: 11, Issue: 4, Pages: 445-460

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Abstract

This paper reports a series solution of wave functions for twodimensional scattering and diffraction of plane SH waves induced by a symmetrical Vshaped canyon with different shape ratios A halfspace with a symmetrical Vshaped canyon is divided into two subregions by using a circulararc auxiliary boundary The two subregions are represented by global and local cylindrical coordinate systems respectively In each coordinate system the wave field satisfying the Helmholtz equation is represented by the separation of variables method in terms of the series of both Bessel functions and Hankel functions with unknown complex coefficients Then the two wave fields are described in the local coordinate system using the Graf addition theorem Finally the unknown coefficients are sought by satisfying the continuity conditions of the auxiliary boundary To consider the phase characteristics of the wave scattering a parametric analysis is carried out in the time domain by assuming an incident signal of the Ricker type Surface and subsurface transient responses demonstrate the characteristics and mechanisms of wave propagating and scattering

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