Scattering of Plane Waves by a 3-D Canyon in Layered Half-Space

Abstract eng:
This paper presents a solution for plane waves scattering by a 3-D canyon in layered half-space in frequency domain by indirect boundary element method (IBEM), based on the exact dynamic stiffness matrices and the dynamic Green’s functions for uniformly distributed loads acting an inclined plane in 3-D layered half-space by the authors. The free-field response is carried out to give the displacements and stresses on the curved plane which forms the boundary of the canyon. The fictitious uniformly distributed loads are applied on the same curved plane to calculate the Green’s functions for the displacements and stresses. The amplitudes of the loads are determined by the boundary conditions. The displacements due to the free field and due to the fictitious uniformly distributed loads are added to obtain the whole motion. The accuracy of the solution is verified by comparison with the known solutions. The numerical calculations and analyses are performed for a hemispherical canyon in one single layer over half-space for incident waves. The results show that there exist distinct differences between the surface motion of a canyon in layered half-space and that in homogeneous half-space. It is found that the dynamic characteristics of the layered half-space significantly affect both the amplitudes and frequency spectrum of the surface motion.

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