Multiple scattering of P and SV waves by muti-row arbitrarily arranged elastic piles barrier

A theoretical method for calculating the multiple scattering of P and SV waves by arbitrarily arranged and circular cross-sectional multi-row elastic piles barrier was presented to cover the shortage that single scattering hypothesis is reasonable only when the cross-sectional size is negligible compared with the incident wave length. In the method the interference phenomenon was considered as well. The direct scattering of P and SV waves by an arbitrary elastic pile was defined as the first order scattering, which was then regarded as the secondary wave source of the second order scattering and all the scatterers and successive orders would follow this multiple scattering process. Each order of scattering satisfies the condition of stress and displacement continuity at pile-soil interface and this leads to obtain an iteration relationship of wave functions. The total scattering wave field was achieved by composing all orders of scattering by scatterers. The influences of scattering orders, separations of piles, distances between pile-rows and shear modulus ratio of pile to soil etc. on isolation effectiveness of pile barriers were investigated. The results give a referred basis for vibration isolation design in practical engineering.