Vertical amplitude reduction of Rayleigh waves by a row of piles in a poroelastic half‐space

Abstract

SUMMARYA row of rigid piles is addressed as the countermeasures for isolating Rayleigh waves in a poroelastic half-space. The complex characteristic equations for Rayleigh waves are derived via Biot's theory and their existence conditions are given. The piles are modeled as Euler-Bernoulli beams with longitudinal displacements and the diffracted field by each pile is constructed only with Rayleigh waves. Six infinite linear systems of algebraic equations are obtained in terms of the equilibrium of forces and continuity of displacements at the pile-soil interfaces. The systems are subsequently solved in the complex leastsquares sense. The influence of certain pile and soil characteristics such as the permeability of poroelastic soil, spacing between the piles and length of the piles on the isolating performance of a pile barrier is investigated. Computed results show that the permeability of poroelastic soil displays a significant effect on the vertical amplitude reduction of Rayleigh waves.

Two-dimensional numerical approach for the vibration isolation analysis of thin walled wave barriers in poroelastic soils

“…When compared with elastic soils, much less works dealing with the efficiency of wave barriers in poroelastic soils exist. Cai et al [13,12] and Xu et al [36] studied the isolation efficiency of rows of piles in poroelastic soils using semi-analytical methods, and Cao et al [14] did the same for open trenches under a moving load. As it is seen, the BEM has been widely applied to study these types of problems because of its own capability to deal with unbounded regions.…”

Numerical Analysis of Vibration Isolation Using Pile Rows against the Vibration due to Moving Loads in a Viscoelastic Medium

“…Considering the coupling effects between the soil skeleton and underground water, Cao et al [2] proposed an analytical model to investigate the screening efficiency of trenches to moving-load induced ground vibrations based on Biot's dynamic poroelastic theory. Cai et al [3] investigated the vibration isolation effect of pile rows embedded in a poroelastic medium by using the wave function expansion method. Kattis et al [4,5] used 3D BEM to calculate the screening effectiveness of a pile row in the frequency domain.…”

Ground Vibration Isolation of Multiple Scattering by Using Rows of Tubular Piles as Barriers

“…Xu et al [14,15] initiated single-row tubular piles as screening barrier utilizing wave function expansion method under the circumstance of P and SV waves' incidence. Cai et al [16][17][18] studied the wave scattering by single-row piles in poroelastic soil with the aids of Fourier-Bessel series expansion. Tsai et al [19] applied a 3D BEM in the frequency domain to investigate the screening effectiveness of circular piles in a row for a massless square foundation subjected to harmonic vertical loading.…”