Propagation and Attenuation of Statistically Stationary Ground Vibrations due to Human Activities

摘要

Ground vibrations induced by human activities that can be considered a statistically stationary process can be represented by analytical solutions to Lamb's problem. For a viscously damped half-space modeled as a Kelvin-Voigt solid, the attenuation is governed by radiation and an exponential law with an argument dependent on the soil's damping ratio and Rayleigh wavelength. An estimator of the damping ratio is presented based on an energy analysis, and a field scale is introduced to filter near-field components from measurements. A spectral analysis of surface waves (SASW)-type test is used to determine the Rayleigh wave velocity through a frequency wavenumber transformation of the wave field, and the vibrations caused by a periodic excitation are used to determine the damping ratio. A comparison against a pseudo-attenuation power law is presented in terms of ground vibration prediction.