Analysis of Individual Contribution of Two Compression Waves in Vertical Vibration of Water-Saturated Soils

Abstract

Based on the Biots dynamic consolidation equation, the individual contributions of these two compression waves in vertical vibration of water-saturated soils are analyzed. The equation belong to displacements of solid skeleton is established by using the decoupling of dynamic equation which is combined with boundary conditions to derive an analytic solution about displacements of solid skeleton under the excitation of the individual contributions of these two waves. And then, displacements of pore fluid and pressure of pore water under the excitation of the individual contributions of these two waves are obtained on the basis of that analytic solution. The attenuation of these two types of compression waves influenced by pore permeability is examined and it should be mentioned that, the contribution of the second compression wave is the main consideration when permeability coefficient is large, on the contrary, the contribution of different compression wave should be considered on the different soil column height when permeability coefficient is small.