Abstract
The permeability of saturated soils has great influence on the velocities and attenuation characteristics of fast compressional wave P1, low compressional wave P2, and shear wave S in saturated soils, respectively. In three different cases, namely zero, finite, and infinite permeability, the wave equations and theoretical velocities of P1, P2, and S wave in saturated soils are given based on the u-w-p equation, respectively. According to the solutions of the wave equations, the real velocities and attenuation coefficients of three waves are redefined, respectively. In different saturated soils, the influences of the permeability and the loading frequency on the wave velocities and attenuation are discussed, respectively. Moreover, the suitable application scope of the u-p equation is discussed based on different permeabilities and loading frequencies.
Highlights
Saturated soils are a saturated porous medium consisting of a solid skeleton and pore water
Present research on wave propagation behaviors in saturated soils mainly focus on the velocities, frequency dispersion, velocity attenuation characteristics, etc
The results showed that the fluid phase had a great influence on the frequency dispersion and attenuation characteristics of unsaturated soils, whether under loadings or not
Summary
Saturated soils are a saturated porous medium consisting of a solid skeleton and pore water. The P1 wave propagates in both of the solid and fluid phases with the same velocity because of the compressibility of the saturated porous medium [17]. Present research on wave propagation behaviors in saturated soils mainly focus on the velocities, frequency dispersion, velocity attenuation characteristics, etc. The effect of the physical parameters, such as the loading frequency and permeability, on the wave propagation characteristics are analyzed [18]. Han et al [33] showed that the frequency dispersion and attenuation characteristics of two compressional waves are dependent on the range of the loading frequency, but are are remarkably affected by the permeability of saturated soils. The suitable scope of the u-p formulation is discussed according to the contrasts of the wave velocities obtained from the u-p and u-w-p formulations
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