Based on Leclaire’s extension of the Biot model for saturated porous elastic medium

the propagation characteristics of the body waves in a three-phase porous elastic medium with two types of solid phase components are studied. Firstly

based on the Helmholtz decomposition of the displacement vector

the characteristic equations of the body waves in saturated frozen soil are established. Then the effects of the volume fraction of each phase

the shape of the particles and the contact between the particles on the inertial parameters

viscous parameters and elastic parameters are studied. The model of saturated frozen soil is degraded. The characteristic equations and propagation characteristics of body waves are analyzed assuming only liquid water or ice in pores. Finally

a numerical calculation is carried out to explore the relationship among phase velocity

attenuation coefficient of waves and parameters of soil consolidation

saturation

porosity

particle contact

wave frequency etc. The calculation results show that

different from saturated soil

there are 5 types of body waves in saturated frozen soil

i.e. 3 compressional waves and 2 shear waves. All body waves present dispersion and attenuation. The dispersion and attenuation of P1 wave and S1 wave are much smaller than those of P2

P3 and S2 waves. Body wave propagations are significantly affected by cementation parameters

saturation and porosity

but are slightly affected by contact parameters.