With the application of continuum theory of mixture
which takes the three-phase media
including grains
fluid and ice into account
the dispersion equations of body waves are established for saturated frozen soil by considering Bishop’s effective stress formula. The equations are described with skeleton displacement
pore water displacement
pore water pressure and pore ice pressure. The analytical expressions of wave velocity and attenuation are deduced. The effects of frequency and the parameters of saturated frozen soils on the velocity and attenuation of three kinds of body waves (P1 wave
P2 wave and S wave
respectively) are investigated by using numerical method