Effect of interfacial slip on the kinematic and dynamic parameters of elastic waves in a fluid-saturated porous medium

The method proposed by Bedford, Costley, and Stern (in 1984) is used to derive the expressions for the drag and virtual mass coefficients involved in the equations of the acoustics of fluid-saturated porous media taking into account the interfacial slip. Special consideration is given to the case of gas-filled pores, which allows one to obtain the expression for the isothermal slip factor in an explicit form by solving the Boltzmann kinetic equation. It is shown that, for longitudinal waves of the first kind and transverse waves, the effect of the interfacial slip on their velocities is small. The presence of the interfacial slip leads to an increase in the attenuation coefficients of these waves, but the corresponding calculated values prove to be much smaller than the measured ones. For the longitudinal waves of the second kind, the effect of the interfacial slip on their kinematic and dynamic parameters is considerable and can be estimated experimentally.