abstract
- © ASCE. In this paper we consider the propagation of elastic waves in gas-filled porous media at small but non-zero Knudsen numbers 0 < Kn ¿ 0.3 (the so-called slip regime). In this case, it is possible to apply the classic equations of hydrodynamics with modified boundary conditions. Here we consider the problem of modelling of oscillation of a system of gas-filled infinite cylindrical capillaries for the slip flow mode. We have obtained the expressions for drag and added mass coefficients for the Biot equations. We have found that drag coefficient and added mass depend considerably on the Knudsen number and accommodation coefficients. The influence of interfacial slip effect on the velocities of first kind compressional and shear waves is small, but the velocity and attenuation of the longitudinal wave of the second kind are considerably influenced by this effect. The results obtained show the fundamental possibility of solving the important inverse problem: the definition of the accommodation coefficient by measuring the velocity of longitudinal wave of the second kind for different values of gas pressure (or the Knudsen number).