Numerical investigation of wave propagation in high-permeable cylindrical waveguide in porous medium

Abstract

Abstract The features of waves propagating in a highly permeable cylindrical waveguide in a porous medium are numerically investigated. The influence of the ratio of permeability inside the cavity and the surrounding porous medium, as well as the signal frequency on the evolution of the pressure wave inside the cavity is studied. On the basis of the calculated data, estimates of the velocity and attenuation of the signal during its propagation in the waveguide in a wide frequency range are obtained. It is shown that with the increase in the waveguide permeability, the propagation velocity increases and the attenuation of waves decreases, the depth of penetration of perturbations into the surrounding space decreases. Increasing the frequency of the initial signal leads to an increase in the velocity and attenuation of the pulse. A comparison is made with the case of wave propagation in a liquid-filled cylindrical cavity in a porous medium. The results of the study can be used in the interpretation of well logging data.