Propagation of Waves of Different Geometries in a Porous Medium Saturated with Two Immiscible Liquids

Abstract

Propagation of waves of different geometries (plane, cylindrical and spherical) in a porous medium saturated with two immiscible liquids: a wetting (water) and a non-wetting (oil/gas) is considered. Unified dispersion relations for waves with different geometries are obtained. It is shown that the dependence of phase velocities on frequency is the same for plane, cylindrical and spherical waves (with axial symmetry) and independent of the geometry of the process. Using dispersion relations, the influence of oscillation frequency on the phase velocities of longitudinal and transverse waves at various viscosity ratios of the wetting and non-wetting phases and the capillary pressure difference in the phases is investigated.