Study of radial vibrations in a fluid‐filled poroelastic cylindrical bore saturated with two immiscible fluids

In this paper, radial vibrations of a fluid‐filled poroelastic cylindrical bore saturated with two immiscible fluids of infinite extent are investigated. By considering the stress‐free boundaries, the frequency equation is obtained. Particular case, namely, fluid‐filled poroelastic cylinder saturated with single fluid is discussed. In both cases, phase velocity is computed as a function of wavenumber for different porosity values. The parameter values of Columbia fine sandy loam saturated with air‐water mixture are used for the numerical evaluation. The numerical results are presented graphically and then discussed. Wave propagation in a fluid‐filled borehole embedded in an infinite poroelastic medium is of great importance due to its various applications. Bore hole studies are of great help in exploration of oils, gases, and hydro‐carbons. This interest is strongly linked to the oil industry and the need to estimate the fluid mobility in reservoirs. Beyond the scope of geophysical applications, the understanding of wave propagation in cylindrical poroelastic structures is of great importance in the areas of non‐destructive testing, Mechanical Engineering and Civil Engineering. In this paper, radial vibrations of a fluid‐filled poroelastic cylindrical bore saturated with two immiscible fluids of infinite extent are investigated. By considering the stress‐free boundaries, the frequency equation is obtained. Particular case, namely, fluid‐filled poroelastic cylinder saturated with single fluid is discussed. In both cases, phase velocity is computed as a function of wavenumber for different porosity values. The parameter values of Columbia fine sandy loam saturated with air‐water mixture are used for the numerical evaluation.…