Abstract: The spherical stability of the bubble in compressible liquid is of great significance for the stable operation of nuclear power plant equipment and its auxiliary flow components. In this paper, the theoretical model of the bubble spherical disturbance in compressible liquid is established by employing the matched asymptotic expansion method. Based on the bubble wall Mach number, the liquid near the bubble wall is divided into internal field and external field. The liquid at the internal field is approximated as incompressible liquid and calculated by the Laplace equation. The liquid at the external field is regarded as the compressible liquid and described by the wave equation. The bubble spherical perturbation equation in compressible liquid is derived by the internal and external matching asymptotic expansion method. Based on the two representations of the enthalpy in the disturbance equation（whether enthalpy is replaced by pressure）, the differences of the physical quantities（the perturbation amplitude, the change velocity and acceleration of the perturbation amplitude） related to the oscillation characteristics of the bubble spherical perturbation predicted by the two equations are discussed. By quantitatively comparison, it is found that the difference between the prediction results of the two equations is mainly reflected in the extreme values of the above physical quantities, and the extreme values predicted by the equation expressed by the enthalpy is larger. Moreover, the effects of the initial bubble radius and ambient pressure on the prediction results of the two equations are also quantitatively investigated.