利用解析法建立了两流体固体介质中斯通利波的特征方程及其位移计算公式，并进一步分析讨论了流体固体介质中瑞利波的弥散特性和传播规律。两半无限流体固体介质中斯通利波波速度是非频散的，波速比ｃ／ Ｖｓ 比匀质半空间中瑞利波波速比小，且ｃ／ Ｖｓ 受泊松比μ影响较小，一般情况模量比ｑ 对ｃ／ Ｖｓ 影响很小。流体固体成层介质中瑞利波具有弥散性，波长短时，相速度ｃ 趋于最上层固体的斯通利波波速，波长长时则趋于最下层固体的瑞利波波速 The analytic method is used to establish the characteristic equation and the displacement formula of Stoneley wave in the two-fluid-solid medium. The dispersion and propagation of the Rayleigh wave in the fluid-solid medium are further analyzed and discussed. The velocities of Stoneley waves in the two half-infinite fluid-solid media are non-dispersive, the wave velocity ratio c / Vs is lower than the Rayleigh wave velocity ratio in homogeneous half-space, and c / Vs is less affected by Poisson’s ratio μ, In general, modulus q has little effect on c / Vs. The Rayleigh wave in the fluid-solid layered medium has diffusivity. When the wavelength is short, the phase velocity c tends to the Stoneley wave velocity of the uppermost solid, and the Rayleigh wave velocity tends to the lowest solid when the wavelength is long