A layered solid system with limited depth is cut off from a layered halfspace in horizontal direction. Rigid boundary is set for the bottom of the layered solid system. The layers of the solid system are divided into mini-layers. The dispersions of surface waves are obtained by stiffness matrix method. The dispersions of Rayleigh mode waves can be filtered out from dispersions of surface waves according to attenuation behaviour of vertical displacement of Rayleigh waves in bottom layer. The Rayleigh mode waves in the layered solid are corresponding to ones in layered halfspace within a certain range of frequency. The lower limit of frequency is related to thickness of layered solid. The bigger the thickness is

the smaller the lower limit of frequency is. The relationships between thicknesses of mini-layers

the thickness of layered solid and interested frequencies are analyzed.