In order to investigate the permeability of porous media，it is necessary to figure out the property of wave propagation in this medium． The authors calculated the full waveforms and the 2-dimensional spectrum of fluid saturated porous media，analyzed the wave propagation characteristics of different permeable stratums． From the theoretical acoustic pressure waveform received at the well-axis and the 2-D spectrum it is revealed that longitudinal-，transverse-，Stoneley-，pseudo-Rayleigh-，longitudinal mode-and transverse mode waves are different in characters in various permeable strata． Stoneley wave is sensitive to the change of permeability，and its frequency range and amplitude attenuation are influenced by permeability．