In　the　dynamic　problems　of　the　fluid-saturated　porous　media,　depending　the　coupling　between　the　solid　and　fluid　phases,　the　permeability　is　the　primary　parameter　for　the　wave　propagation　properties　in　saturated　soil.　In　the　case　of　finite,　zero　and　infinite　permeability,　based　on　the　u-w-p　formulation,　the　wave　equations　of　P1,　P2　and　S　waves　and　their　velocities　are　gotten,　respectively.　Furthermore,　the　potential　function　solutions　of　the　three　wave　equations　are　constructed.　And　the　actual　velocities　and　attenuation　coefficients　are　obtained　based　on　the　physical　significance　of　the　solutions.　Finally,　the　relation　of　velocities　and　the　attenuation　characteristic　and　four　parameters,　such　as　permeability,　frequency,　porous　and　compressibility　of　the　solid　phase,　are　discussed　in　detail.　©　2017,　Science　Press.　All　right　reserved.