A　new　mathematical　model　of　a　floating　pile　embedded　in　a　viscoelastic　saturated　soil　for　low-strain　integrity　detection　is　proposed　using　the　theory　of　porous　media.　The　saturated　surrounding　soil　is　divided　into　Novak＇s　thin　layers　along　the　pile　length　and　a　homogeneous　half-space　underlying　the　pile　base　to　consider　the　effect　of　excitation　frequency　on　the　dynamic　stiffness　of　the　soil　beneath　the　pile　base.　And　the　corresponding　analytical　solutions　for　the　dynamic　impedance　and　the　reflected　wave　signal　of　vertical　velocity　at　the　pile　head　are　derived　and　verified　by　comparing　its　reduced　solution　with　the　existing　solutions　for　the　end-bearing　pile.　In　addition,　an　extensive　parametric　analysis　is　further　conducted　to　investigate　the　effects　of　the　slenderness　ratio　of　pile,　the　modulus　ratio　of　pile　to　the　surrounding　soil,　and　the　permeability　coefficient　of　saturated　soil　on　the　vertical　vibration　characteristics　of　the　pile-soil　interaction　system.