This paper considers the vertical dynamic response of a disk on asaturated poroelastic half-space. Firstly the pressure-soliddisplacement form of the harmonic equations of motion for aporoelastic solid are developed from the form of the equationsoriginally presented by Biot. These equations are solved by a newmethod. Then the mixed boundary value problem for the verticalharmonic vibration of a disk on a poroelastic halfspace is studied.The two types of drainage conditions at the surface of theporoelastic halfspace are considered: (a) the surface of theporoelastic halfspace is assumed to be completely pervious bothwithin and exterior to the plate, (b) The interface between the plateand the poroelastic hallspace is assumed to be impervious and theexterior region is assumed to be pervious. By using the Hankeltransform techniques, the paper develops the governing dual integralequations. These governing integral equations are further reduced tosystems of standard Fredholm integral equations of the second kind byAbel transform.
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