Abstract
An analytical solution is presented for the response of a non-homogeneous saturated poroelastic half-space under the action of a time-harmonic verti- cal point load on its surface. The shear modulus is as- sumed to increase continuously with depth and also the media is considered to obey Biot's poroelastic theory. The system of governing partial differential equations, based on the mentioned assumptions, is converted to or- dinary differential equations' system by means of Han- kel integral transforms. Then the system of equations is solved by use of generalized power series(Frobenius method) and the expressions for displacements in the interior of the media or in the other words, the Green functions for the media are derived by avoiding to intro- duction of any potential functions. Selected numerical results are presented to demonstrate the effect of depth non-homogeneity on dynamic response of the media. keyword: Boundary element method, Green function, Depth non-homogeneity , Saturated media, Soil-structure interaction.
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