The mechanical response of the saturated local inhomogeneous media under the cyclic loading has always been the rsearch difficulty in the soil dynamic field. How to describe the local structure of the inhomogeneous soil

weighting the influence of which on the macroscopic pore-pressure; all of them remain undetermined. In this paper

a model that can describe the influence of the local structures on the growth and dissipation of the pore pressure is established; basing on which

the analytical solution of the pore pressure is attained in the one-dimensional saturated soil layer bearing periodic load. Taking the relaxation time and the load frequency as variables

the influence trends of which on the pore pressure are analysed quantitatively; and the sensitive range of them are determined. Basing on the analysis

the relation curves between the relaxation time and load frequency are proposed when the pore pressure reaches maximum. All conclusions will contribute to the academic and engineering application in the research field of inhomogeneous media soil.