Abstract

The porosity, shear modulus, and dynamic permeability coefficient of saturated inhomogeneous soil changes continuously with soil depth and is described according to the power function. The governing equation of two-dimensional dynamic was established based on the theory of Biot saturated porous media to solve the governing equation by Fourier series and obtain the displacement of each point steady-state response and series solution of pore fluid pressure in the soil layer when the medium parameters of gradient saturated soil changes according to power function. By performing numerical experiments, the influence laws of non-uniform gradient factor of soil porosity, shear modulus, and dynamic permeability coefficient on the soil dynamic response was analyzed. The results showed that the heterogeneity of soil porosity had the least influence on dynamic response, while the dynamic permeability coefficient had great influence on the dynamic property of soil mass, and the shear modulus had the most significant influence.

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