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.

饱和非均质土壤的孔隙度，剪切模量和动态渗透系数随土壤深度而连续变化，并根据幂函数进行描述。基于Biot饱和多孔介质理论建立了二维动力控制方程，通过傅里叶级数求解该控制方程，得到了各点稳态响应的位移和土层中孔隙水压力的级数解。梯度饱和土的介质参数根据幂函数而变化。通过数值试验，分析了土壤孔隙度非均匀梯度因子，剪切模量和动态渗透系数对土壤动力响应的影响规律。