在考虑半对数应力应变关系的基础上，引入非牛顿指数描述的非达西渗流模型，建立一维固结方程，采用有限差分法求其数值解，并与Terzaghi解答和Davis解答对比验证数值方法的有效性。据此，分析土体应力应变非线性和渗流的非达西特性对饱和粘土一维固结的影响。结果表明，非牛顿指数i0越大，土层厚度与地基平均竖向总应力的等效水头的比值越大，固结速率越低；地面荷载越大，孔压消散速率和地基沉降速率都越快，按沉降定义的固结度要略大于按孔压定义的固结度；压缩指数与渗透指数的比值越大，固结速率越慢；初始有效应力越大，固结速率越快。%Considering Davis’s semilog stress-strain relationship,we introducce non Newtonian index to describe non-darcy seepage flow model,and derive the one-dimensional consolidation equation. And its numerical solution analysis is performed by using the finite difference method. In order to verify the effectiveness of the numerical method,the calculating solution by the present method is compared with the analytical solution based on the nonlinear consolidation theory proposed by Davis and Raymond. Accordingly,the effect of stress and strain nonlinearity of soil and seepage non-Darcy characteristics on one-dimensional consolidation of saturated clay is analyzed. The results show that the greater the non-Newtonian index i0 is,the greater the equivalent head ration of soil layer thickness and the foundation of the total average vertical stress would be,and the consolidation rate is lower is. The greater the ground load is,the greater the pore pressure dissipation rate and ground subsidence rate would be. The definition of degree of consolidation by settlement is slightly greater than the definition of degree of consolidation by pore water pressure. The greater the ratio of compression and penetration index is ,the slower the consolidation speed would be. The greater the initial effective stress is,the faster the consolidation speed would be.
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