To further investigate the one-dimensional (1D) rheological consolidation mechanism of double-layered soil, the fractional derivative Merchant model (FDMM) and the non-Darcian flow model with the non-Newtonian index are respectively introduced to describe the deformation of viscoelastic soil and the flow of pore water in the process of consolidation. Accordingly, an 1D rheological consolidation equation of double-layered soil is obtained, and its numerical analysis is performed by the implicit finite difference method. In order to verify its validity, the numerical solutions by the present method for some simplified cases are compared with the results in the related literature. Then, the influence of the revelent parameters on the rheological consolidation of double-layered soil are investigated. Numerical results indicate that the parameters of non-Darcian flow and FDMM of the first soil layer greatly influence the consolidation rate of double-layered soil. As the decrease of relative compressibility or the increase of relative permeability between the lower soil and the upper soil, the dissipation rate of excess pore water pressure and the settlement rate of the ground will be accelerated. Increasing the relative thickness of soil layer with high permeability or low compressibility will also accelerate the consolidation rate of double-layered soil.

为了进一步研究双层土的一维（1D）流变固结机理，分别引入了分数导数Merchant模型（FDMM）和非牛顿指数的非Darcian流动模型来描述粘弹性土的变形。以及固结过程中孔隙水的流动。据此，获得了双层土的一维流变固结方程，并通过隐式有限差分法对其进行了数值分析。为了验证其有效性，将本方法针对某些简化情况的数值解与相关文献中的结果进行了比较。然后，研究了相关参数对双层土流变固结的影响。数值结果表明，第一层土层的非达西渗流参数和FDMM对双层土的固结速率有很大的影响。随着下层土壤和上层土壤之间相对压缩率的降低或相对渗透率的增加，多余孔隙水压力的消散速度和地面沉降速度将加快。增加具有高渗透性或低可压缩性的土层的相对厚度也将加快双层土的固结速度。加快了超孔隙水压力的消散速度和地面沉降速度。增加具有高渗透性或低可压缩性的土层的相对厚度也将加快双层土的固结速度。加快了超孔隙水压力的消散速度和地面沉降速度。增加具有高渗透性或低可压缩性的土层的相对厚度也将加快双层土的固结速度。