Semianalytic Solution for Two-Dimensional Consolidation of Interbedded Soil

Abstract

To consider the influence of the interaction of each clayey layer in the interbedded soils of a foundation on the soil consolidation, a two-dimensional calculation model based on the overall analysis is proposed and the controlling equations of each layer are established. A semianalytic solution for the excess pore-water pressure in the frequency domain is derived by combining the Laplace transform with the Fourier cosine transform and introducing the boundary transformation method. The theoretical solution is compared with numerical simulations for verification, and the relevant parameters are also analyzed to further explore the consolidation characteristics of the foundation. The results show that the proposed theoretical solution can effectively reflect the distribution of excess pore-water pressure in each soil layer under the given foundation conditions; the deviation of the average degree of consolidation from the numerical results is less than 2.0%. When only one sandy layer is laid out in the foundation, it is most conducive to the consolidation to arrange the sandy layer in the middle-lower part of the soil layer. When the total thickness of the sandy layer is the same, the maximum consolidation rate that can be achieved by arranging two sandy layers in the lower part of the foundation is slightly faster than that achieved by arranging a single sandy layer. When the ratio of the horizontal permeability coefficient of the sand to the permeability coefficient of the adjacent clay is greater than or equal to 20, the excess pore-water pressure in the sandy layer can be considered to be evenly distributed along the vertical direction.