Consolidation of multilayered half space with anisotropic permeability and compressible constituents

Abstract

This paper presents analytical solutions of consolidation for poroelastic and multilayered half space, and anisotropy of the permeability and the compressibility of the pore fluid are considered. State vector method together with Laplace–Hankel transform techniques are used to solve the basic governing equations, and obtain the transfer matrix in a clearly arranged way. Forward and backward transfer matrix techniques are utilized in the analytical formulation of solutions for the multilayered half space. A numerical inversion scheme of Crump's method is adopted to obtain time-domain solution. Numerical results are presented for a single homogeneous soil layer and a multilayered half space, and they illustrate the influences of the anisotropy of permeability and the compressibility of the pore fluid on the consolidation of the soils.