Acta Mechanica Solida Sinica

, Volume 26, Issue 1, pp 62–70

# 3-D Consolidation Analysis of Layered Soil with Anisotropic Permeability Using Analytical Layer-Element Method

• Zhiyong Ai
• Yichong Cheng
Article

## Abstract

Starting with governing equations of a saturated soil with anisotropic permeability and based on multiple integral transforms, an analytical layer-element equation is established explicitly in the Laplace-Fourier transformed domain. A global matrix of layered soil can be obtained by assembling a set of analytical layer-elements, which is further solved in the transformed domain by considering boundary conditions. The numerical inversion of Laplace-Fourier transform is employed to acquire the actual solution. Numerical analysis for 3-D consolidation with anisotropic permeability of a layered soil system is presented, and the influence of anisotropy of permeability on the consolidation behavior is discussed.

## Key words

analytical layer-element 3-D consolidation anisotropic permeability multiple integral transforms

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