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Plane strain consolidation of soil layer with anisotropic permeability

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Abstract

This paper presents an alternative analytical technique to study a plane strain consolidation of a poroelastic soil by taking into account the anisotropy of permeability. From the governing equations of a saturated poroelastic soil, the relationship of basic variables for a point of a soil layer is established between the ground surface (z = 0) and the depth z in the Laplace-Fourier transform domain. Combined with the boundary conditions, an exact solution is derived for plane strain Biot’s consolidation of a finite soil layer with anisotropic permeability in the transform domain. Numerical inversions of the Laplace transform and the Fourier transform are adopted to obtain the actual solution in the physical domain. Numerical results of plane strain Biot’s consolidation for a single soil layer show that the anisotropic of permeability has a great influence on the consolidation behavior of the soils.

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Authors and Affiliations

  1. Department of Geotechnical Engineering and Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Tongji University, Shanghai, 200092, P. R. China

    Zhi-yong Ai  (艾智勇) & Chao Wu  (吴超)

Authors
  1. Zhi-yong Ai  (艾智勇)
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  2. Chao Wu  (吴超)
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Corresponding author

Correspondence to Zhi-yong Ai  (艾智勇).

Additional information

Communicated by Xing-ming GUO

Project supported by the National Natural Science Foundation of China (No. 50578121)

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Ai, Zy., Wu, C. Plane strain consolidation of soil layer with anisotropic permeability. Appl. Math. Mech.-Engl. Ed. 30, 1437–1444 (2009). https://doi.org/10.1007/s10483-009-1109-7

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  • DOI: https://doi.org/10.1007/s10483-009-1109-7

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Chinese Library Classification

2000 Mathematics Subject Classification

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