Uncoupled state space solution to layered poroelastic medium with anisotropic permeability and compressible pore fluid

doi:10.1007/s11709-011-0103-0

Front Arch Civil Eng Chin

2011, Vol. 5

Issue (2) : 171-179 https://doi.org/10.1007/s11709-011-0103-0

RESEARCH ARTICLE

Uncoupled state space solution to layered poroelastic medium with anisotropic permeability and compressible pore fluid

Zhiyong AI(

), Wenze ZENG, Yichong CHENG, Chao WU

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

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Abstract

This paper presents an uncoupled state space solution to three-dimensional consolidation of layered poroelastic medium with anisotropic permeability and compressible pore fluid. Starting from the basic equations of poroelastic medium, and introducing intermediate variables, the state space equation usually comprising eight coupled state vectors is uncoupled into two sets of equations of six and two state vectors in the Laplace-Fourier transform domain. Combined with the continuity conditions between adjacent layers and boundary conditions, the uncoupled state space solution of a layered poroelastic medium is obtained by using the transfer matrix method. Numerical results show that the anisotropy of permeability and the compressibility of pore fluid have remarkable influence on the consolidation behavior of poroelastic medium.

Keywords uncoupled state space solution layered poroelastic medium three-dimensional consolidation anisotropic permeability compressible pore fluid

Corresponding Author(s): AI Zhiyong,Email:zhiyongai@tongji.edu.cn

Issue Date: 05 June 2011

Cite this article:

Zhiyong AI,Wenze ZENG,Yichong CHENG, et al. Uncoupled state space solution to layered poroelastic medium with anisotropic permeability and compressible pore fluid[J]. Front Arch Civil Eng Chin, 2011, 5(2): 171-179.

URL:

https://academic.hep.com.cn/fsce/EN/10.1007/s11709-011-0103-0
https://academic.hep.com.cn/fsce/EN/Y2011/V5/I2/171

Fig.1 Layered poroelastic medium with anisotropic permeability and compressible pore fluid under an arbitrary load

Fig.2 Comparison of surface displacement for a two-layered poroelastic medium

Fig.3 Influence of anisotropic permeability parameter on surface displacement for a single poroelastic layer

Fig.4 Influence of anisotropic permeability parameter on excess pore water pressure for a single poroelastic layer

Fig.5 Influence of compressibility parameter on surface displacement for a single poroelastic layer

Fig.6 Influence of compressibility parameter on excess pore water pressure for a single poroelastic layer

Fig.7 Variation of surface settlement for a five-layered poroelastic medium

Fig.8 Variation of excess pore water pressure along depth at time factor for a five-layered poroelastic medium

Fig.9 Variation of excess pore water pressure along depth at time factor for a five-layered poroelastic medium

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