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

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

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant No. 50578121). The authors would also like to express their gratitude to the editor and the reviewer for their valuable comments and suggestions for improvement of the manuscript.

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2014 Higher Education Press and Springer-Verlag Berlin Heidelberg