Consolidation of a poroelastic half-space with anisotropic permeability and compressible constituents by axisymmetric surface loading |
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| Authors: | Sarva Jit Singh Raman Kumar Sunita Rani |
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| Institution: | (1) Department of Mathematics, Guru Jambheshwar University, Hisar, 125 001, India;(2) INSA Senior Scientist, Department of Mathematics, University of Delhi, South Campus, New Delhi, 110 021, India |
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| Abstract: | The fully coupled Biot quasi-static theory of linear poroelasticity is used to study the consolidation of a poroelastic half-space
caused by axisymmetric surface loads. The fluid and solid constituents of the poroelastic medium are compressible and its
permeability in the vertical direction is different from its permeability in the horizontal direction. An analytical solution
of the governing equations is obtained by taking the displacements and the pore pressure as the basic state variables and
using a combination of the Laplace and Hankel transforms. The problem of an axisymmetric normal load is discussed in detail.
An explicit analytical solution is obtained for normal disc loading. Detailed numerical computations reveal that the anisotropy
in permeability as well as the compressibilities of the fluid and solid constituents of the poroelastic medium have significant
effects on the consolidation of the half-space. The anisotropy in permeability may accelerate the consolidation process and
may lead to a dilution in the theoretical prediction of the Mandel-Cryer effect. The compressibility of the solid constituents
may also accelerate the consolidation process. |
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