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Anisotropic permeability; compressible constituents; poroelastic half-space; quasi-static deformation; surface loading.

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 com-pressibilities 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.

Sarva Jit Singh¹ Raman Kumar² Sunita Rani²

1. Department of Mathematics, University of Delhi, South Campus, New Delhi 110 021, India.
2. Department of Mathematics, Guru Jambheshwar University of Science and Technology, Hisar 125 001, India.

Manuscript received

16 February 2009

Manuscript revised

12 May 2009

Accepted

6 June 2009