Consolidation of a poroelastic half-space with anisotropic permeability and compressible constituents by axisymmetric surface loading

Journal of Earth system science

Sarva Jit Singh1¹  Raman Kumar2²  Sunita Rani2² 

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

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

DOI  :  

学科分类：天文学(综合)

来源: Indian Academy of Sciences

【 摘 要 】

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.

【 授权许可】

Unknown