Plane strain deformation of a multi-layered poroelastic half-space by surface loads

Journal of Earth system science

Sarva Jit Singh1¹  Sunita Rani2² 

[1] Senior Scientist, INSA, Department of Mathematics, University of Delhi, South Campus, New Delhi 110 021, India.$$;Department of Mathematics, Guru Jambheshwar University, Hisar 125 001, India.$$

关键词: Multi-layered half-space;    plane strain;    poroelastic;    propagator matrix;    surface loads.;   

DOI  :  

学科分类：天文学(综合)

来源: Indian Academy of Sciences

【 摘 要 】

The Biot linearized quasi-static theory of fluid-infiltrated porous materials is used to formulate the problem of the two-dimensional plane strain deformation of a multi-layered poroelastic half-space by surface loads. The Fourier–Laplace transforms of the stresses, displacements, pore pressure and fluid flux in each homogeneous layer of the multi-layered half-space are expressed in terms of six arbitrary constants. Generalized Thomson–Haskell matrix method is used to obtain the deformation field. Simplified explicit expressions for the elements of the 6 × 6 propagator matrix for the poroelastic medium are obtained. As an example of the possible applications of the analytical formulation developed, formal solution is given for normal strip loading, normal line loading and shear line loading.

【 授权许可】

Unknown