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

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    • Keywords


      Multi-layered half-space; place strain; poroelastic; propagator matrix; surface loads

    • Abstract


      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.

    • Author Affiliations


      Sarva Jit Singh1 Sunita Rani2

      1. Senior Scientist, INSA, Department of Mathematics, University of Delhi, South Campus, New Delhi - 110 021, India
      2. Department of Mathematics, Guru Jambheshwar University, Hisar - 125 001, India
    • Dates

  • Journal of Earth System Science | News

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