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Quasi-static deformation due to two-dimensional seismic sources embedded in an elastic half-space in welded contact with a poroelastic half-space

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Abstract

The Biot linearized theory of fluid saturated porous materials is used to study the plane strain deformation of a two-phase medium consisting of a homogeneous, isotropic, poroelastic half-space in welded contact with a homogeneous, isotropic, perfectly elastic half-space caused by a two-dimensional source in the elastic half-space. The integral expressions for the displacements and stresses in the two half-spaces in welded contact are obtained from the corresponding expressions for an unbounded elastic medium by applying suitable boundary conditions at the interface. The case of a long dip-slip fault is discussed in detail. The integrals for this source are solved analytically for two limiting cases: (i) undrained conditions in the high frequency limit, and (ii) steady state drained conditions as the frequency approaches zero. It has been verified that the solution for the drained case (ω → 0) coincides with the known elastic solution. The drained and undrained displacements and stresses are compared graphically. Diffusion of the pore pressure with time is also studied.

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Authors and Affiliations

  1. Department of Mathematics, Guru Jambheshwar University, Hisar, 125 001, India

    Sunita Rani

  2. INSA Senior Scientist, Department of Mathematics, University of Delhi, South Campus, New Delhi, 110 021, India

    Sarva Jit Singh

Authors
  1. Sunita Rani
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  2. Sarva Jit Singh
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Rani, S., Singh, S.J. Quasi-static deformation due to two-dimensional seismic sources embedded in an elastic half-space in welded contact with a poroelastic half-space. J Earth Syst Sci 116, 99–111 (2007). https://doi.org/10.1007/s12040-007-0010-x

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  • DOI: https://doi.org/10.1007/s12040-007-0010-x

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