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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| Authors: | Sunita Rani Sarva Jit Singh |
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| Institution: | (1) Department of Mathematics, Guru Jambheshwar University, Hisar, 125 001, India;(2) INSA Senior Scientist, Department of Mathematics, University of Delhi, South Campus, New Delhi, 110 021, India |
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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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| Keywords: | Dip-slip fault plane strain poroelastic seismic source welded half-spaces |
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