An analytical solution of the plane strain problem of the deformation of a homogeneous, isotropic, poroelastic layer of uniform thickness overlying a homogeneous, isotropic, elastic half-space due to twodimensional seismic sources buried in the elastic half-space has been obtained. The integral expressions for the displacements, stresses and pore pressure have been obtained using the stress function approach by applying suitable boundary conditions at the free surface and the interface. The solution obtained is in the Laplace-Fourier transform domain. The case of a vertical dip-slip line dislocation for the oceanic crust model of Earth is studied in detail. Schapery's formula is used for the Laplace inversion and the extended Simpson's formula for the Fourier inversion. Diffusion of pore pressure in the layer is studied numerically. Contour maps showing the pore pressure in the poroelastic layer have been plotted. The effect of the compressibility of the solid and fluid constituents on pore pressure has also been studied.A homogeneous, isotropic, elastic medium can be characterized by two elastic parameters: shear modulus (G′) and Poisson's ratio (υ′). The plane strain problem for an isotropic elastic medium can be solved in terms of the Airy stress function ϕ such that 394 Figure 2. Effect of the compressibility of pore fluid of the poroelastic layer on the diffusion of interfacial pore pressure with time T for the oceanic crust model of Earth (G′/G = 1.76) for (a) x = H/10, (b) x = H/2 and (c) x = H.Figure 3. Effect of the compressibility of the solid skeleton on the diffusion of the interfacial pore pressure P with time T for the oceanic crust model of Earth for (a) x = H/10, (b) x = H/2 and (c) x = H. 22. Maruyama T. On two-dimensional elastic dislocations in an infinite and semi-infinite medium.

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