• Mahabir Singh

      Articles written in Journal of Earth System Science

    • A note on the assumptions made while computing the postseismic lithospheric deformation

      Sarva Jit Singh Mahabir Singh Kuldip Singh

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      The postseismic lithospheric deformation is usually explained as viscoelastic relaxation of the coseismic stresses. In general, for computing the postseismic deformation, the shear modulus (μ) is relaxed, keeping either the bulk modulus (k) or the La’me parameter (A) fixed. It is shown that the two assumptions yield significantly different results. The assumptionk = const. implies that the medium behaves like an elastic body for dilatational changes which can be justified on physical grounds, but such a justification cannot be given in the case of the assumption λ = const.

    • A note on the relationship between dip-slip fault parameters and plate parameters in the two-dimensional modelling of preseismic deformation

      Sarva Jit Singh Mahabir Singh

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      Preseismic lithospheric deformation at a subduction zone can be modelled as dip-slip dislocation on an inclined fault or as flexure of a thin plate. Both these models predict a region of positive topography known as forebulge or outer rise. By matching the location and the magnitude of the forebulge, we derive useful relations between the dip-slip fault parameters and the plate parameters. In particular, we determine the width of a long dip-slip fault of given dip corresponding to a semi-infinite plate of given thickness. The displacement profiles of the two models are also compared.

    • Deformation of a layered half-space due to a very long tensile fault

      Sarva Jit Singh Mahabir Singh

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      The problem of the coseismic deformation of an earth model consisting of an elastic layer of uniform thickness overlying an elastic half-space due to a very long tensile fault in the layer is solved analytically. Integral expressions for the surface displacements are obtained for a vertical tensile fault and a horizontal tensile fault. The integrals involved are evaluated approximately by using Sneddon’s method of replacing the integrand by a finite sum of exponential terms. Detailed numerical results showing the variation of the displacements with epicentral distance for various source locations in the layer are presented graphically. The displacement field in the layered half-space is compared with the corresponding field in a uniform half-space to demonstrate the effect of the internal boundary. Relaxed rigidity method is used for computing the postseismic deformation of an earth model consisting of an elastic layer of uniform thickness overlying a viscoelastic half-space.

    • Static elastic deformation in an orthotropic half-space with rigid boundary model due to non-uniform long strike slip fault

      Yogita Godara Ravinder Kumar Sahrawat Mahabir Singh

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      The solution of static elastic deformation of a homogeneous, orthotropic elastic uniform half-space with rigid boundary due to a non-uniform slip along a vertical strike-slip fault of infinite length and finite width has been studied. The results obtained here are the generalisation of the results for an isotropic medium having rigid boundary in the sense that medium of the present work is orthotropic with rigid boundary which is more realistic than isotropic and the results for an isotropic case can be derived from our results. The variations of displacement with distance from the fault due to various slip profiles have been studied to examine the effect of anisotropy on the deformation. Numerically it has been found that for parabolic slip profile, the displacement in magnitude for isotropic elastic medium is greater than that for an orthotropic elastic half-space, but, in case of linear slip, the displacements in magnitude for an orthotropic medium is greater than that for the isotropic medium.

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