Abstract
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.
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References
Ben-Menahem A and Gillon A 1970 Crustal deformation by earthquakes and explosions;Bull. Seism. Soc. Am. 60 193–215
Bonafede M and Rivalta E 1999a The tensile dislocation problem in a layered elastic medium;Geophys. J. Int. 136 341–356
Bonafede M and Rivalta E 1999b On tensile cracks close to and across the interface between two welded elastic halfspaces;Geophys. J. Int. 138 410–434
Cohen S C 1980 Postseismic viscoclastic surface deformation and stress 1. Theoretical considerations, displacement and strain calculations;J. Geophys. Res. 85 3131–3150
Ma X Q and Kusznir N J 1995 Coseismic and postseismic surface displacements and strains for dip-slip normal fault in a three-layer elastic-gravitational medium;J. Geophys. Res. 100 12813–12828
Rundle J B 1981 Vertical displacements from a rectangular fault in layered elastic-gravitational media;J. Phys. Earth 29 173–186
Savage J C 1998 Displacement field for an edge dislocation in a layered half-space;J. Geophys. Res. 103 2439–2446
Singh S J and Garg N R 1986 On the representation of two-dimensional seismic sources;Acta. Geophys. Pol. 34 1–12
Singh S J, Punia M and Kumari G 1997 Deformation of a layered half-space due to a very long dip-slip fault;Proc. Indian Natl. Sci. Acad. 63a 225–240
Singh S J and Rani S 1991 Static deformation due to two-dimensional seismic sources embedded in an isotropic half-space in welded contact with an orthotropic half-space;J. Phys. Earth 39 599–618
Sneddon I N 1951Fourier Transforms (New York: McGraw-Hill)
Sokolnikoff I S 1956Mathematical Theory of Elasticity (New York: McGraw-Hill)
Wang R, Martin F L and Roth F 2003 Computation of deformation induced by earthquakes in a multilayered elastic crust-FORTR AN programs EDGRN/EDCMP;Computer and Geosciences 29 195–207
Weeks R, Dundurs J and Stippes M 1968 Exact analysis of an edge dislocation near a surface layer;Int. J. Eng. Sci. 6 365–372
Wolfram S 1991Mathematica, 2sund ed. (Reading, Mass.: Addison-Wesley).
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Singh, S.J., Singh, M. Deformation of a layered half-space due to a very long tensile fault. J Earth Syst Sci 113, 235–246 (2004). https://doi.org/10.1007/BF02709790
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DOI: https://doi.org/10.1007/BF02709790