Abstract
Closed form analytical expressions of stresses and displacements at any field point due to a very long dip-slip fault of finite width buried in a homogeneous, isotropic elastic half-space, are presented. Airy stress function is used to derive the expressions of stresses and displacements which depend on the dip angle and depth of the upper edge of the fault. The effect of dip angle and depth of the upper edge of the fault on stresses and displacements is studied numerically and the results obtained are presented graphically. Contour maps for stresses and displacements are also presented. The results of Rani and Singh (1992b) and Freund and Barnett (1976) have been reproduced.
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References
Cohen S C 1992 Postseismic deformation and stress diffusion due to visco-elasticity and comments on the modified Elsasser model;J. Geophys. Res. 97 15395–15403
Cohen S C 1996 Convenient formulas for determining dipslip fault parameters from geophysical observables;Bull. Seis. Soc. Am. 86 1642–1644
Freund L B and Barnett D M 1976 A two dimensional analysis of surface deformation due to dip-slip faulting;Bull. Seis. Soc. Am. 66 667–675
Maruyama T 1964 Statical elastic dislocations in an infinite and semi-infinite medium;Bull. Earthq. Res. Inst. 42 289–368
Maruyama T 1966 On two dimensional elastic dislocations in an infinite and semi-infinite medium;Bull. Earthq. Res. Inst. 44 811–871
Okada Y 1985 Surface deformation due to shear and tensile faults in a half-space;Bull. Seis. Soc. Am. 75 1135–1154
Okada Y 1992 Internal deformation due to shear and tensile faults in a half-space;Bull. Seis. Soc. Am. 82 1018–1040
Rani S, Singh S J and Garg N R 1991 Displacements and stresses at any point of a uniform half-space due to twodimensional buried sources;Phys. Earth. Planet Inter. 65 276–282
Rani S and Singh S J 1992a Static deformation of two welded half-spaces due to dip-slip faulting;Proc. Indian Acad. Sci. (Earth Planet. Sci.) 101 (3) 269–282
Rani S and Singh S J 1992b Static deformation of a uniform half-space due to a long dip-slip fault;Geophys. J. Int. 109 469–476
Rybicki K 1986 Dislocations and their geophysical applications. In:Continuum Theories in Solid Earth Physics, (ed) Tiesseyre R (Amsterdam: Elsevier) pp 18–186
Savage J C 1974 Dislocations in seismology. In:Dislocation theory: A treatise, (ed) F R N Nabarro (New York: Marcel Dekker)
Savage J C 1980 Dislocations in seismology. In:Dislocations in Solids, Vol.3, Moving Dislocations, (ed) FRN Nabarro (Amsterdam: North-Holland) pp 251–339
Singh S J and Rani S 1993 Crustal deformation associated with two dimensional thrust faulting;J. Phys. Earth 41 87–101
Singh S J, Punia M and Rani S 1994 Crustal deformation due to non-uniform slip along a long fault;Geophys. J. Int. 118 411–427
Singh S J and Rani S 1996 2-D modeling of crustal deformation associated with strike-slip and dip-slip faulting in the Earth;Proc. Nat. Acad. Scs. (India) LXVI 187–215
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 Nat. Sci. Acad. 63A 225–240
Singh S J, Rani S and Garg N R 1992 Displacements and stresses in two welded half-spaces due to two-dimensional sources;Phys. Earth. Planet. Int. 70 90–101
Singh M and Singh S J 2000 Static deformation of a uniform half-space due to a very long tensile fault;ISET J. Earthq. Tech. 37(1–3) 27–38
Singh S J, Kumar A, Rani S and Singh M 2002 Deformation of a uniform half-space due to a long inclined tensile fault;Geophys. J. Int. 151 957
Sokolnikoff I S 1956Mathematical Theory of Elasticity (New York: McGraw-Hill)
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Tomar, S.K., Dhiman, N.K. 2-D deformation analysis of a half-space due to a long dip-slip fault at finite depth. J Earth Syst Sci 112, 587–596 (2003). https://doi.org/10.1007/BF02709782
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DOI: https://doi.org/10.1007/BF02709782