Abstract
Wave number discretization method is applied to study the near-field of seismic sources embedded in a cracked elastic solid. Near-field solutions are obtained for horizontal and vertical line forces. Effects of modifications in cracks of focal region on ground motion, in the near-field, are studied numerically for different
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▪ values of crack density
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▪ saturation of cracks
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▪ width of cracks, and
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▪ regimes of connection between cracks.
An earthquake process is assumed to be going through five major stages. These stages represent continuous accumulation of stress, interconnections between cracks leading to eventual failure and drainage of fluid from cracks after the major shock. Variations in the velocity ratio of waves noted from accelerograms verify the process of preparation of an earthquake.P wave contribution to vertical acceleration is negligible when the source is a vertical line force andS wave contributes only a little to horizontal acceleration when the source is a horizontal line force.
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References
Aggarwal Y P, Sykes L R, Armbruster J and Sbar M L 1973 Premonitory changes in seismic velocities and prediction of earthquakes;Nature (London) 241 101–104
Bouchon M and Aki K 1977 Discrete wave-number representation of seismic-source wave fields;Bull. Seism. Soc. Am. 67 259–277
Budiansky B and O’Connell R J 1976 Elastic moduli of dry and saturated cracked solids;Int. J. Solids Struct. 12 81–97
Bullen K E 1963 An Introduction to Theoretical Seismology. C.U.P.
Burridge R and Knopoff K 1964 Body force equivalents for seismic dislocations;Bull. Seism. Soc. Am. 54 1875–1888
Chatterjee A K, Knopoff M L and Hudson J A 1980 Attenuation of elastic waves in a cracked, fluid-saturated solid;Math. Proc. Camb. Philos. Soc. 88 547–561
Crampin S 1985 Evidence for aligned cracks in Earth’s crust;First Break 3 12–15
Crampin S 1987 The basis for earthquake prediction;Geophys. J. R. Astron. Soc. 91 331–347
Crampin S and Atkinson B K 1985 Microcracks in the Earth’s crust;First Break 3 16–20
Garvin H D and Knopoff L 1973 The compressional modulus of a material permeated by a random distribution of circular cracks;Q. Appl. Math. 30 453–464
Garvin H D and Knopoff L 1975a The shear modulus of a material permeated by a random distribution of free circular cracks;Q. Appl. Math. 33 296–300
Garvin H D and Knopoff L 1975b Elastic moduli of a medium with liquid filled cracks;Q. Appl. Math. 33 301–303
Hudson J A 1981 Wave speed and attenuation of elastic waves in material containing cracks;Geophys. J. R. Astron. Soc. 64 133–150
Hudson J A 1990a Overall elastic properties of isotropic materials with arbitrary distribution of circular cracks;Geophys. J. Int. 102 465–469
Hudson J A 1990b Attenuation due to second order scattering in materials containing cracks;Geophys. J. Int. 102 485–490
Nur A 1972 Dilatancy, pore fluids and premonitory variations oft s/tp, travel times;Bull. Seism. Soc. Am. 62 1217–1222
O’Connell R J and Budiansky B 1974 Seismic velocities in dry and saturated cracked solids;J. Geophys. Res. 79 5412–5426
O’Connell R J and Budiansky B 1977 Viscoelastic properties of fluid saturated cracked solids;J. Geophys. Res. 82 5719–5735
Peacock S and Hudson J A 1990 Seismic properties of rocks with distribution of small cracks;Geophys. J. Int. 102 471–485
Sharma M D 1996 Surface wave propagation in a cracked poroelastic half-space lying under a uniform layer of fluid;Geophys. J. Int. 127 31–39
Sharma M D and Gogna M L 1996 Discrete wave number representation of seismic source wave-fields in a fluid saturated porous media;Indian J. Pure Appl. Math. 27 913–929
Xu S and King M S 1990 Attenuation of elastic waves in a cracked solid;Geophys. J. Int. 101 169–180
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Sharma, M.D. Near-field ground motion during earthquake preparation process. Proc. Indian Acad. Sci. (Earth Planet Sci.) 106, 15–26 (1997). https://doi.org/10.1007/BF02841747
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DOI: https://doi.org/10.1007/BF02841747