journal article Mar 01, 1992

Scattering of elastic waves by a fracture zone containing randomly distributed cracks

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References
36
[1]
Achenbach, J. D.,Wave Propagation in Elastic Solids, (North-Holland, Amsterdam 1973).
[2]
Aki, K. (1980),Scattering and Attenuation of Shear Waves in the Lithosphere, J. Geophys. Res.85, 6496–6504. 10.1029/jb085ib11p06496
[3]
Aki, K. (1981),Scattering and Attenuation of High-frequency Body Waves (1–25 Hz) in the Lithosphere, Phys. Earth Planet. Inter.26, 241–243. 10.1016/0031-9201(81)90026-1
[4]
Aki, K., andRichards, P. G.,Quantitative Seismology (W. H. Freeman and Company, San Francisco 1980).
[5]
Cormier, V. F., andBeroza, G. C. (1987),Calculation of Strong Ground Motion due to an Extended Earthquake Source in a Laterally Varying Structure, Bull. Seismol. Soc. Am.77, 1–13.
[6]
Foldy, L. L. (1945),The Multiple Scattering of Waves. I. General Theory of Isotropic Scattering by Randomly Distributed Scatterers, Phys. Rev.67, 107–119. 10.1103/physrev.67.107
[7]
Hudson, J. A. (1980),Overall Properties of a Cracked Solid, Math. Proc. Camb. Phil. Soc.88, 371–384. 10.1017/s0305004100057674
[8]
Hudson, J. A. (1981),Wave Speeds and Attenuation of Elastic Waves in Material Containing Cracks, Geophys. J. R. Astr. Soc.64, 133–150. 10.1111/j.1365-246x.1981.tb02662.x
[9]
Ishimaru, A.,Wave Propagation and Scattering in Random Media (Academic Press, New York 1978).
[10]
Kawahara, J., andYamashita, T. (1992),Multiple Scattering of SH Waves by Random Distribution of Aligned Cracks, in preparation. 10.4294/jpe1952.40.517
[11]
Keller, J. B. (1964),Stochastic Equations and Wave Propagation in Random Media, Proc. Symp. Appl. Math.16, 145–170. 10.1090/psapm/016/0178638
[12]
Keogh, P. S. (1985),High-frequency Scattering by a Griffith Crack II: Incident Plane and Cylindrical Waves, Q. J. Mech. Appl. Math.38, 205–232. 10.1093/qjmam/38.2.205
[13]
Keogh, P. S. (1986),High-frequency Scattering of a Normally Incident Plane Compressional Wave by a Penny-shaped Crack, Q. J. Mech. Appl. Math.39, 535–566. 10.1093/qjmam/39.4.535
[14]
Kikuchi, M. (1981a),Dispersion and Attenuation of Elastic Waves due to Multiple Scattering from Inclusions, Phys. Earth Planet. Inter.25, 159–162. 10.1016/0031-9201(81)90148-5
[15]
Kikuchi, M. (1981b),Dispersion and Attenuation of Elastic Waves due to Multiple Scattering from Cracks, Phys. Earth Planet. Inter.27, 100–105. 10.1016/0031-9201(81)90037-6
[16]
Lay, T., Kanamori, H., andRuff, L. (1982),The Asperity Model and the Nature of Large Subduction Zone Earthquakes, Earthq. Pred. Res.1, 3–71.
[17]
Loeber, J. F., andSih, G. C. (1968),Diffraction of Antiplane Shear Waves by a Finite Crack, J. Acoust. Soc. Am.44, 90–98. 10.1121/1.1911091
[18]
Mal, A. K. (1970a),Interaction of Elastic Waves with a Penny-shaped Crack, Int. J. Engng Sci.8, 381–388. 10.1016/0020-7225(70)90075-3
[19]
Mal, A. K. (1970b),Interaction of Elastic Waves with a Griffith Crack, Int. J. Engng Sci.8, 763–776. 10.1016/0020-7225(70)90003-0
[20]
Malin, P. E., Waller, J. A., Borcherdt, R. D., Cranswick, E., Jensen, E. G., andVan Schaack, J. (1988),Vertical Seismic Profiling of Oroville Microearthquakes: Velocity Spectra and Particle Motion as a Function of Depth, Bull. Seismol. Soc. Am.78, 401–420.
[21]
Martin, P. A., andWickham, G. R. (1983),Diffraction of Elastic Waves by a Penny-shaped Crack: Analytic and Numerical Results, Proc. R. Soc. Lond. A390, 91–129. 10.1098/rspa.1983.0124
[22]
Matsunami, K. (1988),Laboratory Measurements of Elastic Wave Attenuation by Scattering due to Random Heterogeneities, Bull. Disas. Prev. Res. Inst. Kyoto Univ.38, 1–16.
[23]
Morse, P. M., andFeshbach, H.,Methods of Theoretical Physics, (McGraw-Hill, New York 1953).
[24]
Nishizawa, O. (1982),Seismic Velocity Anisotropy in a Medium Containing Oriented Cracks—Transversely Isotropic Case, J. Phys. Earth30, 331–347. 10.4294/jpe1952.30.331
[25]
O'Connell, R. J., andBudiansky, B. (1977),Viscoelastic Properties of Fluid-saturated Cracked Solids, J. Geophys. Res.82, 5719–5735. 10.1029/jb082i036p05719
[26]
Sato, H. (1990),Unified Approach to Amplitude Attenuation and Coda Excitation in the Randomly Inhomogeneous Lithosphere, Pure and Appl. Geophys.132, 93–121. 10.1007/bf00874359
[27]
Sih, G. C., andLoeber, J. F. (1969a),Wave Propagation in an Elastic Solid with a Line of Discontinuity or Finite Crack, Quart. Appl. Math.27, 193–213. 10.1090/qam/99830
[28]
Sih, G. C., andLoeber, J. F. (1969b),Normal Compression and Radial Shear Waves Scattering at a Penny-shaped Crack in an Elastic Solid, J. Acoust. Soc. Am.46, 711–721. 10.1121/1.1911752
[29]
Takeshita, T., andKarato, S. (1989),Anisotropy in the Earth Formed by Plastic Flow in Rocks, Zisin42, 255–269 (in Japanese). 10.4294/zisin1948.42.2_255
[30]
Tan, T. H. (1977),Scattering of Plane, Elastic Waves by a Plane Crack of Finite Width, Appl. Sci. Res.33, 75–88. 10.1007/bf00383193
[31]
Van der Hijden, J. H. M. T., andNeerhoff, F. L. (1984),Scattering of Elastic Waves by a Plane Crack of Finite Width, J. Appl. Mech.51, 646–651. 10.1115/1.3167687
[32]
Weaver, R. L., andPao, Y. H. (1979),Application of the Transition Matrix to a Ribbon-shaped Scatterer, J. Acoust. Soc. Am.66, 1199–1206. 10.1121/1.383315
[33]
Wickham, G. R. (1981),The Diffraction of Stress Waves by a Plane Finite Crack in Two Dimensions: Uniqueness and Existence, Proc. R. Soc. Lond. A378, 241–261. 10.1098/rspa.1981.0150
[34]
Yamashita, T. (1990),Attenuation and Dispersion of SH Waves due to Scattering by Randomly Distributed Cracks, Pure and Appl. Geophys.132, 545–568. 10.1007/bf00876929
[35]
Yamashita, T., andKnopoff, L. (1989),A Model of Foreshock Occurrence, Geophys. J.96, 389–399. 10.1111/j.1365-246x.1989.tb06003.x
[36]
Yamashita, T., andKnopoff, L. (1992),Model for Intermediate-term Precursory Clustering of Earthquakes, J. Geophys. Res., in press. 10.1029/92jb01216
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Published
Mar 01, 1992
Vol/Issue
139(1)
Pages
121-144
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Jun Kawahara, Teruo Yamashita (1992). Scattering of elastic waves by a fracture zone containing randomly distributed cracks. Pure and Applied Geophysics, 139(1), 121-144. https://doi.org/10.1007/bf00876828