Abstract
The aim of this study is to demonstrate how the 12 October 1992 Cairo earthquake relates to the spatial geometry of the northern Egyptian fault systems. A box-counting algorithm was used, in a focused down approach (from regional to local scales) to analyze the fractal dimensions of the existing faults. The results indicate that these faults display fractal geometries that are self-similar over two to three orders of magnitude. It is shown that the northwest-southeast (Northern Red Sea) trending fault system has the lowest fractal dimension value. Coincidentally, this fault trend is the one that the fault plane solution shows to be active.
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References
Ambraseys, N. N.: 1983, Earthquake damage in the Arab region, in K. Cidinsky and B. M. Rouhban (eds.),Assessment and Mitigation of Earthquake Risk in the Arab Region, UNESCO, Paris, pp. 11–23.
Aviles, C. A., Scholz, C. H., and Boatwright, J.: 1987, Fractal analysis applied to characteristic segments of the San Andreas fault,J. Geophys. Res. 92, 331–334.
Chelidze, T. and Gueguen, Y.: 1990, Evidence of fractal fracture,Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 27, 223–225.
Geological Survey of Egypt: 1983,Geological Map of Greater Cairo Area, 1:100 000-scale, Cairo.
Gutenberg, B. and Richter, C. F.: 1954,Seismicity of the Earth and Associated Phenomenon, Princeton University Press, Princeton, New Jersey.
Hirata, T.: 1989, Fractal dimension of fault systems in Japan: Fractal structure in rock fracture geometry at various scales,Pageoph., Pure Appl. Geophys. 131, 157–170.
Kebeasy, R. M.: 1990, Seismicity, in R. Said (ed.),The Geology of Egypt, Balkema, Rotterdam, pp. 51–59.
Korvin, G.: 1989, Fractured but not fractal: Fragmentation of the Gulf of Suez basement,Pageoph. 131, 289–305.
Mamoun, K.: 1979, Macroseismic observations of principal earthquakes in Egypt, Bull. Helwan Inst. Astronom. Geophys. 183, 12pp.
Mamoun, K. and El-Khashab, H. M.: 1978, Seismic studies of the Shadwan (Red Sea) earthquake,Bull. Helwan Inst. Astronom. Geophys. 184, 12pp.
Mandelbrot, B. B.: 1982,The Fractal Geometry of Nature, Freeman, New York.
Matsumoto, N., Yomogida, K., and Honda, S.: 1992, Fractal analysis of fault systems in Japan and the Philippines,Geophys. Res. Letts. 19, 357–360.
Meshref, W. M.: 1990, Tectonic framework, in R. Said (ed.),The Geology of Egypt, Balkema, Rotterdam, pp. 113–155.
Pacheco, J. F., Scholz, C. H., and Sykes, L. R.: 1992, Changes in frequency-size from small to large earthquakes,Nature 355, 71–73.
Pedone, R., Lombardo, P., and Diamantidis, D.: 1992, Seismotectonic regionalization of the Red Sea area and its application to seismic risk analysis,Natural Hazards 5, 233–247.
Perry, S. K. and Schammel, S.: 1985, Structural model of the southwestern Gulf of Suez and Gemsa plain, Egypt, Techn. Rept., Earth Sci. Resour. Inst., University S. Carolina.
Okubo, P. G. and Aki, K.: 1986, Fractal geometry in the San Andreas fault system,J. Geophys. Res. 92, 345–355.
Riad, S.: 1977, Shear zones in north Egypt interpreted from gravity data,Geophys. 42, 1207–1214.
Rundle, J. B.: 1989, Derivation of the complete Gutenberg-Richter magnitude-frequency relation using the principle of scale invariance,J. Geophys. Res. 94, 12337–12342.
Said, R.: 1981,The Geological Evolution of the River Nile, Springer-Verlag, New York.
Sieberg, A.: 1932, Erdbebengeographie, in B. Gutenberg (ed.),Handbuch der Geophysik IV, Verlag yon Gebruder Borntrager, Berlin, pp. 687–1006.
Squyres, C. H., Klitzsch, E., List, F. K., Pohlmann, G., Handley, R., Hermina, M., and Meissner, B.: 1987, Geological Map of Egypt, 1:500000: Sheets No. NH36NW (Cairo) and No. NH36SW (Beni Suef), The Egyptian General Petroleum Corporation, Cario.
Turcotte, D. L.: 1992,Fractals and Chaos in Geology and Geophysics, Cambridge University Press, Cambridge.
USGS: 1992, Preliminary determination of epicenters, U.S. Geological Survey PDE No. 41–92, 5 November 1992.
Wood, H. O. and Neumann, F.: 1931, Modified Mercalli Intensity Scale of 1931,Seismol. Soc. Am. Bull. 21, 277–283.
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Arab, N., Kazi, A. & Rieke, H.H. Fractal geometry of faults in relation to the 12 October 1992 Cairo earthquake. Nat Hazards 10, 221–233 (1994). https://doi.org/10.1007/BF00596143
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DOI: https://doi.org/10.1007/BF00596143