Fractal geometry and seismicity in the Mexican subduction zone
Contenido principal del artículo
Resumen
Mediante el método de conteo por cajas se calcula la dimensión fractal D de una distribución de fallas, fracturas y lineamientos en una región de la costa del sur del Pacífico mexicano. Los resultados sugieren que el valor b de la ley de Gutenberg-Richter y la dimensión fractal están positivamente correlacionadas. Proponemos también que D depende de la profundidad de la zona sismogénica.
Detalles del artículo

Esta obra está bajo una licencia internacional Creative Commons Atribución-NoComercial-CompartirIgual 4.0.
Citas
AKI, K. 1981. A probabilistic synthesis of precursors phenomena. Earthquake Prediction. Maurice Ewing series, 4, (ed. Simson and Richards) (AGU, Washington D. C.) 566-575. DOI: https://doi.org/10.1029/ME004p0566
BAK, P., C. TANG and K. WIESENFELD, 1987. Self-organized criticality: an explanation of 1/f noise. Phys. Rev. Lett. 59, 381-384. DOI: https://doi.org/10.1103/PhysRevLett.59.381
BAK, P. and C. TANG, 1989. Earthquake as a self-organized critical phenomenon. J. Geophys. Res. 94. 15635-15637. DOI: https://doi.org/10.1029/JB094iB11p15635
BARRIERE, B. and D. L. TURCOTTE, 1994. Seismicity and self-organized criticality. Phys. Rev. E. 49, 1151-1160. DOI: https://doi.org/10.1103/PhysRevE.49.1151
GONZALEZ, M. E. 1992. Estudio geomorfológico comparativo con modelos magnetométricos del área del Cerro de Toro, Chilpancingo, Guerrero. M. Sc. Thesis ESIA-IPN Mexico.
GUO, Z. and Y. OGATA, 1995. Correlation between characteristic parameters of aftershock distributions in time space and magnitude. Geophys. Res. Lett. 22, 993-996. DOI: https://doi.org/10.1029/95GL00707
HIRATA, T. 1989a. A correlation between de b value and the fractal dimension of earthquakes. J. Geophys. Res. 94, 7507-7514. DOI: https://doi.org/10.1029/JB094iB06p07507
HIRATA, T. 1989b. Fractal dimension of fault systems in Japan: Fractal structure in rock fracture geometry at various scales. Pageoh. 131, 157-170. DOI: https://doi.org/10.1007/978-3-0348-6389-6_9
INEGI. 1985. E-14-11 Hoja Acapulco, México.
INEGI. 1985. E-14-7 Hoja Zihuatanejo, México.
ITO, K. and M. MATSUZAKI, 1990. Earthquake as a self-organized critical phenomenon. J. Geophys. Res. 95, 6853-6860. DOI: https://doi.org/10.1029/JB095iB05p06853
KING, G. 1983. The accommodation of large strains in the upper lithosphere of the earth and other solids by self-similar fault systems: the geometrical origin of b-value. Pageoh. 121, 761-815. DOI: https://doi.org/10.1007/BF02590182
LOMNITZ-ADLER, J. 1992. Interplay of fault dynamics and fractal dimension in determining Gutenberg-Richter's b-value. Geophys. J. Int. 108, 941-944. DOI: https://doi.org/10.1111/j.1365-246X.1992.tb03482.x
MANDELBROT, B. B. 1982. The fractal geometry of nature. (Freeman, San Francisco).
OKUBO, P. G. and K. AKI, 1987. Fractal Geometry in the San Andreas Fault System. J. Geophys. Res. 92, 345-355. DOI: https://doi.org/10.1029/JB092iB01p00345
PACHECO, J. F., H. CHRISTOPHER SCHOLZ and R. LYNN SYKES, 1992. Change in frequency-size relationship from small to large earthquakes. Nature. 335, 71-73. DOI: https://doi.org/10.1038/355071a0
PARDO, M. and G. SUAREZ, 1993. Steep subduction geometry of the Rivera Plate beneath the Jalisco block in western Mexico. Geophys. Res. Lett. 20, 2391-2394. DOI: https://doi.org/10.1029/93GL02794
SANDER, E., L. M. SANDER and R. F. ZIFF, 1994. Fractals and fractal correlations. Comput. Phys. 8, 420-425. DOI: https://doi.org/10.1063/1.168501
SINGH, S. K., M. RODRIGUEZ and L. ESTEVA, 1983. Statistics of small earthquakes and frequency of occurrence of large earthquakes along the Mexican subduction zone. Bull. Seism. Soc. Am., 73, 1779-1796.
SORNETTE, A. and D. SORNETTE, 1989. Self-organized criticality and earthquakes. Europhys. Lett. 9, 197-202. DOI: https://doi.org/10.1209/0295-5075/9/3/002
SORNETTE, D., C. VANNESTE and A. SORNETTE. 1991. Dispersion of b-values in Gutenberg-Richter law as a consequence of a proposed fractal nature of continental faulting. Geophys. Res. Lett. 18, 997-900. DOI: https://doi.org/10.1029/91GL01124
SUAREZ, G., T. MONFRET, G. WITTLINGER and C. DAVID, 1990. Geometry of subduction and depth of the seismogenic zone in the Guerrero gap, Mexico. Nature, 345, 336-338. DOI: https://doi.org/10.1038/345336a0
TURCOTTE, D. L. 1989. A fractal approach to probabilistic seismic hazard assessment. Tectonophysics 167, 171-177. DOI: https://doi.org/10.1016/0040-1951(89)90067-X
TURCOTTE, D. L., 1992. Fractals and chaos in geology and geophysics. (Cambridge University. Press. Cambridge).