Tectonic stress field and fractal distribution of volcanoes in the Michoacan-Guanajuato region of the Mexican Volcanic Belt
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Abstract
From the orientation of normal faults and the alignment of volcanoes, the tectonic stress field of the Michoacan Guanajuato volcanic field was estimated. The maximum compressional principal stress σ1 is vertical throughout the region and σ2 trends E-W in the northern area and NE-SW in the southern area. The origin of the stress field is attributed to the trench ward slipping of the arc sliver on the brittle/ductile boundary surface induced by the rollback of the Middle America trench axis. This is related to the subduction rate of the Cocos plate which is slower than the critical rate of 7.2 cm/y.~~The spatial distribution of volcanic centers, and the volume of volcanic bodies, are fractal; the fractal dimensions are J,63 arid 1.44 respectively. The fractality and the large values of the fractal dimension are explained by an analogy to viscous fingering or invasion percolation in porous media which is an effect of the crustal stress profile of the tensional stress field.
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References
BAN, M., T. HASENAKA, H. DELGADO-GRANADOS and N. TAKAOKA, 1992. K-Ar ages of lavas from shield volcanoes in the Michoacán-Guanajuato volcanic field, Mexico. Geofísica Internacional, 31, 467-473. DOI: https://doi.org/10.22201/igeof.00167169p.1992.31.4.1367
BURBACH, G. V., C. FROHLICH, W. D. PENNINGTON and T. MATSUMOTO, 1984. Seismicity and tectonics of the subducted Cocos plate. J. Geophys. Res., 89, 7719-7735. DOI: https://doi.org/10.1029/JB089iB09p07719
CONNOR, C. B., 1990. Cinder cone clustering in the Trans-Mexican Volcanic Belt: implications for structural and petrologic models. J. Geophys. Res., 95, 19, 396-19405. DOI: https://doi.org/10.1029/JB095iB12p19395
DeMETS, C., R. G. GORDON, D. F. ARGUS and S. STEIN, 1990. Current plate motions. Geophys. J. Int., 101, 425-478. DOI: https://doi.org/10.1111/j.1365-246X.1990.tb06579.x
DeMETS, C. and S. STEIN, 1990. Present-day kinematics of the Rivera plate and implications for tectonics in southwestern Mexico. J. Geophys. Res., 95, 21931-21948. DOI: https://doi.org/10.1029/JB095iB13p21931
EISSLER, H. K. and K. C. McNALLY, 1984. Seismicity and tectonics of the Rivera plate and implications for the 1932 Jalisco, Mexico, earthquake. J. Geophys. Res., 89, 4520-4530. DOI: https://doi.org/10.1029/JB089iB06p04520
FEDER, J., 1988. Fractals., Plenum Press, New York., 283 pp. DOI: https://doi.org/10.1007/978-1-4899-2124-6
FLY, N., 1979. Random point distribution and strain measurement in rocks. Tectonophysics, 60, 89-105. DOI: https://doi.org/10.1016/0040-1951(79)90135-5
HASENAKA, T., 1994. Size, distribution, and magma output rate for shield volcanoes of the Michoacan-Guanajuato volcanic field, Mexico. J. Volcanol. Geotherm. Res., 63, 13-31. DOI: https://doi.org/10.1016/0377-0273(94)90016-7
HASENAKA, T. and I. S. E. CARMICHAEL, 1985a. A compilation of location, size, and geomorphological parameters of volcanoes of the Michoacan-Guanajuato volcanic field, central Mexico. Geofísica Internacional, 24, 577-607. DOI: https://doi.org/10.22201/igeof.00167169p.1985.24.4.2179
HASENAKA, T. and I. S. E. CARMICHAEL, 1985b. The cinder cones of Michoacán-Guanajuato, central Mexico: their age, volume and magma discharge rate. J. Volcanol. Geotherm. Res., 25, 105-124. DOI: https://doi.org/10.1016/0377-0273(85)90007-1
HASENAKA, T. and I. S. E. CARMICHAEL, 1987. The cinder cones of Michoacan-Guanajuato, central Mexico: petrology and chemistry. J. Petrol., 28, 241-269. DOI: https://doi.org/10.1093/petrology/28.2.241
ISHIKAWA, M. and K. OTSUKI, 1995. The effects of strain gradients on the asymmetry of experimental normal fault system. J. Struct. Geol., in press. DOI: https://doi.org/10.1016/0191-8141(94)00121-F
JOHNSON, C. A. and C. G. A. HARRISON, 1990. Neotectonics in central Mexico. Phys. Earth Planet. Interiors, 64, 187-210. DOI: https://doi.org/10.1016/0031-9201(90)90037-X
LUHR, J. F. and I. S. E. CARMICHAEL, 1985. Jorullo volcano, Michoacán, Mexico (1759-1774): the earliest stages of fractionation in calc-alkaline magmas. Contrib. Mineral. Petrol., 90, 142-161. DOI: https://doi.org/10.1007/BF00378256
NAKAMURA, K., 1977. Volcanoes as possible indicators of tectonic stress orientation. Principle and proposal. J. Volcanol. Geoth. Res., 2, 1-16. DOI: https://doi.org/10.1016/0377-0273(77)90012-9
ORD, A. and B. E. HOBBS, 1989. The strength of the continental crust, detachment zones and the development of plastic instabilities. Tectonophysics, 158, 269-289. DOI: https://doi.org/10.1016/0040-1951(89)90328-4
OTSUKI, K., 1989. Empirical relationships among the convergence rate of plate, rollback rate of trench axis and island-arc tectonics: "laws of convergence rate of plates". Tectonophysics, 159, 73-94. DOI: https://doi.org/10.1016/0040-1951(89)90171-6
PASQUARÈ, G., V. H. GARDUÑO, A. TIBALDI and M. FERRARI, 1988a. Stress pattern evolution in the central sector of the Mexican volcanic belt. Tectonophysics, 146, 353-364. DOI: https://doi.org/10.1016/0040-1951(88)90099-6
PASQUARÈ, G., A. TIBALDI, M. ATTOLINI and G. CECCONI, 1988b. Morphometry, spatial distribution and tectonic control of Quaternary volcanoes in Northern Michoacán, Mexico. Rendiconti Della Societa Italiana di Mineralogia e Petrologia., 43, 1215-1225.
SUTER, M., 1991. State of stress and active deformation in Mexico and western Central America. In: The Geology of North America Decade Map, Volume 1, 401-421. DOI: https://doi.org/10.1130/DNAG-CSMS-NEO.401
SUTER, M., O. QUINTERO and C. A. JOHNSON, 1992. Active faults and state of stress in the central part of the Trans-Mexican volcanic belt, Mexico. 1. The Venta de Bravo fault. J. Geophys. Res., 97, 11983-11993. DOI: https://doi.org/10.1029/91JB00428
WADGE, G. and A. CROSS, 1988. Quantitative methods for detecting aligned points: An application to the volcanic vents of the Michoacán-Guanajuato volcanic field, Mexico. Geology. 16, 815-818. DOI: https://doi.org/10.1130/0091-7613(1988)016<0815:QMFDAP>2.3.CO;2