Systems of Faults and Lineaments in the Earth's Crust, Mars, Moon and other Planets. Regularities in Orientation, Fractal Statistics, Metallogeny and Origin

Mathematics – Logic

Scientific paper

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5475 Tectonics (8149), 5770 Tidal Forces, 8149 Planetary Tectonics (5475)

Scientific paper

The "orientation - number of lineaments and faults" rose-charts have been constructed from the continental and ocean bottom structural maps. Analysis of these charts revealed the existence in the Earth's crust of four global regular systems of lineaments and faults (Systems I, II and Systems III, IV): Systems I,II consist of lineaments and faults in N S and E-W directions; Systems III,IV consists of lineaments and faults in NW SE and NE-SW directions. These Systems include structures of different geological times from Riphean grabens of the Russian platform and Ural fold belt to the Alpine Rift of the Red Sea. Orientation of earthquake epicenter's clusters (seismological lineaments) has been considered separately. For each cluster the median line fitting its length and direction was drawn. The length and azimuth of a median line corresponding to each single cluster was plotted on a rose-chart. The epicenters of earthquakes (seismofocal zones) display the same regularities as expressed in System I. This is not surprising because all the seismofocal zones are concentrated within two relatively narrow tectonic regions - the Pacific Tectonic Belt, which has the submeridianal strike, and Alpine-Himalaya Tectonic Belt of the subequatorial strike. Factor analysis has been performed in order to find possible causes for the origin and maintaining of faults systems. Mathematical modeling of mechanical stresses caused by change of the Earth's ellipsoid compression showed that the principal normal stresses are oriented in the N-S and E W directions, as well as corresponding principal shear stresses which are oriented in NE-SW and NW-SE directions. The secular deceleration of the Earth's rotation can be a reasonable mechanism for the change of the Earth's ellipsoid compression and, consequently, for origin of faults. Spatial correlation of fault's characteristics (length - frequency, length - distance between faults, length - magnitudes of displacements, distance between faults - thickness of the crust) obey fractal frequency-magnitude statistics. Faults belonging to different fault systems have different mineragenic specialization. However, larger concentrations of minerals are found at intersections of faults. Pacific, as well as Alpine-Himalaya Tectonic Belts and corresponding systems of faults are a surface manifestation of a global planetary dichotomy. The hemispheric dichotomy manifested as an elevation difference is observed also on Moon, Mars, Mercury (?) and Venus (?). The hemispheric dichotomy expressed as relative shift of hemispheres is observed on Europa. Solid tides mechanism is proposed to explain planetary dichotomies and regularities in faults and lineaments orientations.

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