Statistics
Scientific paper
Dec 2007
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007agufm.p42b..03m&link_type=abstract
American Geophysical Union, Fall Meeting 2007, abstract #P42B-03
Statistics
5455 Origin And Evolution, 5475 Tectonics (8149), 5734 Magnetic Fields And Magnetism, 8099 General Or Miscellaneous, 8149 Planetary Tectonics (5475)
Scientific paper
Orientations of faults and lineaments of the Earth's crust, as well as fractal statistics in spatial distribution of faults and lineaments were studied. It is shown that regularities in the orientation of faults as well as the fractal distribution of their lengths and sizes is the result of hundreds of million years of gravitational interaction between Earth and Moon. On the basis of this study, it was assumed that the Earth's crust, lithosphere, and, probably, deeper layers, when acted on by the Sun and Moon tidal deformations can be treated as comminuted scale- invariant hierarchical substances. An important implication of this rheology is that the Earth's material can be treated as a loose granular substance. Mathematical modeling of loose substance tidal deformations demonstrated that the radial planetary tides are being transformed into lateral motion of planetary layers. The rate of lateral motion of planetary layers depends on the magnitude of the rate of radial tidal deformations, k(r). Mathematical modeling of tidal deformations for different distributions k(r) showed that the radial variation of this coefficient produces differential motion of deep planetary layers resulting in: a) westward drift of the surface layers with a rate of up to 4cm/year, and b) internal frictional heating of deep layers which can raise temperatures at given depths to the melting point of the material. This melting can be one of the factors influencing and amplifying the magnetic field in a planet. Experimental modeling (Revuzhenko, 2006) of tidal deformations in loose granular substance is in good agreement with the results of mathematical modeling. Thus, Earth, as an element of a binary planet system possesses such peculiarities in its structure and evolution which a single planet could not have.
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