Mathematics – Logic
Scientific paper
Dec 2008
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008agufm.p31a1379m&link_type=abstract
American Geophysical Union, Fall Meeting 2008, abstract #P31A-1379
Mathematics
Logic
8168 Stresses: General
Scientific paper
The kinematics and dynamics of a binary "Earth-Moon" planet system have been studied with respect to the rotational motion of the Earth and Moon about the barycenter of the system, situated at a distance of 4641 km from the center of the Earth. The Earth's orbital motion, rotation and tidal deformations have a significant influence on the geodynamic processes, generation and support of the magnetic field, and climate changes of the planet. It has been shown that the tidal force causes displacements of the inner core; the corresponding gravitational effect on the Earth's surface has been evaluated (Avsyuk, 2001; Avsyuk, Suvorova, 2006). To explain these correlations, a number of mechanisms of transformations of radial tidal deformations into lateral displacements of the Earth's substance have been considered. In addition, three rheological models were taken to model tidal deformations: viscous, granular, and a fractal model based on Zener's standard rheological element. Mathematical modeling of tidal deformations for different rheologies of the substances of Earth demonstrated that the radial planetary tides are being transformed into lateral motion of planetary layers. Evaluation of the rate of lateral motion shows that this mechanism can be responsible for the westward drift of the lithosphere. 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 internal frictional heating of deep layers which can raise temperatures at given depths to the melting point of this material (Maslov, Anokhin, 2007; Maslov, 2007). This melting can be one of the factors influencing and amplifying the Earth's magnetic field. It is shown that the rate and energy of differential lateral motion of material in the core are enough to generate and support Earth's magnetic field. Experimental modeling (Revuzhenko, 2006) of tidal deformations in granular substance is in good agreement with the results of mathematical modeling.
Avsyuk Yu. N.
Maslov Lev A.
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