ISSN 2224-087X (Print)
ISSN 2224-0888 (Online)

Collected scientific papers
"Electronics and information technologies"

(In 1966-2010 published under the title "Electrical engineering")

(Certificate of State Registration 17618-6468 from February 11, 2011)

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Issue 8

Issue 8, Pages: 39-50
DOI: https://doi.org/
Application finite element method in modelling formation mechanisms of the Earth’s structures
V. Fourman, M. Khomjak, L. Khomjak
The numeral integration technique to calculate the gravity anomalies of the geological bodies of complex geometry and different densities using the finite element approach and Gauss’ formulas is developed. In the two-dimensional case the solution algorithm of the direct gravity problem based on MS Excel is proposed. Its implementation in the program language VBA to simulate the test and modelling problems is used. The prospect of the further researches relatively more realistic three-dimensional problems as soon as software development is specified. Proven technique of numerical solving of the inverse problem of gravimetry on the basis of solving a direct problem and taking into account the local error of approximation of the region by finite elements method can be combined according to the structure for solving an integral problem, namely, the distribution of the thermomechanical characteristics of the Earth’s crust and mantle environments, rheologically heterogeneous, for a more comprehensive informative mapping of structural features and data on the spatial-temporal distribution of density, temperature and pressure. In the computer modeling method, the influence of such rheological parameters of the geological environment as layering, anisotropy, ductility and viscosity in the distribution of geodynamic, thermoconvertible and mechanical characteristics of geological structures at the local and regional levels in relation to the tasks of tectonophysics for modeling are taken into account. Of course, while this model can serve only as a zero approximation, its results need not be interpreted directly for real geological objects. However, if the topography is taken into account, the necessary amendments are made, specification of the distribution of densities, reconciliation with available geological and geophysical data, and also in the case of transition to three-dimensional models can be argued about the good prospect of such revised combined models of the interconnection of geodynamic, thermoconvex and mechanical characteristics geological structures of mountain structures and methods of their research on the basis of the proposed, rather simple algorithm and corresponding optimized software.
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