On blocks of various types in problems of geoecology
UDC
539.422.3EDN
ZHXFNBAbstract
Developers should consider the model of the environment as close to natural as possible, apply a mathematical apparatus that adequately and reliably describes the processes and phenomena occurring in the environment under study, while constructing mathematical models of modern geophysical environment monitoring systems, environmental quality management and environmental management. In this paper, we proposed a method based on a topological approach that allows one to set and solve boundary problems on the basis of equations of motion for media characterized by essentially different mechanical, chemical, rheological characteristics in different coordinate systems. An algorithm of the differential factorization method for investigating processes in a block-structured medium has been developed, the individual blocks of which are formed by spherical boundaries (in spherical coordinates) and cylindrical boundaries (in cylindrical coordinates). The developed methods make it possible to study a wide class of convective currents that arise in the atmosphere (modeling tornadoes), seas and oceans (cyclonic currents of various scales), geophysics; promptly assess the level of technogenic seismicity, which will reduce the seismogenic impact of modern industrial production and minimize the level of induced seismicity.
Keywords:
medium, complex internal structure, topological approach, cylindrical block element, ball block elementFunding information
Работа выполнена при поддержке РФФИ (16-08-00191_а), РФФИ и администрации Краснодарского края (16-41-230154, 16-41-230184).
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Copyright (c) 2017 Зарецкая М.В., Бабешко О.М., Зарецкий А.Г., Лозовой В.В.
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