Computation of effective resistivity in materials with microinclusions by a heterogeneous multiscale finite element method


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In this paper, we propose a numerical method to obtain an effective electrical resistivity of heterogeneous media under the influence of a direct current. The heterogeneous multiscale finite element method is used to solve the direct problem of simulation of an electrostatic field. The computational experiments using the developed software complex showed that even the small inclusion concentrations define the effective resistivity of the media. In addition, the change in the localization, orientation, and geometrical shape of inclusions also leads to a significant change of the effective properties of the media.

Sobre autores

M. Epov

Novosibirsk State University

Autor responsável pela correspondência
Email: EpovMI@ipgg.sbras.ru
Rússia, Novosibirsk, 630090

E. Shurina

Novosibirsk State Technical University; Trofimuk Institute of Petroleum Geology and Geophysics, Siberian Branch

Email: EpovMI@ipgg.sbras.ru
Rússia, Novosibirsk, 630073; Novosibirsk, 630090

A. Kutischeva

Novosibirsk State Technical University; Trofimuk Institute of Petroleum Geology and Geophysics, Siberian Branch

Email: EpovMI@ipgg.sbras.ru
Rússia, Novosibirsk, 630073; Novosibirsk, 630090

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