| Инд. авторы: | Itkina N.B., Markov S.I. |
| Заглавие: | Determining an effective permeability tensor in anisotropic media |
| Библ. ссылка: | Itkina N.B., Markov S.I. Determining an effective permeability tensor in anisotropic media // ТРУДЫ XIII МЕЖДУНАРОДНОЙ НАУЧНО-ТЕХНИЧЕСКОЙ КОНФЕРЕНЦИИ АКТУАЛЬНЫЕ ПРОБЛЕМЫ ЭЛЕКТРОННОГО ПРИБОРОСТРОЕНИЯ: Proceedings: in 12 volumes. - 2016. - Vol.1, Part 2. - Новосибирск: Новосибирский государственный технический университет. - P.538-543. - ISBN: 978-5-7782-2992-5 (т. 1). |
| Внешние системы: | РИНЦ: 27322512; |
| Реферат: | eng: In this paper, we propose a modern mathemati-cal method for solving filtration problems in anisotropic media. We present a discrete variational formulation for a Multi-scale Discon-tinuous Galerkin Method (DG-method) with special stabilizing pa-rameters. DG-method is used for solving the Darcy problem with full permeability tensor of the second rank. Recommendations on selecting computational scheme stabilizing parameters are pro-posed. A problem of homogenizing the heterogeneous medium with nonperiodic inclusions is considered. An algorithm for solving an inversion data problem using the Fletcher-Reeves gradient method is given. Mathematical modeling results of solving the Darcy prob-lem in the anisotropic heterogeneous and efficient media are given. A comparative analysis of the obtained mathematical modeling re-sults is carried out. |
| Ключевые слова: | filtration; absolute permeability tensor; homogeniza-tion; discontinuous Galerkin method; |
| Издано: | 2016 |
| Физ. характеристика: | с.538-543 |
| Конференция: | Название: XIII Международная научно-техническая конференция «Актуальные проблемы электронного приборостроения» Аббревиатура: АПЭП–2016 Город: Новосибирск Страна: Россия Даты проведения: 2016-10-03 - 2016-10-06 Ссылка: http://apeie.conf.nstu.ru/apeie2016/ |
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