Solution of the stokes equation in three-dimensional geometry by the finite-difference method

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• 作者：R. V. Vasilyev ; K. M. Gerke ; M. V. Karsanina…
• 关键词：porous media ; permeability ; X ; ray microtomography ; effective properties ; pore ; scale modeling
• 刊名：Mathematical Models and Computer Simulations
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：8
• 期：1
• 页码：63-72
• 全文大小：651 KB
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• 作者单位：R. V. Vasilyev (1) (2)
  K. M. Gerke (3) (4)
  M. V. Karsanina (2) (3)
  D. V. Korost (1)
  
  1. Geological Faculty, Moscow State University, Moscow, Russia
  2. AIR Technology LLC, Moscow, Russia
  3. Institute of Geosphere Dynamics, Russian Academy of Sciences, Moscow, Russia
  4. CSIRO Land and Water, Waite Laboratories Urrbrae SA, Canberra, Australia
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematical Modeling and IndustrialMathematics
  Simulation and Modeling
  Russian Library of Science
  
• 出版者：MAIK Nauka/Interperiodica distributed exclusively by Springer Science+Business Media LLC.
• ISSN：2070-0490

文摘

The recent progress in the methods for the study of the three-dimensional structure of porous and composite materials (microtomography, confocal microscopy, and FIB-SEM) and the significant improvement in the available computational resources make it possible to simulate various processes directly in the three dimensional geometry of samples of such materials (pore-scale modeling) in order to determine their effective properties or to get a more detailed understanding of the studied processes, such as filtration. In this work, we solve the Stokes equation by the finite-difference method using schemes of the second and fourth orders of accuracy in a three-dimensional domain whose geometry reproduces the microstructure of the investigated rock samples. The numerical values of permeability obtained for a sample of sandstone are consistent with the data of laboratory measurements. Keywords porous media permeability X-ray microtomography effective properties pore-scale modeling