Solution of the stokes equation in three-dimensional geometry by the finite-difference method
- Authors: Vasilyev R.V.1,2, Gerke K.M.3,4, Karsanina M.V.2,3, Korost D.V.1
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Affiliations:
- Geological Faculty
- AIR Technology LLC
- Institute of Geosphere Dynamics
- CSIRO Land and Water
- Issue: Vol 8, No 1 (2016)
- Pages: 63-72
- Section: Article
- URL: https://journals.rcsi.science/2070-0482/article/view/200684
- DOI: https://doi.org/10.1134/S2070048216010105
- ID: 200684
Cite item
Abstract
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.
About the authors
R. V. Vasilyev
Geological Faculty; AIR Technology LLC
Author for correspondence.
Email: vasilyev.rw@gmail.com
Russian Federation, Moscow; Moscow
K. M. Gerke
Institute of Geosphere Dynamics; CSIRO Land and Water
Email: vasilyev.rw@gmail.com
Russian Federation, Moscow; Canberra
M. V. Karsanina
AIR Technology LLC; Institute of Geosphere Dynamics
Email: vasilyev.rw@gmail.com
Russian Federation, Moscow; Moscow
D. V. Korost
Geological Faculty
Email: vasilyev.rw@gmail.com
Russian Federation, Moscow