TY - JOUR
AU - Korost, D.
AB - 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.
TI - Solution of the stokes equation in three-dimensional geometry by the finite-difference method
JF - Mathematical Models and Computer Simulations
DO - 10.1134/S2070048216010105
DA - 2016-01-28
UR - https://www.deepdyve.com/lp/springer-journals/solution-of-the-stokes-equation-in-three-dimensional-geometry-by-the-tngyv26CJh
SP - 63
EP - 72
VL - 8
IS - 1
DP - DeepDyve
ER -