@Article{CiCP-20-405,
author = {Yi Wang and Shuyu Sun},
title = {Direct Calculation of Permeability by High-Accurate Finite Difference and Numerical Integration Methods},
journal = {Communications in Computational Physics},
year = {2018},
volume = {20},
number = {2},
pages = {405--440},
abstract = {<p style="text-align: justify;">Velocity of fluid flow in underground porous media is 6∼12 orders of magnitudes
lower than that in pipelines. If numerical errors are not carefully controlled in
this kind of simulations, high distortion of the final results may occur [1–4]. To fit the
high accuracy demands of fluid flow simulations in porous media, traditional finite
difference methods and numerical integration methods are discussed and corresponding
high-accurate methods are developed. When applied to the direct calculation
of full-tensor permeability for underground flow, the high-accurate finite difference
method is confirmed to have numerical error as low as 10<sup>−5</sup>% while the high-accurate
numerical integration method has numerical error around 0%. Thus, the approach
combining the high-accurate finite difference and numerical integration methods is a
reliable way to efficiently determine the characteristics of general full-tensor permeability
such as maximum and minimum permeability components, principal direction
and anisotropic ratio.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.210815.240316a},
url = {http://global-sci.org/intro/article_detail/cicp/11158.html}
}