@Article{CiCP-9-180,
author = {},
title = {Numerical Calculation of Equivalent Permeability Tensor for Fractured Vuggy Porous Media Based on Homogenization Theory},
journal = {Communications in Computational Physics},
year = {2011},
volume = {9},
number = {1},
pages = {180--204},
abstract = {<p style="text-align: justify;">A numerical procedure for the evaluation of equivalent permeability tensor
for fractured vuggy porous media is presented. At first we proposed a new conceptual
model, i.e., discrete fracture-vug network model, to model the realistic fluid flow in
fractured vuggy porous medium on fine scale. This new model consists of three systems:
rock matrix system, fractures system, and vugs system. The fractures and vugs
are embedded in porous rock, and the isolated vugs could be connected via discrete
fracture network. The flow in porous rock and fractures follows Darcy&#39;s law, and the
vugs system is free fluid region. Based on two-scale homogenization theory, we obtained
an equivalent macroscopic Darcy&#39;s law on coarse scale from fine-scale discrete
fracture-vug network model. A finite element numerical formulation for homogenization
equations is developed. The method is verified through application to a periodic
model problem and then is applied to the calculation of equivalent permeability tensor
of porous media with complex fracture-vug networks. The applicability and validity
of the method for these more general fractured vuggy systems are assessed through a
simple test of the coarse-scale model.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.150709.130410a},
url = {http://global-sci.org/intro/article_detail/cicp/7496.html}
}