@Article{CiCP-27-2,
author = {Vasilyeva, Maria and T., Eric, Chung and Yalchin, Efendiev and Tyrylgin, Aleksey},
title = {A Three-Level Multi-Continua Upscaling Method for Flow Problems in Fractured Porous Media},
journal = {Communications in Computational Physics},
year = {2020},
volume = {27},
number = {2},
pages = {619--638},
abstract = {<p style="text-align: justify;">Traditional two level upscaling techniques suffer from a high offline cost
when the coarse grid size is much larger than the fine grid size one. Thus, multilevel
methods are desirable for problems with complex heterogeneities and high contrast. In
this paper, we propose a novel three-level upscaling method for flow problems in fractured porous media. Our method starts with a fine grid discretization for the system
involving fractured porous media. In the next step, based on the fine grid model, we
construct a nonlocal multi-continua upscaling (NLMC) method using an intermediate
grid. The system resulting from NLMC gives solutions that have physical meaning. In
order to enhance locality, the grid size of the intermediate grid needs to be relatively
small, and this motivates using such an intermediate grid. However, the resulting
NLMC upscaled system has a relatively large dimension. This motivates a further step
of dimension reduction. In particular, we will apply the idea of the Generalized Multiscale Finite Element Method (GMsFEM) to the NLMC system to obtain a final reduced
model. We present simulation results for a two-dimensional model problem with a
large number of fractures using the proposed three-level method.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2018-0219},
url = {https://global-sci.com/article/79775/a-three-level-multi-continua-upscaling-method-for-flow-problems-in-fractured-porous-media}
}