Implementation of mixed-dimensional models for flow in fractured porous media
Abstract
Models that involve coupled dynamics in a mixed-dimensional geometry are of increasing interest in several applications. Here, we describe the development of a simulation model for flow in fractured porous media, where the fractures and their intersections form a hierarchy of interacting subdomains. We discuss the implementation of a simulation framework, with an emphasis on reuse of existing discretization tools for mono-dimensional problems. The key ingredients are the representation of the mixed-dimensional geometry as a graph, which allows for convenient discretization and data storage, and a non-intrusive coupling of dimensions via boundary conditions and source terms. This approach is applicable for a wide class of mixed-dimensional problems. We show simulation results for a flow problem in a three-dimensional fracture geometry, applying both finite volume and virtual finite element discretizations.
Keywords
Cite
@article{arxiv.1712.07392,
title = {Implementation of mixed-dimensional models for flow in fractured porous media},
author = {Eirik Keilegavlen and Alessio Fumagalli and Runar Berge and Ivar Stefansson},
journal= {arXiv preprint arXiv:1712.07392},
year = {2017}
}