Verification benchmarks for single-phase flow in three-dimensional fractured porous media

I Berre, WM Boon, B Flemisch, A Fumagalli… - Advances in Water …, 2021 - Elsevier
Flow in fractured porous media occurs in the earth's subsurface, in biological tissues, and in
man-made materials. Fractures have a dominating influence on flow processes, and the last …

Flow and transport in three-dimensional discrete fracture matrix models using mimetic finite difference on a conforming multi-dimensional mesh

JD Hyman, MR Sweeney, CW Gable, D Svyatsky… - Journal of …, 2022 - Elsevier
We present a comprehensive workflow to simulate single-phase flow and transport in
fractured porous media using the discrete fracture matrix approach. The workflow has three …

A Stokes–Darcy–Darcy model and its discontinuous Galerkin method on polytopic grids

R Li, Y Gao, CS Zhang, Z Chen - Journal of Computational Physics, 2024 - Elsevier
In this paper, we propose and numerically solve a model considering confined flow in
fractured porous media coupled with free flow in conduits. Such a situation arises, for …

Impact of artificial topological changes on flow and transport through fractured media due to mesh resolution

AA Pachalieva, MR Sweeney, H Viswanathan… - Computational …, 2023 - Springer
We performed a set of numerical simulations to characterize the interplay of fracture network
topology, upscaling, and mesh refinement on flow and transport properties in fractured …

Well-posedness and finite element approximation of mixed dimensional partial differential equations

F Hellman, A Målqvist, M Mosquera - BIT Numerical Mathematics, 2024 - Springer
In this article, a mixed dimensional elliptic partial differential equation is considered, posed
in a bulk domain with a large number of embedded interfaces. In particular, well-posedness …

Numerical approximation for hybrid‐dimensional flow and transport in fractured porous media

J Zhao, H Rui - Numerical Methods for Partial Differential …, 2024 - Wiley Online Library
This article presents the stable miscible displacement problem in fractured porous media,
and finite element discretization is constructed for this reduced model. The transmission …

An Interior Penalty Discontinuous Galerkin Method for an Interface Model of Flow in Fractured Porous Media

Y Liu, Z Xu - arXiv preprint arXiv:2405.06874, 2024 - arxiv.org
Discrete fracture models with reduced-dimensional treatment of conductive and blocking
fractures are widely used to simulate fluid flow in fractured porous media. Among these …

Intersecting fractures in porous media: mathematical and numerical analysis

L Amir, M Kern, Z Mghazli, JE Roberts - Applicable Analysis, 2023 - Taylor & Francis
This paper studies a model for flow in a fractured porous medium with intersecting fractures.
The fractures are treated as lower-dimensional manifolds and then physical transmission …

Global-in-Time Domain Decomposition Methods for Flow and Transport Problems in Fractured Porous Media

T Huynh - 2024 - etd.auburn.edu
This thesis contributes to the development of numerical methods for the reduced fracture
models of flow and transport problems in porous media containing fractures. In particular …