Verification benchmarks for single-phase flow in three-dimensional fractured porous media
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 …
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
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 …
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
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 …
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
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 …
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 …
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 …
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
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 …
fractures are widely used to simulate fluid flow in fractured porous media. Among these …
Intersecting fractures in porous media: mathematical and numerical analysis
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 …
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 …
models of flow and transport problems in porous media containing fractures. In particular …