Rigorous derivation of discrete fracture models for Darcy flow in the limit of vanishing aperture
From MaRDI portal
Publication:6572221
DOI10.3934/nhm.2024006MaRDI QIDQ6572221
Unnamed Author, Christian Rohde
Publication date: 15 July 2024
Published in: Networks and Heterogeneous Media (Search for Journal in Brave)
PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization applied to problems in fluid mechanics (76M50)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The narrow fracture approximation by channeled flow
- Phase-field modeling of a fluid-driven fracture in a poroelastic medium
- Hybrid-dimensional modelling of two-phase flow through fractured porous media with enhanced matrix fracture transmission conditions
- Phénomènes de transmission à travers des couches minces de conductivite elevee
- Existence, uniqueness and regularity of the projection onto differentiable manifolds
- Formal upscaling and numerical validation of unsaturated flow models in fractured porous media
- A finite-volume moving-mesh method for two-phase flow in dynamically fracturing porous media
- A dimensionally reduced Stokes-Darcy model for fluid flow in fractured porous media
- A reduced fracture model for two-phase flow with different rock types
- Problèmes de perturbations lies aux phénomènes de conduction à travers des couches minces de grande resistivite
- A Darcy-Brinkman model of fractures in porous media
- A multiscale Darcy-Brinkman model for fluid flow in fractured porous media
- Functional analysis and exterior calculus on mixed-dimensional geometries
- Modeling fracture propagation in poro-elastic media combining phase-field and discrete fracture models
- Mixed-dimensional poromechanical models of fractured porous media
- Adaptive Hierarchical Fracture Model for Enhanced Geothermal Systems
- Analysis of Model Error for a Continuum-Fracture Model of Porous Media Flow
- An Introduction to the Mathematical Theory of the Navier-Stokes Equations
- Shapes and Geometries
- Interface approximation of Darcy flow in a narrow channel
- Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
- Derivation of the Double Porosity Model of Single Phase Flow via Homogenization Theory
- Geometric model of the fracture as a manifold immersed in porous media
- Modeling and Analysis of the Coupling in Discrete Fracture Matrix Models
- Rigorous Upscaling of Unsaturated Flow in Fractured Porous Media
- Modeling Fractures and Barriers as Interfaces for Flow in Porous Media
- Dimensional model reduction for flow through fractures in poroelastic media
- Asymptotic approximations for semilinear parabolic convection-dominated transport problems in thin graph-like networks
- Fluid flow and mass transport in fractured media with curved fractures and varying apertures: A 3D modeling approach
- Flow in Porous Media with Fractures of Varying Aperture
- On the limit of a two‐phase flow problem in thin porous media domains of Brinkman type
- Modelling and discretization of flow in porous media with thin, full-tensor permeability inclusions
This page was built for publication: Rigorous derivation of discrete fracture models for Darcy flow in the limit of vanishing aperture