• Corpus ID: 246240370

Numerical analysis of a mixed-dimensional poromechanical model with frictionless contact at matrix-fracture interfaces

@article{Bonaldi2022NumericalAO,
  title={Numerical analysis of a mixed-dimensional poromechanical model with frictionless contact at matrix-fracture interfaces},
  author={Francesco Bonaldi and J{\'e}r{\^o}me Droniou and Roland Masson},
  journal={ArXiv},
  year={2022},
  volume={abs/2201.09646}
}
We present a complete numerical analysis for a general discretization of a coupled flow– mechanics model in fractured porous media, considering single-phase flows and including frictionless contact at matrix–fracture interfaces, as well as nonlinear poromechanical coupling. Fractures are described as planar surfaces, yielding the so-called mixedor hybrid-dimensional models. Small displacements and a linear elastic behavior are considered for the matrix. The model accounts for discontinuous… 

Figures from this paper

References

SHOWING 1-10 OF 59 REFERENCES
Gradient discretization of two-phase flows coupled with mechanical deformation in fractured porous media
Two-Phase Darcy Flows in Fractured and Deformable Porous Media, Convergence Analysis and Iterative Coupling
Summary We consider a two-phase Darcy flow in a fractured porous medium consisting in a matrix flow coupled with a tangential flow in the fractures, described as a network of planar surfaces. This
Gradient discretization of two-phase poro-mechanical models with discontinuous pressures at matrix fracture interfaces
TLDR
In this work, the gradient discretization of [10] is extended to the discontinuous pressure model and the convergence to a weak solution is proved.
The hydromechanical equilibrium state of poroelastic media with a static fracture: A dimension-reduced model with existence results in weighted Sobolev spaces and simulations with an XFEM discretization
TLDR
It is shown that the coupled fluid–fluid problem has a solution in a specially crafted Sobolev space, even though the fracture width cannot be bounded away from zero near the crack tip, and optimal mesh dependence of the discretization errors even in the presence of crack tips is observed.
ASYMPTOTIC AND NUMERICAL MODELLING OF FLOWS IN FRACTURED POROUS MEDIA
This study concerns some asymptotic models used to compute the flow outside and inside fractures in a bidimensional porous medium. The flow is governed by the Darcy law both in the fractures and in
Numerical analysis of a two-phase flow discrete fracture model
We present a new model for two phase Darcy flows in fractured media, in which fractures are modelled as submanifolds of codimension one with respect to the surrounding domain (matrix). Fractures can
A fully coupled numerical model of thermo-hydro-mechanical processes and fracture contact mechanics in porous media
A lubrication fracture model in a poro-elastic medium
We present a non-planar fracture model in a poro-elastic medium. The medium in which the fracture is embedded is governed by the standard Biot equations of linear poro-elasticity and the flow of the
Finite volume discretization for poroelastic media with fractures modeled by contact mechanics
A fractured poroelastic body is considered where the opening of the fractures is governed by a nonpenetration law, whereas slip is described by a Coulomb‐type friction law. This physical model
...
...