A finite-volume discretization for deformation of fractured media

@article{Uar2018AFD,
  title={A finite-volume discretization for deformation of fractured media},
  author={Eren Uçar and Eirik Keilegavlen and Inga Berre and Jan Martin Nordbotten},
  journal={Computational Geosciences},
  year={2018},
  volume={22},
  pages={993-1007}
}
Simulating the deformation of fractured media requires the coupling of different models for the deformation of fractures and the formation surrounding them. We consider a cell-centered finite-volume approach, termed the multi-point stress approximation (MPSA) method, which is developed in order to discretize coupled flow and mechanical deformation in the subsurface. Within the MPSA framework, we consider fractures as co-dimension one inclusions in the domain, with the fracture surfaces… 

Simulation of coupled multiphase flow and geomechanics in porous media with embedded discrete fractures

TLDR
A finite‐volume discretization for the multiphase flow equations coupled with a finite‐element scheme for the mechanical equations is explored, which leads to linear systems with advantageous properties in fractured natural formations.

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

A comparative study on simulating flow-induced fracture deformation in subsurface media by means of extended FEM and FVM

TLDR
The research findings showed that the accuracy of theXFEM was slightly higher than that of the XFVM, but the latter was more efficient, likely to be useful in decision making regarding choice of solving methods for the multi-field coupling problem in fractured porous media.

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.

Reactivation of Fractures in Subsurface Reservoirs—A Numerical Approach Using a Static-Dynamic Friction Model

Fluid-induced slip of fractures is characterized by strong multiphysics couplings. Three physical processes are considered: Flow, rock deformation and fracture deformation. The fractures are

Numerical methods for coupled processes in fractured porous media

TLDR
How highly permeable fractures affect the viscous fingering in a porous medium is studied and there is a complex interplay between the unstable viscous fingers and the fractures.

Convergence of single rate and multirate undrained split iterative schemes for a fractured biot model

This paper considers a coupled flow and mechanics problem in a fractured poro-elastic medium. The fracture geometry is explicitly treated as a possibly non-planar interface. The model equations are

Finite volume method for modelling of linear elastic deformation:

The demand for accurate and efficient simulations in order to test the geomechanical effects is a reality for the entire geoscience community. The motivation that arises from that need is the

References

SHOWING 1-10 OF 47 REFERENCES

An embedded fracture modeling framework for simulation of hydraulic fracturing and shear stimulation

A numerical modeling framework is described that is able to calculate the coupled processes of fluid flow, geomechanics, and rock failure for application to general engineering problems related to

Discrete fracture model for coupled flow and geomechanics

We present a fully implicit formulation of coupled flow and geomechanics for fractured three-dimensional subsurface formations. The Reservoir Characterization Model (RCM) consists of a computational

Finite volume methods for elasticity with weak symmetry

TLDR
The first set of comprehensive numerical tests for the MPSA methods in three dimensions are presented, covering Cartesian and simplex grids, with both heterogeneous and nearly incompressible media, and show that the new method is more robust and computationally cheaper than previous MPSAs.

Finite Elements in Fracture Mechanics

TLDR
A family of 2-D finite elements which have the capability of modelling general power type singularity problems is developed and a 3-D 6-noded element containing a singularity λ can be used to model a corner singularity at the crack front free surface intersection and cracks in composite materials.

Stable Cell-Centered Finite Volume Discretization for Biot Equations

TLDR
Stability of the proposed discretization for the Biot equations is proved with respect to all relevant limits, and explicit local expressions for both momentum-balancing forces and mass-conservative fluid fluxes are available.

Cell‐centered finite volume discretizations for deformable porous media

The development of cell‐centered finite volume discretizations for deformation is motivated by the desire for a compatible approach with the discretization of fluid flow in deformable porous media.

Symmetric‐Galerkin BEM simulation of fracture with frictional contact

A symmetric‐Galerkin boundary element framework for fracture analysis with frictional contact (crack friction) on the crack surfaces is presented. The algorithm employs a continuous interpolation on

Convergence of a Cell-Centered Finite Volume Discretization for Linear Elasticity

TLDR
The stability and convergence results presented herein provide the first rigorous justification of the applicability of cell-centered finite volume methods to problems in linear elasticity.

Investigation of injection-induced seismicity using a coupled fluid flow and rate/state friction model

We describe a numerical investigation of seismicity induced by injection into a single isolated fracture. Injection into a single isolated fracture is a simple analog for shear stimulation in