A two‐scale approach for fluid flow in fractured porous media
By J. Réthoré, R. de Borst, Marie-Angèle Abellan. 2006
226 citations recorded by the source corpus.
A two‐scale numerical model is developed for fluid flow in fractured, deforming porous media. At the microscale the flow in the cavity of a fracture is modelled as a viscous fluid. From the micromechanics of the flow in the cavity, coupling equations are derived for the momentum and the mass couplings to the equations for a fluid‐saturated porous medium, which are assumed to hold on the macroscopic scale. The finite element equations are derived for this two‐scale approach and integrated over time. By exploiting the partition‐of‐unity property of the finite element shape functions, the position and direction of the fractures is independent from the underlying discretization. The resulting discrete equations are non‐linear due to the non‐linearity of the coupling terms. A consistent linearization is given for use within a Newton–Raphson iterative procedure. Finally, examples are given to show the versatility and the efficiency of the approach, and show that faults in a deforming porous medium can have a significant effect on the local as well as on the overall flow and deformation patterns. Copyright © 2006 John Wiley & Sons, Ltd.
Subfields: Civil and Structural Engineering, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/c02481dd9793a49b27aa369d0e1a7b2eede92497
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Citations in the corpus
- Thermo-hydro-mechanical modeling of impermeable discontinuity in saturated porous media with X-FEM technique (2012, background): “[48] for the fluid flow in fractured porous media.”
- Hydro‐mechanical modeling of cohesive crack propagation in multiphase porous media using the extended finite element method (2013, methodology): “in [7] and [8], respectively, using the extended finite element method, which is now extended to three-phase porous media.”
- A two-scale model for fluid flow in an unsaturated porous medium with cohesive cracks (2008, unknown): “[21] the flow inside the evolving crack can also be in the tangential direction.”