Modeling Fractures and Barriers as Interfaces for Flow in Porous Media

By Vincent Martin, J. Jaffré, J. Roberts. SIAM Journal on Scientific Computing, 2005

550 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/8d527e5a97e3cee486435bb623cd4e6e54d56312

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

Convergence of iterative coupling of geomechanics with flow in a fractured poroelastic medium (2016, methodology): “This equation is a simplified version of the lubrication equation used to model fracture flow, for example in [17], and is closer in spirit to the model in [22].”
MIMETIC FINITE DIFFERENCE APPROXIMATION OF FLOWS IN FRACTURED POROUS MEDIA (2016, background): “Following [48], let ξ ∈ [0, 1], then the coupling conditions are given by 2ξ − 1 4 ηΓ[[u · nΓ]] = {p} − pΓ on Γ, (6a) ηΓ {u · nΓ} = [[p]] on Γ, (6b)”
Analysis of the coupled Navier–Stokes/Biot problem (2017, background): “In geosciences, aquifers and oil/gas reservoirs are porous and deformable affecting groundwater and oil/gas flow, respectively [25, 23, 18].”
A mixed hybrid Mortar method for solving flow in discrete fracture networks (2010, background): “See [10] for equations in case of a non null longitudinal flux in the intersections.”
A reduced model for Darcy’s problem in networks of fractures (2014, methodology): “The new coupling conditions allow for pressure and velocity jumps at the intersection, similarly to the conditions derived in [27] for the matrix-fracture system.”
Dimensionally reduced flow models in fractured porous media: crossings and boundaries (2015, background): “A thorough and detailed derivation for such a system is carried out in [20].”
A simple embedded discrete fracture–matrix model for a coupled flow and transport problem in porous media (2018, unknown): “This model was later generalized by [16] and [30] to also handle the low permeability case, where a Robin type condition on the pressure at the interface is enforced.”
A mixed finite element method for Darcy flow in fractured porous media with non-matching grids (2012, methodology): “As already observed (without convergence analysis) in [15] in the case of matching meshes, this implies exchanging data on the “immersed” interface Γ and building suitable Steklov-Poincaré operators acting on interface variables.”
Vertex Approximate Gradient Scheme for Hybrid Dimensional Two-Phase Darcy Flows in Fractured Porous Media (2014, background): “Note that it does not cover the case of fractures acting as barriers for which the pressure is discontinuous at the matrix fracture interfaces (see [3, 18, 26] for discontinuous pressure models).”