We study a finite element computational model for solving the coupled problem arising in the
interaction between a free fluid and a fluid in a poroelastic medium. The free fluid is …

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 …

We consider a model for fluid flow in a porous medium with a fracture. In this model, the
fracture is treated as an interface between subdomains, on which specific equations have to …

Accurate simulation of fluid flow and transport in fractured porous media is a key challenge
in subsurface reservoir engineering. Due to the high ratio between its length and width …

This article is concerned with the numerical discretization of a model for incompressible two-
phase flow in a porous medium with fractures. The model is a discrete fracture model in …

In this work, we consider a mathematical model for describing flow in an unsaturated porous
medium containing a fracture. Both the flow in the fracture as well as in the matrix blocks are …

We study the interaction between a poroelastic medium and a fracture filled with fluid. The
flow in the fracture is described by the Brinkman equations for an incompressible fluid and …

A new augmented method is proposed for elliptic interface problems with a piecewise
variable coefficient that has a finite jump across a smooth interface. The main motivation is to …

A block-centered finite difference method is proposed for solving an unsteady asymptotic
coupled model, in which the flow is governed by Darcy's law both in the one-dimensional …

For a fully-coupled Darcy–Stokes system describing the exchange of fluid and stress
balance across the interface between a saturated porous medium and an open very narrow …