222 citations · 937 across the 65 of their papers we have counts for
6 papers · 1 filter
Mixed-dimensional poromechanical models of fractured porous media
Wietse M. Boon, Jan M. Nordbotten
We combine classical continuum mechanics with the recently developed calculus for mixed-dimensional problems to obtain governing equations for flow in, and deformation of, fracture…
A Cahn-Hilliard-Biot system and its generalized gradient flow structure
Erlend Storvik, Jakub Wiktor Both, Jan Martin Nordbotten +1
In this work, we propose a new model for flow through deformable porous media, where the solid material has two phases with distinct material properties. The two phases of the poro…
Free energy diminishing discretization of Darcy-Forchheimer flow in poroelastic media
Jakub Wiktor Both, Jan Martin Nordbotten, Florin Adrian Radu
In this paper, we develop a discretization for the non-linear coupled model of classical Darcy-Forchheimer flow in deformable porous media, an extension of the quasi-static Biot eq…
Modeling the process of speciation using a multi-scale framework including error estimates
Mats K. Brun, Elyes Ahmed, Jan Martin Nordbotten +1
This paper concerns the modeling and numerical simulation of the process of speciation. In particular, given conditions for which one or more speciation events within an ecosystem…
Modelling and discretization of flow in porous media with thin, full-tensor permeability inclusions
Michele Starnoni, Inga Berre, Eirik Keilegavlen +1
When modelling fluid flow in fractured reservoirs, it is common to represent the fracturesas lower-dimensional inclusions embedded in the host medium. Existing discretizationsof fl…
A posteriori error estimates for hierarchical mixed-dimensional elliptic equations
Jhabriel Varela, Elyes Ahmed, Eirik Keilegavlen +2
Mixed-dimensional elliptic equations exhibiting a hierarchical structure are commonly used to model problems with high aspect ratio inclusions, such as flow in fractured porous med…