82 citations · 160 across the 13 of their papers we have counts for
14 papers
On the convergence and efficiency of splitting schemes for the Cahn-Hilliard-Biot model
Cedric Riethmüller, Erlend Storvik
In this paper, we present a novel solution strategy for the Cahn-Hilliard-Biot model, a three-way coupled system that features the interplay of solid phase separation, fluid dynami…
Sharp-Interface Limit of the Cahn-Hilliard-Biot Equations
Erlend Storvik, Carina Bringedal
In this letter, we derive the sharp-interface limit of the Cahn-Hilliard-Biot equations using formal matched asymptotic expansions. We find that in each sub-domain, the quasi-stati…
Sequential solution strategies for the Cahn-Hilliard-Biot model
Erlend Storvik, Cedric Riethmüller, Jakub Wiktor Both +1
This paper presents a study of solution strategies for the Cahn-Hilliard-Biot equations, a complex mathematical model for understanding flow in deformable porous media with changin…
Well-posedness analysis of the Cahn-Hilliard-Biot model
Cedric Riethmüller, Erlend Storvik, Jakub Wiktor Both +1
We investigate the well-posedness of the recently proposed Cahn-Hilliard-Biot model. The model is a three-way coupled PDE of elliptic-parabolic nature, with several nonlinearities…
Physical variability in meter-scale laboratory CO injections in faulted geometries
Malin Haugen, Lluis Salo-Salgado, Kristoffer Eikehaug +7
Carbon, capture, and storage (CCS) is an important bridging technology to combat climate change in the transition towards net-zero. The FluidFlower concept has been developed to vi…
Room-scale CO2 injections in a physical reservoir model with faults
Martin A. Ferno, Malin Haugen, Kristoffer Eikehaug +7
We perform a series of repeated CO2 injections in a room-scale physical model of a faulted geological cross-section. Relevant parameters for subsurface carbon sequestration, includ…
DarSIA: An open-source Python toolbox for two-scale image processing of dynamics in porous media
Jan Martin Nordbotten, Benyamine Benali, Jakub Wiktor Both +3
Understanding porous media flow is inherently a multi-scale challenge, where at the core lies the aggregation of pore-level processes to a continuum, or Darcy-scale, description. T…
An adaptive solution strategy for Richards' equation
Jakob S. Stokke, Koondanibha Mitra, Erlend Storvik +2
Flow in variably saturated porous media is typically modelled by the Richards equation, a nonlinear elliptic-parabolic equation which is notoriously challenging to solve numericall…
Splitting Schemes for Coupled Differential Equations: Block Schur-Based Approaches and Partial Jacobi Approximation
Roberto Nuca, Erlend Storvik, Florin A. Radu +1
Coupled multi-physics problems are encountered in countless applications and pose significant numerical challenges. Although monolithic approaches offer possibly the best solution…
A robust solution strategy for the Cahn-Larché equations
Erlend Storvik, Jakub Wiktor Both, Jan Martin Nordbotten +1
In this paper we propose a solution strategy for the Cahn-Larché equations, which is a model for linearized elasticity in a medium with two elastic phases that evolve subject to a…
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…
An accelerated staggered scheme for phase-field modeling of brittle fracture
Erlend Storvik, Jakub Wiktor Both, Juan Michael Sargado +2
There is currently an increasing interest in developing efficient solvers for phase-field modeling of brittle fracture. The governing equations for this problem originate from a co…
The fixed-stress splitting scheme for Biot's equations as a modified Richardson iteration: Implications for optimal convergence
Erlend Storvik, Jakub Wiktor Both, Jan Martin Nordbotten +1
The fixed-stress splitting scheme is a popular method for iteratively solving the Biot equations. The method successively solves the flow and mechanic subproblems while adding a st…
On the optimization of the fixed-stress splitting for Biot's equations
Erlend Storvik, Jakub Wiktor Both, Kundan Kumar +2
In this work we are interested in effectively solving the quasi-static, linear Biot model for poromechanics. We consider the fixed-stress splitting scheme, which is a popular metho…