• An accelerated staggered scheme for variational phase-field models of brittle fracture 

      Storvik, Erlend; Both, Jakub Wiktor; Sargado, Juan Michael Uy Villanueva; Nordbotten, Jan Martin; Radu, Florin Adrian (Journal article; Peer reviewed, 2021)
      There is currently an increasing interest in developing efficient solvers for variational phase-field models of brittle fracture. The governing equations for this problem originate from a constrained minimization of a ...
    • A Cahn-Hilliard-Biot system and its generalized gradient flow structure 

      Storvik, Erlend; Both, Jakub Wiktor; Nordbotten, Jan Martin; Radu, Adrian Florin (Journal article; Peer reviewed, 2022)
      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 porous material evolve according to a generalized ...
    • DarSIA: An Open-Source Python Toolbox for Two-Scale Image Processing of Dynamics in Porous Media 

      Nordbotten, Jan Martin; Benali, Benyamine; Both, Jakub Wiktor; Brattekås, Bergit; Storvik, Erlend; Fernø, Martin (Journal article; Peer reviewed, 2023)
      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. This challenge is directly mirrored in image ...
    • Development of robust and efficient solution strategies for coupled problems 

      Storvik, Erlend (Doctoral thesis, 2022-10-10)
      Det er mange modeller i moderne vitenskap hvor sammenkoblingen mellom forskjellige fysiske prosesser er svært viktig. Disse finner man for eksempel i forbindelse med lagring av karbondioksid i undervannsreservoarer, flyt ...
    • The Fixed-Stress splitting scheme for Biot's equations as a modified Richardson iteration: Implications for optimal convergence 

      Storvik, Erlend; Both, Jakub; Nordbotten, Jan Martin; Radu, Florin Adrian (Journal article; Peer reviewed, 2021)
      The fixed-stress splitting scheme is a popular method for iteratively solving the Biot equations. The method successively solves the flow and mechanics subproblems while adding a stabilizing term to the flow equation, which ...
    • On the optimization of iterative schemes for solving non-linear and/or coupled PDEs 

      Storvik, Erlend (Master thesis, 2018-12-11)
      In this thesis we study the optimization of iterative schemes as both linearization methods, and as splitting methods for solving non-linear and coupled partial differential equations (PDEs). We consider two equations that ...
    • On the optimization of the fixed‐stress splitting for Biot's equations 

      Storvik, Erlend; Both, Jakub; Kumar, Kundan; Nordbotten, Jan Martin; Radu, Florin Adrian (Peer reviewed; Journal article, 2019)
      In this work, we are interested in efficiently solving the quasi‐static, linear Biot model for poroelasticity. We consider the fixed‐stress splitting scheme, which is a popular method for iteratively solving Biot's equations. ...
    • Room-Scale CO2 Injections in a Physical Reservoir Model with Faults 

      Fernø, Martin; Haugen, Malin; Eikehaug, Kristoffer; Folkvord, Olav Parelius; Benali, Benyamine; Both, Jakub Wiktor; Storvik, Erlend; Nixon, Casey William; Gawthrope, R.L.; Nordbotten, Jan Martin (Journal article; Peer reviewed, 2023)
      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 storage, including multiphase flows, capillary CO2 trapping, ...