Browsing Bergen Open Research Archive by Author "Both, Jakub Wiktor"

Now showing items 1-11 of 11

    • 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 ...

    • Efficient Solvers for Nonstandard Models for Flow and Transport in Unsaturated Porous Media 

      Illiano, Davide; Both, Jakub Wiktor; Pop, Iuliu Sorin; Radu, Florin Adrian (Journal article; Peer reviewed, 2022)
      We study several iterative methods for fully coupled flow and reactive transport in porous media. The resulting mathematical model is a coupled, nonlinear evolution system. The flow model component builds on the Richards ...

    • The FluidFlower Validation Benchmark Study for the Storage of CO2 

      Flemisch, Bernd; Nordbotten, Jan Martin; Fernø, Martin; Juanes, Ruben; Both, Jakub Wiktor; Class, Holger; Delshad, Mojdeh; Doster, Florian; Ennis-King, Jonathan; Franc, Jacques; Geiger, Sebastian; Gläser, Dennis; Green, Christopher; Gunning, James; Hajibeygi, Hadi; Jackson, Samuel J.; Jammoul, Mohamad; Karra, Satish; Li, Jiawei; Matthäi, Stephan K.; Miller, Terry; Shao, Qi; Spurin, Catherine; Stauffer, Philip; Tchelepi, Hamdi; Tian, Xiaoming; Viswanathan, Hari; Voskov, Denis; Wang, Yuhang; Wapperom, Michiel; Wheeler, Mary F.; Wilkins, Andrew; Youssef, AbdAllah A.; Zhang, Ziliang (Journal article; Peer reviewed, 2023)
      Successful deployment of geological carbon storage (GCS) requires an extensive use of reservoir simulators for screening, ranking and optimization of storage sites. However, the time scales of GCS are such that no sufficient ...

    • Global existence of weak solutions to unsaturated poroelasticity 

      Both, Jakub Wiktor; Pop, Iuliu Sorin; Yotov, Ivan (Journal article; Peer reviewed, 2021)
      We study unsaturated poroelasticity, i.e., coupled hydro-mechanical processes in variably saturated porous media, here modeled by a non-linear extension of Biot’s well-known quasi-static consolidation model. The coupled ...

    • Iterative splitting schemes for a soft material poromechanics model 

      Both, Jakub Wiktor; Barnafi, Nicolas; Radu, Florin Adrian; Zunino, Paolo; Quarteroni, Alfio (Journal article; Peer reviewed, 2021)
      We address numerical solvers for a poromechanics model particularly adapted for soft materials, as it generally respects thermodynamics principles and energy balance. Considering the multi-physics nature of the problem, ...

    • Mathematical and Numerical Analysis of Flow in Deformable Porous Media 

      Both, Jakub Wiktor (Doctoral thesis, 2019-11-27)
      This dissertation focuses on the mathematical analysis and numerical solution of coupled deformation- and flow-related processes in porous media, modeled by the theory of poro-elasticity. It comprises contributions within ...

    • On the rate of convergence of alternating minimization for non-smooth non-strongly convex optimization in Banach spaces 

      Both, Jakub Wiktor (Journal article; Peer reviewed, 2022)
      In this paper, the convergence of the fundamental alternating minimization is established for non-smooth non-strongly convex optimization problems in Banach spaces, and novel rates of convergence are provided. As objective ...

    • PoroTwin: A Digital Twin for a FluidFlower Rig 

      Keilegavlen, Eirik; Fonn, Eivind; Johannessen, Kjetil Andre; Eikehaug, Kristoffer; Both, Jakub Wiktor; Fernø, Martin; Kvamsdal, Trond; Rasheed, Adil; Nordbotten, Jan Martin (Journal article; Peer reviewed, 2023)
      We present a framework for integrated experiments and simulations of tracer transport in heterogeneous porous media using digital twin technology. The physical asset in our setup is a meter-scale FluidFlower rig. The digital ...

    • 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, ...