• Active and integrated management of water resources throughout CO2 capture and sequestration operations 

      Court, Benjamin; Celia, Michael A.; Nordbotten, Jan Martin; Elliot, Thomas R. (Peer reviewed; Journal article, 2011)
      Most projected climate change mitigation strategies will require a significant expansion of CO2 Capture and Sequestration (CCS) in the next two decades. Four major categories of challenges are being actively researched: ...
    • Analysis of Control Volume Heterogeneous Multiscale Methods for Single Phase Flow in Porous Media 

      Alyaev, Sergey; Keilegarden, Eirik; Nordbotten, Jan Martin (Peer reviewed; Journal article, 2014)
      The standard approximation for the flow-pressure relationship in porous media is Darcy's law that was originally derived for infiltration of water in fine homogeneous sands. Ever since there have been numerous attempts to ...
    • Analytical solutions for aquifer thermal energy storage 

      Nordbotten, Jan Martin (Peer reviewed; Journal article, 2017-02)
      The concept of aquifer thermal energy storage involves injection of water at elevated temperature, and possibly nonambient salinity, into a host aquifer. We consider axisymmetric injection, wherein both the composition and ...
    • Auxiliary variables for 3D multiscale simulations in heterogeneous porous media 

      Sandvin, Andreas; Keilegavlen, Eirik; Nordbotten, Jan Martin (Journal article, 2013-04-01)
      The multiscale control-volume methods for solving problems involving flow in porous media have gained much interest during the last decade. Recasting these methods in an algebraic framework allows one to consider them as ...
    • Beskrivelse av skoleforsøket: Lagring av CO2 under havbunnen 

      Nordbotten, Jan Martin; Rygg, Kristin (Working paper, 2010-03-04)
    • Capturing the coupled hydro-mechanical processes occurring during CO2 injection – example from In Salah 

      Bjørnarå, Tore Ingvald; Mathias, Simon A.; Nordbotten, Jan Martin; Park, Joonsang; Bohloli, Bahman (Peer reviewed; Journal article, 2014)
      At In Salah, CO2 is removed from the production stream of several natural gas fields and re-injected into a deep and relatively thin saline formation, in three different locations. The observed deformation on the surface ...
    • Cell-centered finite volume discretizations for deformable porous media 

      Nordbotten, Jan Martin (Peer reviewed; Journal article, 2014-08-11)
      The development of cell-centered finite volume discretizations for deformation is motivated by the desire for a compatible approach with the discretization of fluid flow in deformable porous media. We express the conservation ...
    • Consistent MPFA Discretization for Flow in the Presence of Gravity 

      Starnoni, Michele; Berre, Inga; Keilegavlen, Eirik; Nordbotten, Jan Martin (Peer reviewed; Journal article, 2019)
      A standard practice used in the industry to discretizing the gravity term in the two‐phase Darcy flow equations is to apply an upwind strategy. In this paper, we show that this can give a persistent unphysical flux field ...
    • Convergence of a Cell-Centered Finite Volume Discretization for Linear Elasticity 

      Nordbotten, Jan Martin (Peer reviewed; Journal article, 2015-11-19)
      We show convergence of a cell-centered finite volume discretization for linear elasticity. The discretization, termed the MPSA method, was recently proposed in the context of geological applications, where cell-centered ...
    • A convergent mass conservative numerical scheme based on mixed finite elements for two-phase flow in porous media 

      Radu, Florin Adrian; Kumar, Kundan; Nordbotten, Jan Martin; Pop, Sorin Iuliu (Research report, 2017)
      In this work we present a mass conservative numerical scheme for two-phase flow in porous media. The model for flow consists on two fully coupled, non-linear equations: a degenerate parabolic equation and an elliptic ...
    • Detecting leakage of brine or CO2 through abandoned wells in a geological sequestration operation using pressure monitoring wells 

      Nogues, Juan P.; Nordbotten, Jan Martin; Celia, Michael A. (Peer reviewed; Journal article, 2011)
      For risk assessment, policy design and GHG emission accounting it is extremely important to know if any CO2 or brine has leaked from a geological sequestration (GS) operation. As such, it is important to understand if it ...
    • Domain decomposition preconditioning for non-linear elasticity problems 

      Keilegavlen, Eirik; Skogestad, Jan Ole; Nordbotten, Jan Martin (Conference object; Peer reviewed, 2014)
      We consider domain decomposition techniques for a non-linear elasticity problem. Our main focus is on non-linear preconditioning, realized in the framework of additive Schwarz preconditioned inexact Newton (ASPIN) methods. ...
    • Ecological and evolutionary dynamics of interconnectedness and modularity 

      Nordbotten, Jan Martin; Levin, Simon A.; Szathmáry, Eörs; Stenseth, Nils Christian (Peer reviewed; Journal article, 2018-01-23)
      In this contribution, we develop a theoretical framework for linking microprocesses (i.e., population dynamics and evolution through natural selection) with macrophenomena (such as interconnectedness and modularity within ...
    • An efficient software framework for performing industrial risk assessment of leakage for geological storage of CO2 

      Dobossy, Mark E.; Celia, Michael A.; Nordbotten, Jan Martin (Peer reviewed; Journal article, 2011)
      In response to anthropogenic CO2 emissions, geological storage has emerged as a practical and scalable bridge technology while renewables and other environmentally friendly energy production methods mature. While an ...
    • Efficient water table evolution discretization using domain transformation 

      Boon, Wietse; Balbarini, Nicola; Binning, Philip John; Nordbotten, Jan Martin (Peer reviewed; Journal article, 2017-02)
      Domain transformation methods are useful techniques for solving problems on non-stationary domains. In this work, we consider the evolution of the water table in an unconfined aquifer. This nonlinear, time-dependent problem ...
    • Field-case simulation of CO2-plume migration using vertical-equilibrium models 

      Nilsen, Halvor Møll; Herrera, Paulo; Ashraf, Seyed Meisam; Ligaard, Ingeborg S.; Iding, Martin; Hermanrud, Christian; Lie, Knut-Andreas; Nordbotten, Jan Martin; Dahle, Helge K.; Keilegavlen, Eirik (Peer reviewed; Journal article, 2011)
      When injected in deep saline aquifers, CO2 moves radially away from the injection well and progressively higher in the formation because of buoyancy forces. Analyzes have shown that after the injection period, CO2 will ...
    • Finite volume discretization for poroelastic media with fractures modeled by contact mechanics 

      Berge, Runar Lie; Berre, Inga; Keilegavlen, Eirik; Nordbotten, Jan Martin; Wohlmuth, Barbara (Peer reviewed; Journal article, 2020)
      A fractured poroelastic body is considered where the opening of the fractures is governed by a nonpenetration law, whereas slip is described by a Coulomb‐type friction law. This physical model results in a nonlinear ...
    • Finite volume hydromechanical simulation in porous media 

      Nordbotten, Jan Martin (Peer reviewed; Journal article, 2014-05-27)
      Cell-centered finite volume methods are prevailing in numerical simulation of flow in porous media. However, due to the lack of cell-centered finite volume methods for mechanics, coupled flow and deformation is usually ...
    • Finite volume methods for elasticity with weak symmetry 

      Keilegavlen, Eirik; Nordbotten, Jan Martin (Peer reviewed; Journal article, 2017-11)
      We introduce a new cell‐centered finite volume discretization for elasticity with weakly enforced symmetry of the stress tensor. The method is motivated by the need for robust discretization methods for deformation and ...
    • Fractal structures in freezing brine 

      Alyaev, Sergey; Keilegavlen, Eirik; Nordbotten, Jan Martin; Pop, Iuliu Sorin (Peer reviewed; Journal article, 2017-09)
      The process of initial ice formation in brine is a highly complex problem. In this paper, we propose a mathematical model that captures the dynamics of nucleation and development of ice inclusions in brine. The primary ...