• An Approach for Investigation of Geochemical Rock-Fluid Interactions 

      Bringedal, Carina; Berre, Inga; Radu, Florin A. (Conference object, 2014)
      Geochemistry has a substantial impact in exploiting of geothermal systems. When water is injected in a geothermal reservoir, the injected water and in-situ brine have different temperatures and chemical compositions and ...
    • Co2 trapping in sloping aquafiers: High resolution numerical simulations 

      Elenius, Maria; Tchelep, Hamdi A.; Johannsen, Klaus (Conference object, 2010)
    • 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. ...
    • Electrical conductivity of fractured media: A computational study of the self-consistent method 

      Sævik, Pål Næverlid; Berre, Inga; Jakobsen, Morten; Lien, Martha (Conference object; Peer reviewed, 2012)
      Effective medium theory can be used to link conductivity estimation methods with prior knowledge about the distribution of fractures in the investigated geological structure. In the literature, little work has been presented ...
    • ENUMATH 2017: Book of Abstracts 

      Unknown author (Conference object; Peer reviewed, 2017)
    • Higher order space-time elements for a non-linear Biot model 

      Borregales Reveron, Manuel Antonio; Radu, Florin Adrian (Lecture Notes in Computational Science and Engineering ; 126, Conference object; Peer reviewed; Book, 2019)
      In this work, we consider a non-linear extension of the linear, quasi-static Biot’s model. Precisely, we assume that the volumetric strain and the fluid compressibility are non-linear functions. We propose a fully discrete ...
    • Iterative Linearisation Schemes for Doubly Degenerate Parabolic Equations 

      Both, Jakub; Kumar, Kundan; Nordbotten, Jan Martin; Pop, Iuliu Sorin; Radu, Florin Adrian (Conference object; Peer reviewed; Journal article, 2019)
      Mathematical models for flow and reactive transport in porous media often involve non-linear, degenerate parabolic equations. Their solutions have low regularity, and therefore lower order schemes are used for the numerical ...
    • Modelling Geomechanical Impact of CO2 Injection Using Precomputed Response Functions 

      Andersen, Odd; Nilsen, Halvor Møll; Gasda, Sarah (Conference object; Peer reviewed, 2016)
      When injecting CO2 or other fluids into a geological formation, pressure plays an important role both as a driver of flow and as a risk factor for mechanical integrity. The full effect of geomechanics on aquifer flow can ...
    • Modelling of the Shear Dilation Based Hydraulic Stimulation in Enhanced Geothermal Systems Considering Fractures in Different Scales 

      Ucar, Eren; Berre, Inga; Keilegavlen, Eirik (Conference object; Peer reviewed, 2016-09)
      A numerical approach for modelling of shear dilation of existing fractures in hydraulic stimulation of geothermal reservoirs at low elevated pressures is presented. The fractured rock in the reservoir is modelled as a ...
    • Multiscale Simulation of Non-Darcy Flows 

      Alyaev, Sergey; Keilegarden, Eirik; Nordbotten, Jan Martin (Conference object; Peer reviewed, 2012-06)
      In this work we present control volume multiscale methods which address problems on the interaction between pore scale and Darcy scale. For the case when linear equations govern the ow on the pore scale our solution converges ...
    • On the relationship between multiple porosity models and continuous time random walk 

      Nordbotten, Jan Martin; Vasilyev, Leonid (Conference object; Peer reviewed, 2010)
      We derive a multiple porosity model based on the continuous time random walk model (CTRW). In particular, we show how the parameters of the multiple porosity models relate to the transition probability function which is ...
    • On the shoaling of solitary waves in the KdV equation 

      Khorsand, Zahra; Kalisch, Henrik (Conference object; Peer reviewed, 2014)
      The waveheight change in surface waves with a sufficiently slow variation in depth is examined. Using a new formulation of the energy flux associated to waves modeled by the Korteweg-de Vries equation, a system of three ...
    • Pre- and post-lie algebras: The algebro-geometric view 

      Fløystad, Gunnar; Munthe-Kaas, Hans (Conference object; Peer reviewed; Journal article, 2019)
      We relate composition and substitution in pre- and post-Lie algebras to algebraic geometry. The Connes-Kreimer Hopf algebras and MKW Hopf algebras are then coordinate rings of the infinite-dimensional affine varieties ...
    • Reexamining CO2 Storage Capacity and Utilization of the Utsira Formation 

      Andersen, Odd; Nilsen, Halvor Møll; Lie, Knut-Andreas (Conference object, 2014)
      In this work we provide estimates of CO2 storage capacity of the Utsira Formation using the recently provided datasets from the Norwegian Petroleum Directorate, taking CO2 density variation into account. We also investigate ...
    • Sparse-Data Based 3D Surface Reconstruction for Cartoon and Map 

      Wu, Bin; Rahman, Talal; Tai, Xue-Cheng (Conference object, 2018)
      A model combining the first-order and the second-order variational regularizations for the purpose of 3D surface reconstruction based on 2D sparse data is proposed. The model includes a hybrid fidelity constraint which ...
    • A unified multilevel framework of upscaling and domain decomposition 

      Sandvin, Andreas; Nordbotten, Jan Martin; Aavatsmark, Ivar (Conference object, 2010)
      We consider multiscale preconditioners for a class of mass-conservative domain-decomposition (MCDD) methods. For the application of reservoir simulation, we need to solve large linear systems, arising from finite-volume ...