• Combining the modified discrete element method with the virtual element method for fracturing of porous media 

      Nilsen, Halvor Møll; Larsen, Idar; Raynaud, Xavier (Journal article; Peer reviewed, 2017)
      Simulation of fracturing processes in porous rocks can be divided into two main branches: (i) modeling the rock as a continuum enhanced with special features to account for fractures or (ii) modeling the rock by a discrete ...
    • Comparison between cell-centered and nodal-based discretization schemes for linear elasticity 

      Nilsen, Halvor Møll; Nordbotten, Jan Martin; Raynaud, Xavier (Journal article; Peer reviewed, 2017)
      In this paper, we study newly developed methods for linear elasticity on polyhedral meshes. Our emphasis is on applications of the methods to geological models. Models of subsurface, and in particular sedimentary rocks, ...
    • A Comparison of Consistent Discretizations for Elliptic Problems on Polyhedral Grids 

      Klemetsdal, Øystein Strengehagen; Møyner, Olav; Raynaud, Xavier; Lie, Knut-Andreas (Chapter, 2020)
      In this work, we review a set of consistent discretizations for second-order elliptic equations, and compare and contrast them with respect to accuracy, monotonicity, and factors affecting their computational cost (degrees ...
    • Fully implicit higher-order schemes applied to polymer flooding 

      Mykkeltvedt, Trine Solberg; Raynaud, Xavier; Lie, Knut-Andreas (Journal article; Peer reviewed, 2017)
      In water-based EOR methods, active chemical or biological substances are added to modify the physical properties of the fluids or/and the porous media at the interface between oil and water. The resulting displacement ...
    • Streamline simulation of a reactive advective flow with discontinuous flux function 

      Zefreh, Masoud Ghaderi; Nilsen, Halvor Møll; Lie, Knut-Andreas; Raynaud, Xavier; Doster, Florian (Journal article; Peer reviewed, 2018)
      Reactive transport in porous media with dissolution and precipitation has important applications in oil and gas industry and ground-water remediation. In this work, we present a simulation method for reactive flow in porous ...
    • The single-cell transport problem for two-phase flow with polymer 

      Raynaud, Xavier; Lie, Knut-Andreas; Nilsen, Halvor Møll; Rasmussen, Atgeirr Flø (Journal article; Peer reviewed, 2016)
      Polymer injection is a widespread strategy in enhanced oil recovery. Polymer increases the water viscosity and creates a more favorable mobility ratio between the injected water and the displaced oil. The computational ...
    • Virtual element method for geomechanical simulations of reservoir models 

      Andersen, Odd; Nilsen, Halvor Møll; Raynaud, Xavier (Journal article; Peer reviewed, 2017)
      In this paper, we study the use of virtual element method (VEM) for geomechanics. Our emphasis is on applications to reservoir simulations. The physical processes behind the formation of the reservoirs, such as sedimentation, ...