• A Monte Carlo Algorithm for Immiscible Two-Phase Flow in Porous Media 

      Savani, Isha; Sinha, Santanu; Hansen, Alex; Bedeaux, Dick; Kjelstrup, Signe; Vassvik, Morten (Journal article; Peer reviewed, 2017)
      We present a Markov Chain Monte Carlo algorithm based on the Metropolis algorithm for simulation of the flow of two immiscible fluids in a porous medium under macroscopic steady-state conditions using a dynamical pore ...
    • Ensemble distribution for immiscible two-phase flow in porous media 

      Savani, Isha; Bedeaux, Dick; Kjelstrup, Signe; Vassvik, Morten; Sinha, Santanu; Hansen, Alex (Journal article, 2017)
      We construct an ensemble distribution to describe steady immiscible two-phase flow of two incompressible fluids in a porous medium. The system is found to be ergodic. The distribution is used to compute macroscopic flow ...
    • Parallel Instabilities in Two-Phase Flow in Porous Media 

      Vassvik, Morten (Master thesis, 2014)
      Two immiscible fluids flowing in parallel with respect to the interface separating them in a two-dimensional porous medium has been studied using a dynamic network model. Two immiscible fluids, one wetting and the other ...
    • Rheology of high-capillary number two-phase flow in porous media 

      Sinha, Santanu; Gjennestad, Magnus Aashammer; Vassvik, Morten; Winkler, Mathias; Hansen, Alex; Flekkøy, Eirik Grude (Journal article; Peer reviewed, 2019)
      Flow of immiscible fluids in porous media at high capillary numbers may be characterized by an effective viscosity. We demonstrate that the effective viscosity is well-described by the Lichtenecker-Rother equation. Depending ...
    • Stable and efficient time integration of a dynamic pore network model for two-phase flow in porous media 

      Gjennestad, Magnus Aashammer; Vassvik, Morten; Kjelstrup, Signe; Hansen, Alex (Journal article; Peer reviewed, 2018)
      We study three different time integration methods for a dynamic pore network model for immiscible two-phase flow in porous media. Considered are two explicit methods, the forward Euler and midpoint methods, and a new ...