• 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 ...
    • Crack localization and the interplay between stress enhancement and thermal noise 

      Sinha, Santanu; Roy, Subhadeep; Hansen, Alex (Peer reviewed; Journal article, 2021)
      We study the competition between thermal fluctuations and stress enhancement in the failure process of a disordered system by using a local load sharing fiber bundle model. The thermal noise is introduced by defining a ...
    • Dynamic Wettability Alteration in Immiscible Two-phase Flow in Porous Media: Effect on Transport Properties and Critical Slowing Down 

      Flovik, Vegard; Sinha, Santanu; Hansen, Alex (Journal article; Peer reviewed, 2015)
      The change in contact angles due to the injection of low salinity water or any other wettability altering agent in an oil-rich porous medium is modeled by a network of disordered pores transporting two immiscible fluids. ...
    • Effective rheology of two-phase flow in a capillary fiber bundle model 

      Roy, Subhadeep; Hansen, Alex; Sinha, Santanu (Journal article; Peer reviewed, 2019)
      We investigate the effective rheology of two-phase flow in a bundle of parallel capillary tubes carrying two immiscible fluids under an external pressure drop. The diameter of the tubes vary along the length which introduce ...
    • 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 ...
    • Flow-Area Relations in Immiscible Two-Phase Flow in Porous Media 

      Roy, Subhadeep; Sinha, Santanu; Hansen, Alex (Journal article; Peer reviewed, 2020)
      We present a theoretical framework for immiscible incompressible two-phase flow in homogeneous porous media that connects the distribution of local fluid velocities to the average seepage velocities. By dividing the pore ...
    • Fluid Meniscus Algorithms for Dynamic Pore-Network Modeling of Immiscible Two-Phase Flow in Porous Media 

      Sinha, Santanu; Gjennestad, Magnus Aashammer; Vassvik, Morten; Hansen, Alex (Peer reviewed; Journal article, 2021)
      We present in detail a set of algorithms for a dynamic pore-network model of immiscible two-phase flow in porous media to carry out fluid displacements in pores. The algorithms are universal for regular and irregular pore ...
    • 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 ...