Browsing Institutt for kjemi by Author "Hansen, Alex"
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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 ... -
Anomalous diffusion in systems with concentration-dependent diffusivity: exact solutions and particle simulations
Hansen, Alex; Flekkøy, Eirik Grude; Baldelli, Beatrice (Journal article; Peer reviewed, 2020)We explore the anomalous diffusion that may arise as a result of a concentration dependent diffusivity. The diffusivity is taken to be a power law in the concentration, and from exact analytical solutions we show that the ... -
Burst Dynamics, Upscaling and Dissipation of Slow Drainage in Porous Media
Måløy, Knut Jørgen; Moura, Marcel; Hansen, Alex; Flekkøy, Eirik Grude; Toussaint, Renaud (Peer reviewed; Journal article, 2021)We present a theoretical and experimental investigation of drainage in porous media. The study is limited to stabilized fluid fronts at moderate injection rates, but it takes into account capillary, viscous, and gravitational ... -
Hyperballistic Superdiffusion and Explosive Solutions to the Non-Linear Diffusion Equation
Flekkøy, Eirik Grude; Hansen, Alex; Baldelli, Beatrice (Peer reviewed; Journal article, 2021)By means of a particle model that includes interactions only via the local particle concentration, we show that hyperballistic diffusion may result. This is done by finding the exact solution of the corresponding non-linear ... -
Non-isothermal transport of multi-phase fluids in porous media. Constitutive equations
Kjelstrup, Signe; Bedeaux, Dick; Hansen, Alex; Hafskjold, Bjørn; Galteland, Olav (Journal article; Peer reviewed, 2019)We define a representative elementary volume of a porous medium in terms of lumped extensive variables, including properties of homogeneous phases, interfaces, and contact lines. Using the grand potential, we define the ... -
Non-isothermal transport of multi-phase fluids in porous media; The entropy production
Kjelstrup, Signe; Bedeaux, Dick; Hansen, Alex; Hafskjold, Bjørn; Galteland, Olav (Journal article; Peer reviewed, 2018)We derive the entropy production for transport of multi-phase fluids in a non-deformable, porous medium exposed to differences in pressure, temperature, and chemical potentials. Thermodynamic extensive variables on the ... -
Onsager-symmetry obeyed in athermal mesoscopic systems: Two-phase flow in porous media
Winkler, Mathias; Gjennestad, Magnus Aashammer; Bedeaux, Dick; Kjelstrup, Signe; Cabriolu, Raffaela; Hansen, Alex (Peer reviewed; Journal article, 2020)We compute the fluid flow time correlation functions of incompressible, immiscible two-phase flow in porous media using a 2D network model. Given a properly chosen representative elementary volume, the flow rate distributions ... -
Steady-State Two-Phase Flow of Compressible and Incompressible Fluids in a Capillary Tube of Varying Radius
Cheon, Hyejeong; Fyhn, Hursanay; Hansen, Alex; Wilhelmsen, Øivind; Sinha, Santanu (Peer reviewed; Journal article, 2023)We study immiscible two-phase flow of a compressible and an incompressible fluid inside a capillary tube of varying radius under steady-state conditions. The incompressible fluid is Newtonian and the compressible fluid is ...