355 citations · 2.6k across the 109 of their papers we have counts for
29 papers · 1 filter
Burst dynamics, up-scaling and dissipation of slow drainage in porous media
Knut Jørgen Måløy, Marcel Moura, Alex Hansen +2
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…
The Co-Moving Velocity in Immiscible Two-Phase Flow in Porous Media
Subhadeep Roy, Håkon Pedersen, Santanu Sinha +1
We present a continuum (i.e., an effective) description of immiscible two-phase flow in porous media characterized by two fields, the pressure and the saturation. Gradients in thes…
Non-Newtonian rheology in a capillary tube with varying radius
Federico Lanza, Alex Hansen, Alberto Rosso +1
The flow through a capillary tube with non-constant radius and where bubbles of yield stress fluid are injected is strongly non-linear. In particular below a finite yield pressure…
Role of pore-size distribution on effective rheology of two-phase flow in porous media
Subhadeep Roy, Santanu Sinha, Alex Hansen
The flow of immiscible fluids inside a porous medium shows non-linearity in the form of a power law in the rheological properties of the fluids under steady state flow conditions.…
Rheology of immiscible two-phase flow in mixed wet porous media: Dynamic pore network model and capillary fiber bundle model results
Hursanay Fyhn, Santanu Sinha, Subhadeep Roy +1
Immiscible two-phase flow in porous media with mixed wet conditions was examined using a capillary fiber bundle model, which is analytically solvable, and a dynamic pore network mo…
Onsager-Symmetry Obeyed in Athermal Mesoscopic Systems: Two-Phase Flow in Porous Media
Mathias Winkler, Magnus Aa. Gjennestad, Dick Bedeaux +3
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 e…
Immiscible two-phase flow in porous media: Effective rheology in the continuum limit
Subhadeep Roy, Santanu Sinha, Alex Hansen
It is becoming increasingly clear that there is a regime in immiscible two-phase flow in porous media where the flow rate depends of the pressure drop as a power law with exponent…
Flow-Area Relations in Immiscible Two-Phase Flow in Porous Media
Subhadeep Roy, Santanu Sinha, Alex Hansen
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…
Pore network modeling of the effects of viscosity ratio and pressure gradient on steady-state incompressible two-phase flow in porous media
Magnus Aa. Gjennestad, Mathias Winkler, Alex Hansen
We perform more than 6000 steady-state simulations with a dynamic pore network model, corresponding to a large span in viscosity ratios and capillary numbers. From these simulation…
A Dynamic Network Simulator for Immiscible Two-Phase Flow in Porous Media
Santanu Sinha, Magnus Aa. Gjennestad, Morten Vassvik +1
We present in detail a set of algorithms to carry out fluid displacements in a dynamic pore-network model of immiscible two-phase flow in porous media. The algorithms are general a…
Effective Rheology of Bi-Viscous Non-Newtonian Fluids in Porous Media
Laurent Talon, Alex Hansen
We model the flow of a bi-viscous non-Newtonian fluid in a porous medium by a square lattice where the links obey a piece-wise linear constitutive equation. We find numerically tha…
Effective rheology of two-phase flow in a capillary fiber bundle model
Subhadeep Roy, Alex Hansen, Santanu Sinha
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 each…
Non-isothermal transport of multi-phase fluids in porous media. Constitutive equations
Signe Kjelstrup, Dick Bedeaux, Alex Hansen +2
We develop constitutive equations for multi-component, multi-phase, macro-scale flow in a porous medium exposed to temperature-, composition-, and pressure -gradients. The porous m…
Non-isothermal transport of multi-phase fluids in porous media. The entropy production
Signe Kjelstrup, Dick Bedeaux, Alex Hansen +2
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. Th…
Rheology of High-Capillary Number Flow in Porous Media
Santanu Sinha, Magnus Aa. Gjennestad, Morten Vassvik +3
Immiscible fluids flowing at high capillary numbers in porous media may be characterized by an effective viscosity. We demonstrate that the effective viscosity is well described by…
Relations between Seepage Velocities in Immiscible, Incompressible Two-Phase Flow in Porous Media
Alex Hansen, Santanu Sinha, Dick Bedeaux +3
Based on thermodynamic considerations we derive a set of equations relating the seepage velocities of the fluid components in immiscible and incompressible two-phase flow in porous…
Effective Rheology of Two-phase Flow in Three-Dimensional Porous Media: Experiment and Simulation
Santanu Sinha, Andrew T. Bender, Matthew Danczyk +7
We present an experimental and numerical study of immiscible two-phase flow in 3-dimensional (3D) porous media to find the relationship between the volumetric flow rate () and t…
A Monte Carlo Algorithm for Immiscible Two-Phase Flow in Porous Media
Isha Savani, Santanu Sinha, Alex Hansen +3
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-st…
Ensemble Distribution for Immiscible Two-Phase Flow in Porous Media
Isha Savani, Dick Bedeaux, Signe Kjelstrup +3
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 distribut…
A new set of equations describing immiscible two-phase flow in isotropic porous media
Alex Hansen, Santanu Sinha, Dick Bedeaux +3
Based on non-equilibrium thermodynamics we derive a set of general equations relating the partial volumetric flow rates to each other and to the total volumetric flow rate in immis…
Dynamic wettability alteration in immiscible two-phase flow in porous media: Effect on transport properties and critical slowing down
Vegard Flovik, Santanu Sinha, Alex Hansen
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 model of disord…
History-independence of steady-state in simultaneous two-phase flow through porous media
Marion Erpelding, Santanu Sinha, Ken Tore Tallakstad +3
It is well known that the transient behavior during drainage or imbibition in multiphase flow in porous media strongly depends on the history and initial condition of the system. H…
Effective Rheology of Bubbles Moving in a Capillary Tube
Santanu Sinha, Alex Hansen, Dick Bedeaux +1
We calculate the average volumetric flux versus pressure drop of bubbles moving in a single capillary tube with varying diameter, finding a square-root relation from mapping the fl…
Local Wettability Reversal during Steady-State Two-Phase Flow in Porous Media
Santanu Sinha, Morten Grøva, Torgeir Bryge Ødegården +2
We study the effect of local wettability reversal on remobilizing immobile fluid clusters in steady-state two-phase flow in porous media. We consider a two dimensional network mode…