355 citations · 2.6k across the 109 of their papers we have counts for
9 papers · 1 filter
Anomalous Diffusion in Systems with Concentration-Dependent Diffusivity
Alex Hansen, Eirik G. Flekkøy
We show analytically that there is anomalous diffusion when the diffusion constant depends on the concentration as a power law with a positive exponent or a negative exponent with…
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…
Can Local Stress Enhancement Induce Stability in Fracture Processes? Part II: The Shielding Effect
Jonas T. Kjellstadli, Eivind Bering, Srutarshi Pradhan +1
We use the local load sharing fiber bundle model to demonstrate a shielding effect where strong fibers protect weaker ones. This effect exists due to the local stress enhancement a…
Variation of elastic energy shows reliable signal of upcoming catastrophic failure
Srutarshi Pradhan, Jonas T. Kjellstadli, Alex Hansen
We consider the Equal-Load-Sharing Fiber Bundle Model as a model for composite materials under stress and derive elastic energy and damage energy as a function of strain. With grad…
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…