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Lundheim, Elias; Sinha, Santanu; Hansen, Alex & Kjellstadli, Jonas Tøgersen
(2023).
Stress concentration in the local load sharing fiber bundle model.
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Hennig, Andreas; Lanza, Federico; Hansen, Alex; Talon, Laurent; Sinha, Santanu & Rosso, Alberto
(2023).
Effect of yield stress in a two phase pore network model.
Show summary
Non newtonian fluids in porous media flow offers complex interplays that are not fully understood. The Bingham rheology is an approximation of the rheology of a non-Newtonian fluid presenting yield stress, which are useful in several engineering applications, as reinforcement of soils by injection of slurries [1] and in the timely topic of fracking processes [2]. The subject is notoriously hard to study numerically, as we have a nonlinear rheology in a complex porous structure, but there has been recent advances in the field, for instance in characterizing a Darcy law [3]. This work aims to investigate the flow conditions of the Bingham body in complex geometries by using a Pore Network Model with a fairly novel numerical solver in the Augumented Lagrangian Method -- a method recently introduced by Talon and Hansen [4]. We are using the model to describe the qualitative behaviors of the yield stress effect, and have characterized a power law behavior that deviates from existing litterature, as found in [3] and [5].
References
[1] : Coussot, P.: Rheometry of pastes, suspensions, and granular materials: applications in industry and environment. John Wiley and Sons, New York, NY (2005)
[2] : Talon, L., Auradou, H., Hansen, A., 2014. Effective rheology of Bingham fluids in a rough channel. Frontiers in Physics 2. https://doi.org/10.3389/fphy.2014.00024
[3] : Liu, C., De Luca, A., Rosso, A., Talon, L., 2019. Darcy’s law for yield stress fluids.
Phys. Rev. Lett. 122, 245502. doi:10.1103/PhysRevLett.122.245502.
[4] : Talon, L., Hansen, A., 2020. Effective rheology of bi-viscous non-newtonian fluids in porous media. Frontiers in Physics 7. doi:10.3389/fphy.2019.00225.
[5] : Chen, M., Rossen, W., Yortsos, Y.C., 2005. The flow and displacement in porous media of fluids with yield stress. Chemical Engineering Science 60, 4183–4202. doi:https://doi.org/10.1016/j.ces.2005.02.054.
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Sinha, Santanu; Fyhn, Hursanay; Roy, Subhadeep; Meheust, Yves & Hansen, Alex
(2023).
Disorder induced non-linearity in the growth of viscous fingers.
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Lanza, Federico; Sinha, Santanu; Hansen, Alex; Rosso, Alberto & Talon, Laurent
(2023).
Two-phase yield stress flow in Pore Network Model.
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Lanza, Federico; Sinha, Santanu; Hansen, Alex; Rosso, Alberto & Talon, Laurent
(2023).
Two-phase non-linear flow in Pore Network Model.
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Fyhn, Hursanay; Sinha, Santanu & Hansen, Alex
(2023).
Effective rheology of immiscible two-phase flow in porous media consisting of random mixtures of grains having two types of wetting properties.
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Lanza, Federico; Hansen, Alex; Rosso, Alberto; Talon, Laurent & Sinha, Santanu
(2022).
Dynamical Pore-Network Modeling of Two-Phase Yield Stress Flow in Porous Media.
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Hansen, Alex; Sinha, Santanu; Talon, Laurent & Rosso, Alberto
(2022).
Dynamic Pore-Network Modeling of Two-Phase Yield Stress Flow in Porous Media.
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Sinha, Santanu; Roy, Subhadeep & Hansen, Alex
(2022).
Disorder and non-linearity in immiscible two-phase flow in porous media
.
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Sinha, Santanu
(2022).
Non-linearity in immiscible two-phase flow of Newtonian fluids
.
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Sinha, Santanu
(2022).
Disorder and non-linearity in immiscible two-phase flow of Newtonian fluids in porous media
.
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Fyhn, Hursanay; Sinha, Santanu & Hansen, Alex
(2022).
Rheology of Immiscible Two-Phase Flow in Porous Media with Dual-Wettability Grains.
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Cheon, Hyejeong; Wilhelmsen, Øivind; Fyhn, Hursanay; Hansen, Alex & Sinha, Santanu
(2022).
Steady-state two-phase flow of compressible and
incompressible fluids in capillary tube of varying radius.
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Hansen, Alex; Flekkøy, Eirik Grude; Sinha, Santanu & Slotte, Per Arne
(2022).
Jaynes Statistical Mechanics Applied to Multiphase Flow in Porous Media.
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Fyhn, Hursanay; Sinha, Santanu; Roy, Subhadeep & Hansen, Alex
(2021).
Rheology of two-phase flow in mixed-wet porous media: Dynamic network model and capillary fiber bundle results.
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Roy, Subhadeep; Sinha, Santanu & Hansen, Alex
(2021).
How does the power law dependency of flow rate on pressure gradient when viscous and capillary forces compete, scale with system size?
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Roy, Subhadeep; Pedersen, Håkon; Sinha, Santanu & Hansen, Alex
(2021).
From the non-linear Darcy law for immiscible two-phase flow in porous media to constitutive equations for each fluid species.
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Sinha, Santanu; Fyhn, Hursanay; Roy, Subhadeep; Meheust, Yves & Hansen, Alex
(2021).
Growth and upscaling of viscous fingers in immiscible two-phase flow in porous media.
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Cheon, Hyejeong; Sinha, Santanu; Fyhn, Hursanay; Roy, Subhadeep & Hansen, Alex
(2021).
Rheology of compressible and incompressible immiscible fluids in the capillary fiber bundle model.
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Sinha, Santanu; Gjennestad, Magnus Aashammer; Vassvik, Morten & Hansen, Alex
(2020).
An interface-tracked dynamic network simulator for two-phase flow in porous media.
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Roy, Subhadeep; Sinha, Santanu & Hansen, Alex
(2020).
Two-phase flow through a porous media: A study in the dynamic pore network model.
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Roy, Subhadeep; Sinha, Santanu & Hansen, Alex
(2019).
Effective rheology of two-phase flow in a porous media: The role of system size and system disorder.
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Roy, Subhadeep; Sinha, Santanu & Hansen, Alex
(2019).
Effective rheology of two-phase flow in porous media: dependence on system size and system disorder.
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Roy, Subhadeep; Hansen, Alex & Sinha, Santanu
(2019).
Effective rheology of two-phase flow in porous media: A study in capillary fiber bundle model.
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Sinha, Santanu; Gjennestad, Magnus Aashammer; Vassvik, Morten; Winkler, Mathias; Hansen, Alex & Flekkøy, Eirik Grude
(2019).
Effective Viscosity of Immiscible Two-phase Flow in Porous Media at High Capillary Number.
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Sinha, Santanu; Gjennestad, Magnus Aashammer; Vassvik, Morten; Winkler, Mathias; Hansen, Alex & Flekkøy, Eirik Grude
(2019).
Immiscible Two-phase Flow in Porous Media: Rheology at High Capillary Number.
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Roy, Subhadeep; Hansen, Alex & Sinha, Santanu
(2019).
Effective rheology of two-phase flow in porous media: Dependence on saturation and system disorder.
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Sinha, Santanu; Bender, Andrew T; Danczyk, Matthew; Keepseagle, Kayla; Prather, Cody A & Bray, Joshua M
[Show all 10 contributors for this article]
(2018).
Crossover from linear to non-linear rheological behavior of two-phase flow of Newtonian fluids in porous media.
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Sinha, Santanu & Hansen, Alex
(2018).
Improving the Monte Carlo Algorithm for Pore-network Simulations of Immiscible Two-Phase Flow in Porous Media.
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Hansen, Alex; Sinha, Santanu; Bedeaux, Dick; Kjelstrup, Signe; Gjennestad, Magnus Aashammer & Vassvik, Morten
(2018).
Relations between seepage velocities in immiscible two-phase flow in porous media.
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Winkler, Mathias; Gjennestad, Magnus Aashammer; Sinha, Santanu & Hansen, Alex
(2018).
Constitutive Relations for a New Theoretical Framework Describing 2-Phase-Flow in Porous Media.
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Hansen, Alex; Sinha, Santanu; Bedeaux, Dick; Kjelstrup, Signe; Savani, Isha & Vassvik, Morten
(2017).
Flow in porous materials - as seen from thermodynamics.
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Savani, Isha; Vassvik, Morten; Sinha, Santanu; Hansen, Alex; Bedeaux, Dick & Kjelstrup, Signe
(2015).
Two-phase flow in microporous materials: From local to global permeability.
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Hansen, Alex; Sinha, Santanu; Bedeaux, Dick; Kjelstrup, Signe; Gjennestad, Magnus Aashammer & Vassvik, Morten
(2017).
Relations between Seepage Velocities in Immiscible, Incompressible Two-Phase Flow in Porous Media,
Cornell University Library,.