Fluid Meniscus Algorithms for Dynamic Pore-Network Modeling of Immiscible Two-Phase Flow in Porous Media

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 networks in two or three dimensions and can be applied to simulate both draina...

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Main Authors: Santanu Sinha, Magnus Aa. Gjennestad, Morten Vassvik, Alex Hansen
Format: Article
Language:English
Published: Frontiers Media S.A. 2021-03-01
Series:Frontiers in Physics
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/fphy.2020.548497/full
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author Santanu Sinha
Santanu Sinha
Magnus Aa. Gjennestad
Morten Vassvik
Alex Hansen
Alex Hansen
author_facet Santanu Sinha
Santanu Sinha
Magnus Aa. Gjennestad
Morten Vassvik
Alex Hansen
Alex Hansen
author_sort Santanu Sinha
collection DOAJ
description 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 networks in two or three dimensions and can be applied to simulate both drainage displacements and steady-state flow. They execute the mixing of incoming fluids at the network nodes, then distribute them to the outgoing links and perform the coalescence of bubbles. Implementing these algorithms in a dynamic pore-network model, we reproduce some of the fundamental results of transient and steady-state two-phase flow in porous media. For drainage displacements, we show that the model can reproduce the flow patterns corresponding to viscous fingering, capillary fingering and stable displacement by varying the capillary number and viscosity ratio. For steady-state flow, we verify non-linear rheological properties and transition to linear Darcy behavior while increasing the flow rate. Finally we verify the relations between seepage velocities of two-phase flow in porous media considering both disordered regular networks and irregular networks reconstructed from real samples.
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spelling doaj.art-a8cdacb19a2a4a4c9d4b6e8cf5ab56402022-12-21T23:36:44ZengFrontiers Media S.A.Frontiers in Physics2296-424X2021-03-01810.3389/fphy.2020.548497548497Fluid Meniscus Algorithms for Dynamic Pore-Network Modeling of Immiscible Two-Phase Flow in Porous MediaSantanu Sinha0Santanu Sinha1Magnus Aa. Gjennestad2Morten Vassvik3Alex Hansen4Alex Hansen5Beijing Computational Science Research Center, Beijing, ChinaPoreLab, Department of Physics, Norwegian University of Science and Technology (NTNU), Trondheim, NorwayPoreLab, Department of Physics, Norwegian University of Science and Technology (NTNU), Trondheim, NorwayPoreLab, Department of Physics, Norwegian University of Science and Technology (NTNU), Trondheim, NorwayPoreLab, Department of Physics, Norwegian University of Science and Technology (NTNU), Trondheim, NorwayBeijing Computational Science Research Center, Beijing, ChinaWe 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 networks in two or three dimensions and can be applied to simulate both drainage displacements and steady-state flow. They execute the mixing of incoming fluids at the network nodes, then distribute them to the outgoing links and perform the coalescence of bubbles. Implementing these algorithms in a dynamic pore-network model, we reproduce some of the fundamental results of transient and steady-state two-phase flow in porous media. For drainage displacements, we show that the model can reproduce the flow patterns corresponding to viscous fingering, capillary fingering and stable displacement by varying the capillary number and viscosity ratio. For steady-state flow, we verify non-linear rheological properties and transition to linear Darcy behavior while increasing the flow rate. Finally we verify the relations between seepage velocities of two-phase flow in porous media considering both disordered regular networks and irregular networks reconstructed from real samples.https://www.frontiersin.org/articles/10.3389/fphy.2020.548497/fullpore-network modelingtwo-phase flowporous mediainterface dynamicsnumerical simualtion
spellingShingle Santanu Sinha
Santanu Sinha
Magnus Aa. Gjennestad
Morten Vassvik
Alex Hansen
Alex Hansen
Fluid Meniscus Algorithms for Dynamic Pore-Network Modeling of Immiscible Two-Phase Flow in Porous Media
Frontiers in Physics
pore-network modeling
two-phase flow
porous media
interface dynamics
numerical simualtion
title Fluid Meniscus Algorithms for Dynamic Pore-Network Modeling of Immiscible Two-Phase Flow in Porous Media
title_full Fluid Meniscus Algorithms for Dynamic Pore-Network Modeling of Immiscible Two-Phase Flow in Porous Media
title_fullStr Fluid Meniscus Algorithms for Dynamic Pore-Network Modeling of Immiscible Two-Phase Flow in Porous Media
title_full_unstemmed Fluid Meniscus Algorithms for Dynamic Pore-Network Modeling of Immiscible Two-Phase Flow in Porous Media
title_short Fluid Meniscus Algorithms for Dynamic Pore-Network Modeling of Immiscible Two-Phase Flow in Porous Media
title_sort fluid meniscus algorithms for dynamic pore network modeling of immiscible two phase flow in porous media
topic pore-network modeling
two-phase flow
porous media
interface dynamics
numerical simualtion
url https://www.frontiersin.org/articles/10.3389/fphy.2020.548497/full
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