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...
Main Authors: | , , , |
---|---|
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 |
_version_ | 1818347863510351872 |
---|---|
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. |
first_indexed | 2024-12-13T17:40:55Z |
format | Article |
id | doaj.art-a8cdacb19a2a4a4c9d4b6e8cf5ab5640 |
institution | Directory Open Access Journal |
issn | 2296-424X |
language | English |
last_indexed | 2024-12-13T17:40:55Z |
publishDate | 2021-03-01 |
publisher | Frontiers Media S.A. |
record_format | Article |
series | Frontiers in Physics |
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 |
work_keys_str_mv | AT santanusinha fluidmeniscusalgorithmsfordynamicporenetworkmodelingofimmiscibletwophaseflowinporousmedia AT santanusinha fluidmeniscusalgorithmsfordynamicporenetworkmodelingofimmiscibletwophaseflowinporousmedia AT magnusaagjennestad fluidmeniscusalgorithmsfordynamicporenetworkmodelingofimmiscibletwophaseflowinporousmedia AT mortenvassvik fluidmeniscusalgorithmsfordynamicporenetworkmodelingofimmiscibletwophaseflowinporousmedia AT alexhansen fluidmeniscusalgorithmsfordynamicporenetworkmodelingofimmiscibletwophaseflowinporousmedia AT alexhansen fluidmeniscusalgorithmsfordynamicporenetworkmodelingofimmiscibletwophaseflowinporousmedia |