skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

This content will become publicly available on December 20, 2020

Title: Inertial Effects During the Process of Supercritical CO 2 Displacing Brine in a Sandstone: Lattice Boltzmann Simulations Based on the Continuum-Surface-Force and Geometrical Wetting Models

Abstract

Inertial effects during the process of supercritical CO 2 displacing brine in porous media may not be negligible according to recent studies. Capturing the inertial effects of the physical CO 2-brine system imposes a requirement on the grid resolution and viscosity to surface tension ratio for pore-scale simulations, which some commonly used simulators may not be able to meet. To fulfill the parameter requirement, we combine the continuum-surface-force based color-gradient lattice Boltzmann (LB) multiphase model and the geometrical wetting model and extend the model to 3D under the multiple-relaxation-time framework. We validate the model via simple benchmarks which show significant improvement over the traditional models. Furthermore, we perform 3D drainage simulations in a heterogeneous micromodel where the simulation result agrees well with experimental data, while our previous work fails to reproduce certain displacement patterns in the experiment due to the use of a traditional LB model that cannot fulfill the parameter requirement. Finally, we perform high-fidelity 3D drainage simulations to study the inertial effects in a Bentheimer sandstone sample. These findings show that stronger inertial effects generally help develop more CO 2 flow pathways for the same capillary number which results in higher CO 2 saturation, consistent with the micromodelmore » results. The phenomena can be found in both low and high capillary number cases, indicating that the inertial effects are not dependent on the mean velocity. In addition, the change of the invasion patterns is not proportional to the change of inertial effects, thus exhibiting threshold behavior.« less

Authors:
 [1];  [2];  [1];  [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Univ. of Illinois at Urbana-Champaign, IL (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1595651
Alternate Identifier(s):
OSTI ID: 1580299
Report Number(s):
LA-UR-19-23236
Journal ID: ISSN 0043-1397
Grant/Contract Number:  
89233218CNA000001; SC0C12504
Resource Type:
Accepted Manuscript
Journal Name:
Water Resources Research
Additional Journal Information:
Journal Volume: 55; Journal Issue: 12; Journal ID: ISSN 0043-1397
Publisher:
American Geophysical Union (AGU)
Country of Publication:
United States
Language:
English
Subject:
58 GEOSCIENCES; inertial effects; lattice Boltzmann method; geometrical wetting model; \special t4ht@.CO2 sequestration; pore‐scale simulation; continuum‐surface‐force model

Citation Formats

Chen, Yu, Valocchi, Albert J., Kang, Qinjun, and Viswanathan, Hari S. Inertial Effects During the Process of Supercritical CO2 Displacing Brine in a Sandstone: Lattice Boltzmann Simulations Based on the Continuum-Surface-Force and Geometrical Wetting Models. United States: N. p., 2019. Web. doi:10.1029/2019WR025746.
Chen, Yu, Valocchi, Albert J., Kang, Qinjun, & Viswanathan, Hari S. Inertial Effects During the Process of Supercritical CO2 Displacing Brine in a Sandstone: Lattice Boltzmann Simulations Based on the Continuum-Surface-Force and Geometrical Wetting Models. United States. doi:10.1029/2019WR025746.
Chen, Yu, Valocchi, Albert J., Kang, Qinjun, and Viswanathan, Hari S. Fri . "Inertial Effects During the Process of Supercritical CO2 Displacing Brine in a Sandstone: Lattice Boltzmann Simulations Based on the Continuum-Surface-Force and Geometrical Wetting Models". United States. doi:10.1029/2019WR025746.
@article{osti_1595651,
title = {Inertial Effects During the Process of Supercritical CO2 Displacing Brine in a Sandstone: Lattice Boltzmann Simulations Based on the Continuum-Surface-Force and Geometrical Wetting Models},
author = {Chen, Yu and Valocchi, Albert J. and Kang, Qinjun and Viswanathan, Hari S.},
abstractNote = {Inertial effects during the process of supercritical CO2 displacing brine in porous media may not be negligible according to recent studies. Capturing the inertial effects of the physical CO2-brine system imposes a requirement on the grid resolution and viscosity to surface tension ratio for pore-scale simulations, which some commonly used simulators may not be able to meet. To fulfill the parameter requirement, we combine the continuum-surface-force based color-gradient lattice Boltzmann (LB) multiphase model and the geometrical wetting model and extend the model to 3D under the multiple-relaxation-time framework. We validate the model via simple benchmarks which show significant improvement over the traditional models. Furthermore, we perform 3D drainage simulations in a heterogeneous micromodel where the simulation result agrees well with experimental data, while our previous work fails to reproduce certain displacement patterns in the experiment due to the use of a traditional LB model that cannot fulfill the parameter requirement. Finally, we perform high-fidelity 3D drainage simulations to study the inertial effects in a Bentheimer sandstone sample. These findings show that stronger inertial effects generally help develop more CO2 flow pathways for the same capillary number which results in higher CO2 saturation, consistent with the micromodel results. The phenomena can be found in both low and high capillary number cases, indicating that the inertial effects are not dependent on the mean velocity. In addition, the change of the invasion patterns is not proportional to the change of inertial effects, thus exhibiting threshold behavior.},
doi = {10.1029/2019WR025746},
journal = {Water Resources Research},
number = 12,
volume = 55,
place = {United States},
year = {2019},
month = {12}
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on December 20, 2020
Publisher's Version of Record

Save / Share:

Works referenced in this record:

Modelling two-phase flow in porous media at the pore scale using the volume-of-fluid method
journal, July 2012

  • Raeini, Ali Q.; Blunt, Martin J.; Bijeljic, Branko
  • Journal of Computational Physics, Vol. 231, Issue 17
  • DOI: 10.1016/j.jcp.2012.04.011

TeraFLOP computing on a desktop PC with GPUs for 3D CFD
journal, August 2008

  • Tölke, J.; Krafczyk, M.
  • International Journal of Computational Fluid Dynamics, Vol. 22, Issue 7
  • DOI: 10.1080/10618560802238275

Lattice Boltzmann model of immiscible fluids
journal, April 1991

  • Gunstensen, Andrew K.; Rothman, Daniel H.; Zaleski, Stéphane
  • Physical Review A, Vol. 43, Issue 8
  • DOI: 10.1103/PhysRevA.43.4320

Study of immiscible displacements in porous media using a color-gradient-based multiphase lattice Boltzmann method
journal, April 2014


Three-dimensional lattice Boltzmann model for immiscible two-phase flow simulations
journal, April 2012


Inertial effects during irreversible meniscus reconfiguration in angular pores
journal, December 2014


Lattice Boltzmann algorithm for surface tension with greatly reduced microcurrents
journal, March 2003


Lattice Boltzmann Simulation of Particle Motion in Binary Immiscible Fluids
journal, September 2015


Lattice Boltzmann Simulations of Supercritical CO 2 –Water Drainage Displacement in Porous Media: CO 2 Saturation and Displacement Mechanism
journal, December 2014

  • Yamabe, Hirotatsu; Tsuji, Takeshi; Liang, Yunfeng
  • Environmental Science & Technology, Vol. 49, Issue 1
  • DOI: 10.1021/es504510y

Simulation of Two-Phase Flow in Reservoir Rocks Using a Lattice Boltzmann Method
journal, December 2010

  • Ramstad, Thomas; Øren, Pål-Eric; Bakke, Stig
  • SPE Journal, Vol. 15, Issue 04
  • DOI: 10.2118/124617-PA

Discrete lattice effects on the forcing term in the lattice Boltzmann method
journal, April 2002


Impact of interfacial tension on residual CO 2 clusters in porous sandstone
journal, March 2015


Displacement of a two-dimensional immiscible droplet in a channel
journal, August 2002

  • Kang, Qinjun; Zhang, Dongxiao; Chen, Shiyi
  • Physics of Fluids, Vol. 14, Issue 9
  • DOI: 10.1063/1.1499125

Modeling Oil Recovery in Mixed-Wet Rocks: Pore-Scale Comparison Between Experiment and Simulation
journal, November 2018

  • Akai, Takashi; Alhammadi, Amer M.; Blunt, Martin J.
  • Transport in Porous Media, Vol. 127, Issue 2
  • DOI: 10.1007/s11242-018-1198-8

Capillary filling and Haines jump dynamics using free energy Lattice Boltzmann simulations
journal, June 2016


A continuum method for modeling surface tension
journal, June 1992


Diffusion properties of gradient-based lattice Boltzmann models of immiscible fluids
journal, May 2005


Modeling the velocity field during Haines jumps in porous media
journal, March 2015


Recovery of the Navier-Stokes equations using a lattice-gas Boltzmann method
journal, April 1992


Multiple–relaxation–time lattice Boltzmann models in three dimensions
journal, March 2002

  • d'Humières, Dominique
  • Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, Vol. 360, Issue 1792
  • DOI: 10.1098/rsta.2001.0955

Color-gradient lattice Boltzmann modeling of immiscible two-phase flows on partially wetting surfaces
journal, December 2017

  • Yu, Yuan; Liu, Haihu; Zhang, Yonghao
  • Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, Vol. 232, Issue 3
  • DOI: 10.1177/0954406217749616

An adaptive scheme using hierarchical grids for lattice Boltzmann multi-phase flow simulations
journal, September 2006


Enhancing residual trapping of supercritical CO 2 via cyclic injections : Cyclic Injections Enhance scCO
journal, September 2016

  • Herring, Anna L.; Andersson, Linnéa; Wildenschild, Dorthe
  • Geophysical Research Letters, Vol. 43, Issue 18
  • DOI: 10.1002/2016GL070304

Characterization of immiscible fluid displacement processes with various capillary numbers and viscosity ratios in 3D natural sandstone
journal, September 2016


Wetting boundary condition for the color-gradient lattice Boltzmann method: Validation with analytical and experimental data
journal, June 2018


Beyond Darcy's law: The role of phase topology and ganglion dynamics for two-fluid flow
journal, October 2016


Evaluation of outflow boundary conditions for two-phase lattice Boltzmann equation
journal, June 2013


Lattice Boltzmann model for simulating flows with multiple phases and components
journal, March 1993


Static contact angle in lattice Boltzmann models of immiscible fluids
journal, October 2005


Generalized three-dimensional lattice Boltzmann color-gradient method for immiscible two-phase pore-scale imbibition and drainage in porous media
journal, March 2017

  • Leclaire, Sébastien; Parmigiani, Andrea; Malaspinas, Orestis
  • Physical Review E, Vol. 95, Issue 3
  • DOI: 10.1103/PhysRevE.95.033306

Comprehensive comparison of pore-scale models for multiphase flow in porous media
journal, June 2019

  • Zhao, Benzhong; MacMinn, Christopher W.; Primkulov, Bauyrzhan K.
  • Proceedings of the National Academy of Sciences, Vol. 116, Issue 28
  • DOI: 10.1073/pnas.1901619116

Lattice BGK Models for Navier-Stokes Equation
journal, February 1992


Lattice Boltzmann simulations of binary fluid flow through porous media
journal, March 2002

  • Tölke, Jonas
  • Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, Vol. 360, Issue 1792
  • DOI: 10.1098/rsta.2001.0944

Theory of the lattice Boltzmann method: Dispersion, dissipation, isotropy, Galilean invariance, and stability
journal, June 2000


Relative permeability and trapping of CO 2 and water in sandstone rocks at reservoir conditions : MULTIPHASE FLOW OF CO
journal, February 2012

  • Krevor, Samuel C. M.; Pini, Ronny; Zuo, Lin
  • Water Resources Research, Vol. 48, Issue 2
  • DOI: 10.1029/2011WR010859

Lattice Boltzmann simulations of liquid CO2 displacing water in a 2D heterogeneous micromodel at reservoir pressure conditions
journal, May 2018


Micro-PIV measurements of multiphase flow of water and liquid CO 2 in 2-D heterogeneous porous micromodels : MEASUREMENTS OF WATER/LIQUID CO
journal, July 2017

  • Li, Yaofa; Kazemifar, Farzan; Blois, Gianluca
  • Water Resources Research, Vol. 53, Issue 7
  • DOI: 10.1002/2017WR020850

Direct Numerical Simulation of Free-Surface and Interfacial flow
journal, January 1999


Multiphase lattice Boltzmann simulations for porous media applications: A review
journal, December 2015

  • Liu, Haihu; Kang, Qinjun; Leonardi, Christopher R.
  • Computational Geosciences, Vol. 20, Issue 4
  • DOI: 10.1007/s10596-015-9542-3

Lattice Boltzmann simulation of immiscible two-phase flow with capillary valve effect in porous media: CAPILLARY VALVE EFFECT IN POROUS MEDIA
journal, May 2017

  • Xu, Zhiyuan; Liu, Haihu; Valocchi, Albert J.
  • Water Resources Research, Vol. 53, Issue 5
  • DOI: 10.1002/2017WR020373

Lattice Boltzmann Method for Fluid Flows
journal, January 1998


Numerical models and experiments on immiscible displacements in porous media
journal, April 1988


Relative Permeability Calculations from Two-Phase Flow Simulations Directly on Digital Images of Porous Rocks
journal, September 2011


Lattice-Boltzmann Method for Complex Flows
journal, January 2010