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

Title: Connecting Pressure-Saturation and Relative Permeability Models to Fracture Properties: The Case of Capillary-Dominated Flow of Supercritical CO 2 and Brine

Abstract

Fractures are potential pathways for subsurface fluids. In the context of geologic CO 2 sequestration, fractures could threaten the security of reservoirs since they are pathways for leakage. However, the constitutive equations describing the pressure-saturation and relative permeability-saturation, key inputs for flow modeling and prediction, are poorly understood for two-phase fracture flow at the field scale where each fracture might be an element of a complex fracture network or dual-porosity domain. This knowledge is required for the safe storage of CO 2 under potentially fractured caprocks. To address this, we numerically simulated two-phase viscous flow through horizontal heterogeneous fractures across a broad range of roughness and aperture correlation length. The numerical experiments, which solved the modified local cubic law, showed a weak to strong phase interference during the drainage process; that is, supercritical CO 2 displaces brine if the imposed pressure + local viscous force > local capillary force. The drainage process ended when no new brine cells can be further invaded by CO 2. Afterward, we froze the saturation field for each individual phase and calculated the relative permeability by single-phase flow modeling. Thousands of simulated pressure-saturation and relative permeability curves enabled us to estimate and connect the parametersmore » of the Van-Genuchten model and of the generalized ν-type model to fracture roughness and aperture correlation length. In conclusion, this empirical connection will be useful for assessing and predicting immiscible two-phase flow in horizontal rough fractures at the large scale.« less

Authors:
ORCiD logo [1]; ORCiD logo [2]
  1. Univ. of Texas at Austin, Austin, TX (United States); Tianjin Univ., Tianjin (China)
  2. Univ. of Texas at Austin, Austin, TX (United States)
Publication Date:
Research Org.:
Energy Frontier Research Centers (EFRC), Washington, D.C. (United States). Center for Frontiers of Subsurface Energy Security (CFSES); Univ. of Texas, Austin, TX (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1539770
Alternate Identifier(s):
OSTI ID: 1474750
Grant/Contract Number:  
SC0001114
Resource Type:
Accepted Manuscript
Journal Name:
Water Resources Research
Additional Journal Information:
Journal Volume: 54; Journal Issue: 9; Journal ID: ISSN 0043-1397
Publisher:
American Geophysical Union (AGU)
Country of Publication:
United States
Language:
English
Subject:
54 ENVIRONMENTAL SCIENCES; Environmental Sciences & Ecology; Marine & Freshwater Biology; Water Resources

Citation Formats

Wang, Lichun, and Cardenas, M. Bayani. Connecting Pressure-Saturation and Relative Permeability Models to Fracture Properties: The Case of Capillary-Dominated Flow of Supercritical CO2 and Brine. United States: N. p., 2018. Web. doi:10.1029/2018wr023526.
Wang, Lichun, & Cardenas, M. Bayani. Connecting Pressure-Saturation and Relative Permeability Models to Fracture Properties: The Case of Capillary-Dominated Flow of Supercritical CO2 and Brine. United States. doi:10.1029/2018wr023526.
Wang, Lichun, and Cardenas, M. Bayani. Mon . "Connecting Pressure-Saturation and Relative Permeability Models to Fracture Properties: The Case of Capillary-Dominated Flow of Supercritical CO2 and Brine". United States. doi:10.1029/2018wr023526. https://www.osti.gov/servlets/purl/1539770.
@article{osti_1539770,
title = {Connecting Pressure-Saturation and Relative Permeability Models to Fracture Properties: The Case of Capillary-Dominated Flow of Supercritical CO2 and Brine},
author = {Wang, Lichun and Cardenas, M. Bayani},
abstractNote = {Fractures are potential pathways for subsurface fluids. In the context of geologic CO2 sequestration, fractures could threaten the security of reservoirs since they are pathways for leakage. However, the constitutive equations describing the pressure-saturation and relative permeability-saturation, key inputs for flow modeling and prediction, are poorly understood for two-phase fracture flow at the field scale where each fracture might be an element of a complex fracture network or dual-porosity domain. This knowledge is required for the safe storage of CO2 under potentially fractured caprocks. To address this, we numerically simulated two-phase viscous flow through horizontal heterogeneous fractures across a broad range of roughness and aperture correlation length. The numerical experiments, which solved the modified local cubic law, showed a weak to strong phase interference during the drainage process; that is, supercritical CO2 displaces brine if the imposed pressure + local viscous force > local capillary force. The drainage process ended when no new brine cells can be further invaded by CO2. Afterward, we froze the saturation field for each individual phase and calculated the relative permeability by single-phase flow modeling. Thousands of simulated pressure-saturation and relative permeability curves enabled us to estimate and connect the parameters of the Van-Genuchten model and of the generalized ν-type model to fracture roughness and aperture correlation length. In conclusion, this empirical connection will be useful for assessing and predicting immiscible two-phase flow in horizontal rough fractures at the large scale.},
doi = {10.1029/2018wr023526},
journal = {Water Resources Research},
number = 9,
volume = 54,
place = {United States},
year = {2018},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 2 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

The Fluid Mechanics of Carbon Dioxide Sequestration
journal, January 2014


Caprock Fracture Dissolution and CO2 Leakage
journal, January 2013

  • Fitts, J. P.; Peters, C. A.
  • Reviews in Mineralogy and Geochemistry, Vol. 77, Issue 1
  • DOI: 10.2138/rmg.2013.77.13

Invasion percolation with viscous forces
journal, January 1998


Fluid flow through rock joints: The effect of surface roughness
journal, January 1987


Roughness of fault surfaces over nine decades of length scales: FAULT ROUGHNESS
journal, August 2012

  • Candela, Thibault; Renard, François; Klinger, Yann
  • Journal of Geophysical Research: Solid Earth, Vol. 117, Issue B8
  • DOI: 10.1029/2011JB009041

Applicability of vertical-equilibrium and sharp-interface assumptions in CO2 sequestration modeling
journal, September 2012

  • Court, Benjamin; Bandilla, Karl W.; Celia, Michael A.
  • International Journal of Greenhouse Gas Control, Vol. 10
  • DOI: 10.1016/j.ijggc.2012.04.015

Experimental Investigation of Stress-Dependency of Relative Permeability in Rock Fractures
journal, May 2016


Emergence of anomalous transport in stressed rough fractures
journal, November 2016


The Friction Factor in the Forchheimer Equation for Rock Fractures
journal, April 2016

  • Zhou, Jia-Qing; Hu, Shao-Hua; Chen, Yi-Feng
  • Rock Mechanics and Rock Engineering, Vol. 49, Issue 8
  • DOI: 10.1007/s00603-016-0960-x

Non-Darcian two-phase flow in a transparent replica of a rough-walled rock fracture: NON-DARCIAN TWO-PHASE FLOW
journal, July 2009

  • Nowamooz, Ali; Radilla, Giovanni; Fourar, Mostafa
  • Water Resources Research, Vol. 45, Issue 7
  • DOI: 10.1029/2008WR007315

Non-Fickian transport through two-dimensional rough fractures: Assessment and prediction: NON-FICKIAN TRANSPORT THROUGH 2-D FRACTURES
journal, February 2014

  • Wang, Lichun; Cardenas, M. Bayani
  • Water Resources Research, Vol. 50, Issue 2
  • DOI: 10.1002/2013WR014459

Network modeling of multiphase flow in fractures
journal, February 2001


Investigating residual trapping in CO 2 storage in saline aquifers - application of a 2D glass model, and image analysis
journal, June 2014

  • Soroush, Mansour; Wessel-Berg, Dag; Torsaeter, Ole
  • Energy Science & Engineering, Vol. 2, Issue 3
  • DOI: 10.1002/ese3.32

On the relationship between mechanical and hydraulic apertures in rough-walled fractures
journal, December 1995

  • Renshaw, Carl E.
  • Journal of Geophysical Research: Solid Earth, Vol. 100, Issue B12
  • DOI: 10.1029/95JB02159

Non-Fickian dispersion in a single fracture
journal, September 2008


Visualizing and quantifying the crossover from capillary fingering to viscous fingering in a rough fracture: CROSSOVER CAPILLARY TO VISCOUS FINGERING
journal, September 2017

  • Chen, Yi-Feng; Fang, Shu; Wu, Dong-Sheng
  • Water Resources Research, Vol. 53, Issue 9
  • DOI: 10.1002/2017WR021051

Two-phase flow in a variable aperture fracture
journal, October 1993

  • Murphy, J. R.; Thomson, N. R.
  • Water Resources Research, Vol. 29, Issue 10
  • DOI: 10.1029/93WR01285

Modification of the L ocal C ubic L aw of fracture flow for weak inertia, tortuosity, and roughness
journal, April 2015

  • Wang, Lichun; Cardenas, M. Bayani; Slottke, Donald T.
  • Water Resources Research, Vol. 51, Issue 4
  • DOI: 10.1002/2014WR015815

CO 2 wettability of caprocks: Implications for structural storage capacity and containment security : CAPROCK CO
journal, November 2015

  • Iglauer, Stefan; Al-Yaseri, Ahmed Zarzor; Rezaee, Reza
  • Geophysical Research Letters, Vol. 42, Issue 21
  • DOI: 10.1002/2015GL065787

A generalized approach for estimation of in-plane curvature in invasion percolation models for drainage in fractures: APPROACH FOR ESTIMATION OF IN-PLANE CURVATURE
journal, September 2012

  • Yang, Zhibing; Niemi, Auli; Fagerlund, Fritjof
  • Water Resources Research, Vol. 48, Issue 9
  • DOI: 10.1029/2012WR011829

Non-linear regimes of fluid flow in rock fractures
journal, May 2004

  • Zimmerman, Robert W.; Al-Yaarubi, Azzan; Pain, Chris C.
  • International Journal of Rock Mechanics and Mining Sciences, Vol. 41
  • DOI: 10.1016/j.ijrmms.2004.03.036

Two-phase flow in smooth and rough fractures: Measurement and correlation by porous-medium and pipe flow models
journal, November 1993

  • Fourar, M.; Bories, S.; Lenormand, R.
  • Water Resources Research, Vol. 29, Issue 11
  • DOI: 10.1029/93WR01529

Pulses of carbon dioxide emissions from intracrustal faults following climatic warming
journal, April 2012

  • Kampman, Niko; Burnside, Neil M.; Shipton, Zoe K.
  • Nature Geoscience, Vol. 5, Issue 5
  • DOI: 10.1038/ngeo1451

ν-X-type relative permeability curves for steam-water two-phase flows in fractured geothermal reservoirs
journal, January 2017


Two-phase flow in rough-walled fractures: Comparison of continuum and invasion-percolation models: COMPARISON OF CONTINUUM AND INVASION-PERCOLATION MODELS
journal, February 2013

  • Yang, Zhibing; Niemi, Auli; Fagerlund, Fritjof
  • Water Resources Research, Vol. 49, Issue 2
  • DOI: 10.1002/wrcr.20111

Changes in permeability caused by transient stresses: Field observations, experiments, and mechanisms: DYNAMIC PERMEABILITY
journal, May 2012

  • Manga, Michael; Beresnev, Igor; Brodsky, Emily E.
  • Reviews of Geophysics, Vol. 50, Issue 2
  • DOI: 10.1029/2011RG000382

Fluid trapping during capillary displacement in fractures
journal, September 2016


IMPES Stability: Selection of Stable Timesteps
journal, June 2003


A new formulation for pore-network modeling of two-phase flow: PORE-NETWORK MODELING OF TWO-PHASE FLOW
journal, January 2012

  • Raoof, A.; Hassanizadeh, S. M.
  • Water Resources Research, Vol. 48, Issue 1
  • DOI: 10.1029/2010WR010180

Two-phase flow properties of a horizontal fracture: The effect of aperture distribution
journal, February 2015


A vertically integrated model with vertical dynamics for CO 2 storage : Research Article
journal, August 2014

  • Guo, Bo; Bandilla, Karl W.; Doster, Florian
  • Water Resources Research, Vol. 50, Issue 8
  • DOI: 10.1002/2013WR015215

Factors controlling satiated relative permeability in a partially-saturated horizontal fracture
journal, February 2000

  • Nicholl, M. J.; Rajaram, H.; Glass, R. J.
  • Geophysical Research Letters, Vol. 27, Issue 3
  • DOI: 10.1029/1999GL006083

New ν ‐type relative permeability curves for two‐phase flows through subsurface fractures
journal, April 2015

  • Watanabe, Noriaki; Sakurai, Keisuke; Ishibashi, Takuya
  • Water Resources Research, Vol. 51, Issue 4
  • DOI: 10.1002/2014WR016515

Effect of pore-space spatial correlations on two-phase flow in porous media
journal, October 1999


Characterization and prediction of CO2 saturation resulting from modeling buoyant fluid migration in 2D heterogeneous geologic fabrics
journal, March 2015

  • Meckel, T. A.; Bryant, S. L.; Ravi Ganesh, P.
  • International Journal of Greenhouse Gas Control, Vol. 34
  • DOI: 10.1016/j.ijggc.2014.12.010

Carbon dioxide sequestration in saline formations: Part 2—Review of multiphase flow modeling
journal, December 2014


Chemical and Hydrodynamic Mechanisms for Long-Term Geological Carbon Storage
journal, June 2014

  • Altman, Susan J.; Aminzadeh, Behdad; Balhoff, Matthew T.
  • The Journal of Physical Chemistry C, Vol. 118, Issue 28
  • DOI: 10.1021/jp5006764

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


Immiscible displacements in rough-walled fractures: Competition between roughening by random aperture variations and smoothing by in-plane curvature
journal, December 2003


Observational evidence confirms modelling of the long-term integrity of CO2-reservoir caprocks
journal, July 2016

  • Kampman, N.; Busch, A.; Bertier, P.
  • Nature Communications, Vol. 7, Issue 1
  • DOI: 10.1038/ncomms12268

Approaching a universal scaling relationship between fracture stiffness and fluid flow
journal, February 2016

  • Pyrak-Nolte, Laura J.; Nolte, David D.
  • Nature Communications, Vol. 7, Issue 1
  • DOI: 10.1038/ncomms10663

A modified invasion percolation model for low-capillary number immiscible displacements in horizontal rough-walled fractures: Influence of local in-plane curvature
journal, December 1998

  • Glass, Robert J.; Nicholl, Michael J.; Yarrington, Lane
  • Water Resources Research, Vol. 34, Issue 12
  • DOI: 10.1029/98WR02224