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 August 18, 2020

Title: Nonhysteretic Capillary Pressure in Two‐Fluid Porous Medium Systems: Definition, Evaluation, Validation, and Dynamics

Authors:
ORCiD logo [1];  [1];  [2];  [3];  [4]
  1. Department of Environmental Sciences and EngineeringUniversity of North Carolina Chapel Hill NC USA
  2. Department of MathematicsUniversity of North Carolina Chapel Hill NC USA
  3. Advanced Research ComputingVirginia Tech Blacksburg VA USA
  4. Department of Environmental Sciences and EngineeringUniversity of North Carolina Chapel Hill NC USA, Department of Civil and Environmental EngineeringUniversity of Vermont Burlington VT USA
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1557900
Grant/Contract Number:  
INCITE
Resource Type:
Publisher's Accepted Manuscript
Journal Name:
Water Resources Research
Additional Journal Information:
Journal Name: Water Resources Research Journal Volume: 55 Journal Issue: 8; Journal ID: ISSN 0043-1397
Publisher:
American Geophysical Union (AGU)
Country of Publication:
United States
Language:
English

Citation Formats

Miller, C. T., Bruning, K., Talbot, C. L., McClure, J. E., and Gray, W. G. Nonhysteretic Capillary Pressure in Two‐Fluid Porous Medium Systems: Definition, Evaluation, Validation, and Dynamics. United States: N. p., 2019. Web. doi:10.1029/2018WR024586.
Miller, C. T., Bruning, K., Talbot, C. L., McClure, J. E., & Gray, W. G. Nonhysteretic Capillary Pressure in Two‐Fluid Porous Medium Systems: Definition, Evaluation, Validation, and Dynamics. United States. doi:10.1029/2018WR024586.
Miller, C. T., Bruning, K., Talbot, C. L., McClure, J. E., and Gray, W. G. Fri . "Nonhysteretic Capillary Pressure in Two‐Fluid Porous Medium Systems: Definition, Evaluation, Validation, and Dynamics". United States. doi:10.1029/2018WR024586.
@article{osti_1557900,
title = {Nonhysteretic Capillary Pressure in Two‐Fluid Porous Medium Systems: Definition, Evaluation, Validation, and Dynamics},
author = {Miller, C. T. and Bruning, K. and Talbot, C. L. and McClure, J. E. and Gray, W. G.},
abstractNote = {},
doi = {10.1029/2018WR024586},
journal = {Water Resources Research},
number = 8,
volume = 55,
place = {United States},
year = {2019},
month = {8}
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on August 18, 2020
Publisher's Version of Record

Citation Metrics:
Cited by: 1 work
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Numerical prediction of saturation in dual scale fibrous reinforcements during Liquid Composite Molding
journal, October 2015


A model for hysteretic constitutive relations governing multiphase flow: 2. Permeability-saturation relations
journal, December 1987


Parameter estimation for unsaturated flow and transport models — A review
journal, June 1987


New capillary number definition for displacement of residual nonwetting phase in natural fractures: New Capillary Number for Fractures
journal, June 2017

  • AlQuaimi, B. I.; Rossen, W. R.
  • Geophysical Research Letters, Vol. 44, Issue 11
  • DOI: 10.1002/2017GL073211

Impact of capillary hysteresis and trapping on vertically integrated models for CO2 storage
journal, December 2013


On the challenges of measuring interfacial characteristics of three-phase fluid flow with x-ray microtomography: IMAGING THREE-PHASE FLOW
journal, January 2014

  • Brown, K.; SchlÜTer, S.; Sheppard, A.
  • Journal of Microscopy, Vol. 253, Issue 3
  • DOI: 10.1111/jmi.12106

Modeling geologic storage of carbon dioxide: Comparison of non-hysteretic and hysteretic characteristic curves
journal, June 2007


Probability Model for Estimating Three-Phase Relative Permeability
journal, February 1970

  • Stone, H. L.
  • Journal of Petroleum Technology, Vol. 22, Issue 02
  • DOI: 10.2118/2116-PA

Bayesian soil parameter estimation: Results of percolation-drainage vs infiltration laboratory experiments
journal, October 2018


Numerical simulation of water resources problems: Models, methods, and trends
journal, January 2013


A model for hysteretic constitutive relations governing multiphase flow: 1. Saturation-pressure relations
journal, December 1987


A novel heterogeneous algorithm to simulate multiphase flow in porous media on multicore CPU–GPU systems
journal, July 2014

  • McClure, J. E.; Prins, J. F.; Miller, C. T.
  • Computer Physics Communications, Vol. 185, Issue 7
  • DOI: 10.1016/j.cpc.2014.03.012

High‐resolution experiments on chemical oxidation of DNAPL in variable‐aperture fractures
journal, April 2015

  • Arshadi, Masoud; Rajaram, Harihar; Detwiler, Russell L.
  • Water Resources Research, Vol. 51, Issue 4
  • DOI: 10.1002/2014WR016159

Comparing Simulated and Experimental Hysteretic Two-Phase Transient Fluid Flow Phenomena
journal, August 1991

  • Lenhard, R. J.; Parker, J. C.; Kaluarachchi, J. J.
  • Water Resources Research, Vol. 27, Issue 8
  • DOI: 10.1029/91WR01272

Comparison of pressure-saturation characteristics derived from computed tomography and lattice Boltzmann simulations: TOMOGRAPHY AND LB PRESSURE-SATURATION
journal, December 2007

  • Schaap, Marcel G.; Porter, Mark L.; Christensen, Britt S. B.
  • Water Resources Research, Vol. 43, Issue 12
  • DOI: 10.1029/2006WR005730

Numerical modeling of steam injection for the removal of nonaqueous phase liquids from the subsurface: 1. Numerical formulation
journal, February 1992

  • Falta, Ronald W.; Pruess, Karsten; Javandel, Iraj
  • Water Resources Research, Vol. 28, Issue 2
  • DOI: 10.1029/91WR02526

Pore-morphology-based simulations of drainage and wetting processes in porous media
journal, April 2011

  • Chan, T. P.; Govindaraju, Rao S.
  • Hydrology Research, Vol. 42, Issue 2-3
  • DOI: 10.2166/nh.2011.058

A Global Jacobian Method for Mortar Discretizations of a Fully Implicit Two-Phase Flow Model
journal, January 2014

  • Ganis, Benjamin; Kumar, Kundan; Pencheva, Gergina
  • Multiscale Modeling & Simulation, Vol. 12, Issue 4
  • DOI: 10.1137/140952922

Measurement of interfacial area per volume for drainage and imbibition: INTERFACIAL AREA PER VOLUME FOR DRAINAGE
journal, December 2007

  • Chen, Daiquan; Pyrak-Nolte, Laura J.; Griffin, Jessica
  • Water Resources Research, Vol. 43, Issue 12
  • DOI: 10.1029/2007WR006021

Modeling the transport of volatile organics in variably saturated media
journal, January 1989


Modeling support of functional relationships between capillary pressure, saturation, interfacial area and common lines
journal, February 2001


Calculation of Imbibition Relative Permeability for Two- and Three-Phase Flow From Rock Properties
journal, June 1968

  • Land, Carlon S.
  • Society of Petroleum Engineers Journal, Vol. 8, Issue 02
  • DOI: 10.2118/1942-PA

A discontinuous Galerkin method for two-phase flow in a porous medium enforcing H(div) velocityand continuous capillary pressure
journal, September 2013


Thermodynamically constrained averaging theory approach for modeling flow and transport phenomena in porous medium systems: 2. Foundation
journal, February 2005


Tracking interface and common curve dynamics for two-fluid flow in porous media
journal, April 2016

  • McClure, J. E.; Berrill, M. A.; Gray, W. G.
  • Journal of Fluid Mechanics, Vol. 796
  • DOI: 10.1017/jfm.2016.212

Impact of relative permeability hysteresis on the numerical simulation of WAG injection
journal, February 2006


Two-phase flow pipe network method for simulation of CO2 sequestration in fractured saline aquifers
journal, October 2017


Effects of liquid layers and distribution patterns on three-phase saturation and relative permeability relationships: a micromodel study
journal, July 2015

  • Tsai, Jui-Pin; Chang, Liang-Cheng; Hsu, Shao-Yiu
  • Environmental Science and Pollution Research, Vol. 24, Issue 35
  • DOI: 10.1007/s11356-015-4931-7

Linking pressure and saturation through interfacial areas in porous media
journal, January 2004


Toward an improved description of the physics of two-phase flow
journal, January 1993


A Chemical Flooding Compositional Simulator
journal, October 1978

  • Pope, G. A.; Nelson, R. C.
  • Society of Petroleum Engineers Journal, Vol. 18, Issue 05
  • DOI: 10.2118/6725-PA

Pore-morphology-based simulation of drainage in totally wetting porous media
journal, February 2001


Measurement of Air−Water Interfacial Area for Multiple Hysteretic Drainage Curves in an Unsaturated Fine Sand
journal, August 2006

  • Chen, Lixia; Kibbey, Tohren C. G.
  • Langmuir, Vol. 22, Issue 16
  • DOI: 10.1021/la053521e

Investigation of Coal Tar Mobility at a Former MGP Site
journal, November 2009


Prediction of relative permeability in simple porous media
journal, August 1992


A short proof of Hadwiger's characterization theorem
journal, December 1995


A Closed-form Equation for Predicting the Hydraulic Conductivity of Unsaturated Soils1
journal, January 1980


Two-phase flow in heterogeneous porous media: The method of large-scale averaging
journal, August 1988

  • Quintard, Michel; Whitaker, Stephen
  • Transport in Porous Media, Vol. 3, Issue 4
  • DOI: 10.1007/BF00233177

Insights into the Relationships Among Capillary Pressure, Saturation, Interfacial Area and Relative Permeability Using Pore-Network Modeling
journal, December 2007

  • Joekar-Niasar, V.; Hassanizadeh, S. M.; Leijnse, A.
  • Transport in Porous Media, Vol. 74, Issue 2
  • DOI: 10.1007/s11242-007-9191-7

Accurate and economical solution of the pressure-head form of Richards' equation by the method of lines
journal, February 1997


Curvature measures
journal, March 1959


Role of corner interfacial area in uniqueness of capillary pressure-saturation- interfacial area relation under transient conditions
journal, September 2017


Development of a simple groundwater model for use in climate models and evaluation with Gravity Recovery and Climate Experiment data
journal, January 2007

  • Niu, Guo-Yue; Yang, Zong-Liang; Dickinson, Robert E.
  • Journal of Geophysical Research, Vol. 112, Issue D7
  • DOI: 10.1029/2006JD007522

Network model investigation of interfacial area, capillary pressure and saturation relationships in granular porous media: NEW NETWORK MODEL FOR CAPILLARY FLOW
journal, June 2010

  • Joekar-Niasar, V.; Prodanović, M.; Wildenschild, D.
  • Water Resources Research, Vol. 46, Issue 6
  • DOI: 10.1029/2009WR008585

The scaling exponent of residual nonwetting phase cluster size distributions in porous media: TAU
journal, November 2016

  • Iglauer, Stefan; Wülling, Wolfgang
  • Geophysical Research Letters, Vol. 43, Issue 21
  • DOI: 10.1002/2016GL071298

Bayesian estimation of the hydraulic and solute transport properties of a small-scale unsaturated soil column
journal, March 2016

  • Moreira, Paulo H. S.; van Genuchten, Martinus Th.; Orlande, Helcio R. B.
  • Journal of Hydrology and Hydromechanics, Vol. 64, Issue 1
  • DOI: 10.1515/johh-2016-0002

Geological Carbon Sequestration in the Context of Two-Phase Flow in Porous Media: A Review
journal, May 2014

  • Abidoye, Luqman K.; Khudaida, Kamal J.; Das, Diganta B.
  • Critical Reviews in Environmental Science and Technology, Vol. 45, Issue 11
  • DOI: 10.1080/10643389.2014.924184

Simulating drainage and imbibition experiments in a high-porosity micromodel using an unstructured pore network model: PORE NETWORK MODEL FOR MICROMODEL
journal, February 2009

  • Joekar Niasar, V.; Hassanizadeh, S. M.; Pyrak-Nolte, L. J.
  • Water Resources Research, Vol. 45, Issue 2
  • DOI: 10.1029/2007WR006641

Hysteresis and interfacial energies in smooth-walled microfluidic channels: HYSTERESIS AND INTERFACIAL ENERGIES
journal, January 2011

  • Liu, Yihong; Nolte, D. D.; Pyrak-Nolte, L. J.
  • Water Resources Research, Vol. 47, Issue 1
  • DOI: 10.1029/2010WR009541

Thermodynamically constrained averaging theory approach for modeling flow and transport phenomena in porous medium systems: 6. Two-fluid-phase flow
journal, June 2009


Numerical simulations of a light nonaqueous phase liquid (LNAPL) movement in variably saturated soils with capillary hysteresis
journal, September 2014

  • Pasha, Amin Y.; Hu, Liming; Meegoda, Jay N.
  • Canadian Geotechnical Journal, Vol. 51, Issue 9
  • DOI: 10.1139/cgj-2012-0165

An Iterative Implicit Scheme for Nanoparticles Transport with Two-Phase Flow in Porous Media
journal, January 2016


Numerical Treatment of Two-phase Flow in Porous Media Including Specific Interfacial Area
journal, January 2015


A Functional Relationship Between Capillary Pressure, Saturation, and Interfacial Area as Revealed by a Pore-Scale Network Model
journal, August 1996

  • Reeves, Paul C.; Celia, Michael A.
  • Water Resources Research, Vol. 32, Issue 8
  • DOI: 10.1029/96WR01105

On the fabrication of PDMS micromodels by rapid prototyping, and their use in two-phase flow studies: MICROMODEL, TWO-PHASE FLOW EXPERIMENTS
journal, April 2013

  • Karadimitriou, N. K.; Musterd, M.; Kleingeld, P. J.
  • Water Resources Research, Vol. 49, Issue 4
  • DOI: 10.1002/wrcr.20196

Controlled liquid entrapment over patterned sidewalls in confined geometries
journal, September 2017


A comparative review of hydrologic issues involved in geologic storage of CO2 and injection disposal of liquid waste
journal, August 2007


Numerical modeling of supercritical carbonation process in cement-based materials
journal, June 2015


Evaluation of natural and enhanced PCP biodegradation at a former pesticide manufacturing plant
journal, February 2004


The Effects of Shale Gas Exploration and Hydraulic Fracturing on the Quality of Water Resources in the United States
journal, January 2013


Micromodel study of two-phase flow under transient conditions: Quantifying effects of specific interfacial area
journal, October 2014

  • Karadimitriou, N. K.; Hassanizadeh, S. M.; Joekar-Niasar, V.
  • Water Resources Research, Vol. 50, Issue 10
  • DOI: 10.1002/2014WR015388

Estimability Analysis for Optimization of Hysteretic Soil Hydraulic Parameters Using Data of a Field Irrigation Experiment
journal, May 2014

  • Ngo, Viet V.; Gerke, Horst H.; Badorreck, Annika
  • Transport in Porous Media, Vol. 103, Issue 3
  • DOI: 10.1007/s11242-014-0315-6

A CSF-SPH method for simulating drainage and imbibition at pore-scale resolution while tracking interfacial areas
journal, September 2016


Interfacial area measurements for unsaturated flow through a porous medium: INTERFACIAL AREA MEASUREMENTS
journal, December 2004

  • Culligan, Katherine A.; Wildenschild, Dorthe; Christensen, Britt S. B.
  • Water Resources Research, Vol. 40, Issue 12
  • DOI: 10.1029/2004WR003278

Multiphase flow and transport modeling in heterogeneous porous media: challenges and approaches
journal, March 1998


Potential Impacts of Climate Change and Human Activity on Subsurface Water Resources
journal, January 2007

  • Green, Timothy R.; Taniguchi, Makoto; Kooi, Henk
  • Vadose Zone Journal, Vol. 6, Issue 3
  • DOI: 10.2136/vzj2007.0098

Groundwater pollution by Cystine manufacturing industrial effluent around the factory
journal, April 2000


Uniqueness of Specific Interfacial Area–Capillary Pressure–Saturation Relationship Under Non-Equilibrium Conditions in Two-Phase Porous Media Flow
journal, February 2012


Numerical Modeling of Fluid Flow in Solid Tumors
journal, June 2011


Enriched Galerkin methods for two-phase flow in porous media with capillary pressure
journal, August 2018


Determination of the relationship among capillary pressure, saturation and interfacial area: a pore unit assembly approach
journal, January 2016


A fully-coupled discontinuous Galerkin spectral element method for two-phase flow in petroleum reservoirs
journal, January 2018


Nonlinearly preconditioned semismooth Newton methods for variational inequality solution of two-phase flow in porous media
journal, March 2017


Pressure Cell for Measuring Capillary Pressure Relationships of Contaminated Sands
journal, April 1999


Geometric state function for two-fluid flow in porous media
journal, August 2018


Non-equilibrium effects in capillarity and interfacial area in two-phase flow: dynamic pore-network modelling
journal, July 2010


On the dynamics and kinematics of two‐fluid‐phase flow in porous media
journal, July 2015

  • Gray, W. G.; Dye, A. L.; McClure, J. E.
  • Water Resources Research, Vol. 51, Issue 7
  • DOI: 10.1002/2015WR016921

Lattice-Boltzmann simulations of the capillary pressure–saturation–interfacial area relationship for porous media
journal, November 2009


Permanent storage of carbon dioxide in geological reservoirs by mineral carbonation
journal, November 2009

  • Matter, Jürg M.; Kelemen, Peter B.
  • Nature Geoscience, Vol. 2, Issue 12
  • DOI: 10.1038/ngeo683

Effective diffusivity and water-saturation distribution in single- and two-layer PEMFC diffusion medium
journal, November 2003

  • Nam, Jin Hyun; Kaviany, Massoud
  • International Journal of Heat and Mass Transfer, Vol. 46, Issue 24, p. 4595-4611
  • DOI: 10.1016/S0017-9310(03)00305-3

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

Should fracking stop?
journal, September 2011

  • Howarth, Robert W.; Ingraffea, Anthony; Engelder, Terry
  • Nature, Vol. 477, Issue 7364
  • DOI: 10.1038/477271a

Hydrogeological Behavior of a Store-and-Release Cover: A Comparison Between Field Column Tests and Numerical Predictions With or Without Hysteresis Effects
journal, June 2015

  • Bossé, Bruno; Bussière, Bruno; Maqsoud, Abdelkabir
  • Mine Water and the Environment, Vol. 35, Issue 2
  • DOI: 10.1007/s10230-015-0350-8

iTOUGH2: A multiphysics simulation-optimization framework for analyzing subsurface systems
journal, November 2017


Capillary pressure as a unique function of electric permittivity and water saturation: CAPILLARY PRESSURE AND ELECTRIC PERMITTIVITY
journal, July 2007

  • Plug, Willem-Jan; Slob, Evert; van Turnhout, Jan
  • Geophysical Research Letters, Vol. 34, Issue 13
  • DOI: 10.1029/2007GL029674

Estimation of soil hydraulic properties and their uncertainty: comparison between laboratory and field experiment
journal, July 2010

  • Kumar, S.; Sekhar, M.; Reddy, D. V.
  • Hydrological Processes, Vol. 24, Issue 23
  • DOI: 10.1002/hyp.7775