Influence of phase connectivity on the relationship among capillary pressure, fluid saturation, and interfacial area in two-fluid-phase porous medium systems

McClure, James E.; Berrill, Mark A.; Gray, William G.; Miller, Cass T.

doi:10.1103/PhysRevE.94.033102

Title: Influence of phase connectivity on the relationship among capillary pressure, fluid saturation, and interfacial area in two-fluid-phase porous medium systems

Journal Article · Fri Sep 02 00:00:00 EDT 2016 · Physical Review E

DOI:https://doi.org/10.1103/PhysRevE.94.033102· OSTI ID:1330524

McClure, James E. ^[1]; Berrill, Mark A. ^[2]; Gray, William G. ^[3]; Miller, Cass T. ^[3]

Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Univ. of North Carolina, Chapel Hill, NC (United States)

Here, multiphase flow in porous medium systems is typically modeled using continuum mechanical representations at the macroscale in terms of averaged quantities. These models require closure relations to produce solvable forms. One of these required closure relations is an expression relating fluid pressures, fluid saturations, and, in some cases, the interfacial area between the fluid phases, and the Euler characteristic. An unresolved question is whether the inclusion of these additional morphological and topological measures can lead to a non-hysteretic closure relation compared to the hysteretic forms that are used in traditional models, which typically do not include interfacial areas, or the Euler characteristic. We develop a lattice-Boltzmann (LB) simulation approach to investigate the equilibrium states of a two-fluid-phase porous medium system, which include disconnected now- wetting phase features. The proposed approach is applied to a synthetic medium consisting of 1,964 spheres arranged in a random, non-overlapping, close-packed manner, yielding a total of 42,908 different equilibrium points. This information is evaluated using a generalized additive modeling approach to determine if a unique function from this family exists, which can explain the data. The variance of various model estimates is computed, and we conclude that, except for the limiting behavior close to a single fluid regime, capillary pressure can be expressed as a deterministic and non-hysteretic function of fluid saturation, interfacial area between the fluid phases, and the Euler characteristic. This work is unique in the methods employed, the size of the data set, the resolution in space and time, the true equilibrium nature of the data, the parameterizations investigated, and the broad set of functions examined. The conclusion of essentially non-hysteretic behavior provides support for an evolving class of two-fluid-phase flow in porous medium systems models.

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: AC05-00OR22725; SC0002163

OSTI ID:: 1330524

Alternate ID(s):: OSTI ID: 1315862

Journal Information:: Physical Review E, Vol. 94, Issue 3; ISSN 2470-0045

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 42 works

Citation information provided by
Web of Science

References (90)

Interfacial dynamics of two immiscible fluids in spatially periodic porous media: The role of substrate wettability Mondal, Pranab Kumar; DasGupta, Debabrata; Chakraborty, Suman Physical Review E, Vol. 90, Issue 1 https://doi.org/10.1103/PhysRevE.90.013003	journal	July 2014
Entrapment and Mobilization of Residual Oil in Bead Packs Morrow, N. R.; Chatzis, I.; Taber, J. J. SPE Reservoir Engineering, Vol. 3, Issue 03 https://doi.org/10.2118/14423-PA	journal	August 1988
Network model investigation of interfacial area, capillary pressure and saturation relationships in granular porous media: NEW NETWORK MODEL FOR CAPILLARY FLOW Joekar-Niasar, V.; Prodanović, M.; Wildenschild, D. Water Resources Research, Vol. 46, Issue 6 https://doi.org/10.1029/2009WR008585	journal	June 2010
Prediction of fluid occupancy in fractures using network modeling and x-ray microtomography. II: Results Piri, Mohammad; Karpyn, Zuleima T. Physical Review E, Vol. 76, Issue 1 https://doi.org/10.1103/PhysRevE.76.016316	journal	July 2007
Prediction of fluid occupancy in fractures using network modeling and x-ray microtomography. I: Data conditioning and model description Karpyn, Zuleima T.; Piri, Mohammad Physical Review E, Vol. 76, Issue 1 https://doi.org/10.1103/PhysRevE.76.016315	journal	July 2007
Capillary Behavior in Porous Solids Leverett, M. C. Transactions of the AIME, Vol. 142, Issue 01 https://doi.org/10.2118/941152-G	journal	December 1941
Investigation of the residual–funicular nonwetting-phase-saturation relation Hilpert, Markus; McBride, John F.; Miller, Cass T. Advances in Water Resources, Vol. 24, Issue 2 https://doi.org/10.1016/S0309-1708(00)00035-X	journal	November 2000
History effects on nonwetting fluid residuals during desaturation flow through disordered porous media Chevalier, Thibaud; Salin, Dominique; Talon, Laurent Physical Review E, Vol. 91, Issue 4 https://doi.org/10.1103/PhysRevE.91.043015	journal	April 2015
New Trapping Mechanism in Carbon Sequestration Saadatpoor, Ehsan; Bryant, Steven L.; Sepehrnoori, Kamy Transport in Porous Media, Vol. 82, Issue 1 https://doi.org/10.1007/s11242-009-9446-6	journal	August 2009
Steady-state, simultaneous two-phase flow in porous media: An experimental study Tallakstad, Ken Tore; Løvoll, Grunde; Knudsen, Henning Arendt Physical Review E, Vol. 80, Issue 3 https://doi.org/10.1103/PhysRevE.80.036308	journal	September 2009
A critical review of two-phase flow in gas flow channels of proton exchange membrane fuel cells Anderson, Ryan; Zhang, Lifeng; Ding, Yulong Journal of Power Sources, Vol. 195, Issue 15 https://doi.org/10.1016/j.jpowsour.2009.12.123	journal	August 2010
Introduction to the Thermodynamically Constrained Averaging Theory for Porous Medium Systems Gray, William G.; Miller, Cass T. Advances in Geophysical and Environmental Mechanics and Mathematics https://doi.org/10.1007/978-3-319-04010-3	book	January 2014
Capillary saturation and desaturation Hilfer, R.; Armstrong, R. T.; Berg, S. Physical Review E, Vol. 92, Issue 6 https://doi.org/10.1103/PhysRevE.92.063023	journal	December 2015
A comparison of geographical information systems-based algorithms for computing the TOPMODEL topographic index: A COMPARISON OF TOPOGRAPHIC INDEX ALGORITHMS Pan, Feifei; Peters-Lidard, Christa D.; Sale, Michael J. Water Resources Research, Vol. 40, Issue 6 https://doi.org/10.1029/2004WR003069	journal	June 2004
Trapping and hysteresis in two-phase flow in porous media: A pore-network study: Trapping and Hysteresis in Two-Phase Flow Joekar-Niasar, V.; Doster, F.; Armstrong, R. T. Water Resources Research, Vol. 49, Issue 7 https://doi.org/10.1002/wrcr.20313	journal	July 2013
Distribution of multiphase fluids in porous media: Comparison between lattice Boltzmann modeling and micro-x-ray tomography Sukop, Michael C.; Huang, Haibo; Lin, Chen Luh Physical Review E, Vol. 77, Issue 2 https://doi.org/10.1103/PhysRevE.77.026710	journal	February 2008
Straightforward intermediate rank tensor product smoothing in mixed models Wood, Simon N.; Scheipl, Fabian; Faraway, Julian J. Statistics and Computing, Vol. 23, Issue 3 https://doi.org/10.1007/s11222-012-9314-z	journal	February 2012
A Critical Overview of Computational Fluid Dynamics Multiphase Models for Proton Exchange Membrane Fuel Cells Gurau, Vladimir; Mann,, J. Adin SIAM Journal on Applied Mathematics, Vol. 70, Issue 2 https://doi.org/10.1137/080727993	journal	January 2009
Extraction of physically realistic pore network properties from three-dimensional synchrotron X-ray microtomography images of unconsolidated porous media systems Al-Raoush, R. I.; Willson, C. S. Journal of Hydrology, Vol. 300, Issue 1-4 https://doi.org/10.1016/j.jhydrol.2004.05.005	journal	January 2005
Capillary Pressure Curve for Liquid Menisci in a Cubic Assembly of Spherical Particles Below Irreducible Saturation Bear, Jacob; Rubinstein, Boris; Fel, Leonid Transport in Porous Media, Vol. 89, Issue 1 https://doi.org/10.1007/s11242-011-9752-7	journal	March 2011
A Functional Relationship Between Capillary Pressure, Saturation, and Interfacial Area as Revealed by a Pore-Scale Network Model Reeves, Paul C.; Celia, Michael A. Water Resources Research, Vol. 32, Issue 8 https://doi.org/10.1029/96WR01105	journal	August 1996
Modeling Fluid flow in oil Reservoirs Gerritsen, Margot G.; Durlofsky, Louis J. Annual Review of Fluid Mechanics, Vol. 37, Issue 1 https://doi.org/10.1146/annurev.fluid.37.061903.175748	journal	January 2005
Characteristic lengths affecting evaporative drying of porous media Lehmann, Peter; Assouline, Shmuel; Or, Dani Physical Review E, Vol. 77, Issue 5 https://doi.org/10.1103/PhysRevE.77.056309	journal	May 2008
Pore-scale micro-computed-tomography imaging: Nonwetting-phase cluster-size distribution during drainage and imbibition Georgiadis, A.; Berg, S.; Makurat, A. Physical Review E, Vol. 88, Issue 3 https://doi.org/10.1103/PhysRevE.88.033002	journal	September 2013
Measuring Air−Water Interfacial Areas with X-ray Microtomography and Interfacial Partitioning Tracer Tests Brusseau, Mark L.; Peng, Sheng; Schnaar, Gregory Environmental Science & Technology, Vol. 41, Issue 6 https://doi.org/10.1021/es061474m	journal	March 2007
Dynamics of Drying in 3D Porous Media Xu, Lei; Davies, Simon; Schofield, Andrew B. Physical Review Letters, Vol. 101, Issue 9 https://doi.org/10.1103/PhysRevLett.101.094502	journal	August 2008
A novel heterogeneous algorithm to simulate multiphase flow in porous media on multicore CPU–GPU systems McClure, J. E.; Prins, J. F.; Miller, C. T. Computer Physics Communications, Vol. 185, Issue 7 https://doi.org/10.1016/j.cpc.2014.03.012	journal	July 2014
Real-time 3D imaging of Haines jumps in porous media flow Berg, S.; Ott, H.; Klapp, S. A. Proceedings of the National Academy of Sciences, Vol. 110, Issue 10 https://doi.org/10.1073/pnas.1221373110	journal	February 2013
Tomographical Imaging and Mathematical Description of Porous Media Used for the Prediction of Fluid Distribution Lehmann, P.; Wyss, P.; Flisch, A. Vadose Zone Journal, Vol. 5, Issue 1 https://doi.org/10.2136/vzj2004.0177	journal	January 2006
Effect of fluid topology on residual nonwetting phase trapping: Implications for geologic CO2 sequestration Herring, Anna L.; Harper, Elizabeth J.; Andersson, Linnéa Advances in Water Resources, Vol. 62 https://doi.org/10.1016/j.advwatres.2013.09.015	journal	December 2013
Pore-scale characteristics of multiphase flow in porous media: A comparison of air–water and oil–water experiments Culligan, K. A.; Wildenschild, D.; Christensen, B. S. B. Advances in Water Resources, Vol. 29, Issue 2 https://doi.org/10.1016/j.advwatres.2005.03.021	journal	February 2006
Comparison of pressure-saturation characteristics derived from computed tomography and lattice Boltzmann simulations: TOMOGRAPHY AND LB PRESSURE-SATURATION Schaap, Marcel G.; Porter, Mark L.; Christensen, Britt S. B. Water Resources Research, Vol. 43, Issue 12 https://doi.org/10.1029/2006WR005730	journal	December 2007
Generalized nonequilibrium capillary relations for two-phase flow through heterogeneous media Amaziane, Brahim; Milišić, Josipa Pina; Panfilov, Mikhail Physical Review E, Vol. 85, Issue 1 https://doi.org/10.1103/PhysRevE.85.016304	journal	January 2012
Interfacial area measurements for unsaturated flow through a porous medium: INTERFACIAL AREA MEASUREMENTS Culligan, Katherine A.; Wildenschild, Dorthe; Christensen, Britt S. B. Water Resources Research, Vol. 40, Issue 12 https://doi.org/10.1029/2004WR003278	journal	December 2004
Pore-scale analysis of trapped immiscible fluid structures and fluid interfacial areas in oil-wet and water-wet bead packs: Pore-scale analysis of trapped immiscible fluid structures Landry, C. J.; Karpyn, Z. T.; Piri, M. Geofluids, Vol. 11, Issue 2 https://doi.org/10.1111/j.1468-8123.2011.00333.x	journal	April 2011
3D structural analysis: sensitivity of Minkowski functionals: 3D STRUCTURAL ANALYSIS: SENSITIVITY OF MINKOWSKI FUNCTIONALS Arns, C. H.; Knackstedt, M. A.; Mecke, K. Journal of Microscopy, Vol. 240, Issue 3 https://doi.org/10.1111/j.1365-2818.2010.03395.x	journal	November 2010
Uniqueness of Specific Interfacial Area–Capillary Pressure–Saturation Relationship Under Non-Equilibrium Conditions in Two-Phase Porous Media Flow Joekar-Niasar, Vahid; Hassanizadeh, S. Majid Transport in Porous Media, Vol. 94, Issue 2 https://doi.org/10.1007/s11242-012-9958-3	journal	February 2012
Wettability Stabilizes Fluid Invasion into Porous Media via Nonlocal, Cooperative Pore Filling Holtzman, Ran; Segre, Enrico Physical Review Letters, Vol. 115, Issue 16 https://doi.org/10.1103/PhysRevLett.115.164501	journal	October 2015
Steady-State Two-Phase Flow in Porous Media: Statistics and Transport Properties Tallakstad, Ken Tore; Knudsen, Henning Arendt; Ramstad, Thomas Physical Review Letters, Vol. 102, Issue 7 https://doi.org/10.1103/PhysRevLett.102.074502	journal	February 2009
Wettability alteration in carbonates Standnes, Dag C.; Austad, Tor Colloids and Surfaces A: Physicochemical and Engineering Aspects, Vol. 216, Issue 1-3 https://doi.org/10.1016/S0927-7757(02)00580-0	journal	April 2003
Air-Water Interfacial Area and Capillary Pressure: Porous-Medium Texture Effects and an Empirical Function Peng, Sheng; Brusseau, Mark L. Journal of Hydrologic Engineering, Vol. 17, Issue 7 https://doi.org/10.1061/(ASCE)HE.1943-5584.0000515	journal	July 2012
Wettability Changes in Trichloroethylene-Contaminated Sandstone Harrold, Gavin; Gooddy, Daren C.; Lerner, David N. Environmental Science & Technology, Vol. 35, Issue 7 https://doi.org/10.1021/es0000504	journal	April 2001
On the reconstruction of structural and functional properties in random heterogeneous media Schlüter, Steffen; Vogel, Hans-Jörg Advances in Water Resources, Vol. 34, Issue 2 https://doi.org/10.1016/j.advwatres.2010.12.004	journal	February 2011
Pore-scale imaging and modelling Blunt, Martin J.; Bijeljic, Branko; Dong, Hu Advances in Water Resources, Vol. 51 https://doi.org/10.1016/j.advwatres.2012.03.003	journal	January 2013
Nonlocal Interface Dynamics and Pattern Formation in Gravity-Driven Unsaturated Flow through Porous Media Cueto-Felgueroso, Luis; Juanes, Ruben Physical Review Letters, Vol. 101, Issue 24 https://doi.org/10.1103/PhysRevLett.101.244504	journal	December 2008
Impact of geometrical properties on permeability and fluid phase distribution in porous media Lehmann, P.; Berchtold, M.; Ahrenholz, B. Advances in Water Resources, Vol. 31, Issue 9 https://doi.org/10.1016/j.advwatres.2008.01.019	journal	September 2008
Modeling support of functional relationships between capillary pressure, saturation, interfacial area and common lines Held, Rudolf J.; Celia, Michael A. Advances in Water Resources, Vol. 24, Issue 3-4 https://doi.org/10.1016/S0309-1708(00)00060-9	journal	February 2001
Generalized additive models for large data sets Wood, Simon N.; Goude, Yannig; Shaw, Simon Journal of the Royal Statistical Society: Series C (Applied Statistics), Vol. 64, Issue 1 https://doi.org/10.1111/rssc.12068	journal	May 2014
Image analysis algorithms for estimating porous media multiphase flow variables from computed microtomography data: a validation study Porter, Mark L.; Wildenschild, Dorthe Computational Geosciences, Vol. 14, Issue 1 https://doi.org/10.1007/s10596-009-9130-5	journal	February 2009
Quantification of soil structure based on Minkowski functions Vogel, H. -J.; Weller, U.; Schlüter, S. Computers & Geosciences, Vol. 36, Issue 10 https://doi.org/10.1016/j.cageo.2010.03.007	journal	October 2010
Tracking interface and common curve dynamics for two-fluid flow in porous media McClure, J. E.; Berrill, M. A.; Gray, W. G. Journal of Fluid Mechanics, Vol. 796 https://doi.org/10.1017/jfm.2016.212	journal	April 2016
Pore-scale studies of spontaneous imbibition into oil-saturated porous media Hatiboglu, Can Ulas; Babadagli, Tayfun Physical Review E, Vol. 77, Issue 6 https://doi.org/10.1103/PhysRevE.77.066311	journal	June 2008
Visualization of residual organic liquid trapped in aquifers Conrad, Stephen H.; Wilson, John L.; Mason, William R. Water Resources Research, Vol. 28, Issue 2 https://doi.org/10.1029/91WR02054	journal	February 1992
A level set method for simulating capillary-controlled displacements at the pore scale with nonzero contact angles: Level Set Simulation of Capillary Displacement Jettestuen, Espen; Helland, Johan O.; Prodanović, Maša Water Resources Research, Vol. 49, Issue 8 https://doi.org/10.1002/wrcr.20334	journal	August 2013
Modeling Groundwater Flow and Contaminant Transport Bear, Jacob; Cheng, Alexander H. -D. https://doi.org/10.1007/978-1-4020-6682-5	book	January 2010
Influence of wetting conditions on drainage in porous media: A microfluidic study Cottin, Christophe; Bodiguel, Hugues; Colin, Annie Physical Review E, Vol. 84, Issue 2 https://doi.org/10.1103/PhysRevE.84.026311	journal	August 2011
Pore-scale evaporation-condensation dynamics resolved by synchrotron x-ray tomography Shahraeeni, Ebrahim; Or, Dani Physical Review E, Vol. 85, Issue 1 https://doi.org/10.1103/PhysRevE.85.016317	journal	January 2012
Effect of pore structure on capillary condensation in a porous medium Deinert, M. R.; Parlange, J-Y. Physical Review E, Vol. 79, Issue 2 https://doi.org/10.1103/PhysRevE.79.021202	journal	February 2009
On the dynamics and kinematics of two‐fluid‐phase flow in porous media Gray, W. G.; Dye, A. L.; McClure, J. E. Water Resources Research, Vol. 51, Issue 7 https://doi.org/10.1002/2015WR016921	journal	July 2015
Lattice-Boltzmann simulations of the capillary pressure–saturation–interfacial area relationship for porous media Porter, Mark L.; Schaap, Marcel G.; Wildenschild, Dorthe Advances in Water Resources, Vol. 32, Issue 11 https://doi.org/10.1016/j.advwatres.2009.08.009	journal	November 2009
Biodegradation during contaminant transport in porous media: 8. The influence of microbial system variability on transport behavior and parameter determination: INFLUENCE OF MICROBIAL VARIABILITY ON CO Brusseau, M. L.; Sandrin, S. K.; Li, L. Water Resources Research, Vol. 42, Issue 4 https://doi.org/10.1029/2005WR004112	journal	April 2006
Pore-scale displacement mechanisms as a source of hysteresis for two-phase flow in porous media: FLUID TOPOLOGY Schlüter, S.; Berg, S.; Rücker, M. Water Resources Research, Vol. 52, Issue 3 https://doi.org/10.1002/2015WR018254	journal	March 2016
Linking pressure and saturation through interfacial areas in porous media Cheng, J. -T. Geophysical Research Letters, Vol. 31, Issue 8 https://doi.org/10.1029/2003GL019282	journal	January 2004
Recent developments on carbon capture and storage: An overview Pires, J. C. M.; Martins, F. G.; Alvim-Ferraz, M. C. M. Chemical Engineering Research and Design, Vol. 89, Issue 9 https://doi.org/10.1016/j.cherd.2011.01.028	journal	September 2011
Earthquake triggering and large-scale geologic storage of carbon dioxide Zoback, M. D.; Gorelick, S. M. Proceedings of the National Academy of Sciences, Vol. 109, Issue 26 https://doi.org/10.1073/pnas.1202473109	journal	June 2012
Toward an improved description of the physics of two-phase flow Majid Hassanizadeh, S.; Gray, William G. Advances in Water Resources, Vol. 16, Issue 1 https://doi.org/10.1016/0309-1708(93)90029-F	journal	January 1993
On Concise 3-D Simple Point Characterizations: A Marching Cubes Paradigm Huang, A. IEEE Transactions on Medical Imaging, Vol. 28, Issue 1 https://doi.org/10.1109/TMI.2008.926062	journal	January 2009
Effect of Capillary Number on the Microstructure of Residual Oil in Strongly Water-Wet Sandstones Chatzis, I.; Kuntamukkula, M. S.; Morrow, N. R. SPE Reservoir Engineering, Vol. 3, Issue 03 https://doi.org/10.2118/13213-PA	journal	August 1988
Computational modelling of polymer electrolyte membrane (PEM) fuel cells: Challenges and opportunities Djilali, N. Energy, Vol. 32, Issue 4 https://doi.org/10.1016/j.energy.2006.08.007	journal	April 2007
Magnitude and Detailed Structure of Residual Oil Saturation Chatzis, Ioannis; Morrow, Norman R.; Lim, Hau T. Society of Petroleum Engineers Journal, Vol. 23, Issue 02 https://doi.org/10.2118/10681-PA	journal	April 1983
Macroscopic capillarity and hysteresis for flow in porous media Hilfer, R. Physical Review E, Vol. 73, Issue 1 https://doi.org/10.1103/PhysRevE.73.016307	journal	January 2006
Measurement and prediction of the relationship between capillary pressure, saturation, and interfacial area in a NAPL-water-glass bead system: CAPILLARY PRESSURE, SATURATION, AND IFA Porter, Mark L.; Wildenschild, Dorthe; Grant, Gavin Water Resources Research, Vol. 46, Issue 8 https://doi.org/10.1029/2009WR007786	journal	August 2010
Uniqueness of Reconstruction of Multiphase Morphologies from Two-Point Correlation Functions Rozman, M. G.; Utz, Marcel Physical Review Letters, Vol. 89, Issue 13 https://doi.org/10.1103/PhysRevLett.89.135501	journal	September 2002
Lattice Boltzmann method for microfluidics: models and applications Zhang, Junfeng Microfluidics and Nanofluidics, Vol. 10, Issue 1 https://doi.org/10.1007/s10404-010-0624-1	journal	April 2010
Microfluidics of imbibition in random porous media Wiklund, H. S.; Uesaka, T. Physical Review E, Vol. 87, Issue 2 https://doi.org/10.1103/PhysRevE.87.023006	journal	February 2013
Impact of structured heterogeneities on reactive two-phase porous flow Reeves, Daniel; Rothman, Daniel H. Physical Review E, Vol. 86, Issue 3 https://doi.org/10.1103/PhysRevE.86.031120	journal	September 2012
The influence of porous medium characteristics and measurement scale on pore-scale distributions of residual nonaqueous-phase liquids Mayer, Alex S.; Miller, Cass T. Journal of Contaminant Hydrology, Vol. 11, Issue 3-4 https://doi.org/10.1016/0169-7722(92)90017-9	journal	November 1992
X-ray imaging and analysis techniques for quantifying pore-scale structure and processes in subsurface porous medium systems Wildenschild, Dorthe; Sheppard, Adrian P. Advances in Water Resources, Vol. 51 https://doi.org/10.1016/j.advwatres.2012.07.018	journal	January 2013
Approximation of interfacial properties in multiphase porous medium systems McClure, J. E.; Adalsteinsson, D.; Pan, C. Advances in Water Resources, Vol. 30, Issue 3 https://doi.org/10.1016/j.advwatres.2006.06.010	journal	March 2007
Fast stable direct fitting and smoothness selection for generalized additive models Wood, Simon N. Journal of the Royal Statistical Society: Series B (Statistical Methodology), Vol. 70, Issue 3 https://doi.org/10.1111/j.1467-9868.2007.00646.x	journal	July 2008
Finite-volume method with lattice Boltzmann flux scheme for incompressible porous media flow at the representative-elementary-volume scale Hu, Yang; Li, Decai; Shu, Shi Physical Review E, Vol. 93, Issue 2 https://doi.org/10.1103/PhysRevE.93.023308	journal	February 2016
Cluster evolution in steady-state two-phase flow in porous media Ramstad, Thomas; Hansen, Alex Physical Review E, Vol. 73, Issue 2 https://doi.org/10.1103/PhysRevE.73.026306	journal	February 2006
A Closed-form Equation for Predicting the Hydraulic Conductivity of Unsaturated Soils1 van Genuchten, M. Th. Soil Science Society of America Journal, Vol. 44, Issue 5 https://doi.org/10.2136/sssaj1980.03615995004400050002x	journal	January 1980
Dynamic network modeling of two-phase drainage in porous media Al-Gharbi, Mohammed S.; Blunt, Martin J. Physical Review E, Vol. 71, Issue 1 https://doi.org/10.1103/PhysRevE.71.016308	journal	January 2005
Pore-Scale Modeling of Nonwetting-Phase Residual in Porous Media Lowry, Michael I.; Miller, Cass T. Water Resources Research, Vol. 31, Issue 3 https://doi.org/10.1029/94WR02849	journal	March 1995
Specific interfacial area: The missing state variable in two-phase flow equations?: INVESTIGATION OF EXTENDED DARCY'S LAW Joekar-Niasar, V.; Hassanizadeh, S. M. Water Resources Research, Vol. 47, Issue 5 https://doi.org/10.1029/2010WR009291	journal	May 2011
Pore-scale modeling extension of constitutive relationships in the range of residual saturations Held, Rudolf J.; Celia, Michael A. Water Resources Research, Vol. 37, Issue 1 https://doi.org/10.1029/2000WR900234	journal	January 2001
Three-dimensional mixed-wet random pore-scale network modeling of two- and three-phase flow in porous media. I. Model description Piri, Mohammad; Blunt, Martin J. Physical Review E, Vol. 71, Issue 2 https://doi.org/10.1103/PhysRevE.71.026301	journal	February 2005
Insights into the Relationships Among Capillary Pressure, Saturation, Interfacial Area and Relative Permeability Using Pore-Network Modeling Joekar-Niasar, V.; Hassanizadeh, S. M.; Leijnse, A. Transport in Porous Media, Vol. 74, Issue 2 https://doi.org/10.1007/s11242-007-9191-7	journal	December 2007
Characterisation of irregular spatial structures by parallel sets and integral geometric measures Arns, C. H.; Knackstedt, M. A.; Mecke, K. R. Colloids and Surfaces A: Physicochemical and Engineering Aspects, Vol. 241, Issue 1-3 https://doi.org/10.1016/j.colsurfa.2004.04.034	journal	July 2004

Cited By (8)

A linear constitutive model for unsaturated poroelasticity by micromechanical analysis Cheng, Alexander H. D. International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 44, Issue 4 https://doi.org/10.1002/nag.3033	journal	December 2019
Porous Media Characterization Using Minkowski Functionals: Theories, Applications and Future Directions Armstrong, Ryan T.; McClure, James E.; Robins, Vanessa Transport in Porous Media, Vol. 130, Issue 1 https://doi.org/10.1007/s11242-018-1201-4	journal	November 2018
Pore‐Scale Modeling of Fluid‐Fluid Interfacial Area in Variably Saturated Porous Media Containing Microscale Surface Roughness Jiang, Hao; Guo, Bo; Brusseau, Mark L. Water Resources Research, Vol. 56, Issue 1 https://doi.org/10.1029/2019wr025876	journal	January 2020
Geometric state function for two-fluid flow in porous media McClure, James E.; Armstrong, Ryan T.; Berrill, Mark A. Physical Review Fluids, Vol. 3, Issue 8 https://doi.org/10.1103/PhysRevFluids.3.084306	journal	August 2018
Toward a New Generation of Two-Fluid Flow Models Based on the Thermodynamically-Constrained Averaging Theory Bruning, Kelsey; Miller, Cass T. Water, Vol. 11, Issue 11 https://doi.org/10.3390/w11112260	journal	October 2019
On the consistency of scale among experiments, theory, and simulation McClure, James E.; Dye, Amanda L.; Miller, Cass T. Hydrology and Earth System Sciences, Vol. 21, Issue 2 https://doi.org/10.5194/hess-21-1063-2017	journal	January 2017
On the consistency of scale among experiments, theory, and simulation G., Gray, William; L., Dye, Amanda; T., Miller, Cass The University of North Carolina at Chapel Hill University Libraries https://doi.org/10.17615/z2kx-d081	text	January 2017
On the Consistency of Scale Among Experiments, Theory, and Simulation McClure, James E.; Dye, Amanda L.; Miller, Cass T. Hydrology and Earth System Sciences Discussions https://doi.org/10.5194/hess-2016-451	journal	September 2016

Similar Records

On the dynamics and kinematics of two-fluid-phase flow in porous media

Journal Article · Tue Jun 16 00:00:00 EDT 2015 · Water Resources Research · OSTI ID:1330524

Gray, W. G.; Dye, A. L.; McClure, J. E.; +2 more

Geometric state function for two-fluid flow in porous media

Journal Article · Thu Aug 30 00:00:00 EDT 2018 · Physical Review Fluids · OSTI ID:1330524

McClure, James E.; Armstrong, Ryan T.; Berrill, Mark A.; +4 more

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

Journal Article · Mon Aug 19 00:00:00 EDT 2019 · Water Resources Research · OSTI ID:1330524

Miller, C. T.; Bruning, K.; Talbot, C. L.; +2 more

Related Subjects

36 MATERIALS SCIENCE
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS

Title: Influence of phase connectivity on the relationship among capillary pressure, fluid saturation, and interfacial area in two-fluid-phase porous medium systems

Citation Formats

References (90)

Cited By (8)

Similar Records

Related Subjects