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 October 15, 2020

Title: A Darcy‐Brinkman‐Biot Approach to Modeling the Hydrology and Mechanics of Porous Media Containing Macropores and Deformable Microporous Regions

Authors:
ORCiD logo [1];  [2]
  1. Department of Chemical and Biological Engineering (CBE)Princeton University Princeton NJ USA
  2. Department of Civil and Environmental Engineering (CEE) and Princeton Environmental Institute (PEI)Princeton University Princeton NJ USA
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1570550
Grant/Contract Number:  
DE‐AC02‐05CH11231
Resource Type:
Publisher's Accepted Manuscript
Journal Name:
Water Resources Research
Additional Journal Information:
Journal Name: Water Resources Research Journal Volume: 55 Journal Issue: 10; Journal ID: ISSN 0043-1397
Publisher:
American Geophysical Union (AGU)
Country of Publication:
United States
Language:
English

Citation Formats

Carrillo, Francisco J., and Bourg, Ian C. A Darcy‐Brinkman‐Biot Approach to Modeling the Hydrology and Mechanics of Porous Media Containing Macropores and Deformable Microporous Regions. United States: N. p., 2019. Web. doi:10.1029/2019WR024712.
Carrillo, Francisco J., & Bourg, Ian C. A Darcy‐Brinkman‐Biot Approach to Modeling the Hydrology and Mechanics of Porous Media Containing Macropores and Deformable Microporous Regions. United States. doi:10.1029/2019WR024712.
Carrillo, Francisco J., and Bourg, Ian C. Wed . "A Darcy‐Brinkman‐Biot Approach to Modeling the Hydrology and Mechanics of Porous Media Containing Macropores and Deformable Microporous Regions". United States. doi:10.1029/2019WR024712.
@article{osti_1570550,
title = {A Darcy‐Brinkman‐Biot Approach to Modeling the Hydrology and Mechanics of Porous Media Containing Macropores and Deformable Microporous Regions},
author = {Carrillo, Francisco J. and Bourg, Ian C.},
abstractNote = {},
doi = {10.1029/2019WR024712},
journal = {Water Resources Research},
number = 10,
volume = 55,
place = {United States},
year = {2019},
month = {10}
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on October 15, 2020
Publisher's Version of Record

Save / Share:

Works referenced in this record:

On the Applicability of DLVO Theory to the Prediction of Clay Colloids Stability
journal, October 2000

  • Missana, Tiziana; Adell, Andrés
  • Journal of Colloid and Interface Science, Vol. 230, Issue 1
  • DOI: 10.1006/jcis.2000.7003

Osmotic Efficiency Coefficients Across Compacted Clays1
journal, January 1966


The swelling of montmorillonite
journal, January 1954


The Use of Clay as an Engineered Barrier in Radioactive-Waste Management – A Review
journal, December 2013


Crossover from fingering to fracturing in deformable disordered media
journal, October 2010


Application of the finite volume method and unstructured meshes to linear elasticity
journal, May 2000


Homo-interaction between parallel plates at constant charge
journal, March 2008

  • Liu, Longcheng; Neretnieks, Ivars
  • Colloids and Surfaces A: Physicochemical and Engineering Aspects, Vol. 317, Issue 1-3
  • DOI: 10.1016/j.colsurfa.2007.11.055

Volume-averaged macroscopic equation for fluid flow in moving porous media
journal, March 2015


Swelling Properties of Montmorillonite and Beidellite Clay Minerals from Molecular Simulation: Comparison of Temperature, Interlayer Cation, and Charge Location Effects
journal, August 2015

  • Teich-McGoldrick, Stephanie L.; Greathouse, Jeffery A.; Jové-Colón, Carlos F.
  • The Journal of Physical Chemistry C, Vol. 119, Issue 36
  • DOI: 10.1021/acs.jpcc.5b03253

Ion Mobilities and Electric Charge of External Clay Surfaces Inferred from Potential Differences and Osmotic Flow1
journal, January 1972


An Experimental Study of the Effects of Diagenetic Clay Minerals on Reservoir Sands
journal, January 1998


From arteries to boreholes: steady-state response of a poroelastic cylinder to fluid injection
journal, May 2017

  • Auton, L. C.; MacMinn, C. W.
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 473, Issue 2201
  • DOI: 10.1098/rspa.2016.0753

The formation factor of reconstructed porous media
journal, June 1992

  • Adler, Pierre M.; Jacquin, Christian G.; Thovert, Jean-François
  • Water Resources Research, Vol. 28, Issue 6
  • DOI: 10.1029/92WR00059

Flow and transport through clay membrane barriers
journal, November 2003


Permeability of crystalline and argillaceous rocks
journal, October 1980

  • Brace, W. F.
  • International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, Vol. 17, Issue 5
  • DOI: 10.1016/0148-9062(80)90807-4

Momentum transfer at the boundary between a porous medium and a homogeneous fluid—I. Theoretical development
journal, September 1995

  • Ochoa-Tapia, J. Alberto; Whitaker, Stephen
  • International Journal of Heat and Mass Transfer, Vol. 38, Issue 14
  • DOI: 10.1016/0017-9310(94)00346-W

Exposure of bentonite to salt solution: osmotic and mechanical effects
journal, December 1996


Prediction of empirical properties using direct pore-scale simulation of straining through 3D microtomography images of porous media
journal, October 2015


Compressional velocity and porosity in sand‐clay mixtures
journal, April 1992


Deformation and fluid flow due to a source in a poro-elastic layer
journal, November 1997


Anisotropic Diffusion in Layered Argillaceous Rocks:  A Case Study with Opalinus Clay
journal, November 2004

  • Van Loon, Luc R.; Soler, Josep M.; Müller, Werner
  • Environmental Science & Technology, Vol. 38, Issue 21
  • DOI: 10.1021/es049937g

Numerical simulation of solid deformation driven by creeping flow using an immersed finite element method
journal, March 2016

  • Rüberg, Thomas; Aznar, José Manuel Garcí
  • Advanced Modeling and Simulation in Engineering Sciences, Vol. 3, Issue 1
  • DOI: 10.1186/s40323-016-0061-0

Functionalization of micromodels with kaolinite for investigation of low salinity oil-recovery processes
journal, January 2015


General conservation equations for multi-phase systems: 1. Averaging procedure
journal, March 1979


A fast variational framework for accurate solid-fluid coupling
journal, July 2007

  • Batty, Christopher; Bertails, Florence; Bridson, Robert
  • ACM Transactions on Graphics, Vol. 26, Issue 3
  • DOI: 10.1145/1276377.1276502

Injection of Fluid Into a Layer of Deformable Porous Medium
journal, October 1995

  • Barry, Steven; Aldis, Geoffrey; Mercer, Geoffry
  • Applied Mechanics Reviews, Vol. 48, Issue 10
  • DOI: 10.1115/1.3005054

A Guide to CO2 Sequestration
journal, June 2003


Can Shale Safely Host U.S. Nuclear Waste?
journal, July 2013

  • Neuzil, C. E.
  • Eos, Transactions American Geophysical Union, Vol. 94, Issue 30
  • DOI: 10.1002/2013EO300001

Transport of Water and Ions Through a Clay Membrane
journal, October 2000

  • Sherwood, J. D.; Craster, B.
  • Journal of Colloid and Interface Science, Vol. 230, Issue 2
  • DOI: 10.1006/jcis.2000.7100

Investigation of the effective permeability of vuggy or fractured porous media from a Darcy-Brinkman approach
journal, October 2014


Mineral dissolution and wormholing from a pore-scale perspective
journal, August 2017

  • Soulaine, Cyprien; Roman, Sophie; Kovscek, Anthony
  • Journal of Fluid Mechanics, Vol. 827
  • DOI: 10.1017/jfm.2017.499

Rheological analysis of water clay compositions in order to investigate mudflows developing in canals
journal, January 2009

  • Maciel, Geraldo de F.; Santos, Hamilton Kiryu dos; Ferreira, Fabiana de O.
  • Journal of the Brazilian Society of Mechanical Sciences and Engineering, Vol. 31, Issue 1
  • DOI: 10.1590/S1678-58782009000100010

Flow-induced compaction of a deformable porous medium
journal, February 2016


Phase Field Model of Hydraulic Fracturing in Poroelastic Media: Fracture Propagation, Arrest, and Branching Under Fluid Injection and Extraction
journal, March 2018

  • Santillán, David; Juanes, Ruben; Cueto-Felgueroso, Luis
  • Journal of Geophysical Research: Solid Earth, Vol. 123, Issue 3
  • DOI: 10.1002/2017JB014740

Preferential Mode of gas invasion in sediments: Grain-scale mechanistic model of coupled multiphase fluid flow and sediment mechanics
journal, January 2009

  • Jain, A. K.; Juanes, R.
  • Journal of Geophysical Research, Vol. 114, Issue B8
  • DOI: 10.1029/2008JB006002

General Theory of Three‐Dimensional Consolidation
journal, February 1941

  • Biot, Maurice A.
  • Journal of Applied Physics, Vol. 12, Issue 2
  • DOI: 10.1063/1.1712886

A tensorial approach to computational continuum mechanics using object-oriented techniques
journal, January 1998

  • Weller, H. G.; Tabor, G.; Jasak, H.
  • Computers in Physics, Vol. 12, Issue 6
  • DOI: 10.1063/1.168744

Microstructural analysis of inherent and induced anisotropy in clay
journal, January 2000


Diffusion of Salts in Clay-Water Systems1
journal, January 1966


Revisiting poromechanics in the context of microporous materials
journal, December 2011

  • Pijaudier-Cabot, Gilles; Vermorel, Romain; Miqueu, Christelle
  • Comptes Rendus Mécanique, Vol. 339, Issue 12
  • DOI: 10.1016/j.crme.2011.09.003

Hydraulic functions for swelling soils: pore scale considerations
journal, March 2003


Micro-structure and hydraulic conductivity of simulated sand-bentonite mixtures
journal, October 2002


Practical significance of brinkman's extension of darcy's law: Coupled parallel flows within a channel and a bounding porous medium
journal, August 1974

  • Neale, Graham; Nader, Walter
  • The Canadian Journal of Chemical Engineering, Vol. 52, Issue 4
  • DOI: 10.1002/cjce.5450520407

Random Packings and the Structure of Simple Liquids. I. The Geometry of Random Close Packing
journal, November 1970

  • Finney, J. L.
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 319, Issue 1539
  • DOI: 10.1098/rspa.1970.0189

Critical review of the impact of tortuosity on diffusion
journal, July 2007


Prediction of swelling pressures of different types of bentonite in dilute solutions
journal, October 2013


Coupling Biot and Navier–Stokes equations for modelling fluid–poroelastic media interaction
journal, November 2009

  • Badia, Santiago; Quaini, Annalisa; Quarteroni, Alfio
  • Journal of Computational Physics, Vol. 228, Issue 21
  • DOI: 10.1016/j.jcp.2009.07.019

Surface Areas of Clay Minerals as Derived from Measurements of Glycerol Retention
journal, January 1956


Microstructural and petrophysical properties of the Permo-Triassic sandstones (Buntsandstein) from the Soultz-sous-Forêts geothermal site (France)
journal, November 2017

  • Heap, Michael J.; Kushnir, Alexandra R. L.; Gilg, H. Albert
  • Geothermal Energy, Vol. 5, Issue 1
  • DOI: 10.1186/s40517-017-0085-9

Experimentally determined swelling pressures and geochemical interactions of compacted Wyoming bentonite with highly alkaline solutions
journal, January 2007

  • Karnland, Ola; Olsson, Siv; Nilsson, Ulf
  • Physics and Chemistry of the Earth, Parts A/B/C, Vol. 32, Issue 1-7
  • DOI: 10.1016/j.pce.2006.01.012

Rheology of concentrated dispersed systems in a low molecular weight matrix
journal, April 1993


The effect of microporosity on transport properties in porous media
journal, January 2014


Biofilm deformation in response to fluid flow in capillaries
journal, April 2011

  • Vo, Garret D.; Heys, Jeffrey
  • Biotechnology and Bioengineering, Vol. 108, Issue 8
  • DOI: 10.1002/bit.23139

Universal scaling of fluid permeability for sphere packings
journal, July 1994


Micro-continuum Framework for Pore-Scale Multiphase Fluid Transport in Shale Formations
journal, October 2018

  • Soulaine, Cyprien; Creux, Patrice; Tchelepi, Hamdi A.
  • Transport in Porous Media, Vol. 127, Issue 1
  • DOI: 10.1007/s11242-018-1181-4

Permeability–porosity relationship from a geometrical model of shrinking and lattice Boltzmann and Monte Carlo simulations of flow in two-dimensional pore networks
journal, August 2005

  • Quispe, Javier R.; Rozas, Roberto E.; Toledo, Pedro G.
  • Chemical Engineering Journal, Vol. 111, Issue 2-3
  • DOI: 10.1016/j.cej.2005.02.003

Foreword
journal, June 1948


Dlvo and hydration forces between mica surfaces in Mg2+, Ca2+, Sr2+, and Ba2+ chloride solutions
journal, February 1984


Quantification of sub-resolution porosity in carbonate rocks by applying high-salinity contrast brine using X-ray microtomography differential imaging
journal, October 2016


Imaged-based multiscale network modelling of microporosity in carbonates
journal, June 2014

  • Prodanović, Maša; Mehmani, Ayaz; Sheppard, Adrian P.
  • Geological Society, London, Special Publications, Vol. 406, Issue 1
  • DOI: 10.1144/SP406.9

A comprehensive computational model of sound transmission through the porcine lung
journal, September 2014

  • Dai, Zoujun; Peng, Ying; Henry, Brian M.
  • The Journal of the Acoustical Society of America, Vol. 136, Issue 3
  • DOI: 10.1121/1.4890647

3D imaging of porous media using laser scanning confocal microscopy with application to microscale transport processes
journal, January 1999


Soil Permeability in Relation to Sodicity and Salinity [and Discussion]
journal, February 1986

  • Quirk, J. P.; Pereira, C.; Tanton, T. W.
  • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 316, Issue 1537
  • DOI: 10.1098/rsta.1986.0010

Enhanced Oil Recovery: An Update Review
journal, August 2010

  • Alvarado, Vladimir; Manrique, Eduardo
  • Energies, Vol. 3, Issue 9
  • DOI: 10.3390/en3091529

Boundary conditions at a naturally permeable wall
journal, October 1967


Multiscale flow and deformation in hydrophilic swelling porous media
journal, February 1996


Tracer diffusion in compacted, water-saturated bentonite
journal, June 2006

  • Bourg, Ian C.; Sposito, Garrison; Bourg, Alain C. M.
  • Clays and Clay Minerals, Vol. 54, Issue 3
  • DOI: 10.1346/CCMN.2006.0540307

Hydraulic conductivity of clays in confined tests under low hydraulic gradients
journal, November 1999

  • Dixon, D. A.; Graham, J.; Gray, M. N.
  • Canadian Geotechnical Journal, Vol. 36, Issue 5
  • DOI: 10.1139/t99-057

A method for estimating microporosity of fine-grained sediments and sedimentary rocks via scanning electron microscope image analysis
journal, April 2016

  • Nole, Michael; Daigle, Hugh; Milliken, Kitty L.
  • Sedimentology, Vol. 63, Issue 6
  • DOI: 10.1111/sed.12271

Constitutive equations for coupled flows in clay materials: COUPLED FLOWS IN CLAYS
journal, May 2011

  • Revil, A.; Woodruff, W. F.; Lu, N.
  • Water Resources Research, Vol. 47, Issue 5
  • DOI: 10.1029/2010WR010002

Flow-induced deformation from pressurized cavities in absorbing porous tissues
journal, November 1992

  • Barry, S. I.; Aldis, G. K.
  • Bulletin of Mathematical Biology, Vol. 54, Issue 6
  • DOI: 10.1007/BF02460662

Experimental compaction of clays: relationship between permeability and petrophysical properties in mudstones
journal, November 2008

  • Mondol, Nazmul Haque; Bjørlykke, Knut; Jahren, Jens
  • Petroleum Geoscience, Vol. 14, Issue 4
  • DOI: 10.1144/1354-079308-773

Geomechanical Behavior of Caprock and Cement: Plasticity in Hydrodynamic Seals
journal, January 2014


Particle packing and organization of the textural porosity in clay-silt-sand mixtures
journal, December 1998


Impact of coating development on the hydraulic and transport properties in argillaceous limestone fracture: DISSOLUTION IN ARGILLACEOUS LIMESTONE FRACTURE
journal, September 2007

  • Noiriel, Catherine; Madé, Benoît; Gouze, Philippe
  • Water Resources Research, Vol. 43, Issue 9
  • DOI: 10.1029/2006WR005379

Knudsen self- and Fickian diffusion in rough nanoporous media
journal, August 2003

  • Malek, Kourosh; Coppens, Marc-Olivier
  • The Journal of Chemical Physics, Vol. 119, Issue 5, p. 2801-2811
  • DOI: 10.1063/1.1584652

The swelling behaviour of clays
journal, June 1989


Adsorption of Water Vapor: ii. Clays at 25°c
journal, January 1954


Permeability of shaly sands
journal, March 1999

  • Revil, A.; Cathles, L. M.
  • Water Resources Research, Vol. 35, Issue 3
  • DOI: 10.1029/98WR02700

Formation and Restacking of Disordered Smectite Osmotic Hydrates
journal, December 2015

  • Gilbert, Benjamin; Comolli, Luis R.; Tinnacher, Ruth M.
  • Clays and Clay Minerals, Vol. 63, Issue 6
  • DOI: 10.1346/CCMN.2015.0630602

Tracer diffusion coefficients in sedimentary rocks: correlation to porosity and hydraulic conductivity
journal, December 2001


Permeability of illite-bearing shale: 2. Influence of fluid chemistry on flow and functionally connected pores: SHALE PERMEABILITY AND FLUID CHEMISTRY
journal, October 2004

  • Kwon, Ohmyoung; Herbert, Bruce E.; Kronenberg, Andreas K.
  • Journal of Geophysical Research: Solid Earth, Vol. 109, Issue B10
  • DOI: 10.1029/2004JB003055

Generalized network modeling: Network extraction as a coarse-scale discretization of the void space of porous media
journal, July 2017


Permeability Reduction Through Changes in pH and Salinity
journal, December 1965

  • Mungan, Necmettin
  • Journal of Petroleum Technology, Vol. 17, Issue 12
  • DOI: 10.2118/1283-PA

Anion exclusion effects in compacted bentonites: Towards a better understanding of anion diffusion
journal, November 2007


Characterization of multi-scale microstructural features in Opalinus Clay
journal, April 2013


A Critique of Diffuse Double Layer Models Applied to Colloid and Surface Chemistry
journal, January 1997


The Beavers–Joseph Boundary Condition and Related Matters: A Historical and Critical Note
journal, February 2009


Nitrogen Adsorption Experiments on Several clay Minerals
journal, January 1955


Image-based micro-continuum model for gas flow in organic-rich shale rock
journal, December 2018


Pore-scale modelling of multiphase reactive flow: application to mineral dissolution with production of
journal, September 2018

  • Soulaine, Cyprien; Roman, Sophie; Kovscek, Anthony
  • Journal of Fluid Mechanics, Vol. 855
  • DOI: 10.1017/jfm.2018.655

Finite element methods for flow problems with moving boundaries and interfaces
journal, June 2001

  • Tezduyar, Tayfun E.
  • Archives of Computational Methods in Engineering, Vol. 8, Issue 2
  • DOI: 10.1007/BF02897870

Multiscale, Multiphysics Network Modeling of Shale Matrix Gas Flows
journal, June 2013

  • Mehmani, Ayaz; Prodanović, Maša; Javadpour, Farzam
  • Transport in Porous Media, Vol. 99, Issue 2
  • DOI: 10.1007/s11242-013-0191-5

Clay, Water, and Salt: Controls on the Permeability of Fine-Grained Sedimentary Rocks
journal, August 2017


A Review of Mixture Theory for Deformable Porous Media and Applications
journal, September 2017

  • Siddique, Javed; Ahmed, Aftab; Aziz, Asim
  • Applied Sciences, Vol. 7, Issue 9
  • DOI: 10.3390/app7090917

In situ observations of the swelling of bentonite aggregates in NaCl solution
journal, April 2005


Mechanisms Controlling the Permeability of Clays
journal, January 1971


Thermal dispersion in a porous medium
journal, August 1990


An examination of the rheology of flocculated clay suspensions
journal, March 2017


A relation of hydraulic conductivity — void ratio for soils based on Kozeny-Carman equation
journal, November 2016


Strength, porosity, and permeability development during hydrostatic and shear loading of synthetic quartz-clay fault gouge
journal, January 2008

  • Crawford, B. R.; Faulkner, D. R.; Rutter, E. H.
  • Journal of Geophysical Research, Vol. 113, Issue B3
  • DOI: 10.1029/2006JB004634

The London—van der Waals attraction between spherical particles
journal, October 1937


Dynamics of Swelling and Drying in a Spherical Gel
journal, December 2016


Derivation of basic equations of mass transport in porous media, Part 1. Macroscopic balance laws
journal, December 1986


Polymers in the gut compress the colonic mucus hydrogel
journal, June 2016

  • Datta, Sujit S.; Preska Steinberg, Asher; Ismagilov, Rustem F.
  • Proceedings of the National Academy of Sciences, Vol. 113, Issue 26
  • DOI: 10.1073/pnas.1602789113

Micro-continuum Approach for Pore-Scale Simulation of Subsurface Processes
journal, May 2016


Short- and Long-Range Attractive Forces That Influence the Structure of Montmorillonite Osmotic Hydrates
journal, November 2016