Eulerian network modeling of longitudinal dispersion: EULERIAN NETWORK MODELING OF DISPERSION

Mehmani, Yashar; Balhoff, Matthew T.

doi:10.1002/2015WR017543

Title: Eulerian network modeling of longitudinal dispersion: EULERIAN NETWORK MODELING OF DISPERSION

Abstract

Abstract A novel Eulerian network model that incorporates “shear dispersion,” the stretching of solute due to nonuniform velocity profiles within pore throats is developed. The superposing transport method (STM) is nonlocal in time (i.e., uses information from several previous time steps) and is equivalent to performing network‐wide time convolutions of elementary throat response functions. Predicted macroscopic longitudinal dispersion coefficients for disordered sphere packs are in good agreement with published experimental data. We further investigate the impact of mixing assumptions within pores on macroscopic longitudinal dispersion and find the dependence to be weak for disordered sphere packs. Limitations of Eulerian network models as a whole are also discussed, and their inappropriateness for ordered porous media concluded.

Authors:

Mehmani, Yashar ^[1]; Balhoff, Matthew T. ^[2]

Stanford Univ., CA (United States). Dept. of Energy Resources Engineering
Univ. of Texas, Austin, TX (United States). Dep.t of Petroleum and Geosystems Engineering

Publication Date:: 2015-10-01

Research Org.:: Energy Frontier Research Centers (EFRC) (United States). Center for Frontiers of Subsurface Energy Security (CFSES)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

OSTI Identifier:: 1371116

Alternate Identifier(s):: OSTI ID: 1402157

Grant/Contract Number:: SC0001114

Resource Type:: Accepted Manuscript

Journal Name:: Water Resources Research

Additional Journal Information:: Journal Volume: 51; Journal Issue: 10; Related Information: CFSES partners with University of Texas at Austin (lead); Sandia National Laboratory; Journal ID: ISSN 0043-1397

Publisher:: American Geophysical Union (AGU)

Country of Publication:: United States

Language:: English

Subject:: 58 GEOSCIENCES; nuclear (including radiation effects); carbon sequestration

Citation Formats


                    Mehmani, Yashar, and Balhoff, Matthew T. Eulerian network modeling of longitudinal dispersion: EULERIAN NETWORK MODELING OF DISPERSION.  United States: N. p., 2015. 
Web.  doi:10.1002/2015WR017543.

Copy to clipboard


                    Mehmani, Yashar, & Balhoff, Matthew T. Eulerian network modeling of longitudinal dispersion: EULERIAN NETWORK MODELING OF DISPERSION.  United States.  https://doi.org/10.1002/2015WR017543

Copy to clipboard


                    Mehmani, Yashar, and Balhoff, Matthew T. Thu .  
"Eulerian network modeling of longitudinal dispersion: EULERIAN NETWORK MODELING OF DISPERSION".  United States.  https://doi.org/10.1002/2015WR017543.  https://www.osti.gov/servlets/purl/1371116.

Copy to clipboard


                    
@article{osti_1371116,

  title        = {Eulerian network modeling of longitudinal dispersion: EULERIAN NETWORK MODELING OF DISPERSION},

  author       = {Mehmani, Yashar and Balhoff, Matthew T.},

  abstractNote = {Abstract A novel Eulerian network model that incorporates “shear dispersion,” the stretching of solute due to nonuniform velocity profiles within pore throats is developed. The superposing transport method (STM) is nonlocal in time (i.e., uses information from several previous time steps) and is equivalent to performing network‐wide time convolutions of elementary throat response functions. Predicted macroscopic longitudinal dispersion coefficients for disordered sphere packs are in good agreement with published experimental data. We further investigate the impact of mixing assumptions within pores on macroscopic longitudinal dispersion and find the dependence to be weak for disordered sphere packs. Limitations of Eulerian network models as a whole are also discussed, and their inappropriateness for ordered porous media concluded.},

  doi          = {10.1002/2015WR017543},

  journal      = {Water Resources Research},

  number       = 10,

  volume       = 51,

  place        = {United States},

  year         = {2015},

  month        = {10}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.1002/2015WR017543

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 17 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

The inclusion of molecular diffusion effects in the network modelling of hydrodynamic dispersion in porous media
journal, January 1991

Sorbie, K. S.; Clifford, P. J.
Chemical Engineering Science, Vol. 46, Issue 10
DOI: 10.1016/0009-2509(91)80046-2

A theory of dispersion in a porous medium
journal, October 1959

Saffman, P. G.
Journal of Fluid Mechanics, Vol. 6, Issue 03
DOI: 10.1017/S0022112059000672

Some remarks on longitudinal mixing or diffusion in fixed beds
journal, June 1957

Aris, Rutherford; Amundson, Neal R.
AIChE Journal, Vol. 3, Issue 2
DOI: 10.1002/aic.690030226

Simplified numerical model for clarifying scaling behavior in the intermediate dispersion regime in homogeneous porous media
journal, December 2014

van Milligen, B. Ph.; Bons, P. D.
Computer Physics Communications, Vol. 185, Issue 12
DOI: 10.1016/j.cpc.2014.09.006

Mesoscale and Hybrid Models of Fluid Flow and Solute Transport
journal, January 2015

Mehmani, Yashar; Balhoff, Matthew T.
Reviews in Mineralogy and Geochemistry, Vol. 80, Issue 1
DOI: 10.2138/rmg.2015.80.13

Comparison of Network Generation Techniques for Unconsolidated Porous Media
journal, January 2003

Al-Raoush, Riyadh; Thompson, Karsten; Willson, Clinton S.
Soil Science Society of America Journal, Vol. 67, Issue 6
DOI: 10.2136/sssaj2003.1687

Approximate residence time distribution of fully develop laminar flow in a straight rectangular channel
journal, June 2010

Wörner, Martin
Chemical Engineering Science, Vol. 65, Issue 11
DOI: 10.1016/j.ces.2010.02.047

Multiblock Pore-Scale Modeling and Upscaling of Reactive Transport: Application to Carbon Sequestration
journal, August 2012

Mehmani, Y.; Sun, T.; Balhoff, M. T.
Transport in Porous Media, Vol. 95, Issue 2
DOI: 10.1007/s11242-012-0044-7

A critical review of dispersion in packed beds
journal, September 2005

Delgado, J. M. P. Q.
Heat and Mass Transfer, Vol. 42, Issue 4
DOI: 10.1007/s00231-005-0019-0

A table of integrals of the Error functions
journal, January 1969

Ng, Edward W.; Geller, Murray
Journal of Research of the National Bureau of Standards, Section B: Mathematical Sciences, Vol. 73B, Issue 1
DOI: 10.6028/jres.073B.001

Effect of Diffusion on Dispersion
journal, March 2011

Jha, Raman K.; Bryant, Steven; Lake, Larry W.
SPE Journal, Vol. 16, Issue 01
DOI: 10.2118/115961-PA

The diffusion model of longitudinal mixing in beds of finite length. Numerical values
journal, April 1962

Brenner, Howard
Chemical Engineering Science, Vol. 17, Issue 4
DOI: 10.1016/0009-2509(62)85002-7

Dispersion in fixed beds
journal, May 1985

Koch, Donald L.; Brady, John F.
Journal of Fluid Mechanics, Vol. 154
DOI: 10.1017/S0022112085001598

Efficient flow and transport simulations in reconstructed 3D pore geometries
journal, December 2010

Zaretskiy, Yan; Geiger, Sebastian; Sorbie, Ken
Advances in Water Resources, Vol. 33, Issue 12
DOI: 10.1016/j.advwatres.2010.08.008

Predicting Solute Transport in Structured Soil Using Pore Network Models
journal, January 2011

Köhne, J. Maximilian; Schlüter, Steffen; Vogel, Hans-Jörg
Vadose Zone Journal, Vol. 10, Issue 3
DOI: 10.2136/vzj2010.0158

Approaches for modeling longitudinal dispersion in pore-networks
journal, February 2007

Acharya, R. C.; Van der Zee, S. E. A. T. M.; Leijnse, A.
Advances in Water Resources, Vol. 30, Issue 2
DOI: 10.1016/j.advwatres.2005.11.015

Pore-scale modeling of longitudinal dispersion: PORE-SCALE MODELING OF LONGITUDINAL DISPERSION
journal, November 2004

Bijeljic, Branko; Muggeridge, Ann H.; Blunt, Martin J.
Water Resources Research, Vol. 40, Issue 11
DOI: 10.1029/2004WR003567

Analytical model for tracer dispersion in porous media
journal, January 2012

van Milligen, B. Ph.; Bons, P. D.
Physical Review E, Vol. 85, Issue 1
DOI: 10.1103/PhysRevE.85.011306

Three-dimensional particle tracking velocimetry studies of the transition from pore dispersion to Fickian Dispersion for homogeneous porous media
journal, April 2001

Moroni, Monica; Cushman, John H.
Water Resources Research, Vol. 37, Issue 4
DOI: 10.1029/2000WR900364

Network modeling of dispersion: Transition from Taylor Dispersion in homogeneous networks to mechanical dispersion in very heterogeneous ones
journal, April 2001

Bruderer, Céline; Bernabé, Yves
Water Resources Research, Vol. 37, Issue 4
DOI: 10.1029/2000WR900362

Upscaling geochemical reaction rates using pore-scale network modeling
journal, September 2006

Li, Li; Peters, Catherine A.; Celia, Michael A.
Advances in Water Resources, Vol. 29, Issue 9
DOI: 10.1016/j.advwatres.2005.10.011

Solute dispersion under electric and pressure driven flows; pore scale processes
journal, September 2014

Li, Shuai; Raoof, Amir; Schotting, Ruud
Journal of Hydrology, Vol. 517
DOI: 10.1016/j.jhydrol.2014.06.049

Continuous flow systems
journal, February 1953

Danckwerts, P. V.
Chemical Engineering Science, Vol. 2, Issue 1
DOI: 10.1016/0009-2509(53)80001-1

Simulation of Flow and Dispersion on Pore-Space Images
journal, December 2012

Mostaghimi, Peyman; Bijeljic, Branko; Blunt, Martin
SPE Journal, Vol. 17, Issue 04
DOI: 10.2118/135261-PA

Flux-Averaged and Volume-Averaged Concentrations in Continuum Approaches to Solute Transport
journal, July 1984

Parker, J. C.; van Genuchten, M. Th.
Water Resources Research, Vol. 20, Issue 7
DOI: 10.1029/WR020i007p00866

Generalized semi-analytical solution of advection–diffusion–reaction in finite and semi-infinite cylindrical ducts
journal, November 2014

Mehmani, Yashar; Balhoff, Matthew T.
International Journal of Heat and Mass Transfer, Vol. 78
DOI: 10.1016/j.ijheatmasstransfer.2014.07.082

A Review of Diffusion and Dispersion in Porous Media
journal, March 1963

Perkins, T. K.; Johnston, O. C.
Society of Petroleum Engineers Journal, Vol. 3, Issue 01
DOI: 10.2118/480-PA

A streamline splitting pore-network approach for computationally inexpensive and accurate simulation of transport in porous media
journal, March 2014

Mehmani, Yashar; Oostrom, Mart; Balhoff, Matthew T.
Water Resources Research, Vol. 50, Issue 3
DOI: 10.1002/2013WR014984

Residence Time Distribution Models Derived from Non-Ideal Laminar Velocity Profiles in Tubes
journal, June 2012

Pegoraro, P. R.; Marangoni, M.; Gut, J. A. W.
Chemical Engineering & Technology, Vol. 35, Issue 9
DOI: 10.1002/ceat.201200057

Numerical derivation of dispersion coefficients for flow through three-dimensional randomly packed beds of monodisperse spheres
journal, November 2013

Jourak, Amir; Hellström, J. Gunnar I.; Lundström, T. Staffan
AIChE Journal, Vol. 60, Issue 2
DOI: 10.1002/aic.14284

Quantification of longitudinal dispersion by upscaling Brownian motion of tracer displacement in a 3D pore-scale network model
journal, February 2007

Acharya, R. C.; van Dijke, M. I. J.; Sorbie, K. S.
Advances in Water Resources, Vol. 30, Issue 2
DOI: 10.1016/j.advwatres.2005.04.017

Hydrodynamic dispersion in confined packed beds
journal, December 2003

Maier, Robert S.; Kroll, Daniel M.; Bernard, Robert S.
Physics of Fluids, Vol. 15, Issue 12
DOI: 10.1063/1.1624836

Upscaling geochemical reaction rates accompanying acidic CO ₂ -saturated brine flow in sandstone aquifers : UPSCALING GEOCHEMICAL REACTION RATES
journal, January 2011

Kim, D.; Peters, C. A.; Lindquist, W. B.
Water Resources Research, Vol. 47, Issue 1
DOI: 10.1029/2010WR009472

A general unified expression for solute and heat dispersion in homogeneous porous media: A General Unified Expression for Solute and Heat Dispersion
journal, October 2013

Bons, Paul Dirk; van Milligen, Boudewijn Philip; Blum, Philipp
Water Resources Research, Vol. 49, Issue 10
DOI: 10.1002/wrcr.20488

Inertial effects in dispersion in porous media: INERTIAL EFFECTS IN DISPERSION IN POROUS
journal, December 2007

Wood, Brian D.
Water Resources Research, Vol. 43, Issue 12
DOI: 10.1029/2006WR005790

A Physically-Based Description of Dispersion in Porous Media
conference, April 2013

Bijeljic, Branko; Blunt, Martin Julian
SPE Annual Technical Conference and Exhibition
DOI: 10.2118/102869-MS

Pore network modelling of the behaviour of a solute in chromatography media: transient and steady-state diffusion properties
journal, February 2002

Bryntesson, L. Mattias
Journal of Chromatography A, Vol. 945, Issue 1-2
DOI: 10.1016/S0021-9673(01)01485-6

Permeability evolution due to dissolution and precipitation of carbonates using reactive transport modeling in pore networks: Permeability evolution due to reaction of carbonates
journal, September 2013

Nogues, Juan P.; Fitts, Jeffrey P.; Celia, Michael A.
Water Resources Research, Vol. 49, Issue 9
DOI: 10.1002/wrcr.20486

Dispersion in flow through porous media—I. One-phase flow
journal, January 1986

Sahimi, Muhammad; Hughes, Barry D.; Scriven, L. E.
Chemical Engineering Science, Vol. 41, Issue 8
DOI: 10.1016/0009-2509(86)87128-7

Similar Records in DOE PAGES and OSTI.GOV collections:

Effect of Network Structure on Characterization and Flow Modeling Using X-ray Micro-Tomography Images of Granular and Fibrous Porous Media

Journal Article Bhattad, Pradeep ; Willson, Clinton S ; Thompson, Karsten E - Transport in Porous Media

Image-based network modeling has become a powerful tool for modeling transport in real materials that have been imaged using X-ray computed micro-tomography (XCT) or other three-dimensional imaging techniques. Network generation is an essential part of image-based network modeling, but little quantitative work has been done to understand the influence of different network structures on modeling. We use XCT images of three different porous materials (disordered packings of spheres, sand, and cylinders) to create a series of four networks for each material. Despite originating from the same data, the networks can be made to vary over two orders of magnitude inmore »« less
https://doi.org/10.1007/s11242-011-9789-7
Physically representative network models of transport in porous media

Journal Article Bryant, S L ; Mellor, D W ; Cade, C A - AIChE Journal (American Institute of Chemical Engineers); (United States)

The authors calculate permeabilities for a class of granular porous media derived from a real, disordered packing of equal spheres. The entire structure, including pore space, of these media is completely specified by the radii and spatial locations of the constituent grains. When geometric nearest neighbor grains are grouped together, the structure may be subdivided into pore bodies and pore throats in a natural and unambiguous way. From this subdivision one can establish a network of flow paths whose geometry and topology are completely specified, so that permeability and other transport coefficients can be calculated directly and without any adjustablemore »« less
https://doi.org/10.1002/aic.690390303
Magnitude and detailed structure of residual oil saturation

Journal Article Chatzis, I ; Lim, H T ; Morrow, N R - Soc. Pet. Eng. AIME, Pap.; (United States)

Experimental results are presented that demonstrate the effect on residual oil, under water-wet conditions, of particle size, particle-size distribution, macroscopic and microscopic heterogeneities, microscopic dimensions such as ratio of pore-body to pore-throat size, and pore-to-pore coordination number. Experiments were performed in random packs of equal spheres, heterogeneous packs of spheres with microscopic and macroscopic heterogeneities, two-dimensional (2D) capillary networks having various pore geometries, and Berea sandstone. Detailed information on residual oil structure is presented, including blob-size distributions of residual oil. Major conclusions are (1) residual saturations are independent of absolute pore size, per se, in systems of similar pore geometry;more »« less
https://doi.org/10.2118/10681-PA
Magnitude and detailed structure of residual oil saturation

Journal Article Chatzis, I ; Lim, H T ; Morrow, N R - SPEJ, Soc. Pet. Eng. J.; (United States)

Experimental results are presented that demonstrate the effect on residual oil, under water-wet conditions, of particle size, particle-size distribution, macroscopic and microscopic heterogeneities, microscopic dimensions such as ratio of pore-body to pore-throat size, and pore-to-pore coordination number. Experiments were performed in random packs of equal spheres, heterogeneous packs of spheres with microscopic and macroscopic heterogeneities, two-dimensional (2D) capillary networks having various pore geometries, and Berea sandstone. Detailed information on residual oil structure is presented, including blob-size distributions of residual oil. Major conclusions are: residual saturations are independent of absolute pore size, per se, in systems of similar pore geometry; well-mixedmore »« less
https://doi.org/10.2118/10681-PA
Magnitude and detailed structure of residual oil saturation

Conference Chatzis, I ; Morrow, N R ; Lim, H T - Soc. Pet. Eng. AIME, Pap.; (United States)

Experimental results are presented which demonstrate the effect on residual oil, under water-wet conditions, of particle size, particle size distribution, macroscopic and microscopic heterogeneities, microscopic dimensions such as ratio of pore body to pore throat size, and pore-to-pore coordination number. Experiments were performed in random packs of equal spheres, heterogeneous packs of spheres with microscopic and macroscopic heterogeneities, two-dimensional capillary networks having various pore geometries, and Berea sandstone. Detailed information on residual oil structure is presented, including blob size distributions of residual oil. Major conclusions are: (1) residual saturationds are independent of absolute pore size, per se, in systems ofmore »« less

Similar Records

Title: Eulerian network modeling of longitudinal dispersion: EULERIAN NETWORK MODELING OF DISPERSION

Abstract

Citation Formats

The inclusion of molecular diffusion effects in the network modelling of hydrodynamic dispersion in porous media journal, January 1991

A theory of dispersion in a porous medium journal, October 1959

Some remarks on longitudinal mixing or diffusion in fixed beds journal, June 1957

Simplified numerical model for clarifying scaling behavior in the intermediate dispersion regime in homogeneous porous media journal, December 2014

Mesoscale and Hybrid Models of Fluid Flow and Solute Transport journal, January 2015

Comparison of Network Generation Techniques for Unconsolidated Porous Media journal, January 2003

Approximate residence time distribution of fully develop laminar flow in a straight rectangular channel journal, June 2010

Multiblock Pore-Scale Modeling and Upscaling of Reactive Transport: Application to Carbon Sequestration journal, August 2012

A critical review of dispersion in packed beds journal, September 2005

A table of integrals of the Error functions journal, January 1969

Effect of Diffusion on Dispersion journal, March 2011

The diffusion model of longitudinal mixing in beds of finite length. Numerical values journal, April 1962

Dispersion in fixed beds journal, May 1985

Efficient flow and transport simulations in reconstructed 3D pore geometries journal, December 2010

Predicting Solute Transport in Structured Soil Using Pore Network Models journal, January 2011

Approaches for modeling longitudinal dispersion in pore-networks journal, February 2007

Pore-scale modeling of longitudinal dispersion: PORE-SCALE MODELING OF LONGITUDINAL DISPERSION journal, November 2004

Analytical model for tracer dispersion in porous media journal, January 2012

Three-dimensional particle tracking velocimetry studies of the transition from pore dispersion to Fickian Dispersion for homogeneous porous media journal, April 2001

Network modeling of dispersion: Transition from Taylor Dispersion in homogeneous networks to mechanical dispersion in very heterogeneous ones journal, April 2001

Upscaling geochemical reaction rates using pore-scale network modeling journal, September 2006

Solute dispersion under electric and pressure driven flows; pore scale processes journal, September 2014

Continuous flow systems journal, February 1953

Simulation of Flow and Dispersion on Pore-Space Images journal, December 2012

Flux-Averaged and Volume-Averaged Concentrations in Continuum Approaches to Solute Transport journal, July 1984

Generalized semi-analytical solution of advection–diffusion–reaction in finite and semi-infinite cylindrical ducts journal, November 2014

A Review of Diffusion and Dispersion in Porous Media journal, March 1963

A streamline splitting pore-network approach for computationally inexpensive and accurate simulation of transport in porous media journal, March 2014

Residence Time Distribution Models Derived from Non-Ideal Laminar Velocity Profiles in Tubes journal, June 2012

Numerical derivation of dispersion coefficients for flow through three-dimensional randomly packed beds of monodisperse spheres journal, November 2013

Quantification of longitudinal dispersion by upscaling Brownian motion of tracer displacement in a 3D pore-scale network model journal, February 2007

Hydrodynamic dispersion in confined packed beds journal, December 2003

Upscaling geochemical reaction rates accompanying acidic CO 2 -saturated brine flow in sandstone aquifers : UPSCALING GEOCHEMICAL REACTION RATES journal, January 2011

A general unified expression for solute and heat dispersion in homogeneous porous media: A General Unified Expression for Solute and Heat Dispersion journal, October 2013

Inertial effects in dispersion in porous media: INERTIAL EFFECTS IN DISPERSION IN POROUS journal, December 2007

A Physically-Based Description of Dispersion in Porous Media conference, April 2013

Pore network modelling of the behaviour of a solute in chromatography media: transient and steady-state diffusion properties journal, February 2002

Permeability evolution due to dissolution and precipitation of carbonates using reactive transport modeling in pore networks: Permeability evolution due to reaction of carbonates journal, September 2013

Dispersion in flow through porous media—I. One-phase flow journal, January 1986

The inclusion of molecular diffusion effects in the network modelling of hydrodynamic dispersion in porous media
journal, January 1991

A theory of dispersion in a porous medium
journal, October 1959

Some remarks on longitudinal mixing or diffusion in fixed beds
journal, June 1957

Simplified numerical model for clarifying scaling behavior in the intermediate dispersion regime in homogeneous porous media
journal, December 2014

Mesoscale and Hybrid Models of Fluid Flow and Solute Transport
journal, January 2015

Comparison of Network Generation Techniques for Unconsolidated Porous Media
journal, January 2003

Approximate residence time distribution of fully develop laminar flow in a straight rectangular channel
journal, June 2010

Multiblock Pore-Scale Modeling and Upscaling of Reactive Transport: Application to Carbon Sequestration
journal, August 2012

A critical review of dispersion in packed beds
journal, September 2005

A table of integrals of the Error functions
journal, January 1969

Effect of Diffusion on Dispersion
journal, March 2011

The diffusion model of longitudinal mixing in beds of finite length. Numerical values
journal, April 1962

Dispersion in fixed beds
journal, May 1985

Efficient flow and transport simulations in reconstructed 3D pore geometries
journal, December 2010

Predicting Solute Transport in Structured Soil Using Pore Network Models
journal, January 2011

Approaches for modeling longitudinal dispersion in pore-networks
journal, February 2007

Pore-scale modeling of longitudinal dispersion: PORE-SCALE MODELING OF LONGITUDINAL DISPERSION
journal, November 2004

Analytical model for tracer dispersion in porous media
journal, January 2012

Three-dimensional particle tracking velocimetry studies of the transition from pore dispersion to Fickian Dispersion for homogeneous porous media
journal, April 2001

Network modeling of dispersion: Transition from Taylor Dispersion in homogeneous networks to mechanical dispersion in very heterogeneous ones
journal, April 2001

Upscaling geochemical reaction rates using pore-scale network modeling
journal, September 2006

Solute dispersion under electric and pressure driven flows; pore scale processes
journal, September 2014

Continuous flow systems
journal, February 1953

Simulation of Flow and Dispersion on Pore-Space Images
journal, December 2012

Flux-Averaged and Volume-Averaged Concentrations in Continuum Approaches to Solute Transport
journal, July 1984

Generalized semi-analytical solution of advection–diffusion–reaction in finite and semi-infinite cylindrical ducts
journal, November 2014

A Review of Diffusion and Dispersion in Porous Media
journal, March 1963

A streamline splitting pore-network approach for computationally inexpensive and accurate simulation of transport in porous media
journal, March 2014

Residence Time Distribution Models Derived from Non-Ideal Laminar Velocity Profiles in Tubes
journal, June 2012

Numerical derivation of dispersion coefficients for flow through three-dimensional randomly packed beds of monodisperse spheres
journal, November 2013

Quantification of longitudinal dispersion by upscaling Brownian motion of tracer displacement in a 3D pore-scale network model
journal, February 2007

Hydrodynamic dispersion in confined packed beds
journal, December 2003

Upscaling geochemical reaction rates accompanying acidic CO ₂ -saturated brine flow in sandstone aquifers : UPSCALING GEOCHEMICAL REACTION RATES
journal, January 2011

A general unified expression for solute and heat dispersion in homogeneous porous media: A General Unified Expression for Solute and Heat Dispersion
journal, October 2013

Inertial effects in dispersion in porous media: INERTIAL EFFECTS IN DISPERSION IN POROUS
journal, December 2007

A Physically-Based Description of Dispersion in Porous Media
conference, April 2013

Pore network modelling of the behaviour of a solute in chromatography media: transient and steady-state diffusion properties
journal, February 2002

Permeability evolution due to dissolution and precipitation of carbonates using reactive transport modeling in pore networks: Permeability evolution due to reaction of carbonates
journal, September 2013

Dispersion in flow through porous media—I. One-phase flow
journal, January 1986