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:: Thu Oct 01 00:00:00 EDT 2015

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.

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

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                    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.

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@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         = {Thu Oct 01 00:00:00 EDT 2015},

  month        = {Thu Oct 01 00:00:00 EDT 2015}

}

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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

Conditions under which dispersion of a solute in a stream of solvent can be used to measure molecular diffusion journal, September 1954

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

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

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

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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

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

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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

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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

Dispersion in Porous Media book, January 1971

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

Conditions under which dispersion of a solute in a stream of solvent can be used to measure molecular diffusion
journal, September 1954

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

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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
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journal, September 2006

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journal, December 2012

Flux-Averaged and Volume-Averaged Concentrations in Continuum Approaches to Solute Transport
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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

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journal, February 2007

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book, January 1971

Hydrodynamic dispersion in confined packed beds
journal, December 2003

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journal, January 2011

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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