Viscous Dissipation and Apparent Permeability of Gas Flow in Nanoporous Media

Zhao, Jianlin; Kang, Qinjun; Wang, Youping; Yao, Jun; Zhang, Lei; Yang, Yongfei

doi:10.1029/2019jb018667

Title: Viscous Dissipation and Apparent Permeability of Gas Flow in Nanoporous Media

Abstract

The nanopore confinement effect can increase the mobility for gas flow in shale rocks, and the apparent permeability is usually adopted to account for this effect. However, most of the apparent permeability calculation models are derived based on straight channels (capillaries) and neglect the influence of end effect. The end effect is caused by the bending of streamlines which yields more viscous dissipation and additional flow resistance for gas flow in nanoporous media. Here, for the first time the viscous dissipation for gas flow in nanoporous media is analyzed. In addition, an improved apparent permeability calculation model is proposed based on the Beskok-Karniadakis (B-K) model by introducing the influence of end effect, which is characterized by the ratio of the length to the width of a short channel (L/H). The accuracy of this model is validated by lattice Boltzmann simulations of gas flow in three different geometries: an infinite-length straight channel, a finite-length straight channel, and nanoporous media. For the infinite-length straight channel, there is no end effect therefore both the B-K model and the improved model can well predict the apparent permeability. However, for the finite-length straight channel and nanoporous media, the original B-K model overestimates the gas apparentmore »« less

Authors:

^[1];

^[2]; Wang, Youping ^[3]; Yao, Jun ^[4];

^[4]; Yang, Yongfei ^[4]

State Energy Center for Shale Oil Research and Development, Beijing (China); Eidgenoessische Technische Hochschule, Zurich (Switzerland)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
State Energy Center for Shale Oil Research and Development, Beijing (China)
China Univ. of Petroleum, Qingdao (China)

Publication Date:: Fri Feb 07 00:00:00 EST 2020

Research Org.:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Org.:: USDOE Laboratory Directed Research and Development (LDRD) Program; National Natural Science Foundation of China (NSFC); Key Research and Development Plan of Shandong Province; Key Research and Development

OSTI Identifier:: 1699456

Alternate Identifier(s):: OSTI ID: 1599917

Report Number(s):: LA-UR-19-30105
Journal ID: ISSN 2169-9313

Grant/Contract Number:: 89233218CNA000001; 51490654; 51504276; 51404291; 51711530131; 51674280; 2018GSF116009

Resource Type:: Accepted Manuscript

Journal Name:: Journal of Geophysical Research. Solid Earth

Additional Journal Information:: Journal Volume: 125; Journal Issue: 2; Journal ID: ISSN 2169-9313

Publisher:: American Geophysical Union

Country of Publication:: United States

Language:: English

Subject:: 58 GEOSCIENCES

Citation Formats


                    Zhao, Jianlin, Kang, Qinjun, Wang, Youping, Yao, Jun, Zhang, Lei, and Yang, Yongfei. Viscous Dissipation and Apparent Permeability of Gas Flow in Nanoporous Media.  United States: N. p., 2020. 
Web.  doi:10.1029/2019jb018667.

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                    Zhao, Jianlin, Kang, Qinjun, Wang, Youping, Yao, Jun, Zhang, Lei, & Yang, Yongfei. Viscous Dissipation and Apparent Permeability of Gas Flow in Nanoporous Media.  United States.  https://doi.org/10.1029/2019jb018667

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                    Zhao, Jianlin, Kang, Qinjun, Wang, Youping, Yao, Jun, Zhang, Lei, and Yang, Yongfei. Fri .  
"Viscous Dissipation and Apparent Permeability of Gas Flow in Nanoporous Media".  United States.  https://doi.org/10.1029/2019jb018667.  https://www.osti.gov/servlets/purl/1699456.

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@article{osti_1699456,

  title        = {Viscous Dissipation and Apparent Permeability of Gas Flow in Nanoporous Media},

  author       = {Zhao, Jianlin and Kang, Qinjun and Wang, Youping and Yao, Jun and Zhang, Lei and Yang, Yongfei},

  abstractNote = {The nanopore confinement effect can increase the mobility for gas flow in shale rocks, and the apparent permeability is usually adopted to account for this effect. However, most of the apparent permeability calculation models are derived based on straight channels (capillaries) and neglect the influence of end effect. The end effect is caused by the bending of streamlines which yields more viscous dissipation and additional flow resistance for gas flow in nanoporous media. Here, for the first time the viscous dissipation for gas flow in nanoporous media is analyzed. In addition, an improved apparent permeability calculation model is proposed based on the Beskok-Karniadakis (B-K) model by introducing the influence of end effect, which is characterized by the ratio of the length to the width of a short channel (L/H). The accuracy of this model is validated by lattice Boltzmann simulations of gas flow in three different geometries: an infinite-length straight channel, a finite-length straight channel, and nanoporous media. For the infinite-length straight channel, there is no end effect therefore both the B-K model and the improved model can well predict the apparent permeability. However, for the finite-length straight channel and nanoporous media, the original B-K model overestimates the gas apparent permeability as it neglects the influence of end effect, while the improved model can still well predict the gas apparent permeability. In summary, the improved apparent permeability calculation model is more reasonable in predicting gas mobility in nanoporous media.},

  doi          = {10.1029/2019jb018667},

  journal      = {Journal of Geophysical Research. Solid Earth},

  number       = 2,

  volume       = 125,

  place        = {United States},

  year         = {Fri Feb 07 00:00:00 EST 2020},

  month        = {Fri Feb 07 00:00:00 EST 2020}

}

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Title: Viscous Dissipation and Apparent Permeability of Gas Flow in Nanoporous Media

Abstract

Citation Formats

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Upscaling pore pressure-dependent gas permeability in shales: Upscaling Shale Gas Permeability journal, April 2017

Pore-scale simulation of shale oil flow based on pore network model journal, September 2019

Key mechanical problems in the developmentof shale gas reservoirs journal, November 2013

Factors Affecting Gas Slippage in Tight Sandstones of Cretaceous Age in the Uinta Basin journal, November 1982

Multiphase Lattice Boltzmann Methods: Theory and Application book, January 2015

Numerical simulation of gas transport mechanisms in tight shale gas reservoirs journal, October 2013

A Numerical Study of Microscale Flow Behavior in Tight Gas and Shale Gas Reservoir Systems journal, April 2011

Simulation of microscale gas flow in heterogeneous porous media based on the lattice Boltzmann method journal, August 2016

Klinkenberg Effect and Effective Pressure for Gas Permeability of Tight Sandstones
journal, February 2019

Lattice Boltzmann modeling of microchannel flows in the transition flow regime
journal, October 2010

Direct simulation of supercritical gas flow in complex nanoporous media and prediction of apparent permeability
journal, April 2016

Inertial effects during irreversible meniscus reconfiguration in angular pores
journal, December 2014

The end of nanochannels
journal, July 2011

Pore-scale numerical investigation into the impacts of the spatial and pore-size distributions of organic matter on shale gas flow and their implications on multiscale characterisation
journal, March 2018

Knudsen’s Permeability Correction for Tight Porous Media
journal, September 2011

A permeation model of shale gas in cylindrical-like kerogen pores at geological conditions
journal, November 2019

New pore space characterization method of shale matrix formation by considering organic and inorganic pores
journal, November 2015

Nonlinear pressure diffusion in a porous medium: Approximate solutions with applications to permeability measurements using transient pulse decay method
journal, January 2001

Report: a Model for Flows in Channels, Pipes, and Ducts at Micro and nano Scales
journal, February 1999

Study of non-isothermal liquid evaporation in synthetic micro-pore structures with hybrid lattice Boltzmann model
journal, March 2019

XXXI. The flow of viscous fluids round plane obstacles
journal, March 1949

Tricoupled hybrid lattice Boltzmann model for nonisothermal drying of colloidal suspensions in micropore structures
journal, May 2019

End corrections for rarefied gas flows through circular tubes of finite length
journal, March 2014

Modern system of multiphase flow in porous media and its development trend
journal, August 2017

End Correction for Slow Viscous Flow through Long Tubes
journal, January 1962

Flow behavior of gas confined in nanoporous shale at high pressure: Real gas effect
journal, October 2017

The Effect of Wettability Heterogeneity on Relative Permeability of Two-Phase Flow in Porous Media: A Lattice Boltzmann Study
journal, February 2018

A Generalized Framework Model for the Simulation of Gas Production in Unconventional Gas Reservoirs
journal, October 2014

Rarefaction effects on gas viscosity in the Knudsen transition regime
journal, March 2010

Triple-continuum modeling of shale gas reservoirs considering the effect of kerogen
journal, May 2015

Gas Flow in Porous Media With Klinkenberg Effects
journal, January 1998

Physical symmetry, spatial accuracy, and relaxation time of the lattice Boltzmann equation for microgas flows
journal, April 2006

An analytical model for gas transport through elliptical nanopores
journal, May 2019

Hydraulic tortuosity in arbitrary porous media flow
journal, September 2011

Nanopores and Apparent Permeability of Gas Flow in Mudrocks (Shales and Siltstone)
journal, August 2009

Efficient energy-stable schemes for the hydrodynamics coupled phase-field model
journal, June 2019

A Laboratory Study of Low-Permeability Gas Sands
journal, September 1980

A Lattice Boltzmann Model for Simulating Gas Flow in Kerogen Pores
journal, October 2014

The lattice Boltzmann method for isothermal micro-gaseous flow and its application in shale gas flow: A review
journal, April 2016

Percolation connectivity, pore size, and gas apparent permeability: Network simulations and comparison to experimental data: Connectivity, Pore Size, and Gas Permeability
journal, July 2017

Permeability prediction of shale matrix reconstructed using the elementary building block model
journal, November 2015

Lattice Boltzmann Method for Simulation of Shale Gas Transport in Kerogen
journal, November 2012

Large permeabilities of hourglass nanopores: From hydrodynamics to single file transport
journal, November 2014

Gas transport mode criteria in ultra-tight porous media
journal, April 2015

Entropic multiple-relaxation-time multirange pseudopotential lattice Boltzmann model for two-phase flow
journal, March 2018

A new seepage model for shale gas reservoir and productivity analysis of fractured well
journal, May 2014

Efficient kinetic method for fluid simulation beyond the Navier-Stokes equation
journal, October 2006

Nanoscale simulation of shale transport properties using the lattice Boltzmann method: permeability and diffusivity
journal, January 2015

Study of hydraulic fracturing in an anisotropic poroelastic medium via a hybrid EDFM-XFEM approach
journal, January 2019

Evaluation of a lattice Boltzmann method in a complex nanoflow
journal, July 2010

Lattice Boltzmann simulation of chemical dissolution in porous media
journal, March 2002

LBM Simulation of Self-Assembly of Clogging Structures by Evaporation of Colloidal Suspension in 2D Porous Media
journal, October 2018

Apparent gas permeability in an organic-rich shale reservoir
journal, October 2016

Effective Correlation of Apparent Gas Permeability in Tight Porous Media
journal, July 2009

A critical review of the pseudopotential multiphase lattice Boltzmann model: Methods and applications
journal, September 2014

Improved Permeability Prediction Relations for Low Permeability Sands
conference, April 2013

A model for multiple transport mechanisms through nanopores of shale gas reservoirs with real gas effect–adsorption-mechanic coupling
journal, February 2016

Upscaling pore pressure-dependent gas permeability in shales: Upscaling Shale Gas Permeability
journal, April 2017

Pore-scale simulation of shale oil flow based on pore network model
journal, September 2019

Key mechanical problems in the developmentof shale gas reservoirs
journal, November 2013

Factors Affecting Gas Slippage in Tight Sandstones of Cretaceous Age in the Uinta Basin
journal, November 1982

Multiphase Lattice Boltzmann Methods: Theory and Application
book, January 2015

Numerical simulation of gas transport mechanisms in tight shale gas reservoirs
journal, October 2013

A Numerical Study of Microscale Flow Behavior in Tight Gas and Shale Gas Reservoir Systems
journal, April 2011

Simulation of microscale gas flow in heterogeneous porous media based on the lattice Boltzmann method
journal, August 2016