Pore-scale characteristics of multiphase flow in heterogeneous porous media using the lattice Boltzmann method

Bakhshian, Sahar; Hosseini, Seyyed A.; Shokri, Nima

doi:10.1038/s41598-019-39741-x

Title: Pore-scale characteristics of multiphase flow in heterogeneous porous media using the lattice Boltzmann method

Abstract

This study provides a pore-scale investigation of two-phase flow dynamics during primary drainage in a realistic heterogeneous rock sample. Using the lattice Boltzmann (LB) method, a series of three-dimensional (3D) immiscible displacement simulations are conducted and three typical flow patterns are identified and mapped on the capillary number (Ca)-viscosity ratio(M) phase diagram. We then investigate the effect of the viscosity ratio and capillary number on fluid saturation patterns and displacement stability in Tuscaloosa sandstone, which is taken from the Cranfield site. The dependence of the evolution of saturation, location of the displacement front, 3D displacement patterns and length of the center of mass of the invading fluid on the viscosity ratio and capillary number have been delineated. To gain a quantitative insight into the characteristics of the invasion morphology in 3D porous media, the fractal dimension D_f of the non-wetting phase displacement patterns during drainage has been computed for various viscosity ratios and capillary numbers. The logarithmic dependence of D_f on invading phase saturation appears to be the same for various capillary numbers and viscosity ratios and follows a universal relation.

Authors:

Bakhshian, Sahar; Hosseini, Seyyed A.;

Publication Date:: Mon Mar 04 00:00:00 EST 2019

Research Org.:: Southern States Energy Board, Peachtree Corners, GA (United States)

Sponsoring Org.:: USDOE Office of Fossil Energy (FE)

OSTI Identifier:: 1619540

Alternate Identifier(s):: OSTI ID: 1614113

Grant/Contract Number:: FC26-05NT42590

Resource Type:: Published Article

Journal Name:: Scientific Reports

Additional Journal Information:: Journal Name: Scientific Reports Journal Volume: 9 Journal Issue: 1; Journal ID: ISSN 2045-2322

Publisher:: Nature Publishing Group

Country of Publication:: United Kingdom

Language:: English

Subject:: 58 GEOSCIENCES; hydrology; solid earth sciences

Citation Formats


                    Bakhshian, Sahar, Hosseini, Seyyed A., and Shokri, Nima. Pore-scale characteristics of multiphase flow in heterogeneous porous media using the lattice Boltzmann method.  United Kingdom: N. p., 2019. 
Web.  doi:10.1038/s41598-019-39741-x.

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                    Bakhshian, Sahar, Hosseini, Seyyed A., & Shokri, Nima. Pore-scale characteristics of multiphase flow in heterogeneous porous media using the lattice Boltzmann method.  United Kingdom.  https://doi.org/10.1038/s41598-019-39741-x

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                    Bakhshian, Sahar, Hosseini, Seyyed A., and Shokri, Nima. Mon .  
"Pore-scale characteristics of multiphase flow in heterogeneous porous media using the lattice Boltzmann method".  United Kingdom.  https://doi.org/10.1038/s41598-019-39741-x.

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@article{osti_1619540,

  title        = {Pore-scale characteristics of multiphase flow in heterogeneous porous media using the lattice Boltzmann method},

  author       = {Bakhshian, Sahar and Hosseini, Seyyed A. and Shokri, Nima},

  abstractNote = {This study provides a pore-scale investigation of two-phase flow dynamics during primary drainage in a realistic heterogeneous rock sample. Using the lattice Boltzmann (LB) method, a series of three-dimensional (3D) immiscible displacement simulations are conducted and three typical flow patterns are identified and mapped on the capillary number (Ca)-viscosity ratio(M) phase diagram. We then investigate the effect of the viscosity ratio and capillary number on fluid saturation patterns and displacement stability in Tuscaloosa sandstone, which is taken from the Cranfield site. The dependence of the evolution of saturation, location of the displacement front, 3D displacement patterns and length of the center of mass of the invading fluid on the viscosity ratio and capillary number have been delineated. To gain a quantitative insight into the characteristics of the invasion morphology in 3D porous media, the fractal dimension Df of the non-wetting phase displacement patterns during drainage has been computed for various viscosity ratios and capillary numbers. The logarithmic dependence of Df on invading phase saturation appears to be the same for various capillary numbers and viscosity ratios and follows a universal relation.},

  doi          = {10.1038/s41598-019-39741-x},

  journal      = {Scientific Reports},

  number       = 1,

  volume       = 9,

  place        = {United Kingdom},

  year         = {Mon Mar 04 00:00:00 EST 2019},

  month        = {Mon Mar 04 00:00:00 EST 2019}

}

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Title: Pore-scale characteristics of multiphase flow in heterogeneous porous media using the lattice Boltzmann method

Abstract

Citation Formats

Characterizing flow behavior for gas injection: Relative permeability of CO 2 -brine and N 2 -water in heterogeneous rocks : CHARACTERIZING FLOW BEHAVIOR FOR GAS INJECTION journal, December 2015

Simulation of nonideal gases and liquid-gas phase transitions by the lattice Boltzmann equation journal, April 1994

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Multiple–relaxation–time lattice Boltzmann models in three dimensions journal, March 2002

The effect of displacement rate on imbibition relative permeability and residual saturation journal, June 2006

Influence of Viscous and Capillary Forces on Immiscible Fluid Displacement: Pore-Scale Experimental Study in a Water-Wet Micromodel Demonstrating Viscous and Capillary Fingering journal, August 2011

Effects of Pore Geometry on Flowing Foam Dynamics in 3D-Printed Porous Media journal, June 2018

Direct numerical simulations of interface dynamics to link capillary pressure and total surface energy journal, July 2013

An adaptive scheme using hierarchical grids for lattice Boltzmann multi-phase flow simulations journal, September 2006

Pore-scale imaging and modelling journal, January 2013

Characterization of immiscible fluid displacement processes with various capillary numbers and viscosity ratios in 3D natural sandstone journal, September 2016

Lattice Boltzmann model for simulating flows with multiple phases and components journal, March 1993

Modeling of coal bed methane (CBM) production and CO2 sequestration in coal seams journal, January 2009

Dissolution Trapping of Carbon Dioxide in Heterogeneous Aquifers journal, June 2017

Pore geometry control of apparent wetting in porous media journal, October 2018

Lattice Boltzmann simulations of binary fluid flow through porous media journal, March 2002

Effects of Pore-Scale Disorder on Fluid Displacement in Partially-Wettable Porous Media journal, October 2016

Blob population dynamics during immiscible two-phase flows in reconstructed porous media journal, March 2013

Lattice Boltzmann equation model for multi-component multi-phase flow with high density ratios journal, February 2013

Fluid breakup during simultaneous two-phase flow through a three-dimensional porous medium journal, June 2014

A lattice Boltzmann method for immiscible two-phase Stokes flow with a local collision operator journal, March 2013

Suppressing viscous fingering in structured porous media journal, April 2018

Detailed physics, predictive capabilities and macroscopic consequences for pore-network models of multiphase flow journal, August 2002

Numerical models and experiments on immiscible displacements in porous media journal, April 1988

Relative Permeability Calculations from Two-Phase Flow Simulations Directly on Digital Images of Porous Rocks journal, September 2011

Direct simulations of two-phase flow on micro-CT images of porous media and upscaling of pore-scale forces journal, December 2014

Numerical modeling of a multiphase water–oil–CO2 system using a water–CO2 system: Application to the far field of a U.S. Gulf Coast reservoir journal, September 2012

Evaluation of level set and phase field methods in modeling two phase flow with viscosity contrast through dual-permeability porous medium journal, June 2013

Characterizing flow behavior for gas injection: Relative permeability of CO ₂ -brine and N ₂ -water in heterogeneous rocks : CHARACTERIZING FLOW BEHAVIOR FOR GAS INJECTION
journal, December 2015

Simulation of nonideal gases and liquid-gas phase transitions by the lattice Boltzmann equation
journal, April 1994

Lattice Boltzmann model of immiscible fluids
journal, April 1991

Capillary fingering: Percolation and fractal dimension
journal, December 1989

Long-term effectiveness and consequences of carbon dioxide sequestration
journal, June 2010

A pore-scale investigation of a multiphase porous media system
journal, March 2005

A D3Q27 multiple-relaxation-time lattice Boltzmann method for turbulent flows
journal, March 2015

Computation of multiphase systems with phase field models
journal, September 2003

Prediction of capillary hysteresis in a porous material using lattice-Boltzmann methods and comparison to experimental data and a morphological pore network model
journal, September 2008

Lattice Boltzmann Simulations of Supercritical CO ₂ –Water Drainage Displacement in Porous Media: CO ₂ Saturation and Displacement Mechanism
journal, December 2014

Image-based modeling of gas adsorption and deformation in porous media
journal, May 2018

Elucidating the Role of Interfacial Tension for Hydrological Properties of Two-Phase Flow in Natural Sandstone by an Improved Lattice Boltzmann Method
journal, May 2014

Relationship between bulk foam stability, surfactant formulation and oil displacement efficiency in porous media
journal, September 2017

Sequestration of Dissolved CO ₂ in the Oriskany Formation
journal, April 2008

Lattice Boltzmann simulations of liquid-gas and binary fluid systems
journal, November 1996

The investigation of suitability of different capillary number definitions for flow behavior characterization of surfactant-based chemical flooding in heavy oil reservoirs
journal, July 2012

Visualisation of mechanisms involved in Co2 injection and storage in hydrocarbon reservoirsand water-bearing aquifers
journal, September 2011

Impact of Wettability on Pore-Scale Characteristics of Residual Nonaqueous Phase Liquids
journal, July 2009

Nucleation of Salt Crystals in Clay Minerals: Molecular Dynamics Simulation
journal, June 2017

Lattice-Boltzmann model based on field mediators for immiscible fluids
journal, November 2003

A Lattice Boltzmann Scheme for Incompressible Multiphase Flow and Its Application in Simulation of Rayleigh–Taylor Instability
journal, July 1999

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

Visualizing multiphase flow and trapped fluid configurations in a model three-dimensional porous medium
journal, January 2013

A lattice Boltzmann study on the impact of the geometrical properties of porous media on the steady state relative permeabilities on two-phase immiscible flows
journal, September 2016

Lattice Boltzmann Model for the Incompressible Navier–Stokes Equation
journal, August 1997

Adsorption-induced swelling of porous media
journal, February 2017

Geological storage of CO2 in saline aquifers—A review of the experience from existing storage operations
journal, July 2010

Wettability effects on supercritical CO2–brine immiscible displacement during drainage: Pore-scale observation and 3D simulation
journal, May 2017

Observational evidence confirms modelling of the long-term integrity of CO2-reservoir caprocks
journal, July 2016

Drainage in two-dimensional porous media: From capillary fingering to viscous flow
journal, October 2010

New insights on the complex dynamics of two-phase flow in porous media under intermediate-wet conditions
journal, July 2017

Lattice Boltzmann modeling and simulation of liquid jet breakup
journal, July 2017

Immiscible cellular-automaton fluids
journal, August 1988

Growth activity during fingering in a porous Hele-Shaw cell
journal, August 2004

Smoothed Particle Hydrodynamics: A consistent model for interfacial multiphase fluid flow simulations
journal, April 2018

Lattice Boltzmann simulation of immiscible fluid displacement in porous media: Homogeneous versus heterogeneous pore network
journal, May 2015

Fractal nature of viscous fingering in two-dimensional pore level models
journal, April 1995

Multiple–relaxation–time lattice Boltzmann models in three dimensions
journal, March 2002

The effect of displacement rate on imbibition relative permeability and residual saturation
journal, June 2006

Influence of Viscous and Capillary Forces on Immiscible Fluid Displacement: Pore-Scale Experimental Study in a Water-Wet Micromodel Demonstrating Viscous and Capillary Fingering
journal, August 2011

Effects of Pore Geometry on Flowing Foam Dynamics in 3D-Printed Porous Media
journal, June 2018

Direct numerical simulations of interface dynamics to link capillary pressure and total surface energy
journal, July 2013

An adaptive scheme using hierarchical grids for lattice Boltzmann multi-phase flow simulations
journal, September 2006

Pore-scale imaging and modelling
journal, January 2013

Characterization of immiscible fluid displacement processes with various capillary numbers and viscosity ratios in 3D natural sandstone
journal, September 2016

Lattice Boltzmann model for simulating flows with multiple phases and components
journal, March 1993

Modeling of coal bed methane (CBM) production and CO2 sequestration in coal seams
journal, January 2009

Dissolution Trapping of Carbon Dioxide in Heterogeneous Aquifers
journal, June 2017

Pore geometry control of apparent wetting in porous media
journal, October 2018

Lattice Boltzmann simulations of binary fluid flow through porous media
journal, March 2002

Effects of Pore-Scale Disorder on Fluid Displacement in Partially-Wettable Porous Media
journal, October 2016

Blob population dynamics during immiscible two-phase flows in reconstructed porous media
journal, March 2013

Lattice Boltzmann equation model for multi-component multi-phase flow with high density ratios
journal, February 2013

Fluid breakup during simultaneous two-phase flow through a three-dimensional porous medium
journal, June 2014

A lattice Boltzmann method for immiscible two-phase Stokes flow with a local collision operator
journal, March 2013

Suppressing viscous fingering in structured porous media
journal, April 2018

Detailed physics, predictive capabilities and macroscopic consequences for pore-network models of multiphase flow
journal, August 2002

Numerical models and experiments on immiscible displacements in porous media
journal, April 1988

Relative Permeability Calculations from Two-Phase Flow Simulations Directly on Digital Images of Porous Rocks
journal, September 2011

Direct simulations of two-phase flow on micro-CT images of porous media and upscaling of pore-scale forces
journal, December 2014

Numerical modeling of a multiphase water–oil–CO2 system using a water–CO2 system: Application to the far field of a U.S. Gulf Coast reservoir
journal, September 2012

Evaluation of level set and phase field methods in modeling two phase flow with viscosity contrast through dual-permeability porous medium
journal, June 2013