A Dynamic Pore Network Model for Imbibition Simulation Considering Corner Film Flow

Zhao, Jianlin; Qin, Feifei; Kang, Qinjun; Qin, Chaozhong; Derome, Dominique; Carmeliet, Jan

doi:10.1029/2022wr032332

A Dynamic Pore Network Model for Imbibition Simulation Considering Corner Film Flow

Journal Article · Tue Jul 05 00:00:00 EDT 2022 · Water Resources Research

DOI:https://doi.org/10.1029/2022wr032332· OSTI ID:1893675

^[1]; ^[1]; ^[2]; Qin, Chaozhong ^[3]; Derome, Dominique ^[4]; Carmeliet, Jan ^[1]

Eidgenoessische Technische Hochschule (ETH), Zurich (Switzerland)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Chongqing Univ. (China)
Univ. of Sherbrooke, QC (Canada)

Wetting films can develop in the corners of angular pores under strong wetting conditions. Modeling the dynamics of corner film remains elusive using direct numerical simulations because of the significant scale difference between main meniscus and corner film flow. In this paper, the modified interacting capillary bundle model (ICB), developed in our previous work to describe accurately corner film dynamics in a single square tube, is incorporated into a single-pressure dynamic pore network model (DPNM) to simulate imbibition in strongly wetting porous media with corner film flow. The traditional pore network is decomposed into several layers of interacting subpore networks where the 0th layer of subpore network simulates the main meniscus flow and higher layers the corner film flow. The fluid flow between different layers is captured by interlayer throats. In addition, the snap-off mechanism caused by the thickening of wetting corner film is considered. The accuracy of the developed model is validated for four cases: spontaneous imbibition in a single square tube, wetting fluid redistribution through corner films under a capillary pressure difference, snap off in a narrow throat connecting two large pores, and imbibition dynamics in a real microfluidic porous geometry. The validated model is then used to simulate both spontaneous and controlled imbibition in a pore network with random pore size distribution. Finally, the interaction between corner film and main meniscus flow in porous media is analyzed from a pore-scale perspective.

View Accepted Manuscript (DOE)

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

Sponsoring Organization:: National Natural Science Foundation of China (NSFC); USDOE; USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 1893675

Alternate ID(s):: OSTI ID: 1878254

Report Number(s):: LA-UR-21-32185

Journal Information:: Water Resources Research, Journal Name: Water Resources Research Journal Issue: 7 Vol. 58; ISSN 0043-1397

Publisher:: American Geophysical Union (AGU)Copyright Statement

Country of Publication:: United States

Language:: English

References (74)

Wettability and Flow Rate Impacts on Immiscible Displacement: A Theoretical Model Hu, Ran; Wan, Jiamin; Yang, Zhibing Geophysical Research Letters, Vol. 45, Issue 7 https://doi.org/10.1002/2017GL076600	journal	April 2018
The Effect of Wettability Heterogeneity on Relative Permeability of Two-Phase Flow in Porous Media: A Lattice Boltzmann Study Zhao, Jianlin; Kang, Qinjun; Yao, Jun Water Resources Research, Vol. 54, Issue 2 https://doi.org/10.1002/2017WR021443	journal	February 2018
Numerical Simulation of Multiphase Flow in Nanoporous Organic Matter With Application to Coal and Gas Shale Systems: MULTIPHASE FLOW IN NANOORGANIC MATTER Song, Wenhui; Yao, Jun; Ma, Jingsheng Water Resources Research, Vol. 54, Issue 2 https://doi.org/10.1002/2017WR021500	journal	February 2018
Multiphase Lattice Boltzmann Methods: Theory and Application Huang, Haibo; Sukop, Michael C.; Lu, Xi-Yun John Wiley & Sons, Ltd https://doi.org/10.1002/9781118971451	book	January 2015
The Imbibition and Flow of a Wetting Liquid along the Corners of a Square Capillary Tube Dong, M.; Chatzis, I. Journal of Colloid and Interface Science, Vol. 172, Issue 2 https://doi.org/10.1006/JCIS.1995.1253	journal	June 1995
Multiphase lattice Boltzmann simulations for porous media applications: A review Liu, Haihu; Kang, Qinjun; Leonardi, Christopher R. Computational Geosciences, Vol. 20, Issue 4 https://doi.org/10.1007/S10596-015-9542-3	journal	December 2015
A Dynamic Network Model for Two-Phase Flow in Porous Media Tørå, Glenn; Øren, Pål-Eric; Hansen, Alex Transport in Porous Media, Vol. 92, Issue 1 https://doi.org/10.1007/S11242-011-9895-6	journal	November 2011
Dynamic Wicking Process in Textiles Parada, Marcelo; Vontobel, Peter; Rossi, René M. Transport in Porous Media, Vol. 119, Issue 3 https://doi.org/10.1007/S11242-017-0901-5	journal	August 2017
Pore-Network Modeling of Solute Transport and Biofilm Growth in Porous Media Qin, Chao-Zhong; Hassanizadeh, S. Majid Transport in Porous Media, Vol. 110, Issue 3 https://doi.org/10.1007/s11242-015-0546-1	journal	September 2015
Pattern growth and fluid displacements through porous media Lenormand, Roland Physica A: Statistical Mechanics and its Applications, Vol. 140, Issue 1-2 https://doi.org/10.1016/0378-4371(86)90211-6	journal	December 1986
Pore-scale imaging and modelling Blunt, Martin J.; Bijeljic, Branko; Dong, Hu Advances in Water Resources, Vol. 51 https://doi.org/10.1016/J.ADVWATRES.2012.03.003	journal	January 2013
Dynamic pore-scale network model (PNM) of water imbibition in porous media Li, J.; McDougall, S. R.; Sorbie, K. S. Advances in Water Resources, Vol. 107 https://doi.org/10.1016/J.ADVWATRES.2017.06.017	journal	September 2017
A dynamic pore-network model for spontaneous imbibition in porous media Qin, Chao-Zhong; van Brummelen, Harald Advances in Water Resources, Vol. 133 https://doi.org/10.1016/J.ADVWATRES.2019.103420	journal	November 2019
Improved pore network models to simulate single-phase flow in porous media by coupling with lattice Boltzmann method Zhao, Jianlin; Qin, Feifei; Derome, Dominique Advances in Water Resources, Vol. 145 https://doi.org/10.1016/J.ADVWATRES.2020.103738	journal	November 2020
Image-based modeling of spontaneous imbibition in porous media by a dynamic pore network model Qin, Chao-Zhong; van Brummelen, Harald; Hefny, Mahmoud Advances in Water Resources, Vol. 152 https://doi.org/10.1016/J.ADVWATRES.2021.103932	journal	June 2021
Study of immiscible displacements in porous media using a color-gradient-based multiphase lattice Boltzmann method Huang, Haibo; Huang, Jun-Jie; Lu, Xi-Yun Computers & Fluids, Vol. 93 https://doi.org/10.1016/J.COMPFLUID.2014.01.025	journal	April 2014
Pore-scale simulation of shale oil flow based on pore network model Yang, Yongfei; Wang, Ke; Zhang, Lei Fuel, Vol. 251 https://doi.org/10.1016/J.FUEL.2019.03.083	journal	September 2019
A critical review of the pseudopotential multiphase lattice Boltzmann model: Methods and applications Chen, Li; Kang, Qinjun; Mu, Yutong International Journal of Heat and Mass Transfer, Vol. 76 https://doi.org/10.1016/J.IJHEATMASSTRANSFER.2014.04.032	journal	September 2014
Pore-scale simulation of shale gas production considering the adsorption effect Zhao, Jianlin; Yao, Jun; Zhang, Lei International Journal of Heat and Mass Transfer, Vol. 103 https://doi.org/10.1016/J.IJHEATMASSTRANSFER.2016.08.026	journal	December 2016
Recent progress of gas diffusion layer in proton exchange membrane fuel cell: Two-phase flow and material properties Chen, Qin; Niu, Zhiqiang; Li, Hongkun International Journal of Hydrogen Energy, Vol. 46, Issue 12 https://doi.org/10.1016/J.IJHYDENE.2020.12.076	journal	February 2021
Simulation of quasi-static drainage displacement in porous media on pore-scale: Coupling lattice Boltzmann method and pore network model Zhao, Jianlin; Qin, Feifei; Derome, Dominique Journal of Hydrology, Vol. 588 https://doi.org/10.1016/J.JHYDROL.2020.125080	journal	September 2020
New pore space characterization method of shale matrix formation by considering organic and inorganic pores Yang, Yongfei; Yao, Jun; Wang, Chenchen Journal of Natural Gas Science and Engineering, Vol. 27 https://doi.org/10.1016/J.JNGSE.2015.08.017	journal	November 2015
Lattice Boltzmann simulations of water transport in gas diffusion layer of a polymer electrolyte membrane fuel cell Hao, Liang; Cheng, Ping Journal of Power Sources, Vol. 195, Issue 12 https://doi.org/10.1016/J.JPOWSOUR.2009.11.125	journal	June 2010
A review on pore-scale modeling and CT scan technique to characterize the trapped carbon dioxide in impermeable reservoir rocks during sequestration Saraf, Shubham; Bera, Achinta Renewable and Sustainable Energy Reviews, Vol. 144 https://doi.org/10.1016/J.RSER.2021.110986	journal	July 2021
Computations of spontaneous rise of a rivulet in a corner of a vertical square capillary Thammanna Gurumurthy, Vignesh; Rettenmaier, Daniel; Roisman, Ilia V. Colloids and Surfaces A: Physicochemical and Engineering Aspects, Vol. 544 https://doi.org/10.1016/j.colsurfa.2018.02.003	journal	May 2018
Capillary trapping for geologic carbon dioxide storage – From pore scale physics to field scale implications Krevor, Samuel; Blunt, Martin J.; Benson, Sally M. International Journal of Greenhouse Gas Control, Vol. 40 https://doi.org/10.1016/j.ijggc.2015.04.006	journal	September 2015
On the influence of pore shape, contact angle and film flows on drying of capillary porous media Prat, M. International Journal of Heat and Mass Transfer, Vol. 50, Issue 7-8 https://doi.org/10.1016/j.ijheatmasstransfer.2006.09.001	journal	April 2007
A cluster-based pore network model of drying with corner liquid films, with application to a macroporous material Lal, Sreeyuth; Prat, Marc; Plamondon, Mathieu International Journal of Heat and Mass Transfer, Vol. 140 https://doi.org/10.1016/j.ijheatmasstransfer.2019.06.016	journal	September 2019
Review of pore network modelling of porous media: Experimental characterisations, network constructions and applications to reactive transport Xiong, Qingrong; Baychev, Todor G.; Jivkov, Andrey P. Journal of Contaminant Hydrology, Vol. 192 https://doi.org/10.1016/j.jconhyd.2016.07.002	journal	September 2016
Pore-scale modeling of complex transport phenomena in porous media Chen, Li; He, An; Zhao, Jianlin Progress in Energy and Combustion Science, Vol. 88 https://doi.org/10.1016/j.pecs.2021.100968	journal	January 2022
Capillary flow-driven efficient nanomaterials for seawater desalination: Review of classifications, challenges, and future perspectives Arunkumar, T.; Wang, Jiaqiang; Denkenberger, D. Renewable and Sustainable Energy Reviews, Vol. 138 https://doi.org/10.1016/j.rser.2020.110547	journal	March 2021
Multiphase Flow in Permeable Media Blunt, Martin J. Cambridge University Press https://doi.org/10.1017/9781316145098	book	January 2017
Compound capillary rise Weislogel, Mark M. Journal of Fluid Mechanics, Vol. 709 https://doi.org/10.1017/JFM.2012.357	journal	August 2012
Signatures of fluid–fluid displacement in porous media: wettability, patterns and pressures Primkulov, Bauyrzhan K.; Pahlavan, Amir A.; Fu, Xiaojing Journal of Fluid Mechanics, Vol. 875 https://doi.org/10.1017/JFM.2019.554	journal	July 2019
Thermodynamically consistent modelling of two-phase flows with moving contact line and soluble surfactants Zhu, Guangpu; Kou, Jisheng; Yao, Bowen Journal of Fluid Mechanics, Vol. 879 https://doi.org/10.1017/JFM.2019.664	journal	September 2019
Study of non-isothermal liquid evaporation in synthetic micro-pore structures with hybrid lattice Boltzmann model Qin, Feifei; Del Carro, Luca; Mazloomi Moqaddam, Ali Journal of Fluid Mechanics, Vol. 866 https://doi.org/10.1017/JFM.2019.69	journal	March 2019
Non-equilibrium effects in capillarity and interfacial area in two-phase flow: dynamic pore-network modelling Joekar-Niasar, V.; Hassanizadeh, S. M.; Dahle, H. K. Journal of Fluid Mechanics, Vol. 655 https://doi.org/10.1017/S0022112010000704	journal	July 2010
Numerical models and experiments on immiscible displacements in porous media Lenormand, Roland; Touboul, Eric; Zarcone, Cesar Journal of Fluid Mechanics, Vol. 189 https://doi.org/10.1017/S0022112088000953	journal	April 1988
A universal law for capillary rise in corners Ponomarenko, Alexandre; QuÉRÉ, David; Clanet, Christophe Journal of Fluid Mechanics, Vol. 666 https://doi.org/10.1017/s0022112010005276	journal	January 2011
Lucas–Washburn Equation-Based Modeling of Capillary-Driven Flow in Porous Systems Cai, Jianchao; Jin, Tingxu; Kou, Jisheng Langmuir, Vol. 37, Issue 5 https://doi.org/10.1021/ACS.LANGMUIR.0C03134	journal	January 2021
Generalized Modeling of Spontaneous Imbibition Based on Hagen–Poiseuille Flow in Tortuous Capillaries with Variably Shaped Apertures Cai, Jianchao; Perfect, Edmund; Cheng, Chu-Lin Langmuir, Vol. 30, Issue 18 https://doi.org/10.1021/LA5007204	journal	April 2014
Pore-Scale Modeling of Spontaneous Imbibition Behavior in a Complex Shale Porous Structure by Pseudopotential Lattice Boltzmann Method Zheng, Jiangtao; Ju, Yang; Wang, Moran Journal of Geophysical Research: Solid Earth, Vol. 123, Issue 11 https://doi.org/10.1029/2018JB016430	journal	November 2018
Stress Sensitivity of Fractured and Vuggy Carbonate: An X‐Ray Computed Tomography Analysis Yang, Yongfei; Tao, Liu; Yang, Haiyuan Journal of Geophysical Research: Solid Earth, Vol. 125, Issue 3 https://doi.org/10.1029/2019JB018759	journal	March 2020
Scaling of Imbibition Front Dynamics in Heterogeneous Porous Media Bakhshian, Sahar; Murakami, Margaret; Hosseini, Seyyed Abolfazl Geophysical Research Letters, Vol. 47, Issue 14 https://doi.org/10.1029/2020GL087914	journal	July 2020
Transitions of Fluid Invasion Patterns in Porous Media Lan, Tian; Hu, Ran; Yang, Zhibing Geophysical Research Letters, Vol. 47, Issue 20 https://doi.org/10.1029/2020GL089682	journal	October 2020
Transition From Viscous Fingering to Capillary Fingering: Application of GPU‐Based Fully Implicit Dynamic Pore Network Modeling An, Senyou; Erfani, Hamidreza; Godinez‐Brizuela, Omar E. Water Resources Research, Vol. 56, Issue 12 https://doi.org/10.1029/2020WR028149	journal	December 2020
Spontaneous Imbibition in a Square Tube With Corner Films: Theoretical Model and Numerical Simulation Zhao, Jianlin; Qin, Feifei; Fischer, Robert Water Resources Research, Vol. 57, Issue 2 https://doi.org/10.1029/2020WR029190	journal	February 2021
Pore‐Scale Modeling of Spontaneous Imbibition in Porous Media Using the Lattice Boltzmann Method Liu, Haihu; Sun, Shilin; Wu, Rui Water Resources Research, Vol. 57, Issue 6 https://doi.org/10.1029/2020WR029219	journal	June 2021
Study of Gas Flow Characteristics in Tight Porous Media with a Microscale Lattice Boltzmann Model Zhao, Jianlin; Yao, Jun; Zhang, Min Scientific Reports, Vol. 6, Issue 1 https://doi.org/10.1038/srep32393	journal	September 2016
The cross-scale science of CO2 capture and storage: from pore scale to regional scale Middleton, Richard S.; Keating, Gordon N.; Stauffer, Philip H. Energy & Environmental Science, Vol. 5, Issue 6 https://doi.org/10.1039/C2EE03227A	journal	January 2012
Capillary imbibition in a square tube Yu, Tian; Zhou, Jiajia; Doi, Masao Soft Matter, Vol. 14, Issue 45 https://doi.org/10.1039/C8SM01494A	journal	January 2018
The effect of channel aspect ratio on air entrapment during imbibition in soil-on-a-chip micromodels with 2D and 2.5D pore structures Tsao, Chia-Wen; Huang, Qun-Zhan; You, Chang-Ye Lab on a Chip, Vol. 21, Issue 2 https://doi.org/10.1039/d0lc01029d	journal	January 2021
Capillary rise in tubes with sharp grooves Tang, Lei-Han; Tang, Yu Journal de Physique II, Vol. 4, Issue 5 https://doi.org/10.1051/JP2:1994172	journal	May 1994
Lattice Boltzmann simulation of immiscible fluid displacement in porous media: Homogeneous versus heterogeneous pore network Liu, Haihu; Zhang, Yonghao; Valocchi, Albert J. Physics of Fluids, Vol. 27, Issue 5 https://doi.org/10.1063/1.4921611	journal	May 2015
Entropic multiple-relaxation-time multirange pseudopotential lattice Boltzmann model for two-phase flow Qin, Feifei; Mazloomi Moqaddam, Ali; Kang, Qinjun Physics of Fluids, Vol. 30, Issue 3 https://doi.org/10.1063/1.5016965	journal	March 2018
Wettability control on multiphase flow in patterned microfluidics Zhao, Benzhong; MacMinn, Christopher W.; Juanes, Ruben Proceedings of the National Academy of Sciences, Vol. 113, Issue 37 https://doi.org/10.1073/PNAS.1603387113	journal	August 2016
Comprehensive comparison of pore-scale models for multiphase flow in porous media Zhao, Benzhong; MacMinn, Christopher W.; Primkulov, Bauyrzhan K. Proceedings of the National Academy of Sciences, Vol. 116, Issue 28 https://doi.org/10.1073/PNAS.1901619116	journal	June 2019
Analysis of Fundamentals of Two-Phase Flow in Porous Media Using Dynamic Pore-Network Models: A Review Joekar-Niasar, V.; Hassanizadeh, S. M. Critical Reviews in Environmental Science and Technology, Vol. 42, Issue 18 https://doi.org/10.1080/10643389.2011.574101	journal	September 2012
The Dynamics of Capillary Flow Washburn, Edward W. Physical Review, Vol. 17, Issue 3 https://doi.org/10.1103/PhysRev.17.273	journal	March 1921
Influence of contact angle on quasistatic fluid invasion of porous media Cieplak, Marek; Robbins, Mark O. Physical Review B, Vol. 41, Issue 16 https://doi.org/10.1103/PhysRevB.41.11508	journal	June 1990
Four-dimensional imaging and free-energy analysis of sudden pore-filling events in wicking of yarns Fischer, Robert; Schlepütz, Christian M.; Hegemann, Dirk Physical Review E, Vol. 103, Issue 5 https://doi.org/10.1103/PhysRevE.103.053101	journal	May 2021
Quasistatic fluid-fluid displacement in porous media: Invasion-percolation through a wetting transition Primkulov, Bauyrzhan K.; Talman, Stephen; Khaleghi, Keivan Physical Review Fluids, Vol. 3, Issue 10 https://doi.org/10.1103/PhysRevFluids.3.104001	journal	October 2018
Wettability Stabilizes Fluid Invasion into Porous Media via Nonlocal, Cooperative Pore Filling Holtzman, Ran; Segre, Enrico Physical Review Letters, Vol. 115, Issue 16 https://doi.org/10.1103/PhysRevLett.115.164501	journal	October 2015
Dynamical Transition in Quasistatic Fluid Invasion in Porous Media Cieplak, Marek; Robbins, Mark O. Physical Review Letters, Vol. 60, Issue 20 https://doi.org/10.1103/PhysRevLett.60.2042	journal	May 1988
Early regimes of capillary filling Das, Siddhartha; Waghmare, Prashant R.; Mitra, Sushanta K. Physical Review E, Vol. 86, Issue 6 https://doi.org/10.1103/physreve.86.067301	journal	December 2012
Microscopic Determination of Remaining Oil Distribution in Sandstones With Different Permeability Scales Using Computed Tomography Scanning Yang, Yongfei; Yang, Haiyuan; Tao, Liu Journal of Energy Resources Technology, Vol. 141, Issue 9 https://doi.org/10.1115/1.4043131	journal	March 2019
A review on advanced imaging technologies for the quantification of wicking in textiles Parada, M.; Derome, D.; Rossi, Rm Textile Research Journal, Vol. 87, Issue 1 https://doi.org/10.1177/0040517515622151	journal	July 2016
Modeling and Analysis of Carbonate Matrix Acidizing Using a New Two-Scale Continuum Model Jia, Cunqi; Sepehrnoori, Kamy; Huang, Zhaoqin SPE Journal, Vol. 26, Issue 05 https://doi.org/10.2118/205012-PA	journal	January 2021
A critical review on fundamental mechanisms of spontaneous imbibition and the impact of boundary condition, fluid viscosity and wettability Meng, Qingbang; Liu, Huiqing; Wang, Jing Advances in Geo-Energy Research, Vol. 1, Issue 1 https://doi.org/10.26804/AGER.2017.01.01	journal	June 2017
A comprehensive review of pore scale modeling methodologies for multiphase flow in porous media Golparvar, Amir; Zhou, Yingfang; Wu, Kejian Advances in Geo-Energy Research, Vol. 2, Issue 4 https://doi.org/10.26804/AGER.2018.04.07	journal	August 2018
Spontaneous imbibition in shale: A review of recent advances Li, Caoxiong; Singh, Harpreet; Cai, Jianchao Capillarity, Vol. 2, Issue 2 https://doi.org/10.26804/CAPI.2019.02.01	journal	May 2019
Stable and Efficient Time Integration of a Dynamic Pore Network Model for Two-Phase Flow in Porous Media Gjennestad, Magnus Aa.; Vassvik, Morten; Kjelstrup, Signe Frontiers in Physics, Vol. 6 https://doi.org/10.3389/FPHY.2018.00056	journal	June 2018
Fluid Meniscus Algorithms for Dynamic Pore-Network Modeling of Immiscible Two-Phase Flow in Porous Media Sinha, Santanu; Gjennestad, Magnus Aa.; Vassvik, Morten Frontiers in Physics, Vol. 8 https://doi.org/10.3389/FPHY.2020.548497	journal	March 2021
Numerical visualization of supercritical CO2 displacement in pore-scale porous and fractured media saturated with water Liu, Hejuan; Zhu, Zhengwen; Patrick, Were Advances in Geo-Energy Research, Vol. 4, Issue 4 https://doi.org/10.46690/AGER.2020.04.07	journal	October 2020

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