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

Tsuji, Takeshi; Jiang, Fei; Christensen, Kenneth T.

doi:10.1016/j.advwatres.2016.03.005

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

Journal Article · Fri Mar 11 00:00:00 EST 2016 · Advances in Water Resources

DOI:https://doi.org/10.1016/j.advwatres.2016.03.005· OSTI ID:1388385

^[1]; Jiang, Fei ^[1]; Christensen, Kenneth T. ^[2]

Kyushu Univ. (Japan)
Kyushu Univ. (Japan) ; Univ. of Notre Dame, IN (United States)

We characterize the influence of reservoir conditions upon multiphase flow, we calculated fluid displacements (drainage processes) in 3D pore spaces of Berea sandstone using two-phase lattice Boltzmann (LB) simulations. The results of simulations under various conditions were used to classify the resulting two-phase flow behavior into three typical fluid displacement patterns on the diagram of capillary number (Ca) and viscosity ratio of the two fluids (M). In addition, the saturation of the nonwetting phase was calculated and mapped on the Ca–M diagram. We then characterized dynamic pore-filling events (i.e., Haines jumps) from the pressure variation of the nonwetting phase, and linked this behavior to the occurrence of capillary fingering. The results revealed the onset of capillary fingering in 3D natural rock at a higher Ca than in 2D homogeneous granular models, with the crossover region between typical displacement patterns broader than in the homogeneous granular model. Furthermore, saturation of the nonwetting phase mapped on the Ca–M diagram significantly depends on the rock models. These important differences between two-phase flow in 3D natural rock and in 2D homogeneous models could be due to the heterogeneity of pore geometry in the natural rock and differences in pore connectivity. By quantifying two-phase fluid behavior in the target reservoir rock under various conditions (e.g., saturation mapping on the Ca–M diagram), our approach could provide useful information for investigating suitable reservoir conditions for geo-fluid management (e.g., high CO₂ saturation in CO₂ storage).

View Accepted Manuscript (DOE)

Research Organization:: Energy Frontier Research Centers (EFRC) (United States). Center for Geologic Storage of CO2 (GSCO2)

Sponsoring Organization:: USDOE; USDOE SC Office of Basic Energy Sciences (SC-22)

Grant/Contract Number:: SC0012504

OSTI ID:: 1388385

Alternate ID(s):: OSTI ID: 1344939

Journal Information:: Advances in Water Resources, Journal Name: Advances in Water Resources Journal Issue: C Vol. 95; ISSN 0309-1708

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

References (56)

Mush microphysics and the reactivation of crystal‐rich magma reservoirs Parmigiani, Andrea; Huber, Christian; Bachmann, Olivier Journal of Geophysical Research: Solid Earth, Vol. 119, Issue 8 https://doi.org/10.1002/2014JB011124	journal	August 2014
The study of heterogeneous two-phase flow around small-scale heterogeneity in porous sandstone by measured elastic wave velocities and lattice Boltzmann method simulation Kitamura, Keigo; Jiang, Fei; Valocchi, Albert J. Journal of Geophysical Research: Solid Earth, Vol. 119, Issue 10 https://doi.org/10.1002/2014JB011281	journal	October 2014
CO ₂ wettability of seal and reservoir rocks and the implications for carbon geo-sequestration Iglauer, Stefan; Pentland, C. H.; Busch, A. Water Resources Research, Vol. 51, Issue 1 https://doi.org/10.1002/2014WR015553	journal	January 2015
Impact of interfacial tension on residual CO ₂ clusters in porous sandstone Jiang, Fei; Tsuji, Takeshi Water Resources Research, Vol. 51, Issue 3 https://doi.org/10.1002/2014WR016070	journal	March 2015
A methodology for velocity field measurement in multiphase high‐pressure flow of CO ₂ and water in micromodels Kazemifar, Farzan; Blois, Gianluca; Kyritsis, Dimitrios C. Water Resources Research, Vol. 51, Issue 4 https://doi.org/10.1002/2014WR016787	journal	April 2015
Elucidating the Role of Interfacial Tension for Hydrological Properties of Two-Phase Flow in Natural Sandstone by an Improved Lattice Boltzmann Method Jiang, Fei; Tsuji, Takeshi; Hu, Changhong Transport in Porous Media, Vol. 104, Issue 1 https://doi.org/10.1007/s11242-014-0329-0	journal	May 2014
Reconstruction of Berea sandstone and pore-scale modelling of wettability effects Øren, Pål-Eric; Bakke, Stig Journal of Petroleum Science and Engineering, Vol. 39, Issue 3-4 https://doi.org/10.1016/S0920-4105(03)00062-7	journal	September 2003
Impact of geometrical properties on permeability and fluid phase distribution in porous media Lehmann, P.; Berchtold, M.; Ahrenholz, B. Advances in Water Resources, Vol. 31, Issue 9 https://doi.org/10.1016/j.advwatres.2008.01.019	journal	September 2008
Prediction of capillary hysteresis in a porous material using lattice-Boltzmann methods and comparison to experimental data and a morphological pore network model Ahrenholz, B.; Tölke, J.; Lehmann, P. Advances in Water Resources, Vol. 31, Issue 9 https://doi.org/10.1016/j.advwatres.2008.03.009	journal	September 2008
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
Inertial effects during irreversible meniscus reconfiguration in angular pores Ferrari, Andrea; Lunati, Ivan Advances in Water Resources, Vol. 74 https://doi.org/10.1016/j.advwatres.2014.07.009	journal	December 2014
Direct simulations of two-phase flow on micro-CT images of porous media and upscaling of pore-scale forces Raeini, Ali Q.; Blunt, Martin J.; Bijeljic, Branko Advances in Water Resources, Vol. 74 https://doi.org/10.1016/j.advwatres.2014.08.012	journal	December 2014
Modeling the velocity field during Haines jumps in porous media Armstrong, Ryan T.; Evseev, Nikolay; Koroteev, Dmitry Advances in Water Resources, Vol. 77 https://doi.org/10.1016/j.advwatres.2015.01.008	journal	March 2015
Numerical evaluation of two recoloring operators for an immiscible two-phase flow lattice Boltzmann model Leclaire, Sébastien; Reggio, Marcelo; Trépanier, Jean-Yves Applied Mathematical Modelling, Vol. 36, Issue 5 https://doi.org/10.1016/j.apm.2011.08.027	journal	May 2012
Lattice Boltzmann equation model for multi-component multi-phase flow with high density ratios Bao, Jie; Schaefer, Laura Applied Mathematical Modelling, Vol. 37, Issue 4 https://doi.org/10.1016/j.apm.2012.04.048	journal	February 2013
Evaluation of three lattice Boltzmann models for multiphase flows in porous media Huang, Haibo; Wang, Lei; Lu, Xi-yun Computers & Mathematics with Applications, Vol. 61, Issue 12 https://doi.org/10.1016/j.camwa.2010.06.034	journal	June 2011
A comparison study of multi-component Lattice Boltzmann models for flow in porous media applications Yang, Jianhui; Boek, Edo S. Computers & Mathematics with Applications, Vol. 65, Issue 6 https://doi.org/10.1016/j.camwa.2012.11.022	journal	March 2013
An adaptive scheme using hierarchical grids for lattice Boltzmann multi-phase flow simulations Tölke, Jonas; Freudiger, Sören; Krafczyk, Manfred Computers & Fluids, Vol. 35, Issue 8-9 https://doi.org/10.1016/j.compfluid.2005.08.010	journal	September 2006
A volume-preserving sharpening approach for the propagation of sharp phase boundaries in multiphase lattice Boltzmann simulations Reis, T.; Dellar, P. J. Computers & Fluids, Vol. 46, Issue 1 https://doi.org/10.1016/j.compfluid.2010.12.005	journal	July 2011
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
Exploring capillary trapping efficiency as a function of interfacial tension, viscosity, and flow rate Wildenschild, Dorthe; Armstrong, Ryan T.; Herring, Anna L. Energy Procedia, Vol. 4 https://doi.org/10.1016/j.egypro.2011.02.464	journal	January 2011
Geological storage of CO2 in saline aquifers—A review of the experience from existing storage operations Michael, K.; Golab, A.; Shulakova, V. International Journal of Greenhouse Gas Control, Vol. 4, Issue 4 https://doi.org/10.1016/j.ijggc.2009.12.011	journal	July 2010
Interfacial jumps and pressure bursts during fluid displacement in interacting irregular capillaries Moebius, Franziska; Or, Dani Journal of Colloid and Interface Science, Vol. 377, Issue 1 https://doi.org/10.1016/j.jcis.2012.03.070	journal	July 2012
The effect of displacement rate on imbibition relative permeability and residual saturation Nguyen, Viet Hoai; Sheppard, Adrian P.; Knackstedt, Mark A. Journal of Petroleum Science and Engineering, Vol. 52, Issue 1-4 https://doi.org/10.1016/j.petrol.2006.03.020	journal	June 2006
Studies in the physical properties of soil. V. The hysteresis effect in capillary properties, and the modes of moisture distribution associated therewith Haines, William B. The Journal of Agricultural Science, Vol. 20, Issue 1 https://doi.org/10.1017/S002185960008864X	journal	January 1930
Kinetic theory representation of hydrodynamics: a way beyond the Navier–Stokes equation Shan, Xiaowen; Yuan, Xue-Feng; Chen, Hudong Journal of Fluid Mechanics, Vol. 550, Issue -1 https://doi.org/10.1017/S0022112005008153	journal	February 2006
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
Influence of Viscous and Capillary Forces on Immiscible Fluid Displacement: Pore-Scale Experimental Study in a Water-Wet Micromodel Demonstrating Viscous and Capillary Fingering Zhang, Changyong; Oostrom, Mart; Wietsma, Thomas W. Energy & Fuels, Vol. 25, Issue 8 https://doi.org/10.1021/ef101732k	journal	August 2011
Experimental Study of Crossover from Capillary to Viscous Fingering for Supercritical CO ₂ –Water Displacement in a Homogeneous Pore Network Wang, Ying; Zhang, Changyong; Wei, Ning Environmental Science & Technology, Vol. 47, Issue 1 https://doi.org/10.1021/es3014503	journal	June 2012
Lattice Boltzmann Simulations of Supercritical CO ₂ –Water Drainage Displacement in Porous Media: CO ₂ Saturation and Displacement Mechanism Yamabe, Hirotatsu; Tsuji, Takeshi; Liang, Yunfeng Environmental Science & Technology, Vol. 49, Issue 1 https://doi.org/10.1021/es504510y	journal	December 2014
Impact of Wettability on Pore-Scale Characteristics of Residual Nonaqueous Phase Liquids Al-Raoush, Riyadh I. Environmental Science & Technology, Vol. 43, Issue 13 https://doi.org/10.1021/es802566s	journal	July 2009
Lattice-Boltzmann simulation of two-phase flow in porous media: LB SIMULATION OF TWO-PHASE FLOW Pan, C.; Hilpert, M.; Miller, C. T. Water Resources Research, Vol. 40, Issue 1 https://doi.org/10.1029/2003WR002120	journal	January 2004
Pore-scale determination of parameters for macroscale modeling of evaporation processes in porous media: DETERMINATION OF PARAMETERS FOR MACROSCALE MODELING Ahrenholz, B.; Niessner, J.; Helmig, R. Water Resources Research, Vol. 47, Issue 7 https://doi.org/10.1029/2010WR009519	journal	July 2011
Control of interfacial instabilities using flow geometry Al-Housseiny, Talal T.; Tsai, Peichun A.; Stone, Howard A. Nature Physics, Vol. 8, Issue 10 https://doi.org/10.1038/nphys2396	journal	August 2012
Real-time 3D imaging of Haines jumps in porous media flow Berg, S.; Ott, H.; Klapp, S. A. Proceedings of the National Academy of Sciences, Vol. 110, Issue 10 https://doi.org/10.1073/pnas.1221373110	journal	February 2013
Lattice-Boltzmann simulations in reconstructed parametrized porous media Ahrenholz, Benjamin; Tölke, Jonas; Krafczyk, Manfred International Journal of Computational Fluid Dynamics, Vol. 20, Issue 6 https://doi.org/10.1080/10618560601024694	journal	July 2006
TeraFLOP computing on a desktop PC with GPUs for 3D CFD Tölke, J.; Krafczyk, M. International Journal of Computational Fluid Dynamics, Vol. 22, Issue 7 https://doi.org/10.1080/10618560802238275	journal	August 2008
Lattice Boltzmann simulations of binary fluid flow through porous media Tölke, Jonas Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, Vol. 360, Issue 1792 https://doi.org/10.1098/rsta.2001.0944	journal	March 2002
Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation He, Xiaoyi; Luo, Li-Shi Physical Review E, Vol. 56, Issue 6 https://doi.org/10.1103/PhysRevE.56.6811	journal	December 1997
Discrete Boltzmann equation model for nonideal gases He, Xiaoyi; Shan, Xiaowen; Doolen, Gary D. Physical Review E, Vol. 57, Issue 1 https://doi.org/10.1103/PhysRevE.57.R13	journal	January 1998
Crossover from capillary fingering to viscous fingering for immiscible unstable flow: Experiment and modeling Ferer, M.; Ji, Chuang; Bromhal, Grant S. Physical Review E, Vol. 70, Issue 1 https://doi.org/10.1103/PhysRevE.70.016303	journal	July 2004
Growth activity during fingering in a porous Hele-Shaw cell Løvoll, Grunde; Méheust, Yves; Toussaint, Renaud Physical Review E, Vol. 70, Issue 2 https://doi.org/10.1103/PhysRevE.70.026301	journal	August 2004
Two-phase flow in porous media: Crossover from capillary fingering to compact invasion for drainage Ferer, M.; Bromhal, Grant S.; Smith, Duane H. Physical Review E, Vol. 71, Issue 2 https://doi.org/10.1103/PhysRevE.71.026303	journal	February 2005
Diffusion properties of gradient-based lattice Boltzmann models of immiscible fluids Latva-Kokko, M.; Rothman, Daniel H. Physical Review E, Vol. 71, Issue 5 https://doi.org/10.1103/PhysRevE.71.056702	journal	May 2005
Crossover from fractal capillary fingering to compact flow: The effect of stable viscosity ratios Ferer, M.; Bromhal, Grant S.; Smith, Duane H. Physical Review E, Vol. 76, Issue 4 https://doi.org/10.1103/PhysRevE.76.046304	journal	October 2007
Distribution of multiphase fluids in porous media: Comparison between lattice Boltzmann modeling and micro-x-ray tomography Sukop, Michael C.; Huang, Haibo; Lin, Chen Luh Physical Review E, Vol. 77, Issue 2 https://doi.org/10.1103/PhysRevE.77.026710	journal	February 2008
Drainage in two-dimensional porous media: From capillary fingering to viscous flow Cottin, Christophe; Bodiguel, Hugues; Colin, Annie Physical Review E, Vol. 82, Issue 4 https://doi.org/10.1103/PhysRevE.82.046315	journal	October 2010
Changes in pore geometry and relative permeability caused by carbonate precipitation in porous media Jiang, Fei; Tsuji, Takeshi Physical Review E, Vol. 90, Issue 5 https://doi.org/10.1103/PhysRevE.90.053306	journal	November 2014
Dynamic Capillary Pressure in Porous Media: Origin of the Viscous-Fingering Length Scale Weitz, D. A.; Stokes, J. P.; Ball, R. C. Physical Review Letters, Vol. 59, Issue 26 https://doi.org/10.1103/PhysRevLett.59.2967	journal	December 1987
Use of the Boltzmann Equation to Simulate Lattice-Gas Automata McNamara, Guy R.; Zanetti, Gianluigi Physical Review Letters, Vol. 61, Issue 20 https://doi.org/10.1103/PhysRevLett.61.2332	journal	November 1988
Dynamics of slow drainage in porous media Målo?y, Knut Jo?rgen; Furuberg, Liv; Feder, Jens Physical Review Letters, Vol. 68, Issue 14 https://doi.org/10.1103/PhysRevLett.68.2161	journal	April 1992
Lattice-Boltzmann Method for Complex Flows Aidun, Cyrus K.; Clausen, Jonathan R. Annual Review of Fluid Mechanics, Vol. 42, Issue 1 https://doi.org/10.1146/annurev-fluid-121108-145519	journal	January 2010
Viscous Fingering in Porous Media Homsy, G. M. Annual Review of Fluid Mechanics, Vol. 19, Issue 1 https://doi.org/10.1146/annurev.fl.19.010187.001415	journal	January 1987
Influence of pore-scale disorder on viscous fingering during drainage Toussaint, R.; Løvoll, G.; Méheust, Y. Europhysics Letters (EPL), Vol. 71, Issue 4 https://doi.org/10.1209/epl/i2005-10136-9	journal	August 2005
Two-Phase Flow: Structure, Upscaling, and Consequences for Macroscopic Transport Properties Toussaint, R.; Måløy, K. J.; Méheust, Y. Vadose Zone Journal, Vol. 11, Issue 3 https://doi.org/10.2136/vzj2011.0123	journal	January 2012
Three-Dimensional Imaging of Pore-Scale Water Flooding Phenomena in Water-Wet and Oil-Wet Porous Media Setiawan, Arief; Suekane, Tetsuya; Deguchi, Yoshihiro Journal of Flow Control, Measurement & Visualization, Vol. 02, Issue 02 https://doi.org/10.4236/jfcmv.2014.22005	journal	January 2014

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