Pore-scale simulation of water/oil displacement in a water-wet channel

Abstract

Water/oil flow characteristics in a water-wet capillary were simulated at the pore scale to increase our understanding on immiscible flow and enhanced oil recovery. Volume of fluid method was used to capture the interface between oil and water and a pore-throat connecting structure was established to investigate the effects of viscosity, interfacial tension (IFT) and capillary number ( Ca). The results show that during a water displacement process, an initial continuous oil phase can be snapped off in the water-wet pore due to the capillary effect. By altering the viscosity of the displacing fluid and the IFT between the wetting and non-wetting phases, the snapped-off phenomenon can be eliminated or reduced during the displacement. A stable displacement can be obtained under high Ca number conditions. Different displacement effects can be obtained at the same Ca number due to its significant influence on the flow state, i.e., snapped-off flow, transient flow and stable flow, and ultralow IFT alone would not ensure a very high recovery rate due to the fingering flow occurrence. A flow chart relating flow states and the corresponding oil recovery factor is established.

Graphical abstract

Keywords

VOF / pore scale / immiscible displacement / EOR / snap-off / Ca

References

[1] Setiawan A, Suekane T, Deguchi Y, Kusano K. Three-dimensional imaging of pore-scale water flooding phenomena in water-wet and oil-wet porous media. Journal of Flow Control. Measurement & Visualization, 2014, 2(2): 25–31

[2] Schlüter S, Berg S, Rücker M, Armstrong R T, Vogel H J, Hilfer R, Wildenschild D. Pore-scale displacement mechanisms as a source of hysteresis for two-phase flow in porous media. Water Resources Research, 2016, 52(3): 2194–2205

[3] Kallel W, van Dijke M I J, Sorbie K S, Wood R, Jiang Z, Harland S. Modelling the effect of wettability distributions on oil recovery from microporous carbonate reservoirs. Advances in Water Resources, 2016, 95: 317–328

[4] Raeini A Q, Bijeljic B, Blunt M J. Modelling capillary trapping using finite-volume simulation of two-phase flow directly on micro-CT images. Advances in Water Resources, 2015, 83: 102–110

[5] Andrew M, Bijeljic B, Blunt M J. Pore-scale contact angle measurements at reservoir conditions using X-ray microtomography. Advances in Water Resources, 2014, 68: 24–31

[6] Arns C H, Knackstedt M A, Pinczewski W V, Garboczi E J. Computation of linear elastic properties from microtomographic images: Methodology and agreement between theory and experiment. Geophysics, 2002, 67(5): 1396–1405

[7] Meakin P, Tartakovsky A M. Modeling and simulation of pore-scale multiphase fluid flow and reactive transport in fractured and porous media. Reviews of Geophysics, 2009, 47(3): 1–47

[8] Tryggvason G, Bunner B, Esmaeeli A, Juric D, Al-Rawahi N, Tauber W, Han J, Nas S, Jan Y J. A front-tracking method for the computations of multiphase flow. Journal of Computational Physics, 2001, 169(2): 708–759

[9] Fukai J, Shiiba Y, Yamamoto T, Miyatake O, Poulikakos D, Megaridis C M, Zhao Z. Wetting effects on the spreading of a liquid droplet colliding with a flat surface: Experiment and modeling. Physics of Fluids, 1995, 7(2): 236–247

[10] Hirt C W, Nichols B D. Volume of fluid (VOF) method for the dynamics of free boundaries. Journal of Computational Physics, 1981, 39(1): 201–225

[11] Lv M, Wang S. Pore-scale modeling of a water/oil two-phase flow in hot water flooding for enhanced oil recovery. RSC Advances, 2015, 5(104): 85373–85382

[12] Ferrari A, Lunati I. Direct numerical simulations of interface dynamics to link capillary pressure and total surface energy. Advances in Water Resources, 2013, 57: 19–31

[13] Brackbill J U, Kothe D B, Zemach C. A continuum method for modeling surface tension. Journal of Computational Physics, 1992, 100(2): 335–354

[14] Afkhami S, Zaleski S, Bussmann M. A mesh-dependent model for applying dynamic contact angles to VOF simulations. Journal of Computational Physics, 2009, 228(15): 5370–5389

[15] Tomin P, Lunati I. Hybrid multiscale finite volume method for two-phase flow in porous media. Journal of Computational Physics, 2013, 250: 293–307

[16] Yang X, Scheibe T D, Richmond M C, Perkins W A, Vogt S J, Codd S L, Seymour J D, McKinley M I. Direct numerical simulation of pore-scale flow in a bead pack: Comparison with magnetic resonance imaging observations. Advances in Water Resources, 2013, 54: 228–241

[17] Horgue P, Augier F, Duru P, Prat M, Quintard M. Experimental and numerical study of two-phase flows in arrays of cylinders. Chemical Engineering Science, 2013, 102: 335–345

[18] Roof J G. Snap-off of oil droplets in water-wet pores. Society of Petroleum Engineers Journal, 1970, 10(1): 85–90

[19] Kiss É, Pintér J, Wolfram E. Dynamics of oil/water displacement in capillary tubes with periodically varying diameter. Colloid & Polymer Science, 1982, 260(8): 808–810

[20] Yu L, Wardlaw N C. The influence of wettability and critical pore-throat size ratio on snap-off. Journal of Colloid and Interface Science, 1986, 109(2): 461–472

[21] Ransohoff T C, Gauglitz P A, Radke C J. Snap-off of gas bubbles in smoothly constricted noncircular capillaries. AIChE Journal. American Institute of Chemical Engineers, 1987, 33(5): 753–765

[22] Ransohoff T C, Radke C J. Laminar flow of a wetting liquid along the corners of a predominantly gas—occupied noncircular pore. Journal of Colloid and Interface Science, 1988, 121(2): 392–401

[23] Al-Gharbi M S, Blunt M J. Dynamic network modeling of two-phase drainage in porous media. Physical Review. E, 2005, 71(1): 016308

[24] Al-Gharbi M S. Dynamic pore-scale modelling of twophase flow. Dissertation for the Doctoral Degree. London: University of London, 2004, 1–132

[25] Beresnev I A, Deng W. Theory of breakup of core fluids surrounded by a wetting annulus in sinusoidally constricted capillary channels. Physics of Fluids, 2010, 22(1): 012105

[26] Beresnev I A, Li W, Vigil R D. Condition for break-up of non-wetting fluids in sinusoidally constricted capillary channels. Transport in Porous Media, 2009, 80(3): 581–604

[27] Deng W. Quantitative aspects of vibratory mobilization and break-up of non-wetting fluids in porous media. Dissertation for the Doctoral Degree. Iowa: Iowa State University, 2010, 1–124

[28] Deng W, Cardenas M B. Dynamics and dislodgment from pore constrictions of a trapped nonwetting droplet stimulated by seismic waves. Water Resources Research, 2013, 49(7): 4206–4218

[29] Deng W, Cardenas M B, Bennett P C. Extended Roof snap-off for a continuous nonwetting fluid and an example case for supercritical CO₂. Advances in Water Resources, 2014, 64: 34–46

[30] Roman S, Abu-Al-Saud M O, Tokunaga T, Wan J, Kovscek A R, Tchelepi H A. Measurements and simulation of liquid films during drainage displacements and snap-off in constricted capillary tubes. Journal of Colloid and Interface Science, 2017, 507: 279–289

[31] Abu-Al-Saud M O, Riaz A, Tchelepi H A. Multiscale level-set method for accurate modeling of immiscible two-phase flow with deposited thin films on solid surfaces. Journal of Computational Physics, 2017, 333: 297–320

[32] Deng W, Balhoff M, Cardenas M B. Influence of dynamic factors on nonwetting fluid snap-off in pores. Water Resources Research, 2015, 51(11): 9182–9189

[33] Raffa P, Broekhuis A A, Picchioni F. Polymeric surfactants for enhanced oil recovery: A review. Journal of Petroleum Science Engineering, 2016, 145: 723–733

[34] Hirasaki G, Miller C A, Puerto M. Recent advances in surfactant EOR. SPE Journal, 2011, 16(04): 889–907

[35] Ko K M, Chon B H, Jang S B, Jang H Y. Surfactant flooding characteristics of dodecyl alkyl sulfate for enhanced oil recovery. Journal of Industrial and Engineering Chemistry, 2014, 20(1): 228–233

[36] Yu Q, Jiang H, Zhao C. Study of interfacial tension between oil and surfactant polymer flooding. Petroleum Science and Technology, 2010, 28(18): 1846–1854

[37] Samanta A, Ojha K, Sarkar A, Mandal A. Surfactant and surfactant-polymer flooding for enhanced oil recovery. Advances in Petroleum Exploration and Development, 2011, 2(1): 13–18

[38] Olajire A A. Review of ASP EOR (alkaline surfactant polymer enhanced oil recovery) technology in the petroleum industry: Prospects and challenges. Energy, 2014, 77: 963–982

[39] Raffa P, Wever D A Z, Picchioni F, Broekhuis A A. Polymeric surfactants: Synthesis, properties, and links to applications. Chemical Reviews, 2015, 115(16): 8504–8563

[40] Liu R C, Pallier A, Brestaz M, Pantoustier N, Tribet C. Impact of polymer microstructure on the self-assembly of amphiphilic polymers in aqueous solutions. Macromolecules, 2007, 40(12): 4276–4286

[41] Meybodi H E, Kharrat R, Wang X. Study of microscopic and macroscopic displacement behaviors of polymer solution in water-wet and oil-wet media. Transport in Porous Media, 2011, 89(1): 97–120

[42] Wever D A Z, Picchioni F, Broekhuis A A. Polymers for enhanced oil recovery: A paradigm for structure-property relationship in aqueous solution. Progress in Polymer Science, 2011, 36(11): 1558–1628

[43] Abidin A Z, Puspasari T, Nugroho W A. Polymers for enhanced oil recovery technology. Procedia Chemistry, 2012, 4: 11–16

[44] Brackbill J U, Kothe D B, Zemach C. A continuum method for modeling surface tension. Journal of Computational Physics, 1992, 100(2): 335–354

[45] Bagrintseva K I. Carbonate Reservoir Rocks. New Jersey: Wiley, 2015, 1–285

[46] Nelson P H. Pore-throat sizes in sandstones, tight sandstones, and shales. AAPG Bulletin, 2009, 93(3): 329–340

[47] Dake L P. The Practice of Reservoir Engineering. Amsterdam: Elsevier, 2013, 1–518

[48] White F M, Corfield I. Viscous Fluid Flow. New York: McGraw-Hill, 2006, 1–578

[49] Bear J. Dynamics of Fluids in Porous Media. Massachusetts: Courier Corporation, 2013, 1–725

[50] Setu S A, Zacharoudiou I, Davies G J, Bartolo D, Moulinet S, Louis A A, Yeomans J M, Aarts D G A L. Viscous fingering at ultralow interfacial tension. Soft Matter, 2013, 9(44): 10599–10605

[51] Zhang H, Dong M, Zhao S. Which one is more important in chemical flooding for enhanced court heavy oil recovery, lowering interfacial tension or reducing water mobility? Energy & Fuels, 2010, 24(3): 1829–1836

[52] Saffman P G, Taylor G I. The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid. Proceedings of the Royal Society of London, 1958, 245(1242): 312–329

[53] Sheng J J. Preferred calculation formula and buoyancy effect on capillary number. Asia-Pacific Journal of Chemical Engineering, 2015, 10(3): 400–410