Analysis of Liquid Bridge Characteristics in a Horizontal Fracture: Critical Fracture Aperture and Fracture Capillary Pressure

Document Type : Research Paper

Authors

Chemical and Petroleum Engineering Department, Sharif University of Technology, Tehran, Iran

Abstract

The liquid bridge is considered a good means to maintain capillary continuity between overlying matrix blocks if its stability in fractures is preserved. Despite several studies focusing on the liquid bridge in different environments, little attention is paid to dig through a single liquid bridge between thin sections of minerals found in fractured reservoirs. In this study, a set of experiments was conducted to investigate liquid bridge stability and surface profile for different values of liquid volume and surface wettability conditions. It is found that critical fracture aperture is linearly proportional to the contact angle and to the third root of liquid volume, which is depicted by a newly developed expression. An accurate method for computation of capillary pressure of liquid bridge (known as fracture capillary pressure) from the experimentally determined interface profiles, based on the numerical solution of the Young-Laplace equation, is proposed. Following the Plateau sequence, both nodoid and unduloid shape bridges are observed with an increase in fracture aperture, corresponding to positive and negative fracture capillary pressure, respectively. It is interesting to note that instability of liquid bridges occurs at small negative values of capillary force where some attraction force exists between fracture faces. By applying a 1D mathematical model of liquid dripping, a modified expression for the prediction of critical fracture aperture is proposed, including fluid and flow-related parameters. The findings of this study help to better incorporate the role of liquid bridge and corresponding fracture capillary pressure in capillary continuity in fractured porous media.

Keywords

References

  1. Aghabarari A, Ghaedi M (2019) A new simulation approach to investigate reinfiltration phenomenon in fractured porous media, Journal of Petroleum Science and Engineering, 181: 106182. ##
  2. Aghabarari A, Ghaedi M, Riazi M (2020) Prediction of oil recovery in naturally fractured reservoirs subjected to reinfiltration during gravity drainage using a new scaling equation, Petroleum Exploration and Development, 47, 6: 1307-1315. ##
  3. Firoozabadi A, Markeset T (1992) Laboratory study of reinfiltration for gas-liquid system in fractured porous media, presented at the SPE Annual Technical Conference and Exhibition, Washington, USA. ##
  4. Sajjadian V, Danesh A, Tehrani D (1999) Laboratory study of gravity drainage mechanism in fractured carbonate reservoir-reinfiltration, presented at the SPE Latin American and Caribbean Petroleum Engineering Conference, Caracas, Venezuela. ##
  5. Zobeidi K, Rasaei M-R, Fassihi M R (2015) Simulation of the experimental results of miscible gravity drainage performance in a stack of matrix blocks, Journal of Porous Media, 18, 11. ##
  6. Gao S, Jin L, Du J, Liu H (2011) The liquid-bridge with large gap in micro structural systems, Journal of Modern Physics, 2, 05: 404.
  7. Behrend O, Oulevey F, Gourdon D, Dupas E, Kulik A, Gremaud G, Burnham N (1998) Intermittent contact: tapping or hammering? Applied Physics A, 66, 1: 219-221. ##
  8. Dutka F, Napiórkowski M (2006) Formation of capillary bridges in two-dimensional atomic force microscope-like geometry, The Journal of Chemical Physics, 124, 12: 121101. ##
  9. Mate C M, Novotny V (1991) Molecular conformation and disjoining pressure of polymeric liquid films, The Journal of Chemical Physics, 94, 12: 8420-8427. ##
  10. Men Y, Zhang X, Wang W (2009) Capillary liquid bridges in atomic force microscopy: Formation, rupture, and hysteresis, The Journal of Chemical Physics, 131, 18: 184702. ##
  11. Suzuki H, Mashiko S (1998) Adhesive force mapping of friction-transferred PTFE film surface, Applied Physics A: Materials Science and Processing, 66, 7: 1271-1274. ##
  12. Stifter T, Marti O, Bhushan B (2000) Theoretical investigation of the distance dependence of capillary and van der Waals forces in scanning force microscopy, Physical Review B, 62, 20: 13667. ##
  13. Alencar A M, Majumdar A, Hantos Z, Buldyrev S V, Stanley H E, Suki B (2005) Crackles and instabilities during lung inflation, Physica A: Statistical Mechanics and its Applications, 357, 1: 18-26. ##
  14. DiLisi G, Dempsey R, Rarick R, Rosenblatt C (2015) Using parabolic flights to examine quantitatively the stability of liquid bridges under varying total body force, Microgravity Science and Technology, 27, 3: 145-153. ##
  15. Pampaloni F, Reynaud E G, Stelzer E H (2007) The third dimension bridges the gap between cell culture and live tissue, Nature reviews Molecular Cell Biology, 8, 10: 839-845. ##
  16. Delenne J-Y, Richefeu V, Radjai F (2013) Capillary states of granular materials in the funicular state, AIP Conference Proceedings, Montpellier, France, 1023-1026. ##
  17. Iveson S, Litster J (1998) Fundamental studies of granule consolidation part 2: quantifying the effects of particle and binder properties, Powder Technology, 99, 3: 243-250. ##
  18. Iveson S, Litster J (1998) Liquid-bound granule impact deformation and coefficient of restitution, Powder technology, 99, 3: 234-242. ##
  19. Simons S J (2007) Liquid bridges in granules, Handbook of powder technology, Elsevier Science B.V., 1257-1316. ##
  20. McFarlane J, Tabor D (1950) Adhesion of solids and the effect of surface films, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 202, 1069: 224-243. ##
  21. Rabinovich Y I, Adler J J, Esayanur M S, Ata A, Singh R K, Moudgil B M (2002) Capillary forces between surfaces with nanoscale roughness, Advances in Colloid and Interface Science, 96, 1-3: 213-230. ##
  22. Schubert H (1984) Capillary forces-modeling and application in particulate technology, Powder technology, 37, 1: 105-116. ##
  23. Obata K J, Motokado T, Saito S, Takahashi K (2004) A scheme for micro-manipulation based on capillary force, Journal of Fluid Mechanics, 498: 113. ##
  24. Piner R D, Zhu J, Xu F, Hong S, Mirkin C A (1999) " Dip-pen" nanolithography, Science, 283, 5402: 661-663. ##
  25. Benard P, Zarebanadkouki M, Brax M, Kaltenbach R, Jerjen I, Marone F, Couradeau E, Felde V J, Kaestner A, Carminati A (2019) Microhydrological niches in soils: How mucilage and EPS alter the biophysical properties of the rhizosphere and other biological hotspots, Vadose Zone Journal, 18, 1: 1-10. ##
  26. Benard P, Zarebanadkouki M, Hedwig C, Holz M, Ahmed M A, Carminati A (2018) Pore‐scale distribution of mucilage affecting water repellency in the rhizosphere, Vadose Zone Journal, 17, 1: 1-9. ##
  27. Carminati A, Benard P, Ahmed M A, Zarebanadkouki M (2017) Liquid bridges at the root-soil interface, Plant and Soil, 417, 1: 1-15. ##
  28. Harimi B, Ghazanfari M H, Masihi M (2020) Modeling of capillary pressure in horizontal rough-walled fractures in the presence of liquid bridges, Journal of Petroleum Science and Engineering, 185: 106642. ##
  29. Harimi B, Ghazanfari M H, Masihi M (2021) Analysis of evaporating liquid bridge in horizontal fractures, Journal of Petroleum Science and Engineering, 202: 108577. ##
  30. Firoozabadi A, Hauge J (1990) Capillary Pressure in Fractured Porous Media (includes associated papers 21892 and 22212), Journal of Petroleum Technology, 42, 06: 784-791. ##
  31. Mashayekhizadeh V, Kharrat R, Ghazanfari M, Dejam M (2012) An experimental investigation of fracture tilt angle effects on frequency and stability of liquid bridges in fractured porous media, Petroleum Science and Technology, 30, 8: 807-816. ##
  32. Dejam M, Hassanzadeh H (2011) Formation of liquid bridges between porous matrix blocks, AIChE journal, 57, 2: 286-298. ##
  33. Dejam M, Hassanzadeh H, Chen Z (2015) Capillary forces between two parallel plates connected by a liquid bridge, Journal of Porous Media, 18, 3: 179-188. ##
  34. Miri R, Shadizadeh S, Kharrat R (2015) Static Stability of Liquid Bridges Between Matrix Blocks of a Gas Invaded Zone of Naturally Fractured Reservoirs, Petroleum Science and Technology, 33, 17-18: 1541-1551. ##
  35. Bina O, Aminshahidy B, Dadvar M, Moghadasi J (2020) Capillary continuity in fractured porous media; part II: Evaluation of fracture capillary pressure in the presence of liquid bridges using a novel microfluidic approach, Journal of Molecular Liquids, 314: 113666. ##
  36. Harimi B, Masihi M, Ghazanfari M H (2020) An insight into the formation of liquid bridge and its role on fracture capillary pressure during gravity drainage in fractured porous media, The Canadian Journal of Chemical Engineering, 99, S1: S212-S231. ##
  37. Butt H-J, Kappl M (2010) Capillary Forces, Surface and interfacial forces, John Wiley and Sons, 127-161. ##
  38. Dindoruk B, Firoozabadi A (1994) Computation of gas-liquid drainage in fractured porous media recognizing fracture liquid flow, SPE Annual Technical Meeting, Calgary, Alberta. ##
  39. Dejam M (2018) The role of fracture capillary pressure on the block-to-block interaction process, Journal of Porous Media, 21, 11: 1121-1136. ##
  40. Dehghan Monfared A, Ghazanfari M H, Jamialahmadi M, Helalizadeh A (2016) Potential application of silicananoparticles for wettability alteration of oil–wet calcite: A mechanistic study, Energy and Fuels, 30, 5: 3947-3961. ##
  41. Mihajlović S, Sekulić Ž, Daković A, Vučinić D, Jovanović V, Stojanović J (2009) Surface properties of natural calcite filler treated with stearic acid, Ceramics–Silikáty, 53, 4: 268-275. ##
  42. Fortes M (1982) Axisymmetric liquid bridges between parallel plates, Journal of Colloid and Interface Science, 88, 2: 338-352. ##
  43. Lian G, Thornton C, Adams M J (1993) A theoretical study of the liquid bridge forces between two rigid spherical bodies, Journal of Colloid and Interface Science, 161, 1: 138-147. ##
  44. Plateau J A F (1873) Statique expérimentale et théorique des liquides soumis aux seules forces moléculaires, Gauthier-Villars. ##
  45. Kralchevsky P, Nagayama K (2001) Particles at fluid interfaces and membranes: attachment of colloid particles and proteins to interfaces and formation of two-dimensional arrays, Elsevier. ##
  46. Wilson S (1988) The slow dripping of a viscous fluid, Journal of Fluid Mechanics, 190: 561-570. ##
  47. Green D W, Willhite G P (1998) Enhanced oil recovery, Society of Petroleum Engineers, Richardson, Texas. ##

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