Effect of surface roughness and lithology on the water-gas and water-oil relative permeability ratios of oil-wet single fractures

International Journal of Multiphase Flow

Volumn 75, Issue , 2015, Pages 68-81

  Babadagli, T ^a   Raza, S ^a   Ren, X ^b   Develi, K ^c  

^a UNIVERSITY OF ALBERTA   (Canada)

^b XI'AN UNIVERSITY   (China)

^c ISTANBUL TECHNICAL UNIVERSITY   (Turkey)

Author keywords

Cubic ratio; Displacement; Fracture surface roughness; Lithology; Relative permeabilities; Residual phases

Indexed keywords

FRACTAL DIMENSION; FRACTALS; FRACTURE; GASES; GRAIN SIZE AND SHAPE; HYDROGEN EMBRITTLEMENT; LIMESTONE; LITHOLOGY; STATISTICAL METHODS;

CUBIC RATIO; DISPLACEMENT; FRACTURE SURFACES; RELATIVE PERMEABILITY; RESIDUAL PHASES;

SURFACE ROUGHNESS;

EID: 84930664652     PISSN: 03019322     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijmultiphaseflow.2015.05.005     Document Type: Article

References (54)

1. Auradou H., Hulin J.P., Roux S. Experimental study of miscible displacement fronts in rough self-affine fractures. Phys. Rev. E 2001, 63(066306):1-10.
2. Auradou H., Drazer B., Boschan A., Hulin J.P., Koplik J. Flow channeling in a single fracture induced by shear displacement. Geothermics 2006, 35:576-588. 10.1016/j.geothermics.2006.11.004.
3. Babadagli T., Develi K. On the application of methods used to calculate fractal dimension of fracture surfaces. Fractals 2001, 9(1):105-128.
4. Babadagli T., Develi K. Fractal characteristics of rocks fractured under tension. Theor. Appl. Frac. Mech. 2003, 39(1):73-88.
5. Babadagli T., Ren X., Develi K. Effects of fractal surface roughness on single and multiphase flow in a single fracture: an experimental investigation. Int. J. Multiphase Flow 2015, 68:40-58.
6. Berkowitz B. Characterizing flow and transport in fractured geological media: a review. Adv. Water Resour. 2002, 25:861-884.
7. Brooks R.H., Corey A.T. Properties of porous media affecting fluid flow, proc. ASCE, IR2. J. Irrig. and Drain. Div. 1966, 92:61-88.
8. Brown S.R. A note on the description of surface roughness using fractal dimension. Geophys. Res. Lett. 1987, 14(11):1095-1098.
9. Brown S.R. Simple mathematical model of a rough fracture. J. Geophys. Res. 1995, 100:5941-5952.
10. Burdine N.T. Relative permeability calculation from pore size distribution data. Trans. Am. Inst. Min. Eng. 1953, 198:71-78.
11. Chen, C.-Y. (2005), Liquid-Gas Relative Permeabilities in Fractures: Effects of Flow Structures, Phase Transformation and Surface Roughness, Ph.D. dissertation, Stanford University, Stanford, California.
12. Chen C.-Y., Horne R.N. Experimental study of liquid-gas flow structure effects on relative permeabilities in a fracture. Water Resour. Res. 2004, 40:W08301. 10.1029/2004WR003026.
13. Chen C.-Y., Horne R.N. Two-phase flow in rough-walled fractures: experimental and a flow structure model. Water Resour. Res. 2006, 42:W03430. 10.1029/2004WR003837.
14. Chen C.-Y., Kewen C.L., Horne R.N. Experimental study of phase-transformation effects on relative permeabilities in fractures. SPE Res. Eval. Eng. 2007, 514-525. 10.2118/90233-PA.
15. Chih-Ying C., Kewen L., Horne R.N. Experimental study of phase-transformation effects on relative permeabilities in fractures. SPE Res. Eval. & Eng. 2007, 10(5):514-525. 10.2118/90233-PA.
16. Chima A., Chavez, E., Calderon, Z., 2010. An equation to predict two-phase relative permeability curves in fractures. SPE 138282. Presented at the Latin American and Caribbean Petroleum Engineering Conference, Lima, Peru, 1-3 December, doi: . doi:10.2118/138282-MS.
17. Clarke K.C. Computation of the fractal dimension of topographic surfaces using the triangular prism surface area method. Comput. Geosci. 1986, 12:713-722.
18. Corey A.T. The interrelation between gas and oil relative permeabilities. Prod. Mon. 1954, 19:38-41.
19. Den Outer A., Kasshoek J.F., Hack H.R.G.K. Difficulties with using continuous fractal theory for discontinuity surfaces. Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 1995, 32(1):3-9.
20. Develi K., Babadagli T. Quantification of natural fracture surfaces using fractal geometry. Math. Geol. 1998, 30(8):971-998.
21. Develi K., Babadagli T. Experimental and visual analysis of single-phase flow through rough fracture replicas. Int. J. Rock Mech. Min. Sci. 2015, 73:139-155.
22. Develi K., Babadagli T., Comlekci C. A new computer controlled surface scanning device for measurement of fracture surface roughness. Comp. Geosci. 2001, 27(3):265-277.
23. Dubuc B., Quiniou J.F., Roques-Carmes C., Tricot C., Zucker S.W. Evaluating the fractal dimension of profiles. Phys. Rev. A 1989, 39(3):1500-1512.
24. Fourar M., Bories S. Experimental study of air-water two-phase flow through a fracture (narrow channel). Int. J. Multiphase Flow 1995, 21(4):621-637.
25. Fourar M., Lenormand R. A new model for two-phase flows at high velocities through porous media and fractures. J. Pet. Sci. Eng. 2001, 30:121-127.
26. Fourar M., Bories S., Lenormand R., Persoff P. Two-phase flow in smooth and rough fractures: measurement and correlation by porous-medium and pipe flow models. Water Resour. Res. 1993, 29(11):3699-3708.
27. Glover P.W.J., Matsuki K., Hikima R., Hayashi K. Fluid flow in synthetic rough fractures and application to the hachimantai geothermal hot dry rock test site. J. Geophys. Res. 1998, 103(B5):9621-9635.
28. Glover P.W.J., Matsuki K., Hikima R., Hayashi K. Characterizing rock fractures using synthetic fractal analogues. Geotherm. Sci. & Tech. 1999, 6:83-112.
29. Huang S.L., Oelfke S.M., Speck R.C. Applicability of fractal characterization and modeling to joint profiles. Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 1992, 29(2):89-98.
30. Isakov E., Ogilvie S.R., Taylor C.W., Glover P.W.J. Fluid flow through rough fractures in rocks I: high resolution aperture determinations. Earth Planet. Sci. Lett. 2001, 191(3-4):267-282.
31. Johnson E.F., Bossler D.P., Naumann V. Calculation of relative permeability from displacement experiments. Trans. AIME 1959, 216:370-372.
32. Korfanta M., Babadagli T., Develi K. Fractal aspects of miscible displacement in rough fractures: an experimental approach. Fractals 2015, 23(1). pp. 1540005-1/24.
33. Lockhart R.W., Martinelli R.C. Proposed correlation of data for isothermal two-phase, two-component flow in pipes. Chem. Eng. Prog. 1949, 45:39-48.
34. Miller, S.M., McWilliams, P.C., Kerkering, J.C., 1990. Ambiguities in estimating fractal dimensions of rock fracture surfaces. In: Hustrulid, W., Johnson, G.A., Rock Mech. Contribution Challenges, Balkema, Rotterdam, pp. 471-478.
35. Murata, S., Mitsuishi, H., Saito, T., 2002. Characterization of fracture permeability by using a fractal model, SPE 77881. In: Proceedings of the Asia Pacific oil and Gas Conference and Exhibition, Melbourne, Australia, 8-10 October 2002. p. 1-8, doi: . doi:10.2118/77881-MS.
36. Nowamooz A., Radilla G., Fourar M. Non-darcian fwo-phase flow in a transparent replica of rough-walled rock fracture. Water Resour. Res. 2009, 45:W07406.
37. Ogilvie, S.R., Isakov, E., Glover, P.W.J., Taylor, C.W., 2001a. Use of image analysis and finite element analysis to characterise fluid flow in rough rock fractures and their synthetic analogues. In: Proc. 8th European Congress for Stereology and Image Analysis, Image Analysis and Stereology, 20(2), Suppl. 1, 504-509.
38. Ogilvie, S.R., Isakov, E., Glover, P.W.J., Taylor, C.W., 2001b. A new high resolution optical method for obtaining the topography of fracture surfaces in rocks. In: Proc. 8th European Congress for Stereology and Image Analysis, Image Analysis and Stereology 20(2), suppl. 1, 386-391.
39. Ogilvie S., Isakov E., Taylor C., Glover P.W.J. A new high resolution optical method for obtaining the topography of fracture surfaces in rocks. Image Anal Stereol. 2002, 21:61-66.
40. Ogilvie S.R., Isakov E., Glover P.W.J. Advances in the characterization of rough fractures in reservoir rocks. First Break 2002, 20(4):233-239.
41. Pande C.S., Richards L.R., Smith S. Fractal characteristics of fractured surfaces. J. Met. Sci. Lett. 1987, 6:295-297.
42. Persoff P., Pruess K. Two-phase flow visualization and relative permeability measurements in natural rough-walled rock fractures. Water Resour. Res. 1995, 3(5):1175-1186.
43. Pieters, D.A., Graves, R.M., 1994. Fracture relative permeability: linear or non-linear function of saturation. SPE 28701. Presented at the SPE International Petroleum Conf. and Exh. of Mexico, Veracruz, Mexico, 10-13 October 1994, doi: . doi:10.2118/28701-MS.
44. Pruess, K., Tsang, Y.W., 1989. On relative permeability of rough-walled fractures. Presented at the 14th Workshop on Geothermal Reservoir Engineering, Stanford University, January 24-26 1989.
45. Pruess K., Tsang Y.W. On two-phase relative permeability and capillary pressure of rough-walled rock fractures. Water Resour. Res. 1990, 26(9):1915-1926.
46. Radilla G., Nowamooz A.A., Fourar M. Modeling non-Darcian single- and two-phase flow in transparent replicas of rough-walled rock fractures. Transp. Porous Med. 2013, 98:401-426. 10.1007/s11242-013-0150-1.
47. Rasband, W.S., 1997-2005. ImageJ, U.S. National Institutes of Health, Bethesda, Maryland, USA http://rsbweb.nih.gov/ij/docs/user-guide.pdf.
48. Romm, E.S., 1966. Fluid Flow in Fractured Rocks, Nedra Publishing House, Moscow. English Translation, W.R. Blake, Bartlesville, 1972.
49. Rossen, W.R., Kumar, A.T.A., 1992. Single- and two-phase flow in natural fractures. SPE, Abstr., Presented at the 67th Ann. Tech. Conf. Exh., Washington, DC, 4-7 October 1992, doi: . doi:10.2118/24915-MS.
50. Schmittbuhl J., Vilotte J.P., Roux S. Reliability of self-affine measurements. Phys. Rev. E 1995, 51(1):131-147.
51. Shad S., Gates I.D. Multiphase flow in fractures: co-current and counter-current flow in a fracture. J. Can. Pet. Tech. 2010, 49(2):48-55. 10.2118/133205-PA.
52. Shad, S., Gates, I.D., Maini, B.B., 2008. Experimental study of heavy oil-water flow structure effects on relative permeabilities in a fracture filled with heavy oil. Presented at the International Thermal Operations and Heavy Oil Symposium, 20-23 October , Calgary, Alberta, doi: . doi:10.2118/117644-MS.
53. Shad, S., Maini, B.B., Gates, I.D., 2010. Effect of fracture and flow orientation on two-phase flow in an oil-wet fracture: relative permeability curves and flow structure. SPE 132229. Presented at the 2010 SPE Western Regional Meeting, Anaheim, CA, 27-29 May 2010, doi: . doi:10.2118/132229-MS.
54. Wong, R.C.K., Pan, Z., Maini, B.B., 2008. Correlation between pressure gradient and phase saturation for oil-water flow in smooth- and rough-walled parallel-plate models. Water Resour. Res., 44, WO2418, doi: . doi:10.1029/2007WR006043.