Experimental Validation of a Pore-Scale-Derived Dimensionless Capillary Pressure Function for Imbibition Under Mixed-Wet Conditions
- Yingfang Zhou (University of Aberdeen) | Johan O. Helland (International Research Institute of Stavanger) | Dimitrios G. Hatzignatiou (University of Houston) | Rajib Ahsan (Statoil) | Aksel Hiorth (International Research Institute of Stavanger and University of Stavanger)
- Document ID
- Society of Petroleum Engineers
- SPE Journal
- Publication Date
- October 2017
- Document Type
- Journal Paper
- 1,338 - 1,348
- 2017.Society of Petroleum Engineers
- Mixed-wet, Pore scale modeling, Dimensionless capillary pressure function, Imbibition, Experimental validation
- 2 in the last 30 days
- 267 since 2007
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We validate experimentally a dimensionless capillary pressure function for imbibition at mixed-wet conditions that we developed recently on the basis of pore-scale modeling in rock images. The difference from Leverett’s traditional J-function is that our dimensionless function accounts for wettability and initial water saturation after primary drainage through area-averaged, effective contact angles that depend on the wetting property and distribution of oil- and water-wet grain surfaces. In the present work, we adopt the dimensionless function to scale imbibition capillary pressure data measured on mixed-wet sandstone and chalk cores. The measured data practically collapse to a unique curve when subjected to the dimensionless capillary pressure function. For each rock material, we use the average dimensionless curve to reproduce the measured capillary pressure curves and obtain excellent agreement. We also demonstrate two approaches to generate different capillary pressure curves at other mixed-wettability states than that available from the data used to generate the dimensionless curve. The first approach changes the shape of the spontaneous- and forced-imbibition segments of the capillary pressure curve whereas the saturation at zero capillary pressure is constant. The second approach shifts the vertical level of the entire capillary pressure curve, such that the Amott wetting index (and the saturation at zero capillary pressure) changes accordingly. Thus, integrating these two approaches with the dimensionless function yields increased flexibility to account for different mixed-wettability states. The validated dimensionless function scales mixed-wet capillary pressure curves from core samples accurately, which demonstrates its applicability to describe variations of wettability and permeability with capillary pressure in reservoir-simulation models. This allows for improved use of core experiments in predicting reservoir performance. Reservoir-simulation models can also use the dimensionless function together with existing capillary pressure correlations.
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Ahsan, R., Madland, M. V., Bratteli, F. et al. 2012. A Study of Sulphate Ions-Effects on Ageing and Imbibition Capillary Pressure Curves. Presented at the International Symposium of the Society of Core Analysts, Aberdeen, 27–30 August. SCA-2012-34.
Barenblatt, G. and Vinnichenko, A. P. 1980. Non-equilibrium Seepage of Immiscible Fluids. Adv. Mech. 3: 35–50. https://doi.org/10.1016/S0021-8928(00)00050-2.
Cassie, A. B. D. and Baxter, S. 1944. Wettability of Porous Surfaces. Trans. Faraday Soc. 40: 546. https://doi.org/10.1039/TF9444000546.
Frette, O. I. and Helland, J. O. 2010. A Semi-Analytical Model for Computation of Capillary Entry Pressures and Fluid Configurations in Uniformly-Wet Pore Spaces From 2D Rock Images. Adv. Water Resour. 33 (8): 846–866. https://doi.org/10.1016/j.advwatres.2010.05.002.
Gray, W. G. and Miller, C.T. 2011. TCAT Analysis of Capillary Pressure in Non-equilibrium, Two-fluid-phase, Porous Medium Systems. Adv. Water Resour. 34 (6): 770–778. https://doi.org/10.1016/j.advwatres.2011.04.001.
Hamon, G. and Pellerin, F. M. 1997. Evidencing Capillary Pressure and Relative Permeability Trends for Reservoir Simulation. Presented at the 1997 SPE Annual Technical Conference and Exhibition, San Antonio, Texas, USA, 5–8 October. SPE-38898-MS. https://doi.org/10.2118/38898-MS.
Hamon, G. 2000. Field-wide Variations of Wettability. Presented at the 2000 SPE Annual Technical Conference and Exhibition, Dallas, 1–4 October. SPE-63144-MS. https://doi.org/10.2118/63144-MS.
Hassanizadeh, S. M. and Gray, W. 1993. Thermodynamic Basis of Capillary Pressure in Porous Media. Water Resour. Res. 16: 53–67. https://doi.org/10.1029/93WR01495.
Hassanizadeh, S. M., Celia, M. A., and Dahle, H. K. 2002. Dynamic Effect in the Capillary Pressure–Saturation Relationship and Its Impacts on Unsaturated Flow. Vadose Zone Journal 1: 38–57. https://doi.org/10.2136/vzj2002.3800.
Helland, J. O. and Skjæveland, S. M. 2006. Physically-Based Capillary Pressure Correlation for Mixed-Wet Reservoirs From a Bundle-of-Tubes Model. SPE J. 11 (2): 171–180. SPE-89428-PA. https://doi.org/10.2118/89428-PA.
Helland, J. O. and Frette, O. I. 2010. Computation of Fluid Configurations and Capillary Pressures in Mixed-Wet 2D Pore Spaces From Rock Images. Proc., the XVIII International Conference on Water Resources, Barcelona, Spain.
Jadhunandan, P. P. and Morrow, N. R. 1995. Effect of Wettability on Waterflood Recovery for Crude-Oil/Brine/Rock Systems. SPE Res Eng 10 (1): 40–46. SPE-22597-PA. https://doi.org/10.2118/22597-PA.
Jerauld, G. R. and Rathmell, J. J. 1997. Wettability and Relative Permeability of Prudhoe Bay: A Case Study in Mixed-Wet Reservoirs. SPE Res Eng 12 (1): 58–65. SPE-28576-PA. https://doi.org/10.2118/28576-PA.
Jettestuen, E., Helland, J. O., and Prodanovic´, M. 2013. A Level Set Method for Simulating Capillary-Controlled Displacements at the Pore Scale With Nonzero Contact Angles. Water Resour. Res. 49: 4645–4661. https://doi.org/10.1002/wrcr.20334.
Kovscek, A. R., Wong, H., and Radke, C. J. 1993. A Pore-Level Scenario for the Development of Mixed Wettability in Oil Reservoirs. AIChE J. 39 (6): 1072–1085. https://doi.org/10.1002/aic.690390616.
Kumar, M. and Fogden, A. 2009. Patterned Wettability of Oil and Water in Porous Media. Langmuir 26 (6): 4036–4047. https://doi.org/10.1021/la903478q.
Kumar, M., Fogden, A., Senden, T. et al. 2012. Investigation of Pore-Scale Mixed Wettability. SPE J. 17 (1): 20–30. SPE-129974-PA. https://doi.org/10.2118/129974-PA.
Leverett, M. C. 1941. Capillary Behavior in Porous Solids. J Pet Technol 142 (1): 152–169. SPE-941152-G. https://doi.org/10.2118/941152-G.
Lomeland, F. and Ebeltoft, E. 2008. A New Versatile Capillary Pressure Correlation. Presented at the International Symposium of the Society of Core Analysts, Abu Dhabi, 29 October–2 November. SCA-2008-08.
Ma, S., Mason, G., and Morrow, N. R. 1996. Effect of Contact Angle on Drainage and Imbibition in Regular Polygonal Tubes. Colloids Surf., A Physicochem. Eng. Asp. 117 (3): 273–291. https://doi.org/10.1016/0927-7757(96)03702-8.
Masalmeh, S. K. 2001. Experimental Measurements of Capillary Pressure and Relative Permeability Hysteresis. Presented at the International Symposium of the Society of Core Analysts, Edinburgh. SCA-2001-023.
Øren, P. E., Bakke, S., and Arntzen, O. J. 1998. Extending Predictive Capabilities to Network Models. SPE J. 3 (4): 324–336. SPE-52052-PA. https://doi.org/10.2118/52052-PA.
Prodanovic, M., Bryant, S. L., and Karpyn, Z. T. 2010. Investigating Matrix/ Fracture Transfer Via a Level Set Method for Drainage and Imbibition. SPE J. 15 (1): 125–136. SPE-116110-PA. https://doi.org/10.2118/116110-PA.
Rose, W. and Bruce, W. A. 1949. Evaluation of Capillary Character in Petroleum Reservoir Rock. J Pet Technol 1 (5): 127–142. SPE-949127-G. https://doi.org/10.2118/949127-G.
Schlüter, S., Berg, S., Rücker, M. et al. 2016. Pore-Scale Displacement Mechanisms as a Source of Hysteresis for Two-Phase Flow in Porous Media. Water Resour. Res. 52: 2194–2205. https://doi.org/10.1002/2015WR018254.
Schmatz, J., Urai, J. L., Berg, S. et al. 2015. Nanoscale Imaging of Pore-Scale Fluid-Fluid-Solid Contacts in Sandstone. Geophys. Rev. Lett. 42: 2189–2195. https://doi.org/10.1002/2015GL063354.
Silin, D. and Patzek, T. 2004. On Barenblatt’s Model of Spontaneous Countercurrent Imbibition. Transp. Porous Media 54: 297–322. https://doi.org/10.1023/B:TIPM.0000003678.85526.b1.
Spiteri, E. J., Juanes, R., Blunt, M. J. et al. 2008. A New Model of Trapping and Relative Permeability Hysteresis for All Wettability Characteristics. SPE J. 13 (3): 277–288. SPE-96448-PA. https://doi.org/10.2118/96448-PA.
Zhou, Y., Helland, J. O., and Hatzignatiou, D. G. 2012. A Dimensionless Capillary Pressure Function for Imbibition Derived From Pore-Scale Modeling in Mixed-Wet-Rock Images. SPE J. 18 (2): 296–308. SPE-154129-PA. https://doi.org/10.2118/154129-PA.
Zhou, Y., Helland, J. O., and Hatzignatiou, D. G. 2016. Computation of Three-Phase Capillary Pressure Curves and Fluid Configurations at Mixed-Wet Conditions in 2D Rock Images. SPE J. 21 (1). SPE-170883-PA. https://doi.org/10.2118/170883-PA.