Modeling of two-phase flow in heterogeneous wet porous media

Yihang Xiao, Yongming He, Jun Zheng, Jiuyu Zhao

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Abstract


The characterization of two-phase flow has been commonly based on homogeneous wet capillary models, which are limited to heterogeneous wet porous media. In this work, capillary pressure and relative permeability models for three heterogeneous wet systems are derived, which enable the analysis of the effect of oil-wet ratio on the two-phase flow mechanism. The capillary pressures, relative permeabilities and water cut curves of three systems are simulated at the primary drainage stage. The results show that water-wet and oil-wet systems exhibit drainage and imbibition characteristics, respectively, while heterogeneous wet systems show both of these characteristics, and a large oil- wet ratio is favourable to oil imbibition. Mixed-wet large and mixed-wet small systems have water-wet and oil-wet characteristics, respectively, at the end and the beginning of oil displacement. At the drainage stage, the oil-wet ratio can significantly decrease oil conductivity, while water conductivity is enhanced. The conductivity difference between oil and water firstly decreases and then increases with rising water saturation, and the difference diminishes with the increase in oil-wet ratio. The oil-wet ratio can reduce water displacement efficiency, and its effects on the water cut curves vary between the three systems due to wettability distribution and pore-size mutation. The mixed-wet small system has the strongest oil imbibition ability caused by the largest capillary pressure in oil-wet pores and the smallest drainage pressure in water-wet pores, and high water conductivity causes the greatest water cut. The trend of variations in the mixed-wet large system is opposite to that in the mixed-wet small system, and the fractional-wet system is located between the other two systems.

Cited as: Xiao, Y., He, Y., Zheng, J., Zhao, J. Modeling of two-phase flow in heterogeneous wet porous media. Capillarity, 2022, 5(3): 41-50. https://doi.org/10.46690/capi.2022.03.01


Keywords


Heterogeneous wet system, two-phase flow, capillary bundle model, capillary pressure, relative permeability

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Alhammadi, A. M., Gao, Y., Akai, T., et al. Pore-scale X- ray imaging with measurement of relative permeability, capillary pressure and oil recovery in a mixed-wet micro- porous carbonate reservoir rock. Fuel, 2020, 268(15): 117018.

Anderson, W. G. Wettability literature survey-Part 4: Effects of wettability on capillary pressure. Journal of Petroleum Technology, 1987, 39(10): 1283-1300.

Bauters, T. W. J., Steenhuis, T. S., Dicarlo, D. A., et al. Physics of water repellent soils. Journal of Hydrology, 2000, 231- 232(29): 233-243.

Blunt, M. J. Pore level modeling of the effects of wettability. SPE Journal, 1997, 2(4): 494-510.

Bradford, S. A., Leij, F. J. Predicting two- and three-fluid capillary pressure saturation relationships of porous media with fractional wettability. Water Resources Research, 1996, 32(2): 251-259.

Cai, J. Some key issues and thoughts on spontaneous imbibition in porous media. Chinese Journal of Computational Physics, 2021, 38(5): 505-512. (in Chinese)

Cai, J., Perfect, E., Cheng, C. L., et al. Generalized modeling of spontaneous imbibition based on Hagen-Poiseuille flow in tortuous capillaries with variably shaped apertures. Langmuir, 2014, 30(18): 5142-5151.

Cassie, A. B. D., Baxter, S. Wettability of porous surfaces. Transactions of the Faraday Society, 1944, 40(1): 546- 551.

Chang, C., Kneafsey, T. J., Wan, J., et al. Impacts of mixed- wettability on brine drainage and supercritical CO2 storage efficiency in a 2.5-D heterogeneous micromodel. Water Resources Research, 2020, 56(7): e2019WR026789.

Craig, F. F. The Reservoir engineering aspects of waterflooding. SPE Monograph Series, 1971.

Diao, Z., Li, S., Liu, W., et al. Numerical study of the effect of tortuosity and mixed wettability on spontaneous imbibition in heterogeneous porous media. Capillarity, 2021, 4(3): 50-62.

Dodd, N., Marathe, R., Middleton, J., et al. Pore-scale imaging of oil and wettability in native-state, mixed-wet reservoir carbonates. Paper SPE 17696 Presented at International Petroleum Technology Conference, Doha, Qatar, 19-22 January, 2014.

Elakneswaran, Y., Ubaidah, A., Takeya, M., et al. Effect of electrokinetics and thermodynamic equilibrium on low- salinity water flooding for enhanced oil recovery in sandstone reservoirs. ACS Omega, 2021, 6(5): 3727- 3735.

El-Amin, M., Kou, J., Sun, S., et al. Adaptive time-splitting scheme for two-phase flow in heterogeneous porous media. Advances in Geo-Energy Research, 2017, 1(3): 182-189.

Falode, O., Manuel, E. Wettability effects on capillary pressure, relative permeability, and irredcucible saturation using porous plate. Journal of Petroleum Engineering, 2014, 2014: 465418.

Gao, Y., Raeini, A. Q., Selem, A. M., et al. Pore-scale imaging with measurement of relative permeability and capillary pressure on the same reservoir sandstone sample under water-wet and mixed-wet conditions. Advances in Water Resources, 2020, 146: 103786.

Helland, J. O., Skjaeveland, S. M. Physically based capillary pressure correlation for mixed-wet reservoirs from a bundle-of-tubes model. SPE Journal, 2004, 11(2): 171- 180.

Hui, M. H., Blunt, M. J. Effects of wettability on three-phase flow in porous media. Journal of Physical Chemistry B, 2000, 104(16): 3833-3845.

Hwang, S. I., Lee, K. P., Lee, D. S., et al. Effects of fractional wettability on capillary pressure-saturation-relative permeability relations of two-fluid systems. Advances in Water Resources, 2006, 29(2): 212-226.

Jerauld, G. R., Rathmell, J. J. Wettability and relative permeability of prudhoe bay: A case study in mixed-wet reservoirs. SPE Reservoir Engineering, 1997, 12(1): 58- 65.

Jiao, L., Andersen, P. Ø., Zhou, J., et al. Applications of mercury intrusion capillary pressure for pore structures: A review. Capillarity, 2020, 3(4): 62-74

Kallel, W., van Dijke, M. I. J., Sorbie, K. S., et al. Pore- scale modeling of wettability alteration during primary drainage. Water Resources Research, 2017, 53(3): 1891- 1907.

Kjosavik, A., Ringen, J. K., Skjaeveland, S. M. Relative permeability correlation for mixed-wet reservoirs. SPE Journal, 2002, 7(1): 49-58.

Kosugi, K. Three-parameter lognormal distribution model for soil water retention. Water Resources Research, 1994, 30(4): 891-901.

Kovscek, A. R., Wong, H., Radke, C. J. A pore-level scenario for the development of mixed-wettability in oil reservoirs. Environmental and Energy Engineering, 1993, 39(6): 1072-1085.

Mayer, R. P., Stowe, R. A. Mercury porosimetry-breakthrough pressure for penetration between packed spheres. Journal of Colloid Science, 1965, 20(8): 893-911.

Nemer, M. N., Rao, P. R., Schaefer, L. Wettability alteration implications on pore-scale multiphase flow in porous media using the lattice Boltzmann method. Advances in Water Resources, 2020, 146: 103790.

Nutting, P. G. Some physical and chemical properties of reservoir rocks bearing on the accumulation and discharge of oil. Index of North American Geology, 1934, 12: 825- 832.

O’Carroll, D. M., Abriola, L. M., Polityka, C. A., et al. Prediction of two-phase capillary pressure-saturation relationships in fractional wettability systems. Journal of Contaminant Hydrology, 2005, 77(4): 247-270.

Pierez, I., Puntervold, T., Strand, S., et al. Core wettability reproduction: A new solvent cleaning and core restoration strategy for chalk cores. Journal of Petroleum Science and Engineering, 2020, 195: 107654.

Princen, H. M. Capillary phenomena in assemblies of parallel cylinders: I. Capillary rise between two cylinders. Journal of Colloid and Interface Science, 1969a, 30(1): 69-75.

Princen, H. M. Capillary phenomena in assemblies of parallel cylinders: II. Capillary rise in systems with more than two cylinders. Journal of Colloid and Interface Science, 1969b, 30(3): 359-371.

Princen, H. M. Capillary phenomena in assemblies of parallel cylinders: III. Liquid columns between horizontal parallel cylinders. Journal of Colloid and Interface Science, 1970, 34(2): 171-184.

Purcell, W. R. Capillary pressures-their measurement using mercury and the calculation of permeability therefrom. Journal of Petroleum, 1949, 1(2): 39-48.

Skauge, A., Ottesen, B., Vik, B. Variation of special core analysis properties for intermediate wet sandstone material. Paper Presented at the 2003 International Symposium of the Society of Core Analysts (SCA), Pau, France, 22-25 September, 2003.

Skauge, A., Spildo, K., Hφiland, L., et al. Theoretical and experimental evidence of different wettability classes. Journal of Petroleum Science and Engineering, 2007, 57(3-4): 321-333.

Skjaeveland, S. M., Siqveland, L. M., Kjosavik, A., et al. Capillary pressure correlation for mixed-wet reservoirs. SPE Reservoir Evaluation and Engineering, 2000, 3(1): 60-67.

Ustohal, P., Stauffer, F., Dracos, T. Measurement and modeling of hydraulic characteristics of unsaturated porous media with mixed-wettability. Journal of Contaminant Hydrology, 1998, 33(1-2): 5-37.

Valvatne, P. H., Blunt, M. J. Predictive pore-scale modeling of two-phase flow in mixed wet media. Water Resources Research, 2004, 40(7): W07406.

Wu, S., Yu, C., Hu, X., et al. Characterization of mineral and pore evolution under CO2-brine-rock interaction at in- situ conditions. Adcances in Geo-Energy Research, 2022, 6(2): 177-178.

Zhao, J., Kang, Q., Yao, J., et al. The effect of wettability heterogeneity on relative permeability of two-phase flow in porous media: A lattice boltzmann study. Water Resources Research, 2018, 54(2): 1295-1311.

Zheng, J., Liu, H., Liu, N., et al. A new pore-scale capillary pressure model for fractional wettability media using cylindrical mixed-wet tubes. International Journal of Multiphase Flow, 2021, 140: 103624.


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