Abstract
Water injection is one of the most economical and effective methods of ensuring the continuous and stable production of an oil field and improving oil recovery. However, scale formation is unavoidable in long-term water injection, and this seriously affects and restricts oil field development. Our research on scale formation in injection–production units was based on the dissolution–precipitation equilibrium, thermodynamics, ionic association theory, the solubility product rule, and the common ion effect. Considering formation temperature, pressure, scale ion concentration, and rate of flow as influencing factors, we established a formation pressure field model, a temperature field model, a porosity model, a scale formation model, and a scale inhibition model, which together constitute a numerical model of scale formation in an injection–production unit. We then used MATLAB software to analyze the influence of various factors on the total amount of scale, the scale range, and the scale distribution, as well as the influence of scale formation on the apparent injectivity index and permeability. To verify the reliability of our model, we introduced a scale inhibition rate, and we compared the scale inhibition rate that we calculated with the scale inhibition rate measured by experiment. The simulation shows that scale formation is mainly affected by formation temperature and scale ion concentration distribution, but that formation pressure has relatively little influence on it. Formation pressure decreases gradually along the direction of water flooding in an injection–production unit, and formation temperature changes mainly near the wellbore of the injection well. Along the direction of water flooding, scale formation first increases rapidly and then decreases rapidly. The reason for this trend is that with low formation temperature near the injection well, a small dissolution equilibrium constant and a high flow rate make scale formation difficult. Radially outward, the formation temperature increases and the flow rate decreases greatly, making it easier for scale to form. Even further out, the scale ion concentration is lower than the minimum scale concentration and scale can no longer form.
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References
Luo, W.; Li, H.-T.; et al.: A new completion methodology to improve oil recovery for horizontal wells completed in highly heterogeneous reservoirs. Arab. J. Sci. Eng. 39(12), 9227–9237 (2014)
Li, N.; Feng, Y.; et al.: Study of acid–rock reaction kinetics under high temperature and pressure conditions based on the rotating disk instrument. Arab. J. Sci. Eng. 40(1), 135–142 (2015)
Civan, F. Ph.D: Injectivity of the Water-flooding Wells. Reservoir Formation Damage (Third Edition). 2016, 343–377.
Li, Nianyin; He, Dailan; et al.: An alkaline barium-and strontium-sulfate scale dissolver. Chem. Technol. Fuels Oils 52(2), 141–148 (2016)
Peyghambarzadeh, S.M.; Vatani, A.; Jamiala-Hmadi, M.: Application of asymptotic model for the prediction of fouling rate of calcium sulfate under subcooled flow boiling. Appl. Therm. Eng. 39, 105–113 (2012)
Fu, Y.; van Berk, W.; Schulz, H.M.: Temporal and spatial development of scale formation: one-dimensional hydrogeochemical transport modeling. J. Pet. Sci. Eng. 112, 273–283 (2013)
Vetter, O.J. et al.: The prediction of scale problem due to the injection of incompatible waters. JPT, 1982, 273.
Wang, N.; Chen, D.Z.; Zou, L.S.: Influence of non-thermal plasma pre-treatment on the scaling characteristics of viscous oil wastewater during evaporation. Appl. Therm. Eng. 75, 779–788 (2015)
Salmana, M.; Qabazarda, H.; Moshfeghian, M.: Water scaling case studies in a Kuwaiti oil field. J. Pet. Sci. Eng. 55, 48–55 (2007)
Stiff, H.A.; Davis, L.E.: A method of predicting the tendency of oil field water to deposit calcium carbonate. Pet. Trans. AIME 195, 213–220 (1952)
Stiff, H.A.; Davis, L.E.: A method of predicting the tendency of oil field water to deposit calcium sulfate. Pet. Trans. AIME 195, 25–32 (1952)
Ryznar, J.W.: A new index for determining amount of calcium scale formed by a water. Am. Water Works Assoc. 36(4), 472–486 (1944)
Oddo, J.E.; Sloan, K.M.; Tomson, B.M.: Simplified calculation of CaCO3 saturation at high temperature and pressure in brine solution. JPT 34(12), 2409–2412 (1982)
Bin Merdhah, A. (2010, November 1): Inhibition of Calcium Sulfate and Strontium Sulfate Scale in Waterflood. Society of Petroleum Engineers.
Haghtalab, A.; Kamali, M.J.: Prediction mineral scale formation in oil reservoirs during waterinjection. Fluid Phase Equilib. 373, 43–54 (2014)
Thyne, Geoffrey; Brady, Patrick: Evaluation of formation water chemistry and scale prediction: Bakken Shale. Appl. Geochem. 75, 107–113 (2016)
Yang, Xiaoxi; Li, Wei; et al.: Prediction of CaCO3 scaling in water injection wellbore. Appl. Therm. Eng. 98, 532–540 (2016)
Abouie, A.; Korrani, A.K.N.; Shirdel, M.; Sepehrnoori, K.: (2017, August 1). Comprehensive Modeling of Scale Deposition by Use of a Coupled Geochemical and Compositional Wellbore Simulator. Society of Petroleum Engineers.
Zhang, P.; Liu, Y.; Kuok, S.C.; Kan, A.T.; Tomson, M.B.: Development of modeling approaches to describe mineral scale deposition kinetics in porous medium and pipe flow system. J. Pet. Sci. Eng. 178, 594–601 (2019)
Xie, J.; et al.: A calculation method of optimal water injection pressures in natural fractured reservoirs. J. Pet. Sci. Eng. 133, 705–712 (2015)
Adegbite, J.O.; et al.: Geochemical modeling of engineered water injection effect on oil recovery from carbonate cores. J. Pet. Sci. Eng. 170, 696–711 (2018)
Civan, F.: Scale effect on porosity and permeability: kinetics, model, and correlation. AIChE J. 47(2), 271–287 (2001)
Fadairo, A.S. Adesina. Modelling scale saturation around the wellbore for non-Darcy radial flow system. Egyptian Journal of Petroleum. 2017.
Khatami, H.R.; Ranjbar, M.: Development of a fuzzy saturation index for sulfate scale prediction. J. Pet. Sci. Eng. 71, 13–18 (2010)
Kamal, M.S.; et al.: Oilfield scale formation and chemical removal: a review. J. Pet. Sci. Eng. 171, 127–139 (2018)
Hasson, D.; Cornel, A.: Effect of residence time on the degree of CaCO3 precipitation in the presence of an anti-scalant. Desalination 401, 64–67 (2017)
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The work in this paper was supported by Grants from the National Natural Science Foundation of China (No. U1762107 and No. 51574197).
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Nianyin, L., Jia, K., Haotian, Z. et al. Numerical Simulation of Scale Formation for Injection–Production Units in Oil Reservoirs. Arab J Sci Eng 44, 10537–10545 (2019). https://doi.org/10.1007/s13369-019-03975-8
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DOI: https://doi.org/10.1007/s13369-019-03975-8