Abstract
Numerical simulation of surfactant flooding using conventional reservoir simulation models can lead to unreliable forecasts and bad decisions due to the appearance of numerical effects. The simulations give approximate solutions to systems of nonlinear partial differential equations describing the physical behavior of surfactant flooding by combining multiphase flow in porous media with surfactant transport. The approximations are made by discretization of time and space which can lead to spurious pulses or deviations in the model outcome. In this work, the black oil model was simulated using the decoupled implicit method for various conditions of reservoir scale models to investigate behavior in comparison with the analytical solution obtained from fractional flow theory. We investigated changes to cell size and time step as well as the properties of the surfactant and how it affects miscibility and flow. The main aim of this study was to understand pulse like behavior in the water bank, which we report for the first time, Our aim was to identify their cause and associated conditions. The pulses are induced by a sharp change in relative permeability as the interfacial tension changes. Pulses are diminished when adsorption is modeled, and ranged from 0.0002 kg/kg to 0.0005 kg/kg. The pulses are absent for high-resolution model of 5000 cells in x direction with a typical cell size as used in well-scale models. The growth or dampening of these pulses may vary from case to case but in this instance was a result of the combined impact of relative mobility, numerical dispersion, interfacial tension and miscibility. Oil recovery under the numerical problems reduced the performance of the flood, due to large amounts of pulses produced. Thus, it is important to improve existing models and use appropriate guidelines to stop oscillations and remove errors.
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Sun, Q., Li, Z., Li, S., Jiang, L., Wang, J., Wang, P.: Utilization of surfactant-stabilized foam for enhanced oil recovery by adding nanoparticles. Energy Fuel. 28(4), 2384–2394 (2014)
Abhishek, R., Kumar, G.S., Sapru, R.K.: Wettability alteration in carbonate reservoirs using Nanofluids. Pet. Sci. Technol. 33(7), 794–801 (2015)
Druetta, P., Yue, J., Tesi, P., de Persis, C., Picchioni, F.: Numerical modeling of a compositional flow for chemical EOR and its stability analysis. Appl. Math. Model. 47, 141–159 (2017)
Schlumberger, ECLIPSE 100, in Technical Description, R. Manual, Editor. Schlumberger Reservoir Technologies (2019)
Welge, H.J.: A Simplified Method for Computing Oil Recovery by Gas or Water Drive. J. Pet. Technol. 4(04), 91–98 (1952)
Pope, G.A., Nelson, R.C.: A chemical flooding compositional simulator. Soc. Pet. Eng. J. 18(05), 339–354 (1978)
Paula, A.S., Denis, A.F., Alvaro, L.G.A.: Finite Element Simulation of Viscous Fingering in Miscible Displacements at High Mobility-Ratios. J. Braz. Soc. Mech. Sci. Eng. 32, 292–299 (2010)
Sadegh, K., Morteza, S., Amir, H.M.: Numerical Approach for Enhanced Oil Recovery with Surfactant Flooding. Petroleum. 2, 98–107 (2016)
AlSofi, A.M., Blunt, M.J.A.: Segregated flow scheme to control numerical dispersion for multi-component flow simulations. Comput. Geosci. 16, 335–350 (2020)
Connolly, M., Johns, R.T.: Scale-dependent mixing for adverse mobility ratio flows in heterogeneous porous media. Transp. Porous Media. 113, 29–50 (2016). https://doi.org/10.1007/s11242-016-0678-y
Mohammad, L., Abdoljalil, V., Mojdeh, D., Rouhi, F., Gary, A.P.: Development of a hybrid black-oil/surfactant enhanced oil recovery reservoir simulator. J. Pet. Sci. Eng. 133, 130–146 (2015)
Al-Ibadi, H.H., Stephen, K.D., and Mackay, E.J.: Improved Numerical Stability and Upscaling of Low Salinity Water Flooding. Presented at the SPE Asia Pacific Oil and Gas Conference and Exhibition, Brisbane, Australia, 23–25 October. 2018. SPE paper 192074-MS (2018)
Al-Ibadi, H.H., Stephen, K.D., and Mackay, E.J.: Pulse generation and propagation in the numerical solution of low salinity water flooding, 2021. J. Pet. Sci. Eng., In Press, (2021)
Al-Ibadi, H.H., Stephen, K.D., and Mackay, E.J.: An analysis of numerically induced pulses in simulations of low salinity water flooding and their reduction by flow upscaling, 2021. Soc. Pet. Eng. J., In Press, (2021)
Adibhatla, B., Mohanty, K.K.J.: Parametric analysis of surfactant-aided imbibition in fractured carbonates. J. Colloid Interface Sci. 317, 513–522 (2008)
Hirasaki, G., Miller, C.A., Puerto, M.: Recent advances in surfactant EOR. SPE J. 16(04), 889–907 (2011)
Pratt, J.D. and T.F. West, Editors' preface, in surface active chemicals, H.E. Garrett, editor. 1972, Pergamon. p. ix-x, 1972
Farrell, H.H., Gregory M.D., and Borah M.T.: Progress Report: Big Muddy Field Low-Tension Flood Demonstration Project With Emphasis on Injectivity and Mobility, in SPE Enhanced Oil Recovery Symposium. Society of Petroleum Engineers: Tulsa, Oklahoma. p. 7 (1984)
Reppert, T.R., et al., Second Ripley Surfactant Flood Pilot Test, in SPE/DOE Enhanced Oil Recovery Symposium. Society of Petroleum Engineers: Tulsa, Oklahoma. p. 12 (1990)
Maerker, J.M. and Gale W.W.: Surfactant flood process design for Loudon. SPE (Society of Petroleum Engineers) Reservoir Engineering; (United States), p. Medium: X; Size: Pages: 36–44 (1992)
Green, D.W., Willhite, G.P.: Enhanced oil recovery. Henry L. Doherty Memorial Fund of AIME, Society of Petroleum Engineers, Richardson, TX (1998)
Iglauer, S., Wu, Y., Shuler, P., Tang, Y., Goddard III, W.A.: New surfactant classes for enhanced oil recovery and their tertiary oil recovery potential. J. Pet. Sci. Eng. 71(1), 23–29 (2010)
Sheng, J.J.: Status of surfactant EOR technology. Petroleum. 1(2), 97–105 (2015)
Xu, F., et al.: Case Study: Numerical Simulation Of Surfactant Flooding In Low Permeability Oil Filed, in SPE Enhanced Oil Recovery Conference. Society of Petroleum Engineers: Kuala Lumpur, Malaysia. p. 11 (2011)
Healy, R.N., Reed, R.L., Stenmark, D.G.: Multiphase microemulsion systems. Soc. Pet. Eng. J. 16(03), 147–160 (1976)
Healy, R.N., Reed, R.L.: Physicochemical Aspects of Microemulsion Flooding, in Fall Meeting of the Society of Petroleum Engineers of AIME, p. 20. Society of Petroleum Engineers, Las Vegas, Nevada (1973)
Nelson, R.C. and G.A. Pope: Phase relationships in chemical flooding. Journal Name: Soc. Pet. Eng. AIME, Pap.; (United States); Journal Volume: SPE-6773; Conference: 52. annual meeting of the Society of Petroleum Engineers, Denver, CO, USA, 9 Oct 1977. 1977: ; Shell Development Co. Medium: X; Size: Pages: 12
Pope, G.A.: The application of fractional flow theory to enhanced oil recovery. Soc. Pet. Eng. J. 20(3, Jun. 1980), 191–205 (2017)
Buckley, S.E., Leverett, M.C.: Mechanism of fluid displacement in sands. Transac AIME. 146(01), 107–116 (1942)
Fanchi, J.R.: Multidimensional Numerical Dispersion. Soc. Pet. Eng. J. 23(01), 143–151 (1983)
Lake, L.W.: Enhanced oil recovery, p. 550. Prentice Hall Inc. Medium: X; Size, Old Tappan, NJ (1989)
Al-Ibadi, H., Stephen, K.D., Mackay, E.: Insights into the fractional flow of low salinity water flooding in the light of solute dispersion and effective salinity interactions. J. Pet. Sci. Eng. 174, 1236–1248 (2019)
Lantz, R.B.: Rigorous calculation of miscible displacement using immiscible reservoir simulators. Soc. Pet. Eng. J. 10(02), 192–202 (1970)
Sorbie, K., Mackay, E.: Mixing of injected, connate and aquifer brines in waterflooding and its relevance to oilfield scaling. J. Pet. Sci. Eng. 27, 85–106 (2000)
Akin, S., Kovscek, A.: Computed tomography in petroleum engineering research. Geol. Soc. Lond., Spec. Publ. 215, 23–38 (2003)
Abbas, A.H., Sulaiman, W.R.W., Jaafar, M.Z., Gbadamosi, A.O., Ebrahimi, S.S., Elrufai, A.: Numerical study for continuous surfactant flooding considering adsorption in heterogeneous reservoir. J. King Saud Univ.- Engin. Sci. 32(1), 91–99 (2020)
Acknowledgments
The financial support from Nigerian Petroleum Technology Development Fund is greatly appreciated. We would like to thank Schlumberger for the application of Eclipse 100 simulator. We also thank Hasan Al-Ibadi for his contributions to discussions on pulses as seen previously in low salinity waterflooding.
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Akinyele, O., Stephen, K.D. Numerical effects on the simulation of surfactant flooding for enhanced oil recovery. Comput Geosci 26, 865–881 (2022). https://doi.org/10.1007/s10596-022-10156-4
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DOI: https://doi.org/10.1007/s10596-022-10156-4