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Abstract

Summary

Foam injection is one efficient way to mitigate gravity segregation during CO2 injection into porous media. The effect of gravity segregation on foam propagation in heterogeneous porous media is not yet fully resolved. To assess CO2 foam transport for enhanced oil recovery (EOR) and for CO2 storage processes in heterogeneous reservoirs, an accurate prediction of foam behavior is essential. In this study, we investigate the effect of heterogeneity on gravity segregation in the presence of foam. For nonlinear analysis, we use an extension of an Operator-Based Linearization (OBL) approach proposed recently. The OBL approach helps to reduce the nonlinearity of complex physical problems by transforming the discretized nonlinear conservation equations into a quasi-linear form based on state-dependent physical operators. The state-dependent operators are approximated by discrete representation on a uniform mesh in parameter space. In our study, foam in porous media is described using an implicit-texture (IT) foam model with two flow regimes.

We first validate the numerical accuracy of the foam simulation with OBL by comparing segregation length using the IT foam model with Newtonian rheology to analytical solutions. Next, the foam-model parameters are fit to foam-quality scan data for four sandstone formations ranging in permeability by an order of magnitude using a least-squares optimization approach. We then construct several hypothetical models containing two communicating layers with different permeability and thickness ratios to examine foam's effect on gravity segregation.

The numerical results of the segregation length in homogeneous domains show good agreement with analytical solutions, except in a transition zone beneath the override zone which is not included in the analytical model. Through fractional-flow theory, we find that the transition zone is not a numerical artefact, but caused by low gas relative-mobility during the transient displacement process. Permeability affects both the mobility reduction of wet foam in the low-quality regime and the limiting capillary pressure at which foam collapses. Thus the segregation length varies with permeability and foam strength. In two-layer models, the thickness of the top layer plays an important role in the ultimate segregation length. A thin top layer does not affect segregation in the bottom layer, while a thicker top layer dominates the segregation length, with less influence of the bottom layer.

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/content/papers/10.3997/2214-4609.202133029
2021-04-19
2024-04-24
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References

  1. Cheng, L., Reme, A., Shan, D., Coombe, D. and Rossen, W.
    [2000] Simulating foam processes at high and low foam qualities. In: SPE/DOE improved oil recovery symposium. Society of Petroleum Engineers.
    [Google Scholar]
  2. CMG-STARS
    CMG-STARS [2012] Computer Modeling Group Ltd.Calgary, AB, Canada.
    [Google Scholar]
  3. Dholkawala, Z.F., Sarma, H. and Kam, S.
    [2007] Application of fractional flow theory to foams in porous media. Journal of Petroleum Science and Engineering, 57(1–2), 152–165.
    [Google Scholar]
  4. Jamshidnezhad, M.
    [2009] Gravity segregation in gas improved oil recovery of tilted reservoirs. In: EUROPEC/EAGE Conference and Exhibition. Society of Petroleum Engineers.
    [Google Scholar]
  5. Jamshidnezhad, M. and Ghazvian, T.
    [2011] Analytical modeling for gravity segregation in gas improved oil recovery of tilted reservoirs. Transport in porous media, 86(3), 695–704.
    [Google Scholar]
  6. Jenkins, M.
    [1984] An analytical model for water/gas miscible displacements. In: SPE enhanced oil recovery symposium. Society of Petroleum Engineers.
    [Google Scholar]
  7. Khait, M. and Voskov, D.
    [2018] Adaptive parameterization for solving of thermal/compositional nonlinear flow and transport with buoyancy. SPE Journal, 23, 522–534.
    [Google Scholar]
  8. Khait, M. and Voskov, D.V.
    [2017] Operator-based linearization for general purpose reservoir simulation. Journal of Petroleum Science and Engineering, 157, 990–998.
    [Google Scholar]
  9. Khan, M.Y. and Mandal, A.
    [2020] Analytical model for gravity segregation in WAG displacement recovery of inclined stratified reservoirs. Journal of Petroleum Science and Engineering, 186, 106722.
    [Google Scholar]
  10. Lake, L.W., Johns, R., Rossen, W.R. and Pope, G.A.
    [2014] Fundamentals of enhanced oil recovery.
    [Google Scholar]
  11. Leeftink, T., Latooij, C. and Rossen, W.
    [2015] Injectivity errors in simulation of foam EOR. Journal of Petroleum Science and Engineering, 126, 26–34.
    [Google Scholar]
  12. Lyu, X., Voskov, D. and Rossen, W.
    [2020] Simulation of Foam-Assisted CO2 Storage in Saline Aquifers. In: ECMOR XVII, 2020. European Association of Geoscientists & Engineers, 1–16.
    [Google Scholar]
  13. Moradi-Araghi, A., Johnston, E., Zornes, D. and Harpole, K.
    [1997] Laboratory evaluation of surfactants for CO2-foam applications at the South Cowden unit. In: International Symposium on Oilfield Chemistry. Society of Petroleum Engineers.
    [Google Scholar]
  14. Namani, M., Kleppe, J., Høier, L., Karimaie, H. and Torsæter, O.
    [2012] Analytical model for zones distributions in non-horizontal miscible WAG injection. Energy Environ Res, 2(2), 159–167.
    [Google Scholar]
  15. Redlich, O. and Kwong, J.N.
    [1949] On the thermodynamics of solutions. V. An equation of state. Fugacities of gaseous solutions. Chemical reviews, 44(1), 233–244.
    [Google Scholar]
  16. Rossen, W.
    [2013] Numerical challenges in foam simulation: a review. In: SPE annual technical conference and exhibition. Society of Petroleum Engineers.
    [Google Scholar]
  17. Rossen, W. and Stolwijk, G.
    [2009] Gravity Segregation in Gas IOR in Heterogeneous Reservoirs. In: IOR 2009-15th European Symposium on Improved Oil Recovery. European Association of Geoscientists & Engineers, cp–124.
    [Google Scholar]
  18. Rossen, W. and Van Duijn, C.
    [2004] Gravity segregation in steady-state horizontal flow in homogeneous reservoirs. Journal of Petroleum Science and Engineering, 43(1–2), 99–111.
    [Google Scholar]
  19. Rossen, W.R.
    [1996] Foams in enhanced oil recovery. Foams: Theory, Measurements and Applications, 57, 413–464.
    [Google Scholar]
  20. Rossen, W.R. and Shen, C.
    [2007] Gravity segregation in gas-injection IOR. In: EUROPEC/EAGE conference and exhibition. Society of Petroleum Engineers.
    [Google Scholar]
  21. Rossen, W.R., Van Duijn, C., Nguyen, Q.P., Shen, C. and Vikingstad, A.K.
    [2010] Injection strategies to overcome gravity segregation in simultaneous gas and water injection into homogeneous reservoirs. SPE Journal, 15(01), 76–90.
    [Google Scholar]
  22. Schramm, L.L.
    [1994] Foams: fundamentals and applications in the petroleum industry, 242. American Chemical Society Washington, DC.
    [Google Scholar]
  23. Shi, J. and Rossen, W.
    [1998] Simulation of gravity override in foam processes in porous media. SPE Reservoir Evaluation & Engineering, 1(2), 148–154.
    [Google Scholar]
  24. Stone, H.L.
    [1982] Vertical, conformance in an alternating water-miscible gas flood. In: SPE annual technical conference and exhibition. Society of Petroleum Engineers.
    [Google Scholar]
  25. [2004] A simultaneous water and gas flood design with extraordinary vertical gas sweep. In: SPE international petroleum conference in Mexico. Society of Petroleum Engineers.
    [Google Scholar]
  26. Talebian, S.H., Masoudi, R., Tan, I.M. and Zitha, P.L.
    [2013] Foam assisted CO2-EOR; concepts, challenges and applications. In: SPE Enhanced Oil Recovery Conference. Society of Petroleum Engineers.
    [Google Scholar]
  27. Vitoonkijvanich, S., AlSofi, A.M. and Blunt, M.J.
    [2015] Design of foam-assisted carbon dioxide storage in a North Sea aquifer using streamline-based simulation. International Journal of Greenhouse Gas Control, 33, 113–121.
    [Google Scholar]
  28. Voskov, D.V.
    [2017] Operator-based linearization approach for modeling of multiphase multi-component flow in porous media. Journal of Computational Physics, 337, 275–288.
    [Google Scholar]
  29. Yu, G., Namani, M., Kleppe, J. and Rossen, W.
    [2017] Gravity Override and Vertical Sweep Efficiency in Dipping Reservoirs. In: IOR 2017-19th European Symposium on Improved Oil Recovery, 2017. European Association of Geoscientists & Engineers, 1–10.
    [Google Scholar]
  30. Zhou, Z., Rossen, W. et al.
    [1995] Applying Fractional-Flow Theory to Foam Processes at the “Limiting Capillary Pressure”. SPE Advanced Technology Series, 3(01), 154–162.
    [Google Scholar]
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