Skip to main content
Log in

Waterflooding optimization with the INSIM-FT data-driven model

  • Original paper
  • Published:
Computational Geosciences Aims and scope Submit manuscript

Abstract

In a recent paper, we developed a physics-based data-driven model referred to as INSIM-FT and showed that it can be used for history matching and future reservoir performance predictions even when no prior geological model is available. The model requires no prior knowledge of petrophysical properties. In this work, we explore the possibility of using INSIM-FT in place of a reservoir simulation model when estimating the well controls that optimize water flooding performance where we use the net present value (NPV) of life-cycle production as our cost (objective) function. The well controls are either the flowing bottom-hole pressure (BHP) or total liquid rates at injectors and producers on the time intervals which represent the prescribed control steps. The optimal well controls that maximize NPV are estimated with an ensemble-based optimization algorithm using the history-matched INSIM-FT model as the forward model. We compare the optimal NPV obtained using INSIM-FT as the forward model with the estimate of the optimal NPV obtained using the correct full-scale reservoir simulation model when performing waterflooding optimization.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Albertoni, A., Lake, L.W.: Inferring connectivity only from well-rate fluctuations in water floods. SPE Reserv. Eval. Eng. 6(1), 6–16 (2003)

    Article  Google Scholar 

  2. Brouwer, D., Jansen, J.: Dynamic optimization of water flooding with smart wells using optimal control theory. SPE J. 9, 391–402 (2004)

    Article  Google Scholar 

  3. Cardoso, M.A., Durlofsky, L.J.: Use of reduced-order modeling procedures for production optimization. SPE J. 15(02), 426–435 (2010)

    Article  Google Scholar 

  4. Chen, B., Fonseca, R.-M., Leeuwenburgh, O., Reynolds, A.C.: Minimizing the risk in the robust life-cycle production optimization using stochastic simplex approximate gradient. J. Pet. Sci. Eng. 153, 331–344 (2017)

    Article  Google Scholar 

  5. Chen, B., Reynolds, A.C.: Ensemble-based optimization of the water-alternating-gas-injection process. SPE J. 21(03), 786–798 (2016)

    Article  Google Scholar 

  6. Chen, C.: Adjoint-Gradient-Based Production Optimization with the Augmented Lagrangian Method, Ph.D. Thesis, The University of Tulsa, Tulsa, Oklahoma (2011)

  7. Chen, C., Gao, G., Ramirez, B., Vink, J., Girardi, A.: Assisted history matching of channelized models using pluri-principal component analysis. In: Proceedings of SPE Reservoir Simulation Symposium. Society of Petroleum Engineers, Houston (2015)

  8. Chen, C., Li, G., Reynolds, A.C.: Robust constrained optimization of short and long-term NPV for closed-loop reservoir management. SPE J. 17(3), 849–864 (2012)

    Article  Google Scholar 

  9. Chen, Y., Oliver, D.S., Zhang, D.: Efficient ensemble-based closed-loop production optimization. SPE J. 14(4), 634–645 (2009)

    Article  Google Scholar 

  10. Do, S.T., Reynolds, A.C.: Theoretical connections between optimization algorithms based on an approximate gradient. Comput. Geosci. 17(6), 959–973 (2013)

    Article  Google Scholar 

  11. Emerick, A.A., Reynolds, A.C.: History matching time-lapse seismic data using the ensemble Kalman filter with multiple data assimilations. Comput. Geosci. 16(3), 639–659 (2012)

    Article  Google Scholar 

  12. Emerick, A.A., Reynolds, A.C.: Ensemble smoother with multiple data assimilations. Comput. Geosci. 55, 3–15 (2013)

    Article  Google Scholar 

  13. Emerick, A.A., Reynolds, A.C.: History-matching production and seismic data in a real field case using the ensemble smoother with multiple data assimilation. In: Proceedings of the SPE Reservoir Simulation Symposium, The Woodlands, Texas, USA, 18–20 February, SPE-163645-MS (2013)

  14. Fonseca, R., Leeuwenburgh, O., den Hof, P.V., Jansen, J.D.: Improving the ensemble optimization procedure through covariance matrix adaptation (CMA-EnOpt). In: Proceedings of the SPE Reservoir Simulation Symposium, SPE 163657 (2013)

  15. Gentil, P: The Use of Multilinear Regression Models in Patterned Waterfloods: Physical Meaning of the Regression Coefficients, Master’s thesis, University of Texas at Austin, Austin, Texas (2005)

  16. Gildin, E., Ghasemi, M., Romanovskay, A., Efendiev, Y.: Nonlinear complexity reduction for fast simulation of flow in heterogeneous porous media. In: Proceedings of SPE Reservoir Simulation Symposium, The Woodlands, Texas, USA, 18–20 February, SPE-163618-MS (2013)

  17. Guo, Z., Reynolds, A.C., Zhao, H.: A physics-based data-driven model for history-matching, prediction and characterization of waterflooding performance. In: Proceedings of the SPE Reservoir Simulation Conference, SPE-182660-MS (2017)

  18. He, J., Durlofsky, L.J.: Reduced-order modeling for compositional simulation by use of trajectory piecewise linearization. SPE J. 19(05), 858–872 (2014)

    Article  Google Scholar 

  19. Holden, H., Holden, L., Høegh-krohn, R.: A numerical method for first order nonlinear scalar conservation laws in one-dimension. Computers & Mathematics with Applications 15(6), 595–602 (1988)

    Article  Google Scholar 

  20. Isebor, O.J., Durlofsky, L.J.: Biobjective optimization for general oil field development. J. Pet. Sci. Eng. 119, 123–138 (2014)

    Article  Google Scholar 

  21. Isebor, O.J., Durlofsky, L.J.: A derivative-free methodology with local and global search for the constrained joint optimization of well locations and controls. Comput. Geosci. 18, 463–482 (2014)

    Article  Google Scholar 

  22. Jansen, J., Brouwer, D., Naevdal, G., van Kruijsdijk, C.: Closed-loop reservoir management. First Break 23, 43–48 (2005)

    Article  Google Scholar 

  23. Jansen, J.D., Douma, S.D., Brouwer, D.R., den Hof, P.M.J.V., Heemink, A.W.: Closed-loop reservoir management. In: Proceedings of the SPE Reservoir Simulation Symposium, The Woodlands, Texas, 2–4 February, SPE-119098-MS (2009)

  24. Jansen, J.D., Durlofsky, L.: Use of reduced-order models in well control optimization. Optim. Eng., Online (2016)

  25. Kraaijevanger, J.F.B.M., Egberts, P.J.P., Valstar, J.R., Buurman, H.W.: Optimal waterflood design using the adjoint method. In: Proceedings of the SPE Reservoir Simulation Symposium, SPE-105764-MS (2007)

  26. Lerlertpakdee, P., Jafarpour, B., Gildin, E.: Efficient production optimization with flow-network models. SPE J. 19(6), 1083–1095 (2014)

    Article  Google Scholar 

  27. Liang, X., Weber, D.B., Edgar, T.F., Lake, L.W., Sayarpour, M., Al-Yousef, A.: Optimization of oil production based on a capacitance model of production and injection rates. In: Proceedings of Hydrocarbon Economics and Evaluation Symposium, Dallas, Texas, USA, 1–3 April, SPE-107713-MS (2007)

  28. Lie, K.A., Juanes, R.: A front-tracking method for the simulation of three-phase flow in porous media. Comput. Geosci. 9(1), 29–59 (2005)

    Article  Google Scholar 

  29. Lorentzen, R.J., Berg, A.M., Nævdal, G., Vefring, E.H.: A new approach for dynamic optimization of waterflooding problems. In: Proceedings of the SPE Intelligent Energy Conference and Exhibition, SPE-99690-MS (2006)

  30. Nguyen, A.P.: Capacitance Resistance Modeling for Primary Recovery, Waterflood and Water-CO2 Flood, Ph.D. thesis, University of Texas at Austin, Austin, Texas (2012)

  31. Oliveira, D.F., Reynolds, A.C.: An adaptive hierarchical multiscale algorithm for estimation of optimal well controls. SPE J. 19(05), 909–930 (2014)

    Article  Google Scholar 

  32. Peaceman, D.W.: Interpretation of well-block pressures in numerical reservoir simulation (includes associated paper 6988). Soc. Pet. Eng. J. 18(03), 183–194 (1978)

    Article  Google Scholar 

  33. Peaceman, D.W.: Interpretation of well-block pressures in numerical reservoir simulation with nonsquare grid blocks and anisotropic permeability. Soc. Pet. Eng. J. 23(03), 531– 543 (1983)

    Article  Google Scholar 

  34. Peters, L., Arts, R., Brouwer, G., Geel, C., Cullick, S., Lorentzen, R., Chen, Y., Dunlop, K., Vossepoel, F., Xu, R., Sarma, P., Alhuthali, A., Reynolds, A.: Results of the Brugge benchmark study for flooding optimisation and history matching. SPE Reserv. Eval. Eng. 13(3), 391–405 (2010)

    Article  Google Scholar 

  35. Sarma, P., Aziz, K., Durlofsky, L.: Implementation of adjoint solution for optimal control of smart wells. In: Proceedings of SPE Reservoir Simulation Symposium, Woodland, Texas, USA, 31 January-2 February, SPE-92864-MS (2005)

  36. van Doren, J.F., Markovinović, R., Jansen, J.D.: Reduced-order optimal control of water flooding using proper orthogonal decomposition. Comput. Geosci. 10(1), 137–158 (2006)

    Article  Google Scholar 

  37. van Essen, G., den Hof, P.V., Jansen, J.: Hierarchical Optimization of Oil Production from Petroleum Reservoirs in Workship on Data Assimilation and Reservoir Optimization, 20, January, Technical University of Delft (2009)

  38. van Essen, G., Zandvliet, M., den Hof, P.V., Bosgra, O., Jansen, J.: Robust waterflooding optimization of multiple geological scenarios. In: Proceedings of the SPE Annual Technical Conference and Exhibition, SPE-84571-MS (2006)

  39. van Essen, G.M., den Hof, P.M.J.V., Jansen, J.D.: Hierarchical long-term and short-term production optimization. SPE J. 16(1), 191–199 (2011)

    Article  Google Scholar 

  40. Weber, D.: The Use of Capacitance-Resistance Models to Optimize Injection Allocation and Well Location in Water Floods, Ph.D. thesis, The University of Texas at Austin, Austin, Texas (2009)

  41. Yousef, A.A., Gentil, P.H., Jensen, J.L., Lake, L.W.: A capacitance model to infer interwell connectivity from production and injection rate fluctuations. In: Proceedings of SPE Annual Technical Conference and Exhibition, Dallas, Texas, USA, 9–12 October, SPE-95322-MS (2005)

  42. Yousef, A.A., Gentil, P.H., Jensen, J.L., Lake, L.W.: A capacitance model to infer interwell connectivity from production and injection rate fluctuations. SPE J. 9(06), 630–646 (2006)

    Google Scholar 

  43. Zhao, H., Kang, Z., Zhang, X., Sun, H., Cao, L., Reynolds, A.C.: A physics-based data-driven numerical model for reservoir history matching and prediction with a field application. SPE J. 21(06), 2175–2194 (2016)

    Article  Google Scholar 

  44. Zhao, H., Li, Y., Cui, S., Shang, G., Reynolds, A.C., Guo, Z., Li, H.A.: History matching and production optimization of water flooding based on a data-driven interwell numerical simulation model. J. Nat. Gas Sci. Eng. 31, 48–66 (2016)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zhenyu Guo.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Guo, Z., Reynolds, A.C. & Zhao, H. Waterflooding optimization with the INSIM-FT data-driven model. Comput Geosci 22, 745–761 (2018). https://doi.org/10.1007/s10596-018-9723-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10596-018-9723-y

Keywords

Navigation