Efficient Production Optimization With Flow-Network Models
- Pongsathorn Lerlertpakdee (Texas A&M University) | Behnam Jafarpour (University of Southern California) | Eduardo Gildin (Texas A&M University)
- Document ID
- Society of Petroleum Engineers
- SPE Journal
- Publication Date
- December 2014
- Document Type
- Journal Paper
- 1,083 - 1,095
- 2014.Society of Petroleum Engineers
- 5.4.1 Waterflooding, 5.3.2 Multiphase Flow, 6.1.5 Human Resources, Competence and Training
- flow-network model, model order reduction, surrogate models, production optimization
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- 644 since 2007
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Automating model calibration and production optimization is computationally demanding because of the intensive multiphase-flow-simulation runs that are needed to predict the response of real reservoirs under proposed changes in model inputs. Fast surrogate models have been proposed to speed up reservoir-response predictions without compromising accuracy. Surrogate models either are derived by preserving the physics of the involved processes (e.g., mass balance) to provide reliable long-range predictions or are developed solely on the basis of statistical input/output relations, in which case they can only provide short-range predictions because of the absence of the physical processes that govern the long-term behavior of the reservoir. We present an alternative approach that combines the advantages of both statistics-based and physics-based methods by reducing the flow predictions in complex 3D models into a 1D flow-network model. The existing injection/production wells in the original model form the nodes or vertices of the flow network. Each pair of wells (nodes) in the flow network is connected by use of a 1D numerical simulation model, resulting in a connected network of 1D grid-based simulation models. The coupling between the individual 1D flow models is enforced at the nodes where network edges intersect. The proposed flow-network model provides a useful and fast tool for characterizing interwell connectivity, estimating drainage volume between each pair of wells, and predicting reservoir production over an extended period of time for optimization purposes. The parameters of the flow-network model are estimated by a robust training approach to ensure that the network model reproduces the response of the full model under a wide range of development strategies. This step helps the network model to preserve its predictive power during optimization iterations when alternative development strategies are proposed and evaluated to find the solution. We demonstrate the effectiveness and applicability of the proposed flow-network model by use of two-phase waterflooding experiments.
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Alhuthali, A., Oyerinde, D., and Datta-Gupta, A. 2007. Optimal Waterflood Management Using Rate Control. SPE Res Eval & Eng 10 (5): 539–551. SPE-102478-PA. http://dx.doi.org/10.2118/102478-PA.
Ahmed, S.J., Recham, R., Nozari, A., et al. 2013. Uncertainty Quantification Workflow for Mature Oil Fields: Combining Experimental Design Techniques and Different Response Surface Models. Presented at SPE Middle East Oil and Gas Show and Conference, Manama, Bahrain, 10–13 March. SPE-164142-MS. http://dx.doi.org/10.2118/164142-MS.
Aziz, K. and Settari, A. 1979. Petroleum Reservoir Simulation. London, UK: Applied Science Publishers.
Brouwer, D.R. and Jansen, J.D. 2004. Dynamic Optimization of water flooding with Smart Wells Using Optimal Control Theory. SPE J. 9 (4): 391–402. SPE-78278-PA. http://dx.doi.org/10.2118/78278-PA.
Cardoso, M.A. and Durlofsky, L.J. 2010. Use of Reduced-Order Modeling Procedures for Production Optimization. SPE J. 15 (2): 426–435. SPE-119057-PA. http://dx.doi.org/10.2118/119057-PA.
Eclipse Reservoir Engineering Software. 2012. Schlumberger, http://www.slb.com/content/services/software/reseng/eclipse.aspx.
Ertekin, T., Abou-Kassem, J.H., and King, G.R. 2001. Basic Applied Reservoir Simulation. Richardson, Texas: Textbook Series, SPE.
Gildin, E., Ghasemi, M., Protasov, A., et al. 2013. Nonlinear Complexity Reduction for Fast Simulation of Flow in Heterogeneous Porous Media. Presented at the SPE Reservoir Simulation Symposium, The Woodlands, Texas, 18–20 February. SPE-163618-MS. http://dx.doi.org/10.2118/163618-MS.
Griva, I., Nash, S.G., and Sofer, A. 2009. Linear and Nonlinear Optimization, second edition. Philadelphia, Pennsylvania: Society for Industrial and Applied Mathematics.
Jansen, J.-D., Bosgra, O.H., and Van den Hof, P.M.J. 2008. Model-Based Control of Multiphase Flow in Subsurface Oil Reservoirs. J. Process Contr. 18 (9): 846–855. http://dx.doi.org/10.1016/j.jprocont.2008.06.011.
Jansen, J.-D., Brouwer, R., and Douma, S.G. 2009. Closed Loop Reservoir Management. Presented at the SPE Reservoir Simulation Symposium, The Woodlands, Texas, 2–4 February. SPE-119098-MS. http://dx.doi.org/10.2118/119098-MS.
Markovinvic, R., Geurtsen, E.L, and Jansen, J.D. 2002. Subspace Identification of Low-Order Reservoir Models. In Developments in Water Science, Vol. 47, ed. S.M. Hassanizadeh, R.J. Schotting, W.G. Gray and G.F. Pinder, 281–288. Elsevier: Amsterdam, The Netherlands.
Mohaghegh, S.D., Liu, J.S., Gaskari, R., et al. 2012. Application of Well-Base Surrogate Reservoir Models (SRMs) to Two Offshore Fields in Saudi Arabia, Case Study. Presented at SPE Western Regional Meeting, Bakersfield, California, 21–23 March. SPE 153845-MS. http://dx.doi.org/10.2118/153845-MS.
Matlab, version R2012b. 2012. Natick, Massachusetts: The Mathworks, Inc.
Nocedal, J. and Wright, S.J. 2006. Numerical Optimization (Springer Series in Operations Research and Financial Engineering), second edition. New York City, New York: Springer.
Rowan, G. and Clegg, M.W. 1963. The Cybernetic Approach To Reservoir Engineering. Presented at Fall Meeting of the Society of Petroleum Engineers of AIME, New Orleans, Louisiana, 6–9 October. SPE-727-MS. http://dx.doi.org/10.2118/727-MS.
Sarma, P., Durlofsky, L.J., Aziz, K., et al. 2006. Efficient Real-Time Reservoir Management Using Adjoint-Based Optimal Control and Model Updating. Computat. Geosci. 10 (1): 3–36. http://dx.doi.org/10.1007/s10596-005-9009-z.
Sayarpour, M. 2008. Development and Application of Capacitance-Resistive Models to Water/CO2 Floods. PhD thesis, The University of Texas at Austin, Austin, Texas (2008).
van Doren, J., Markovinvic, R., and Jansen, J.-D. 2006. Reduced-Order Optimal Control of Water Flooding Using Proper Orthogonal Decomposition. Computat. Geosci. 10 (1): 137–158. http://dx.doi.org/10.1007/s10596-005-9014-2.
van Essen, G., Zandvliet, M., Van den Hof, P., et al. 2006. Robust Waterflooding Optimization of Multiple Geological Scenarios. Presented at SPE Annual Technical Conference and Exhibition, San Antonio, Texas, 24–27 September. SPE-102913-MS. http://dx.doi.org/10.2118/102913-MS.
van Essen, G., Zandvliet, M., Van den Hof, P., et al. 2009. Robust Waterflooding Optimization of Multiple Geological Scenarios. SPE J. 14 (1) 202–210. SPE-102913-PA. http://dx.doi.org/10.2118/102913-PA.
Weber, D.B. 2009. The Use of Capacitance-Resistance Models to Optimize Injection Allocation and Well Location in Water Floods. PhD thesis, The University of Texas at Austin, Austin, Texas (2009).
Zubarev, D. 2009. Pros and Cons of Applying Proxy-Models as a Substitute for Full Reservoir Simulations. Presented at the SPE Annual Technical Conference and Exhibition, New Orleans, Louisiana, 4–7 October. SPE-124815-MS. http://dx.doi.org/10.2118/124815-MS.