A Comprehensive Evaluation of Dimension-Reduction Approaches in Optimization of Well Rates
- Abeeb A. Awotunde (King Fahd University of Petroleum & Minerals)
- Document ID
- Society of Petroleum Engineers
- SPE Journal
- Publication Date
- June 2019
- Document Type
- Journal Paper
- 912 - 950
- 2019.Society of Petroleum Engineers
- well rate optimization, dimension reduction, field development optimization
- 8 in the last 30 days
- 206 since 2007
- Show more detail
- View rights & permissions
|SPE Member Price:||USD 5.00|
|SPE Non-Member Price:||USD 35.00|
This paper evaluates the effectiveness of six dimension-reduction approaches. The approaches considered are the constant-control (Const) approach, the piecewise-constant (PWC) approach, the trigonometric approach, the Bessel-function (Bess) approach, the polynomial approach, and the data-decomposition approach. The approaches differ in their mode of operation, but they all reduce the number of parameters required in well-control optimization problems. Results show that the PWC approach performs better than other approaches on many problems, but yields widely fluctuating well controls over the field-development time frame. The trigonometric approach performed well on all the problems and yields controls that vary smoothly over time.
|File Size||2 MB||Number of Pages||39|
Ahmed, A. H., Awotunde, A. A., Siddig, O. M. et al. 2014. A Pareto-Based Well Placement Optimization. Proc., 76th EAGE Conference and Exhibition 2014, Amsterdam, 16 June. https://doi.org/10.3997/2214-4609.20140947.
Artus, V., Durlofsky, L. J., Onwunalu, J. et al. 2006. Optimization of Nonconventional Wells Under Uncertainty Using Statistical Proxies. Computat Geosci 10 (4): 389–404. https://doi.org/10.1007/s10596-006-9031-9.
Asadollahi, M. and Naevdal, G. 2009. Waterflooding Optimization Using Gradient Based Methods. Presented at the SPE/EAGE Reservoir Characterization and Simulation Conference, Abu Dhabi, 19–21 October. SPE-125331-MS. https://doi.org/10.2118/125331-MS.
Asadollahi, M., Naevdal, G., and Shafieirad, A. 2012. Efficient Workflow for Optimizing Well Controls. J. Pet. Sci. Eng. 82–83: 66–74. https://doi.org/10.1016/j.petrol.2011.12.023.
Awotunde, A. A. 2014. On the Joint Optimization of Well Placement and Control. Presented at the SPE Saudi Arabia Section Technical Symposium and Exhibition, Al-Khobar, Saudi Arabia, 21–24 April. SPE-172206-MS. https://doi.org/10.2118/172206-MS.
Awotunde, A. A. 2016. Generalized Field-Development Optimization With Well-Control Zonation. Computat Geosci 20 (1): 213–230. https://doi.org/10.1007/s10596-016-9559-2.
Awotunde, A. A. and Naranjo, C. 2014. Well Placement Optimization Constrained to Minimum Well Spacing. Presented at the SPE Latin American and Caribbean Petroleum Engineering Conference, Maracaibo, Venezuela, 21–23 May. SPE-169272-MS. https://doi.org/10.2118/169272-MS.
Awotunde, A. A. and Sibaweihi, N. 2014. Consideration of Voidage-Replacement Ratio in Well-Placement Optimization. SPE Econ & Mgmt 6 (1): 40–54. SPE-163354-PA. https://doi.org/10.2118/163354-PA.
Badru, O. 2003. Well-Placement Optimization Using the Quality Map Approach. Master’s thesis, Stanford University, Stanford, California (June 2003).
Badru, O. and Kabir, C. S. 2003. Well Placement Optimization in Field Development. Presented at the SPE Annual Technical Conference and Exhibition, Denver, 5–8 October. SPE-84191-MS. https://doi.org/10.2118/84191-MS.
Bangerth, W., Klie, H., Wheeler, M. F. et al. 2006. On Optimization Algorithms for the Reservoir Oil Well Placement Problem. Computat Geosci 10 (3): 303–319. https://doi.org/10.1007/s10596-006-9025-7.
Bellout, M. C., Ciaurri, D. E., Durlofsky, L. J. et al. 2012. Joint Optimization of Oil Well Placement and Controls. Computat Geosci 16 (4): 1061–1079. https://doi.org/10.1007/s10596-012-9303-5.
Biegler, L. T. 1984. Solution of Dynamic Optimization Problems by Successive Quadratic Programming and Orthogonal Collocation. Comput Chem Eng 8 (3–4): 243–247. https://doi.org/10.1016/0098-1354(84)87012-X.
Borenstein, Y. and Moraglo, A. ed. 2013. Theory and Principled Methods for the Design of Metaheuristics. Berlin: Springer.
Bouzarkouna, Z., Ding, D. Y., and Auger, A. 2012a. Well Placement Optimization With the Covariance Matrix Adaptation Evolution Strategy and Meta-Models. Computat Geosci 16 (1): 75–92. https://doi.org/10.1007/s10596-011-9254-2.
Bouzarkouna, Z., Ding, D. Y., and Auger, A. 2012b. Well Placement Optimization Under Uncertainty With CMA-ES Using the Neighborhood. Presented at the 13th European Conference on the Mathematics of Oil Recovery, Biarritz, France, 10–13 September. arXiv:1209.0616.
Boyd, J. P. 2001. Chebyshev and Fourier Spectral Methods. Mineola, New York: Dover Publications.
Brower, D. R. and Jansen, J. D. 2004. Dynamic Optimization of Waterflooding With Smart Wells Using Optimal Control Theory. SPE J. 9 (4): 391–402. SPE-78278-PA. https://doi.org/10.2118/78278-PA.
Chebyshev, P. L. 1854. Théorie des Mécanismes Connus Sous le Nom de Parallélogrammes. Mém Acad Sci Pétersb 7: 539–586.
Ciaurri, D. E., Isebor, O. J., and Durlofsky, L. J. 2011. Application of Derivative-Free Methodologies to Generally Constrained Oil Production Optimisation Problems. IJMMNO 2 (2): 134–161. https://doi.org/10.1504/IJMMNO.2011.039425.
da Cruz, P. S., Horne, R. N., and Deutsch, C. V. 1999. The Quality Map: A Tool for Reservoir Uncertainty Quantification and Decision Making. Presented at the SPE Annual Technical Conference and Exhibition, Houston, 3–5 October. SPE-56578-MS. https://doi.org/10.2118/56578-MS.
Dasale, R. P. and Verma, S. 2013. Study and Analysis of PCA, DCT & DWT Based Image Fusion Techniques. Proc., 2013 International Conference on Signal Processing, Image Processing & Pattern Recognition, Coimbatore, India, 7–8 February. https://doi.org/10.1109/ICSIPR.2013.6497960.
Ding, Y. 2008. Optimization of Well Placement Using Evolutionary Methods. Presented at the Europec/EAGE Conference and Exhibition, Rome, 9–12 June. SPE-113525-MS. https://doi.org/10.2118/113525-MS.
Emerick, A. A., Silva, E., Messer, B. et al. 2009. Well Placement Optimization Using a Genetic Algorithm With Nonlinear Constraints. Presented at the SPE Reservoir Simulation Symposium, The Woodlands, Texas, 2–4 February. SPE-118808-MS. https://doi.org/10.2118/118808-MS.
Engelbrecht, A. P. 2005. Fundamentals of Computational Swarm Intelligence. Chichester, UK: John Wiley & Sons.
Forouzanfar, F., Li, G., and Reynolds, A. C. 2010. A Two-Stage Well Placement Optimization Method Based on Adjoint Gradient. Presented at the SPE Annual Technical Conference and Exhibition, Florence, Italy, 19–22 September. SPE-135304-MS. https://doi.org/10.2118/135304-MS.
Forouzanfar, F., Poquioma, W. E., and Reynolds, A. C. 2016. Simultaneous and Sequential Estimation of Optimal Placement and Controls of Wells With a Covariance Matrix Adaptation Algorithm. SPE J. 21 (2): 501–521. SPE-173256-PA. https://doi.org/10.2118/173256-PA.
Forouzanfar, F., Rossa, E. D., Russo, R. et al. 2013. Life-Cycle Production Optimization of an Oil Field With an Adjoint-Based Gradient Approach. J Pet Sci Eng 112 (December): 351–358. https://doi.org/10.1016/j.petrol.2013.11.024.
Guyaguler, B. and Horne, R. N. 2000. Optimization of Well Placement. J. Energy Resour. Technol 122 (2): 64–70. https://doi.org/10.1115/1.483164.
Houska, B. and Chachuat, B. 2014. Branch-and-Lift Algorithm for Deterministic Global Optimization in Nonlinear Optimal Control. J Optim Theory Appl 162 (1): 208–248. https://doi.org/10.1007/s10957-013-0426-1.
Humphries, T. D. and Haynes, R. D. 2015. Joint Optimization of Well Placement and Control for Nonconventional Well Types. J Pet Sci Eng 126 (February): 242–253. https://doi.org/10.1016/j.petrol.2014.12.016.
Isebor, O. J., Ciaurri, D. E., and Durlofsky, L. J. 2014. Generalized Field-Development Optimization With Derivative-Free Procedures. SPE J. 19 (5): 891–908. SPE-163631-PA. https://doi.org/10.2118/163631-PA.
Jansen, J. D. and Durlofsky, L. J. 2017. Use of Reduced-Order Models in Well Control Optimization. Optim Eng 18 (1): 105–132. https://doi.org/10.1007/s11081-016-9313-6.
Jesmani, M., Bellout, M. C., Hanea, R. et al. 2016. Well Placement Optimization Subject to Realistic Field Development Constraints. Computat Geosci 20 (6): 1–25. https://doi.org/10.1007/s10596-016-9584-1.
Katharotiya, A., Patel, S., and Goyani, M. 2011. Comparative Analysis Between DCT & DWT Techniques of Image Compression. JIEA 1 (2): 9–17.
Khan, R. A. and Awotunde, A. A. 2018. Determination of Vertical/Horizontal Well Type From Generalized Field Development Optimization. J Pet Sci Eng 162 (March): 652–665. https://doi.org/10.1016/j.petrol.2017.10.083.
Lee, C.-H. and Zhou, Z.-W. 2012. Comparison of Image Fusion Based on DCT-STD and DWT-STD. Presented at the International MultiConference of Engineers and Computer Scientists, Hong Kong, 14–16 March.
Lien, M. E., Brouwer, D. R., Mannseth, T. et al. 2008. Multiscale Regularization of Flooding Optimization for Smart Field Management. SPE J. 13 (2): 195–204. SPE-99728-PA. https://doi.org/10.2118/99728-PA.
Lyons, J. and Nasrabadi, H. 2013. Well Placement Optimization Under Time-Dependent Uncertainty Using an Ensemble Kalman Filter and a Genetic Algorithm. J Pet Sci Eng 109 (September): 70–79. https://doi.org/10.1016/j.petrol.2013.07.012.
Martini, R. F., Schiozer, D. J., and Nakajima, L. 2005. Use of Quality Maps in Reservoir Management. J Braz Soc Mech Sci & Eng 27 (4): 463–468. https://doi.org/10.1590/S1678-58782005000400016.
Mason, J. C. and Handscomb, D. C. 2002. Chebyshev Polynomials, first edition. London: Chapman and Hall.
Navabi, S., Khaninezhad, R., and Jafarpour, B. 2015. A Generalized Formulation for Oilfield Development Optimization. IFAC-PapersOnLine 48 (6): 56–61. https://doi.org/10.1016/j.ifacol.2015.08.010.
Oliveira, D. F. and Reynolds, A. 2014. An Adaptive Hierarchical Multiscale Algorithm for Estimation of Optimal Well Controls. SPE J. 19 (5): 909–930. SPE-163645-PA. https://doi.org/10.2118/163645-PA.
Onwunalu, J. E. and Durlofsky, L. J. 2010. Application of a Particle Swarm Optimization Algorithm for Determining Optimum Well Location and Type. Computat Geosci 14 (1): 183–198 https://doi.org/10.1007/s10596-009-9142-1.
Onwunalu, J. E. and Durlofsky, L. 2011. A New Well-Pattern-Optimization Procedure for Large-Scale Field Development. SPE J. 16 (3): 594–607. SPE-124364-PA. https://doi.org/10.2118/124364-PA.
Peters, L., Arts, R., Brouwer, G. et al. 2010. Results of the Brugge Benchmark Study for Flooding Optimization and History Matching. SPE Res Eval & Eng 13 (3): 391–401. SPE-119094-PA. https://doi.org/10.2118/119094-PA.
Price, K. and Storn, R. M. 2005. Differential Evolution (DE) for Continuous Function Optimization (an algorithm by Kenneth Price and Rainer Storn), http://www1.icsi.berkeley.edu/~storn/code.html (accessed 5 May 2013).
Price, K., Storn, R. M., and Lampinen, J. A. 2005. Differential Evolution: A Practical Approach to Global Optimization. New York City: Springer-Verlag.
Rahim, S. and Li, Z. 2015. Well Placement Optimization With Geological Uncertainty Reduction. IFAC-PapersOnLine 48 (8): 57–62. https://doi.org/10.1016/j.ifacol.2015.08.157.
Rivlin, T. J. 1974. The Chebyshev Polynomials. New York City: Wiley.
Sarma, P. and Chen, W. H. 2008. Efficient Well Placement Optimization With Gradient-Based Algorithm and Adjoint Models. Presented at the Intelligent Energy Conference and Exhibition, Amsterdam, 25–27 February. SPE-112257-MS. https://doi.org/10.2118/112257-MS.
See, A. B. and Horne, R. 1983. Optimal Reservoir Production Scheduling By Using Reservoir Simulation. SPE J. 23 (5): 717–726. SPE-11133-PA. https://doi.org/10.2118/11133-PA.
Siddiqui, M. A. Q., Khan, R. A., and Jamal, M. S. 2015. Multi-Objective Well Placement Optimization Considering Energy Sustainability Along With Economical Gains. Presented at the SPE North Africa Technical Conference and Exhibition, Cairo, 14–16 September. SPE-175842-MS. https://doi.org/10.2118/175842-MS.
Singh, M. and Garg, M. 2014. Image Compression Techniques Review: DCT, DWT, VQ and Fractal Compression. IJECS 3 (8): 7869–7873.
Sorek, N., Gildin, E., Boukouvala, F. et al. 2017a. Dimensionality Reduction for Production Optimization Using Polynomial Approximations. Computat Geosci 21 (2): 247–266. https://doi.org/10.1007/s10596-016-9610-3.
Sorek, N., Zalavadia, H., and Gildin, E. 2017b. Model Order Reduction and Control Polynomial Approximation for Well-Control Production Optimization. Presented at the SPE Reservoir Simulation Conference, Montgomery, Texas, 20–22 February. SPE-182652-MS. https://doi.org/10.2118/182652-MS.
Storn, R. and Price, K. 1997. Differential Evolution—A Simple and Efficient Heuristic for Global Optimization Over Continuous Spaces. J Glob Optim 11 (4): 341–359. https://doi.org/10.1023/A:1008202821328.
Storn, R. M. and Price, K. 1996. Minimizing the Real Functions of the ICEC’96 Contest by Differential Evolution. Proc., IEEE International Conference on Evolutionary Computation, Nagoya, Japan, 20–22 May. https://doi.org/10.1109/ICEC.1996.542711.
Vlassenbroeck, J. 1988. A Chebyshev Polynomial Method for Optimal Control With State Constraints. Automatica 24 (4): 499–506. https://doi.org/10.1016/0005-1098(88)90094-5.
Wang, C., Li, G., and Reynolds, A. C. 2007. Optimum Well Placement for Production Optimization. Presented at the Eastern Regional Meeting, Lexington, Kentucky, 17–19 October. SPE-111154-MS. https://doi.org/10.2118/111154-MS.
Wang, H., Echeverri´a-Ciaurri, D., Durlofsky, L. et al. 2011. Optimal Well Placement Under Uncertainty Using a Retrospective Optimization Framework. SPE J. 17 (1): 112–121. SPE-141950-PA. https://doi.org/10.2118/141950-PA.
Xiong, Z., Ramchandran, K., Orchard, M. T. et al. 1999. A Comparative Study of DCT- and Wavelet-Based Image Coding. IEEE Trans Circuits Syst Video Technol 9 (5): 692–695. https://doi.org/10.1109/76.780358.
Yeten, B., Durlofsky, L. J., and Aziz, K. 2003. Optimization of Nonconventional Well Type, Location, and Trajectory. SPE J. 8 (3): 200–210. SPE-86880-PA. https://doi.org/10.2118/86880-PA.
Zandvliet, M., Handels, M., van Essen, G. M. et al. 2008. Adjoint-Based Well-Placement Optimization Under Production Constraints. SPE J. 13 (4): 392–399. SPE-105797-PA. https://doi.org/10.2118/105797-PA.
Zandvliet, M. J., Bosgra, O. H., Jansen, J. D. et al. 2007. Bang-Bang Control and Singular Arcs in Reservoir Flooding. J Pet Sci Eng 58 (1): 186–200. https://doi.org/10.1016/j.petrol.2006.12.008.
Zhang, K., Li, G., Reynolds, A. C. et al. 2010. Optimal Well Placement Using an Adjoint Gradient. J Pet Sci Eng 73 (3–4): 220–226. https://doi.org/10.1016/j.petrol.2010.07.002.