An Injection Rate Optimization in a Water Flooding Case Study with an Adaptive Simulated Annealing Techniques

Document Type: Research Paper

Authors

Thermodynamics Research Laboratory, School of Chemical Engineering, Iran University of Science and Technology, Tehran 16846-13114, Iran

Abstract

This paper introduces an effective production optimization and a water injection allocation method for oil reservoirs with water injection. In this method, a two-stage adaptive simulated annealing (ASA) is used. A coarse-grid model is made based on average horizon permeability at the beginning iterations of the optimization to search quickly. In the second stage, the fine-grid model is used to provide the accuracy of the final solution. A constrained optimization problem to maximize an objective function based on net present value is implemented. Allocation factors from the streamline simulation are used to help for the appropriate estimation of initial water injection rates. The proposed optimization scheme is used for a field sector simulation model. The results show that the optimized rates confirm the increment of total oil production. Optimized oil production and total water injection rates lead to an increase in the total oil production from 385.983 (initial guess) to 440.656 Msm3. This means a recovery factor increment by 14.16%, while the initial rates were much higher than the optimized rates. Moreover, the recovery factor of optimized production schedule with an optimized total injection rate is 2.20% higher than the initial production schedule with an optimized total water injection rate. The allocation of the water injection rates and the revision of allocation rates result in 446.383 and 450.164 Msm3. The revision of the water rates allocation provides a reduction of water cut during production.

Keywords


References

Asheim H., “Maximization of Water Sweep Efficiency by Controlling Production and Injection Rates,” European Petroleum Conference, London, United Kingdom, 1988.

Sudaryanto B. and Yortsos Y. C., “Optimization of Fluid front Dynamics in Porous Media Using Rate Control. I. Equal Mobility Fluids,” Physics of Fluids (1994-present), 2000, 12, 1656-1670.

Brouwe D. and Jansen J., “Dynamic Optimization of Water Flooding with Smart Wells Using Optimal Control Theory,” European Petroleum Conference, Aberdeen, United Kingdom, 2002.

Sarma P., Aziz K., and Durlofsky L. J., “Implementation of Adjoint Solution for Optimal Control of Smart Wells,” SPE Reservoir Simulation Symposium, The Woodlands, Texas, 2005.

Van Essen G., Van den Hof P., and Jansen J. D., “Hierarchical Long-term and Short-term Production Optimization,” SPE Journal, 2011, 16, 191-199.

Bailey W. J. and Couet B., “Field Optimization Tool for Maximizing Asset Value,” SPE Reservoir Evaluation & Engineering, 2005, 8, 7-21.

Yasari E., Pishvaie M. R., Khorasheh F., Salahshoor K., and et al., “Application of Multi-criterion Robust Optimization in Water-flooding of Oil Reservoir,” Journal of Petroleum Science and Engineering, 2013, 109, 1-11.

Siraj M. M., Van den HofP. M., and Jansen J. D., “Model and Economic Uncertainties in Balancing Short-Term and Long-Term Objectives in Water-Flooding Optimization,” SPE Reservoir Simulation Symposium, Houston, Texas, 2015.

van Essen G., Zandvliet M., Van den Hof P., Bosgra O., and et al., “Robust Water Flooding Optimization of Multiple Geological Scenarios,” SPE Journal, 2009, 14, 202-210.

Ikewun P. O. and Ahmadi M., “Production Optimization and Forecasting of Shale Gas Wells Using Simulation Models and Decline Curve Analysis,” SPE Western Regional Meeting, Bakersfield, California, USA, 2012.

Salam D. D., Gunardi I., and Yasutra A., “Production Optimization Strategy Using Hybrid Genetic Algorithm,” in Abu Dhabi International Petroleum Exhibition and Conference, Abu Dhabi, 2015.

Yeten B., “Optimum Deployment of Nonconventional Wells,” Stanford University, 2003.

Zangl G., Graf T., and Al-Kinani A., “Proxy Modeling in Production Optimization,” SPE Europec/EAGE Annual Conference and Exhibition, 2006.

Onwunalu J. E., Litvak M. L. , Durlofsky L. J., and Aziz K., “Application of Statistical Proxies to Speed up Field Development Optimization Procedures,” Abu Dhabi International Petroleum Exhibition and Conference, Abu Dhabi, 2008.

Carpenter W. C. and Barthelemy J. F., “A Comparison of Polynomial Approximations and Artificial Neural Nets as Response Surfaces,” Structural Optimization, 1993, 5, 166-174.

Zarei F., Daliri A., and Alizadeh N., “The Use of Neuro-fuzzy Proxy in Well Placement Optimization,” Intelligent Energy Conference and Exhibition, Amsterdam, The Netherlands, 2008.

Guyaguler B. and Horne R. N., “Uncertainty Assessment of Well Placement Optimization,” SPE Annual Technical Conference and Exhibition, New Orleans, Louisiana, 2001.

Schuetter J., Mishra S., Zhong M., and LaFollette R., “Data Analytics for Production Optimization in Unconventional Reservoirs,” Unconventional Resources Technology Conference, San Antonio, Texas, USA, 2015.

Artus V., Durlofsky L. J., Onwunalu J., and Aziz K., “Optimization of Nonconventional Wells under Uncertainty Using Statistical Proxies,” Computational Geosciences, 2006, 10, 389-404.

King M. J., Burn K. S., Wang P., Muralidharan V., et al., “Optimal Coarsening of 3D Reservoir Models for Flow Simulation,” SPE Annual Technical Conference and Exhibition, Dallas, Texas, 2005.

Jessen K. and Evazi Yadecuri M., “Simulation of Water Flooding with Coarse-scale Dual-porosity Representation of Highly Heterogeneous Reservoirs,” SPE Western Regional & AAPG Pacific Section Meeting 2013 Joint Technical Conference, Monterey, California, USA, 2013.

Chen Y., Bernath A., Rai H., and Muron P., “Development and Application of Upscaling Techniques for Modeling Near-well Flow in Heterogeneous Reservoirs,” SPE Annual Technical Conference and Exhibition, Orleans, Louisiana, 2009.

Ekkawong P., Kritsadativud P., Lerlertpakdee P., and Amornprabharwat A., “Innovative and Automated Workflow for Fast Production Optimization and Forecast in Gulf of Thailand Gas Fields Using Linear Programing Optimization,” SPE Digital Energy Conference and Exhibition, The Woodlands, Texas, USA, 2015.

Kritsadativud P., Jafarpour B., and Ekkawong P., “Fast Production Optimization with Decline Curve Analysis Under Facility Constraints: A Field Case Study,” SPE Western Regional Meeting, Garden Grove, California, USA, 2015.

Emerick A. A., Silva E., Messer B., Almeida L. F., et al., “Well Placement Optimization Using a Genetic Algorithm with Nonlinear Constraints,” SPE reservoir simulation symposium, The Woodlands, Texas, 2009.

Kazakov K. V. and Bravichev K. A., “Automated Way to Search for the Optimum Irregular Well Placement Using a Genetic Algorithm (Russian),” SPE Russian Petroleum Technology Conference and Exhibition, Russia, 2016.

Morales A. N. , Nasrabadi H., and Zhu D., “A New Modified Genetic Algorithm for Well Placement Optimization under Geological Uncertainties,” SPE EUROPEC/EAGE Annual Conference and Exhibition, Vienna, Austria, 2011.

Castaño K. P. and Ojeda G., “Optimizing Thin-layer Mapping through Spectral Inversion: Performance of Genetic Algorithms and Simulated Annealing,” 2010 SEG Annual Meeting, Denver, Colorado, 2010.

Khan H., Saputelli L. A., Ranjan P., Carvajal G. A., et al., “Multi-Objectives Constrained Water flood Optimization in Tight Carbonates,” SPE Reservoir Characterization and Simulation Conference and Exhibition, Abu Dhabi, UAE, 2013.

Yang D., Zhang Q., and Gu Y., “Integrated Optimization and Control of the Production-injection Operation Systems for Hydrocarbon Reservoirs,” Journal of petroleum science and Engineering, 2003, 37, 69-81.

Ambia F., “A Robust Optimization Tool Based on Stochastic Optimization Methods for Water Flooding Project,” SPE Annual Technical Conference and Exhibition, San Antonio, Texas, USA, 2012.

Lagos S. R., Sabbione J. I., and Velis D. R., “Very Fast Simulated Annealing and Particle Swarm Optimization for Microseismic Event Location,” 2014 SEG Annual Meeting, Denver, Colorado, USA, 2014.

Thiele M. R. and Batycky R., “Water Injection Optimization Using a Streamline-based Workflow,” SPE Annual Technical Conference and Exhibition, Denver, Colorado, 2003.

Ghori S. G., Jilani S. Z., Alhuthali A., Krinis D., et al., “Improving Injector Efficiencies Using Streamline Simulation: A Case Study in a Giant Middle East Field,” SPE Middle East Oil and Gas Show and Conference, Manama, Bahrain, 2007.

Alhuthali A., Oyerinde A., and Datta-Gupta A., “Optimal Water Flood Management Using Rate Control,” SPE Annual Technical Conference and Exhibition, San Antonio, Texas, USA, 2006.

Alhuthali A. H. H., Datta-Gupta A., Yuen B. B. W., et al, “Optimal Rate Control under Geologic Uncertainty,” SPE Symposium on Improved Oil Recovery, Oklahoma, USA, 2008.

Van Den Hoek P. J., Al-Masfry R. A., Zwarts D., Jansen J. D., et al., “Waterflooding Under Dynamic Induced Fractures: Reservoir Management and Optimization of Fractured Water Floods,” SPE Symposium on Improved Oil Recovery, Tulsa, Oklahoma, USA, 2008.

Van Essen G., Jansen J. D., and Van den Hof P., “Hierarchical Long Term and Short Term Production Optimization,” Society of Petroleum Engineers, New Orleans, Louisiana, 2009.

Kirkpatrick S., “Optimization by Simulated Annealing: Quantitative Studies,” Journal of Statistical Physics, 1984, 34, 975-986.

Ingber L., “Adaptive Simulated Annealing (ASA): Lessons learned,” Control and Cybernetics, 1996, 25, 33-54.