Application of mathematical and machine learning models to predict differential pressure of autonomous downhole inflow control devices

Hossein Yavari, Rasool Khosravanian, David A. Wood, Bernt Sigve Aadnoy

Abstract view|751|times       PDF download|218|times Supplements download|67|times

Abstract


Controlling reservoir fluid flow is important for maximizing petroleum production through wellbores. A major challenge that reduces the production of oil is early breakthrough of secondary fluids to the wellbore perforations. This occurs due to the low viscosity of gas and water relative to oil, and the heterogeneity of reservoir permeability. Autonomous inflow control devices represent a new self-regulating technology that helps to increase petroleum production, particularly oil, by restricting the production of unwanted fluids like gas and water into the wellbores. This study develops smart systems based on machine learning models to predict the performance of autonomous inflow control devices. Several machine learning models are evaluated including adaptive neuro fuzzy inference system, hybrid adaptive neuro-fuzzy inference system genetic algorithm, artificial neural network and support vector machine and their prediction performance is compared to that of linear regression, full quadratic regression model and the mathematical autonomous inflow control device performance model. Each model is developed to estimate the differential pressure of Equiflow autonomous inflow control devices based on ninety experimentally recorded data records. The range of equiflow autonomous inflow control device, viscosity, density and flow rate are the input variables and differential pressure is the output dependent variable of each model. The prediction accuracy of the models is assessed in terms of several standard statistical accuracy performance measures. These performance indicators confirm that the machine-learning models provide superior prediction accuracy for autonomous inflow control device differential pressure. Overall, the support vector machine achieves the most accurate predictions of all the models evaluated recording root mean square error of 0.14 Mpa and coefficient of determination of 0.98. On the other hand, the linear regression model records the lowest prediction performance, highlighting the non-linearity of the autonomous inflow control device processes.

Cited as: Yavari, H., Khosravanian, R., Wood, D.A., Aadnoy, B.S. Application of mathematical and machine learning models to predict differential pressure of autonomous downhole inflow control devices. Advances in Geo-Energy Research, 2021, 5(4): 386-406, doi: 10.46690/ager.2021.04.05


Keywords


Autonomous inflow control, downhole differential pressure, intelligent non-linear models, multiple regression, machine learning, optimum viscosity

Full Text:

PDF Supplements

References


Aakre, H., Halvorsen, B., Werswick, B., et al. Smart well with autonomous inflow control valve technology. Paper SPE 164348 Presented at Middle East Oil and Gas Show and Conference, Manama, Bahrain, 10-13 March, 2013.

Aakre, H., Halvorsen, B., Werswick, B., et al. Autonomous inflow control valve for heavy and extra-heavy oil. Paper SPE 71141 Presented at Heavy and Extra Heavy Oil Conference, Latin America, Medellín, Colombia, 24-26 September, 2014.

Abad, A. R. B., Mousavi, S., Mohamadian, N., et al. Hybrid machine learning algorithms to predict condensate viscosity in the near wellbore regions of gas condensate reservoirs. Journal of Natural Gas Science and Engineering, 2021, 95: 104210.

Aiken, L. S., West, S. G., Pitts, S. C., et al. Multiple linear regression, in Handbook of Psychology, edited by Weiner, J. A. Schinka and W. F. Velicer, Second Edition, John Wiley & Sons, Inc, New York, 2012.

Al Amrani, Y., Lazaar, M., El Kadiri, K. E. Random forest and support vector machine based hybrid approach to sentiment analysis. Procedia Computer Science, 2018, 127: 511-520.

Al-Khelaiwi, F. T., Davies, D. R. Inflow control devices: Application and value quantification of a developing technology. Paper SPE 108700 Presented at International Oil Conference and Exhibition in Mexico, Veracruz, Mexico, 27-30 June, 2007.

Andreas, L., Midttveit, O., Gyllensten, A. J., et al. AICD implementation on oseberg H vestflanken 2. Paper SPE 195617 Presented at SPE One Day Seminar, Bergen, Norway, 14 May, 2019.

Ashrafi, S. B., Anemangely, M., Sabah, M., et al. Application of hybrid artificial neural networks for predicting rate of penetration (ROP): A case study from Marun oil field. Journal of Petroleum Science and Engineering, 2019, 175: 604-623.

Bao, H., Wang, J., Li, J., et al. Effects of corn straw on dissipation of polycyclic aromatic hydrocarbons and potential application of backpropagation artificial neural network prediction model for PAHs bioremediation. Ecotoxicology and Environmental Safety, 2019, 186: 109745.

Barbosa, L. F. F., Nascimento, A., Mathias, M. H., et al. Machine learning methods applied to drilling rate of penetration prediction and optimization-A review. Journal of Petroleum Science and Engineering, 2019, 183: 106332.

Bui, X-N., Muazu, M. A., Nguyen, H. Optimizing Leven-berg–Marquardt backpropagation technique in predicting factor of safety of slopes after two-dimensional OptumG2 analysis. Engineering with Computers, 2019, 36: 941-952.

Burges, C. J. A tutorial on support vector machines for pattern recognition. Data Mining and Knowledge Discovery, 1998, 2(2): 121-167.

Chen, W., Panahi, M., Khosravi, K., et al. Spatial prediction of groundwater potentiality using ANFIS ensembled with teaching-learning-based and biogeography-based optimization. Journal of Hydrology, 2019, 572: 435-448.

Cheng, L., Wang, D., Cao, R., et al. The influence of hydraulic fractures on oil recovery by water flooding processes in tight oil reservoirs: an experimental and numerical approach. Journal of Petroleum Science and Engineering, 2020, 185: 106572.

Chochua, G., Rudic, A., Kumar, A., et al. Cyclone type autonomous inflow control device for water and gas control: Simulation-driven design. Paper SPE 192723 Presented at Abu Dhabi International Petroleum Exhibition & Conference, Abu Dhabi, UAE, 12-15 November, 2018.

Ciulla, G., D’Amico, A. Building energy performance forecasting: A multiple linear regression approach. Applied Energy, 2019, 253: 113500.

Colkesen, I., Sahin, E. K., Kavzoglu, T. Susceptibility mapping of shallow landslides using kernel-based Gaussian process, support vector machines and logistic regression. Journal of African Earth Sciences, 2016, 118: 53-64.

Deshwal, S., Kumar, A., Chhabra, D. Exercising hybrid statistical tools GA-RSM, GA-ANN and GA-ANFIS to optimize FDM process parameters for tensile strength improvement. CIRP Journal of Manufacturing Science and Technology, 2020, 31: 189-199.

Ebrahim, S., Mesbah, M., Hajilari, N., et al. ANFIS modeling for prediction of CO2 solubility in potassium and sodium based amino acid salt solutions. Journal of Environmental Chemical Engineering, 2019, 7(1): 102925.

Ehsanollah, H., Salehi, M., Yadegarfar, G., et al. Optimization of the ANFIS using a genetic algorithm for physical work rate classification. International Journal of Occupational Safety and Ergonomics, 2020, 26(3): 436-443.

Elkatatny S. Real-time prediction of rate of penetration while drilling complex lithologies using artificial intelligence techniques. Ain Shams Engineering Journal, 2021, 12(1): 917-926.

Eltaher, E. M. K. Modelling and applications of autonomous flow control devices. Edinburgh, Heriot-Watt University, 2017.

Eltaher, E. Muradov, K., Davies, D., et al. Autonomous flow control device modelling and completion optimization. Journal of Petroleum Science and Engineering, 2019, 17: 995-1009.

Fripp, M., Zhao, L., Least, B. The theory of a fluidic diode autonomous inflow control device. Paper SPE 167415 Presented at SPE Middle East Intelligent Energy Conference and Exhibition, 28-30 October, 2013.

Gamal, H., Elkatatny, S., Abdulraheem, A. Rock drillability intelligent prediction for a complex lithology using artificial neural network. Paper SPE 202767 Presented at Abu Dhabi International Petroleum Exhibition & Conference, Abu Dhabi, UAE, 9-12 November, 2020.

Gao, C. H., Rajeswaran, R. T., Nakagawa, E. Y. A literature review on smart well technology. Paper SPE 106011 Presented at Production and Operations Symposium, Oklahoma City, Oklahoma, USA, 31 March-3 April, 2007.

Ghorbani, H., Wood, D. A., Choubineh, A., et al. Performance comparison of bubble point pressure from oil PVT data: Several neurocomputing techniques compared. Experimental and Computational Multiphase Flow, 2020, 2: 225-246.

Gimre, J. Efficiency of ICV/ICD systems. Stavanger, University of Stavanger, 2012.

Glandt, C. A. Reservoir management employing smart wells: A review. SPE Drilling & Completion, 2005, 20(4): 281-288.

Goldberg, D. E., Holland, J. H. Genetic algorithms and machine learning. Machine Learning, 1988, 3: 95–99.

Gurses, S., Chochua, G., Rudic, A., et al. Dynamic modeling and design optimization of cyclonic autonomous inflow control devices. Paper SPE 193824 Presented at SPE Reservoir Simulation Conference, Galverston, Texas, USA, 10-11 April, 2019.

Habibi, E., Salehi, M., Yadegarfar, G., et al. Optimization of the ANFIS using a genetic algorithm for physical work rate classification. International Journal of Occupational Safety and Ergonomics, 2020, 26(3): 436-443.

Halvorsen, M., Elseth, G., Nævdal, O. M. Increased oil production at Troll by autonomous inflow control with RCP valves. Paper SPE 159634 Presented at SPE Annual Technical Conference and Exhibition, San Antonio, Texas, USA, 8-10 October, 2012.

Hazbeh, O., Aghdam, S. K. Y., Ghorbani, H., et al. Comparison of accuracy and computational performance between the machine learning algorithms for rate of penetration in directional drilling well, Petroleum Research, 2021, 6(3): 271-282.

Holland, J. H. Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence. Cambridge, Massachusetts, USA, The MIT Press, 1992b. Holland, J. H. Genetic algorithms. Scientific American, 1992a, 267(1): 44-50.

Huang, Y., Zhao, L. Review on landslide susceptibility mapping using support vector machines. Catena, 2018, 165: 520-529.

Iqbal, F., Iskandar, R., Radwan, E., et al. Autonomous inflow control device-a case study of first successful field trial in GCC for water conformance. Paper SPE 177927 Presented at Abu Dhabi International Petroleum Exhibition and Conference, Abu Dhabi, UAE, 9-12 November, 2015.

Javad, G., Narges, T. Application of artificial neural networks to the prediction of tunnel boring machine penetration rate. Mining Science and Technology, 2010, 20(5): 727-733.

Jia, C. Breakthrough and significance of unconventional oil and gas to classical petroleum geology theory. Petroleum Exploration and Development, 2017, 44(1): 1-10.

Jovanov, I. Performance of autonomous inflow control systems. Stavanger, University of Stavanger, 2016.

Jovic, S., Anicic, O., Pejovic, B. Management of the wind speed data using adaptive neuro-fuzzy methodology. Flow Measurement and Instrumentation, 2016, 50: 201-208.

Khademi, F., Akbari, M., Jamal, S. M., et al. Multiple linear regression, artificial neural network, and fuzzy logic prediction of 28 days compressive strength of concrete. Frontiers of Structural and Civil Engineering, 2017 11(1): 90-99.

Kumar, R., Hynes, N. R. J. Prediction and optimization of surface roughness in thermal drilling using integrated ANFIS and GA approach. Engineering Science and Technology, 2020, 23(1): 30-41.

Kumar, V., Kumar, A., Chhabra, D., et al. Improved biobleaching of mixed hardwood pulp and process optimization using novel GA-ANN and GA-ANFIS hybrid statistical tools. Bioresource technology, 2019, 271: 274-282.

Lauritzen, J. E., Martiniussen, I. B. Single and multi-phase flow loop testing results for industry standard inflow control devices. Paper SPE 146347 Presented at SPE Offshore Europe Oil and Gas Conference and Exhibition, Aberdeen, UK, 6-8 September, 2011.

Least, B., Greci, S., Burkey, R. C., et al. Autonomous ICD single phase testing. Paper SPE 160165 Presented st SPE Annual Technical Conference and Exhibition, San Antonio, Texas, USA, 8-10 October, 2012.

Lei, Q., Jackson, M. D., Muggeridge, A. H., et al. Modelling the reservoir-to-tubing pressure drop imposed by multiple autonomous inflow control devices installed in a single completion joint in a horizontal well. Journal of Petroleum Science and Engineering, 2020, 189: 106991.

Mardanirad, S., Wood, D. A., Zakeri, H. The application of deep learning algorithms to classify subsurface drilling lost circulation severity in large oil field datasets. SN Applied Sciences, 2021, 3: 785.

Mathiesen, V., Werswick, B., Aakre, H., et al. The Autonomous RCP valve -new technology for inflow control in horizontal wells autonomous valve. Paper SPE 145737 Presented at SPE Offshore Europe Oil and Gas Conference and Exhibition, Aberdeen, UK, September 6-8, 2011.

Mathur, N., Glesk, I., Buis, A. Comparison of adaptive neuro-fuzzy inference system (ANFIS) and Gaussian processes for machine learning (GPML) algorithms for the prediction of skin temperature in lower limb prostheses. Medical Engineering & Physics, 2016, 38(10): 1083-1089.

Mehrotra, K., Mohan, C. K., Ranka, S. Elements of Artificial Neural Networks, Cambridge, Massachusetts, USA, The MIT Press, 1997.

Mehrad, M., Bajolvand, M., Ramezanzadeh, A., et al. Developing a new rigorous drilling rate prediction model using a machine learning technique. Journal of Petroleum Science and Engineering, 2020, 192: 107338.

Mikkelsen, J. K., Norheim, T., Sagatun, S. The Troll story. Paper SPE 171108 Presented at the Offshore Technology Conference, Houston, Texas, 2-5 May, 2005.

Mitchell, M. An Introduction to Genetic Algorithms. Cambridge, Massachusetts, USA, The MIT Press, 1996.

Moazzeni, A. R., Khamehchi, E. Rain optimization algorithm (ROA): A new metaheuristic method for drilling optimization solutions. Journal of Petroleum Science and Engineering, 2020, 195: 107512.

Mohamadian, N., Ghorbani, H., Wood, D. A., et al. A geomechanical approach to casing collapse prediction in oil and gas wells aided by machine learning. Journal of Petroleum Science and Engineering, 2021, 196: 107811.

Moraveji, M. K., Naderi, M. Drilling rate of penetration prediction and optimization using response surface methodology and bat algorithm. Journal of Natural Gas Science and Engineering, 2016, 31: 829-841.

Nathans, L. L., Oswald, F. L., Nimon, K. Interpreting multiple linear regression: A guidebook of variable importance. Practical Assessment, Research, and Evaluation, 2012, 17(9): 1-19.

Ossai, C. I., Duru, U. I. Applications and theoretical perspectives of artificial intelligence in the rate of penetration. Petroleum, 2020, in Press, doi: 10.1016/j.petlm.2020.08.004.

Pedroso, C. A., Latini, C., Araujo, Z., et al. First open-hole gravel pack with aicd in ultra deep water, (2020). Paper SPE 199325 Presented at SPE International Conference and Exhibition on Formation Damage Control, Lafayette, Louisiana, USA, 19-21 February, 2020.

Pham, B. T., Bui, D. T., Prakash, I. Bagging based support vector machines for spatial prediction of landslides. Environmental Earth Sciences, 2018, 77(4): 146.

Porturas, F. Enhanced production with ICD and AICD completions in oil wells: Case studies from Latin America. Paper SPE 181204 Presented at SPE Latin America and Caribbean Heavy and Extra Heavy Oil Conference, Lima, Peru, 19-20 October, 2016.

Rabiei, A., Sayyad, H., Riazi, M., et al. Determination of dew point pressure in gas condensate reservoirs based on a hybrid neural genetic algorithm. Fluid Phase Equilibria, 2015, 387: 38-49.

Rahul, M., Narinder, S., Yaduvir, S. Genetic Algorithms: Concepts, design for optimization of process controller. Computer and Information Science, 2011, 4(2): 39-54.

Rashid, S., Ghamartale, A., Abbasi, J., et al. Prediction of critical multiphase flow through chokes by using A rigorous artificial neural network method. Flow Measurement and Instrumentation, 2019, 69: 101579.

Sabah, M., Talebkeikhah, M., Wood, D. A., et al. A machine learning approach to predict drilling rate using petrophysical and mud logging data. Earth Science Informatics, 2019, 12: 319-339.

Sadrmomtazi, A., Sobhani, J., Mirgozar, M. A. Modeling compressive strength of EPS lightweight concrete using regression, neural network and ANFIS. Construction and Building Materials, 2013, 42: 205-216.

Sekki, T., Airaksinen, M., Saari, A. Impact of building usage and occupancy on energy consumption in Finnish daycare and school buildings. Energy and Buildings, 2015, 105: 247-257.

Shahin, M. A., Jaksa, M. B., Maier, H. R. Artificial neural network applications in geotechnical engineering. Australian Geomechanics, 2020, 36(1): 49-62.

Somehsaraei, H. N., Ḧolle, M., Ḧonen H. A novel approach based on artificial neural network for calibration of multi-hole pressure probes. Flow Measurement and Instrumentation, 2020, 73: 101739.

Soroush, E., Mesbah, M., Hajilary, N., et al. ANFIS modeling for prediction of CO2 solubility in potassium and sodium based amino acid Salt solutions. Journal of Environmental Chemical Engineering, 2019, 7(1): 102925.

Sugeno, M., Kang, G. T. Structure identification of fuzzy model. Fuzzy Sets and Systems, 1988, 28(1): 15-33.

Sun, W., Huang, C. A carbon price prediction model based on secondary decomposition algorithm and optimized back propagation neural network. Journal of Cleaner Production, 2020, 243: 118671.

Tang, J-S. R. ANFIS: adaptive network based fuzzy inference systems. IEEE Transactions on Systems, Man, and Cybernetics, 1993, 23: 515-520.

Vapnik, V. N. The Nature of Statistical Learning Theory. Springer-Verlag, New York, USA, 1995.

Velez-Langs, O. Genetic algorithms in oil industry: An overview. Journal of petroleum Science and Engineering, 2005, 47(1-2): 15-22.

Vickers, N. J. Animal communication: When i’m calling you, will you answer too? Current Biology, 2017, 27(14): R713-R715.

Wood, D. A. A transparent open-box learning network provides insight to complex systems and a performance benchmark for more-opaque machine learning algorithms. Advances in Geo-Energy Research, 2018, 2(2): 148-162.

Yavari, Y., Sabah, M., Khosravanian, R., et al. Application of an adaptive neuro-fuzzy inference system and mathematical rate of penetration models to predicting drilling rate. Iranian Journal of Oil and Gas Science and Technology, 2018, 7(3): 73-100.

Yilmaz, I., Kaynar, O. Multiple regression, ANN (RBF, MLP) and ANFIS models for prediction of swell potential of clayey soils. Expert Systems with Applications, 2011, 38(5): 5958-5966.

Zhang, N., Li, H., Liu, Y., et al. A new autonomous inflow control device designed for a loose sand oil reservoir with bottom water. Journal of Petroleum Science and Engineering, 2019, 178: 334-355.

Zhao, L., Least, B., Greci, S., et al. Fluidic diode autonomous ICD range 2A single-phase testing. Paper SPE 170993 Presented as SPE Oilfield Water Management Conference and Exhibition, Kuwait City, Kuwait, 21-22 April, 2014.

Zhao, X., Zhou, L., Pu, X., et al. Exploration breakthroughs and geological characteristics of continental shale oil: A case study of the Kongdian Formation in the Cangdong Sag, China. Marine and Petroleum Geology, 2019, 102: 544-556.


Refbacks

  • There are currently no refbacks.


Copyright (c) 2021 The Author(s)

Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Copyright ©2018. All Rights Reserved