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Received October 18, 2014
Accepted January 27, 2015
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Using an artificial neural network to predict carbon dioxide compressibility factor at high pressure and temperature
Erfan Mohagheghian
Habiballah Zafarian-Rigaki1
Yaser Motamedi-Ghahfarrokhi1
Abdolhossein Hemmati-Sarapardeh1†
Faculty of Engineering and Applied Science, Memorial University of Newfoundland, St. John’s, NL, Canada, Korea 1Department of Petroleum Engineering, Amirkabir University of Technology, Tehran, Iran
aut.hemmati@gmail.com, aut.hemmati@aut.ac.ir
Korean Journal of Chemical Engineering, October 2015, 32(10), 2087-2096(10), 10.1007/s11814-015-0025-y
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Abstract
Carbon dioxide injection, which is widely used as an enhanced oil recovery (EOR) method, has the potential of being coupled with CO2 sequestration and reducing the emission of greenhouse gas. Hence, knowing the compressibility factor of carbon dioxide is of a vital significance. Compressibility factor (Z-factor) is traditionally measured through time consuming, expensive and cumbersome experiments. Hence, developing a fast, robust and accurate model for its estimation is necessary. In this study, a new reliable model on the basis of feed forward artificial neural networks is presented to predict CO2 compressibility factor. Reduced temperature and pressure were selected as the input parameters of the proposed model. To evaluate and compare the results of the developed model with pre-existing models, both statistical and graphical error analyses were employed. The results indicated that the proposed model is more reliable and accurate compared to pre-existing models in a wide range of temperature (up to 1,273.15 K) and pressure (up to 140MPa). Furthermore, by employing the relevancy factor, the effect of pressure and temprature on the Z-factor of CO2 was compared for below and above the critical pressure of CO2, and the physcially expected trends were observed. Finally, to identify the probable outliers and applicability domain of the proposed ANN model, both numerical and graphical techniques based on Leverage approach were performed. The results illustrated that only 1.75% of the experimental data points were located out of the applicability domain of the proposed model. As a result, the developed model is reliable for the prediction of CO2 compressibility factor.
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References
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Heidaryan E, Moghadasi J, Rahimi M, J. Petroleum Sci. Eng., 73, 67 (2010)
Shokir EME, El-Awad MN, Al-Quraishi AA, Al-Mahdy OA, Chem. Eng. Res. Des., 90(6), 785 (2012)
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Bahadori A, Vuthaluru HB, Mokhatab S, Int. J. Greenhouse Gas Control, 3, 474 (2009)
Danesh A, PVT and phase behaviour of petroleum reservoir fluids, Elsevier (1998).
Redlich O, Kwong J, Chem. Rev., 44, 233 (1949)
Soave G, Chem. Eng. Sci., 27, 1197 (1972)
Peng DY, Robinson DR, Ind. Eng. Chem. Fundam., 15, 59 (1976)
Schmidt G, Wenzel H, Chem. Eng. Sci., 35, 1503 (1980)
Patel NC, Teja AS, Chem. Eng. Sci., 37, 463 (1982)
Lawal A, Van der Laan E, Thambynayagam R, Four-parameter modification of the Lawal-Lake-Silberberg equation of state for calculating gas-condensate phase equilibria, in: SPE Annual Technical Conference and Exhibition, Society of Petroleum Engineers (1985).
O’connell J, Prausnitz J, Ind. Eng. Chem. Process Des. Dev., 6, 245 (1967)
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Tahmasebi P, Hezarkhani A, J. Pet. Sci. Eng., 86, 118 (2012)
Ramgulam A, Utilization of artificial neural networks in the optimization of history matching, in, The Pennsylvania State University (2006).
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Nowroozi S, Ranjbar M, Hashemipour H, Schaffie M, Fuel Process. Technol., 90(3), 452 (2009)
Lashkarbolooki M, Hezave AZ, Ayatollahi S, Fluid Phase Equilib., 324, 102 (2012)
Hagan MT, Demuth HB, Neural networks for control, in: American Control Conference, Proceedings of the 1999, IEEE, 1642 (1999).
Hemmati-Sarapardeh A, Majidi SMJ, Mahmoudi B, Ahmad Ramazani SA, Mohammadi AH, Korean J. Chem. Eng., 31(7), 1253 (2014)
Arabloo M, Amooie MA, Hemmati-Sarapardeh A, Ghazanfari MH, Mohammadi AH, Fluid Phase Equilib., 363, 121 (2014)
Kennedy GC, Am. J. Sci., 252, 225 (1954)
Esfahani S, Baselizadeh S, Hemmati-Sarapardeh A, J. Natural Gas Sci. Eng., 22, 348 (2015)
Hemmati-Sarapardeh A, Alipour-Yeganeh-Marand R, Naseri A, Safiabadi A, Gharagheizi F, Ilani-Kashkouli P, Mohammadi AH, Fluid Phase Equilib., 354, 177 (2013)
Hemmati-Sarapardeh A, Ayatollahi S, Zolghadr A, Ghazanfari MH, Masihi M, J. Chem. Eng. Data, 59(11), 3461 (2014)
Bahadori A, Vuthaluru H, Rapid estimation of carbon dioxide compressibility factor using simple predictive tool, in: SPE Asia Pacific Oil and Gas Conference and Exhibition, Society of Petroleum Engineers (2010).
Ahmed T, Reservoir engineering handbook, Gulf Professional Publishing (2006).
Ahmed TH, Ahmed TH, Ahmed TH, Hydrocarbon phase behavior, Gulf Publishing Company (1989).
Heidaryan E, Moghadasi J, Rahimi M, J. Petroleum Sci. Eng., 73, 67 (2010)
Shokir EME, El-Awad MN, Al-Quraishi AA, Al-Mahdy OA, Chem. Eng. Res. Des., 90(6), 785 (2012)
Mahmoud M, J. Energy Resour. Technol.-Trans. ASME, 136, 012903 (2014)
Bahadori A, Vuthaluru HB, Mokhatab S, Int. J. Greenhouse Gas Control, 3, 474 (2009)
Danesh A, PVT and phase behaviour of petroleum reservoir fluids, Elsevier (1998).
Redlich O, Kwong J, Chem. Rev., 44, 233 (1949)
Soave G, Chem. Eng. Sci., 27, 1197 (1972)
Peng DY, Robinson DR, Ind. Eng. Chem. Fundam., 15, 59 (1976)
Schmidt G, Wenzel H, Chem. Eng. Sci., 35, 1503 (1980)
Patel NC, Teja AS, Chem. Eng. Sci., 37, 463 (1982)
Lawal A, Van der Laan E, Thambynayagam R, Four-parameter modification of the Lawal-Lake-Silberberg equation of state for calculating gas-condensate phase equilibria, in: SPE Annual Technical Conference and Exhibition, Society of Petroleum Engineers (1985).
O’connell J, Prausnitz J, Ind. Eng. Chem. Process Des. Dev., 6, 245 (1967)
Orbey H, Vera J, AIChE J., 29, 107 (1983)
Tahmasebi P, Hezarkhani A, J. Pet. Sci. Eng., 86, 118 (2012)
Ramgulam A, Utilization of artificial neural networks in the optimization of history matching, in, The Pennsylvania State University (2006).
Mohaghegh S, Virtual intelligence and its applications in petroleum engineering, J. of Petroleum Technology, Distinguished Author Series (2000).
Nowroozi S, Ranjbar M, Hashemipour H, Schaffie M, Fuel Process. Technol., 90(3), 452 (2009)
Lashkarbolooki M, Hezave AZ, Ayatollahi S, Fluid Phase Equilib., 324, 102 (2012)
Hagan MT, Demuth HB, Neural networks for control, in: American Control Conference, Proceedings of the 1999, IEEE, 1642 (1999).
Hemmati-Sarapardeh A, Majidi SMJ, Mahmoudi B, Ahmad Ramazani SA, Mohammadi AH, Korean J. Chem. Eng., 31(7), 1253 (2014)
Arabloo M, Amooie MA, Hemmati-Sarapardeh A, Ghazanfari MH, Mohammadi AH, Fluid Phase Equilib., 363, 121 (2014)
Kennedy GC, Am. J. Sci., 252, 225 (1954)
Esfahani S, Baselizadeh S, Hemmati-Sarapardeh A, J. Natural Gas Sci. Eng., 22, 348 (2015)
Hemmati-Sarapardeh A, Alipour-Yeganeh-Marand R, Naseri A, Safiabadi A, Gharagheizi F, Ilani-Kashkouli P, Mohammadi AH, Fluid Phase Equilib., 354, 177 (2013)