Multiphase Measurement, Soft Sensors, Digital Twins: A Systematic Literature Review
DOI:
https://doi.org/10.5753/jbcs.2026.6087Keywords:
Digital twin, Machine Learning, Multiphase flow measurement, Data-driven models, soft computing techniques, Soft sensorsAbstract
Accurate multiphase flow measurement (MPFM) is essential in the oil and gas industry to optimize production, manage reservoirs, and ensure operational safety. Conventional MPFMs, such as Venturi, Coriolis, and positive displacement meters, remain costly and often unreliable under complex flow conditions, limiting their widespread application. In recent years, artificial intelligence (AI), soft sensors, and digital twins have emerged as promising alternatives to improve accuracy, reduce costs, and enable real-time monitoring. This paper presents a systematic review of multiphase measurement technologies, soft sensors, and digital twin applications in hydrocarbon production. Following a structured protocol, we analyze 150 publications from the past decade, addressing three research questions: (i) the current state, challenges, and limitations of MPFM technologies; (ii) the role of soft sensors and data-driven modeling, including statistical methods, machine learning algorithms, and hybrid physics-guided approaches; and (iii) methodological and industrial applications of digital twins in oil and gas operations. The review shows that while traditional MPFMs have reached technological maturity, their costs and operational constraints remain significant barriers. Soft sensors and AI-based methods offer high predictive capacity, although the challenges of interpretability and data quality persist. Digital twins demonstrate potential for integration of realtime monitoring and predictive analytics, but require clearer frameworks distinguishing theoretical models from industrial practice. In general, the findings highlight opportunities to advance multiphase measurement through the integration of AI, soft computing, and digital twin paradigms, and outline directions for future research in this field.
Downloads
References
Adhi, Tri Partono Saputro, U. E. (2018). Data reconciliation and gross error detection for troubleshooting of ammonia reactor. MATEC Web of Conferences, 156:1-6. DOI: 10.1051/matecconf/201815603029.
Aguilar, L. J. (2019). Inteligencia de negocios y analítica de datos. In Una visión global de Business Intelligence y Analytics, page 484. Alfaomega, 1 edition.
AL-Qutami, T. A. H., Ibrahim, R., Ismail, I., and Ishak, M. (2017). Development of soft sensor to estimate multiphase flow rates using neural networks and early stopping. International Journal on Smart Sensing and Intelligent Systems, 10:199-222. DOI: 10.21307/ijssis-2017-209.
Albion, K. J., Briens, L., Briens, C., and Berruti, F. (2011). Multiphase flow measurement techniques for slurry transport. International Journal of Chemical Reactor Engineering, 9. DOI: 10.2202/1542-6580.1726.
Ali, A.A., A.-M. G. A.-S. A. (2025). Review of multiphase flow models in the petroleum engineering: Classifications, simulator types, and applications. Arabian Journal for Science and Engineering, 50:4413–4456. DOI: https://doi.org/10.1007/s13369-024-09302-0.
Alimonti, C., Falcone, G., and Bello, O. (2010). Two-phase flow characteristics in multiple orifice valves. Experimental Thermal and Fluid Science, 34(8):1324-1333. DOI: 10.1016/j.expthermflusci.2010.06.004.
Anklin, M., Drahm, W., and Rieder, A. (2006). Coriolis mass flowmeters: Overview of the current state of the art and latest research. Flow Measurement and Instrumentation, 17(6):317-323. DOI: https://doi.org/10.1016/j.flowmeasinst.2006.07.004.
Atkinson, D. I., Bérard, M., and Ségéral, G. (2000). Qualification of a nonintrusive multiphase flow meter in viscous flows. In SPE Annual Technical Conference and Exhibition. Society of Petroleum Engineers. DOI: 10.2118/63118-MS.
Attaran, M. and Celik, B. G. (2023). Digital twin: Benefits, use cases, challenges, and opportunities. Decision Analytics Journal, 6. DOI: 10.1016/j.dajour.2023.100165.
Bahaloo, S., Mehrizadeh, M., and Najafi-Marghmaleki, A. (2023). Review of application of artificial intelligence techniques in petroleum operations. Petroleum Research, 8(2):167-182. DOI: 10.1016/j.ptlrs.2022.07.002.
Bahrami, B., Mohsenpour, S., Shamshiri Noghabi, H. R., Hemmati, N., and Tabzar, A. (2019). Estimation of flow rates of individual phases in an oil-gas-water multiphase flow system using neural network approach and pressure signal analysis. Flow Measurement and Instrumentation, 66:28-36. DOI: 10.1016/j.flowmeasinst.2019.01.018.
Baker, O. (1953). Design of pipelines for the simultaneous flow of oil and gas. In Fall Meeting of the Petroleum Branch of AIME, SPE Annual Technical Conference and Exhibition. Society of Petroleum Engineers. DOI: 10.2118/323-G.
Baker, R. C. (2000). Flow Measurement Handbook: Industrial Designs, Operating Principles, Performance and Applications, volume 40. Cryogenics (Guildford).
Balaji, K., Rabiei, M., Suicmez, V., Canbaz, H., Agharzeyva, Z., Tek, S., et al. (2018). Status of data-driven methods and their applications in oil and gas industry. In SPE Europec featured at 80th EAGE Conference and Exhibition. Society of Petroleum Engineers. DOI: 10.2118/190812-MS.
Barbariol, T. (2023). Improving Anomaly Detection for Industrial Applications. PhD thesis, Università degli studi di Padova.
Barbariol, T., Feltresi, E., Susto, G. A., Tescaro, D., and Galvanin, S. (2020). Sensor fusion and machine learning techniques to improve water cut measurements accuracy in multiphase application. In SPE Annual Technical Conference and Exhibition, Virtual. DOI: 10.2118/201295-MS.
Basse, N. T. (2014). A review of the theory of coriolis flow meter measurement errors due to entrained particles. Flow Measurement and Instrumentation, 37:107-118. DOI: https://doi.org/10.1016/j.flowmeasinst.2014.03.009.
Bertola, V. (2004). The structure of gas–liquid flow in a horizontal pipe with abrupt area contraction. Experimental Thermal and Fluid Science, 28(6):505-512. DOI: 10.1016/j.expthermflusci.2003.07.002.
Bhatt, A. (2002). Reservoir Properties from Well Logs Using Neural Networks. PhD thesis, Norwegian University of Science and Technology. Doctoral thesis.
Bhosale, H., Pandya, M. A., Chatterjee, Indranath, Mukunth, A., Sureshkumar, B., Rajagopalan, R. S., and et al. (2023). Development of gradient boosting machines for estimation of total and dynamic liquid holdup in trickle bed reactor. ACS Publications. Collection. DOI: 10.1021/acs.iecr.3c00231.
Bikmukhametov, T. and Jäschke, J. (2020). First principles and machine learning virtual flow metering: A literature review. Journal of Petroleum Science and Engineering, 184. DOI: 10.1016/j.petrol.2019.106487.
Brauner, N. and Ullmann, A. (2023). Modelling of flow pattern transitions in small diameter horizontal and inclined tubes. Experimental Thermal and Fluid Science, 148. DOI: 10.1016/j.expthermflusci.2023.110965.
Breiman, L. (2001). Random forests. Machine Learning, 45(1):5-32. DOI: https://doi.org/10.1023/A:1010933404324.
Busaidi, K. and Bhaskaran, H. (2003). Multiphase Flow Meters: Experience and Assesssment in PDO. Proc - SPE Annual Technical Conference and Exhibition.
Cao, C., Jia, P., Cheng, L., Jin, Q., and Qi, S. (2022). A review on application of data-driven models in hydrocarbon production forecast. Journal of Petroleum Science and Engineering, 212. DOI: 10.1016/j.petrol.2022.110296.
Chang, Y.-C., Chen, Y.-J., Chen, P.-Y., Chen, Y.-C., Maqbool, F., Ho, T.-Y., and Chen, C.-Y. (2023). Machine learning for two-phase flow separation in a liquid-liquid interface manipulation separator. ACS Applied Materials & Interfaces, 15(9):12473-12484. DOI: 10.1021/acsami.2c17291.
Chunguo, J. and Qiuguo, B. (2009). Flow regime identification of gas/liquid two-phase flow in vertical pipe using rbf neural networks. In 2009 Chinese Control and Decision Conference, pages 5143-5147. IEEE. DOI: 10.1109/CCDC.2009.5194992.
Cote, B. J. E. (2017). Metodología para el diseño y la implementación de sensores inferenciales basados en datos de proceso, desarrollados con redes neuronales artificiales, sistemas neuro-difusos y máquinas de vectores de soporte. Master's thesis, Universidad Nacional de Colombia.
Da Silva, M. J., Schleicher, E., and Hampel, U. (2007). Capacitance wire-mesh sensor for fast measurement of phase fraction distributions. Measurement Science and Technology, 18(7). DOI: 10.1088/0957-0233/18/7/059.
Daniel Industries (2023). Megra multiphase flow meter.
dos Santos, C. N. M., Becker, S. L., and de Godoy, V. B. e. a. (2023). Patterns of horizontal gas-liquid pipe flows: effect of inlet/outlet configuration. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 45(542):1-18. DOI: 10.1007/s40430-023-04438-w.
Edwards, G. (2019). Permanent well monitoring as a replacement for test separation. Presented at the Oil & Gas Focus Group Meeting.
Eissa, M. and Al-Safran, J. P. B. (2017). Applied Multiphase Flow in Pipes and Flow Assurance. Society of Petroleum Engineers, first edition edition.
Emerson Micro Motion (2019). Micro Motion Advanced Phase Measurement, Application Manual, rev ac edition. Technical manual.
Eugene, T. (2019). Fluid flow meter with viscosity correction.
Fadaei, M., Ameli, F., and Hashemabadi, S. H. (2021). Investigation on different scenarios of two-phase flow measurement using orifice and coriolis flow meters: Experimental and modeling approaches. Measurement: Journal of the International Measurement Confederation, 175.
Falcone, G., Hewitt, G. F., and Alimonti, C. (2009). Multiphase Flow Metering: Principles and Applications, volume 54. Elsevier.
Falcone, G., Hewitt, G. F., Alimonti, C., and Harrison, B. (2002). Multiphase flow metering: Current trends and future developments. Journal of Petroleum Technology, 54:77-84. DOI: 10.2118/74689-JPT.
Fan, S. and Yan, T. (2014). Two-phase air–water slug flow measurement in horizontal pipe using conductance probes and neural network. Instrumentation and Measurement, IEEE Transactions on, 63:456-466. DOI: 10.1109/TIM.2013.2280485.
Figueiredo, M., Goncalves, J., Nakashima, A., Fileti, A., and Carvalho, R. (2016). The use of an ultrasonic technique and neural networks for identification of the flow pattern and measurement of the gas volume fraction in multiphase flows. Experimental Thermal and Fluid Science, 70:29-50. DOI: 10.1016/j.expthermflusci.2015.08.010.
Fu, Y., Zhu, G., Zhu, M., and Xuan, F. (2022). Digital twin for integration of design-manufacturing-maintenance: An overview. Chinese Journal of Mechanical Engineering (English Edition), 35(1). DOI: 10.1186/s10033-022-00760-x.
Fuller, A., Fan, Z., Day, C., and Barlow, C. (2020). Digital twin: Enabling technologies, challenges and open research. IEEE Access, 8:108952-108971. DOI: 10.1109/ACCESS.2020.2998358.
Ganat, T. (2024). Experimental investigation of viscous oil-water-sand flow in horizontal pipes: Flow patterns and pressure gradient. Petroleum, 10(2):275-293. DOI: 10.1016/j.petlm.2023.09.005.
Ganat, T., Hrairi, M., Gholami, R., Abouargub, T., and Motaei, E. (2023). Experimental investigation of oil-water two-phase flow in horizontal, inclined, and vertical large-diameter pipes: Determination of flow patterns, holdup, and pressure drop. 5(1):60-68.
Goodfellow, I., Bengio, Y., and Courville, A. (2016). Deep Learning. MIT Press.
Green, D. W. (2019). Perry’s Chemical Engineers’ Handbook. McGraw-Hill Education, 9 edition.
Green, T., Reese, M., and Henry, M. (2008). Two-phase co2 measurement and control in the yates oil field. Measurement and Control, 41:205-207. DOI: 10.1177/002029400804100702.
Grieves, M. (2015). Digital twin: Manufacturing excellence through virtual factory replication.
Hanus, R., Zych, M., Kusy, M., Jaszczur, M., and Petryka, L. (2018). Identification of liquid-gas flow regime in a pipeline using gamma-ray absorption technique and computational intelligence methods. Flow Measurement and Instrumentation, 60:17-23. DOI: 10.1016/j.flowmeasinst.2018.02.008.
Hemp, J. and Kutin, J. (2006). Theory of errors in coriolis flow meter readings due to compressibility of the fluid being metered. Flow Measurement and Instrumentation, 17(6):359-369. DOI: 10.1016/j.flowmeasinst.2006.07.006.
Henry, M., Tombs, M., Duta, M., Zhou, F., Mercado, R., Kenyery, F., Shen, J., Morles, M., Garcia, C., and Langansan, R. (2006). Two-phase flow metering of heavy oil using a coriolis mass flow meter: A case study. Flow Measurement and Instrumentation, 17(6):399-413.
Henry, M., Tombs, M., Duta, M., Zhou, F., and Zamora, M. (2011). New applications for coriolis meter-based multiphase flow metering in the oil and gas industries. In 10th International Symposium on Measurement Technology and Intelligent Instruments.
Hewitt, G. F. and Roberts, D. N. (1969). Studies of two-phase flow patterns by simultaneous x-ray and flash photography.
Hollingshead, C., Johnson, M., Barfuss, S., and Spall, R. (2011). Discharge coefficient performance of venturi, standard concentric orifice plate, v-cone and wedge flow meters at low reynolds numbers. Journal of Petroleum Science and Engineering, 78(3):559-566. DOI: 10.1016/j.petrol.2011.08.008.
Hucko, S., Krampe, H., and Schmitz, K. (2023). Evaluation of a soft sensor concept for indirect flow rate estimation in solenoid-operated spool valves. Actuators, 12(4). DOI: 10.3390/act12040148.
Hurtado, L. L. (2006). Modelamiento teórico y modelamiento empírico de procesos, una síntesis. Sci Tech, (31):103-108.
Jackson, J. (2005). A User's Guide to Principal Components. Wiley.
Jiang, Y., Yin, S., Ding, J., and Kaynak, O. (2021). A review on soft sensors for monitoring, control, and optimization of industrial processes. IEEE Sensors Journal, 21(11):12868-12881. DOI: 10.1109/JSEN.2020.3033153.
Joe Qin, S. (2003). Statistical process monitoring: basics and beyond. Journal of Chemometrics, 17(8-9):480-502. DOI: https://doi.org/10.1002/cem.800.
Jones, D., Snider, C., Nassehi, A., Yon, J., and Hicks, B. (2020). Characterising the digital twin: A systematic literature review. CIRP Journal of Manufacturing Science and Technology, 29:36-52. DOI: https://doi.org/10.1016/j.cirpj.2020.02.002.
Jones, O. C. and Zuber, N. (1975). The interrelation between void fraction fluctuations and flow patterns in two-phase flow. International Journal of Multiphase Flow, 2(3):273-306. DOI: 10.1016/0301-9322(75)90015-4.
Kadlec, P., Gabrys, B., and Strandt, S. (2009). Data-driven soft sensors in the process industry. Computers & Chemical Engineering, 33(4):795-814. DOI: 10.1016/j.compchemeng.2008.12.012.
Kadlec, P., Grbić, R., and Gabrys, B. (2011). Review of adaptation mechanisms for data-driven soft sensors. Computers & Chemical Engineering, 35(1):1-24. DOI: 10.1016/j.compchemeng.2010.07.034.
Kareem, H. J., Abdulwahid, M. A., and Hasini, H. (2023). Experimental investigation of holdup fraction using the trapezoidal rule, simpson’s rule and the average offset formula in perforated horizontal wellbore. Results in Engineering, 18. DOI: 10.1016/j.rineng.2023.101131.
Kim, J.-H., Jung, U.-H., Kim, S., Yoon, J.-Y., and Choi, Y.-S. (2015). Uncertainty analysis of flow rate measurement for multiphase flow using cfd. Acta Mechanica Sinica, 31(5):698-707. DOI: 10.1007/s10409-015-0493-7.
Kourti, T. and MacGregor, J. F. (1995). Process analysis, monitoring and diagnosis, using multivariate projection methods. Chemometrics and Intelligent Laboratory Systems, 28(1):3-21. DOI: https://doi.org/10.1016/0169-7439(95)80036-9.
Kritzinger, W., Karner, M., Traar, G., Henjes, J., and Sihn, W. (2018). Digital twin in manufacturing: A categorical literature review and classification. IFAC-PapersOnLine, 51(11):1016-1022. DOI: 10.1016/j.ifacol.2018.08.474.
Kumara, W. A. S., Halvorsen, B. M., and Melaaen, M. C. (2010). Particle image velocimetry for characterizing the flow structure of oil-water flow in horizontal and slightly inclined pipes. Chemical Engineering Science, 65(15):4332-4349. DOI: 10.1016/j.ces.2010.03.045.
LeCun, Y., Bengio, Y., and Hinton, G. (2015). Deep learning. Nature, 521:436-444.
Li, S. and Bai, B. (2023). Gas-liquid two-phase flow rates measurement using physics-guided deep learning. International Journal of Multiphase Flow, 162. DOI: https://doi.org/10.1016/j.ijmultiphaseflow.2023.104421.
Liang, F., Hang, Y., Yu, H., and Gao, J. (2021). Identification of gas-liquid two-phase flow patterns in a horizontal pipe based on ultrasonic echoes and rbf neural network. Flow Measurement and Instrumentation, 79:11. DOI: 10.1016/j.flowmeasinst.2021.101960.
Liu, M., Fang, S., Dong, H., and Xu, C. (2021). Review of digital twin about concepts, technologies, and industrial applications. Journal of Manufacturing Systems, 58:346-361. DOI: 10.1016/j.jmsy.2020.06.017.
Liu, R., Fuent, M., Henry, M., and Duta, M. (2001). A neural network to correct mass flow errors caused by two-phase flow in a digital coriolis mass flowmeter. Flow Measurement and Instrumentation, 12(1):53-63. DOI: 10.1016/S0955-5986(00)00045-5.
Liu, Y. and Xie, M. (2020). Rebooting data-driven soft-sensors in process industries: A review of kernel methods. Journal of Process Control, 89:58-73. DOI: 10.1016/j.jprocont.2020.03.012.
Lu, Y., Liu, C., Wang, K. I. K., Huang, H., and Xu, X. (2020). Digital twin-driven smart manufacturing: Connotation, reference model, applications and research issues. Robotics and Computer-Integrated Manufacturing, 61. DOI: 10.1016/j.rcim.2019.101837.
Ma, H., Han, G., Zhu, Z., Wang, B., Xiang, X., and Liang, X. (2024). Hybrid virtual flow metering on arbitrary well patterns for transient multiphase prediction driven by mechanistic and data model. Geoenergy Science and Engineering, 243:213335. DOI: https://doi.org/10.1016/j.geoen.2024.213335.
Mahalingam, S. and Arsalan, M. (2020). Using digital twin of coriolis meters for multiphase flow measurement. In Proceedings of the Annual Offshore Technology Conference. DOI: 10.4043/30587-MS.
Manami, M., Seddighi, S., and Örlü, R. (2023). Deep learning models for improved accuracy of a multiphase flowmeter. Measurement, 206. DOI: https://doi.org/10.1016/j.measurement.2022.112254.
Mattar, W. M., Henry, M. P., and Duta, M. D. (2006). Multiphase coriolis flowmeter.
Meng, Z., Huang, Z., Wang, B., Ji, H., Li, H., and Yan, Y. (2010). Air–water two-phase flow measurement using a venturi meter and an electrical resistance tomography sensor. Flow Measurement and Instrumentation, 21(3):268-276. DOI: 10.1016/j.flowmeasinst.2010.02.006.
Meribout, M., Al-Rawahi, N., Al-Naamany, A., Al-Bimani, A., Al-Busaidi, K., and Meribout, A. (2009). A non-radioactive flow meter using a new hierarchical neural network. In Proceedings of the 14th International Conference on Multiphase Production Technology, volume 14, pages 65-78.
Meribout, M., Azzi, A., Ghendour, N., Kharoua, N., Khezzar, L., and AlHosani, E. (2020a). Multiphase flow meters targeting oil & gas industries. Measurement: Journal of the International Measurement Confederation, 165. DOI: 10.1016/j.measurement.2020.108111.
Meribout, M., Shehzad, F., Kharoua, N., and Khezzar, L. (2020b). Gas-liquid two-phase flow measurement by combining a coriolis flowmeter with a flow conditioner and analytical models. Measurement: Journal of the International Measurement Confederation, 163. DOI: 10.1016/j.measurement.2020.107826.
Miller, R. W. (1996). Flow Measurement Engineering Handbook. McGraw-Hill.
Mohammadi, A. and Sheikholeslam, F. (2023). Intelligent optimization: Literature review and state-of-the-art algorithms (1965-2022). Engineering Applications of Artificial Intelligence, 126. DOI: 10.1016/j.engappai.2023.106959.
Mole, N., Bobovnik, G., Kutin, J., Štok, B., and Bajsić, I. (2008). An improved three-dimensional coupled fluid–structure model for coriolis flowmeters. Journal of Fluids and Structures, 24(4):559-575. DOI: 10.1016/j.jfluidstructs.2007.10.004.
Montáns, F. J., Chinesta, F., Gómez-Bombarelli, R., and Kutz, J. N. (2019). Data-driven modeling and learning in science and engineering. Comptes Rendus Mécanique, 347(11):845-855. DOI: 10.1016/j.crme.2019.11.009.
Mu, J., McArdle, S., Ouyang, J., and Wu, H. (2023). Single well virtual metering research and application based on hybrid modeling of machine learning and mechanism model. Journal of Pipeline Science and Engineering, 3(3). DOI: https://doi.org/10.1016/j.jpse.2023.100111.
Murugesan, L. K., Hoda, R., and Salcic, Z. (2015). Design criteria for visualization of energy consumption: A systematic literature review. Sustainable Cities and Society, 18:1-12. DOI: 10.1016/j.scs.2015.04.009.
Nalulu, E. E. (2021). Venturi meter performance when installed on the branch of a tee junction with converging run flow. All Graduate Theses and Dissertations.8150, page 68.
O'Banion, T. (2013). Coriolis: The direct approach to mass flow measurement. Chemical Engineering Progress, 109:41-46.
Oliveira, J. L. G., Passos, J. C., Verschaeren, R., and van der Geld, C. (2009). Mass flow rate measurements in gas-liquid flows by means of a venturi or orifice plate coupled to a void fraction sensor. Experimental Thermal and Fluid Science, 33(2):253-260. DOI: 10.1016/j.expthermflusci.2008.08.008.
Porter, K., Pereyra, E., Mesa, J., and Sarica, C. (2023). Experimental investigation of induced vibrations in horizontal gas-liquid flow. Experimental Thermal and Fluid Science, 149. DOI: 10.1016/j.expthermflusci.2023.111015.
Rasheed, A., San, O., and Kvamsdal, T. (2020). Digital twin: Values, challenges and enablers from a modeling perspective. IEEE Access, 8:21980-22012. DOI: 10.1109/ACCESS.2020.2970143.
Reader-Harris, M. J. (2015). Orifice Plates and Venturi Tubes. Springer.
Roul, M. K. and Dash, S. K. (2012). Single-phase and two-phase flow through thin and thick orifices in horizontal pipes. Journal of Fluids Engineering, 134. DOI: 10.1115/1.4007267.
Santos, D. S., Faia, P. M., Garcia, F. A. P., and Rasteiro, M. G. (2019). Oil/water stratified flow in a horizontal pipe: Simulated and experimental studies using eit. Journal of Petroleum Science and Engineering, 174:1179-1193. DOI: 10.1016/j.petrol.2018.12.002.
Shaban, H. and Tavoularis, S. (2014). Measurement of gas and liquid flow rates in two-phase pipe flows by the application of machine learning techniques to differential pressure signals. International Journal of Multiphase Flow, 67:106-117. DOI: 10.1016/j.ijmultiphaseflow.2014.08.012.
Shen, F., Ren, S. S., Zhang, X. Y., Luo, H. W., and Feng, C. M. (2021). A digital twin-based approach for optimization and prediction of oil and gas production. Mathematical Problems in Engineering. DOI: 10.1155/2021/5551743.
Sheppard, C. and Russell, D. (1993). The application of artificial neural networks to non-intrusive multi-phase metering. Control Engineering Practice, 1(2):299-304. DOI: 10.1016/0967-0661(93)91620-C.
Sircar, A., Yadav, K., Rayavarapu, K., Bist, N., and Oza, H. (2021). Application of machine learning and artificial intelligence in oil and gas industry. Petroleum Research, 6(4):379-391. DOI: https://doi.org/10.1016/j.ptlrs.2021.05.009.
Smith, J. E. and Cage, D. R. (1985). Parallel path coriolis mass flow rate meter.
Solomatine, D., See, L., and Abrahart, R. (2009). Data-driven modelling: Concepts, approaches and experiences. In Practical Hydroinformatics, pages 17-30. Springer. DOI: 10.1007/978-3-540-79881-1_2.
Song, Y., Huang, W., Guo, H., Ren, D., and He, J. (2024). Effect of flow patterns and velocity field on oil-water two-phase flow rate in horizontal wells. Geophysics, 89(1):D61-D74. DOI: 10.1190/geo2023-0061.1.
Sun, B. (2016). Multiphase Flow in Oil and Gas Well Drilling. Singapore : Wiley ; Beijing : Higher Education Press.
Sun, F., Yao, Y., Li, X., Zhao, L., Ding, G., and Zhang, X. (2017). The mass and heat transfer characteristics of superheated steam coupled with non-condensing gases in perforated horizontal wellbores. Journal of Petroleum Science and Engineering, 156:460-467. DOI: 10.1016/j.petrol.2017.06.028.
Sun, J. and Yan, Y. (2016). Non-intrusive measurement and hydrodynamics characterization of gas–solid fluidized beds: a review. 27(11). DOI: 10.1088/0957-0233/27/11/112001.
Sun, Q. and Ge, Z. (2021). Deep learning for industrial kpi prediction: When ensemble learning meets semi-supervised data. IEEE Transactions on Industrial Informatics, 17(1):260-269. DOI: 10.1109/TII.2020.2969709.
Suryana, A. S. and Yudono, M. A. S. (2023). Ultrasonic sensor for measurement of water flow rate in horizontal pipes using segment area. Fidel Jurnal Teknik Elektro, 5(1):60-68.
Tao, F., Zhang, H., Liu, A., and Nee, A. (2019). Digital twin in industry: State-of-the-art. IEEE Transactions on Industrial Informatics, 15(4):2405-2415. DOI: 10.1109/TII.2018.2873186.
Thorn, R., Johansen, G. A., and Hammer, E. A. (1997). Recent developments in three-phase flow measurement. Measurement Science and Technology, 8(7):691-701. DOI: 10.1088/0957-0233/8/7/001.
Thorn, R., Johansen, G. A., and Hjertaker, B. T. (2013). Three-phase flow measurement in the petroleum industry. Measurement Science and Technology, 24(1). DOI: 10.1088/0957-0233/24/1/012003.
Toledo, S., Caballero, D., Maqueda, E., Cáceres, J. J., Rivera, M., Gregor, R., et al. (2022). Predictive control applied to matrix converters: A systematic literature review. Energies, 15(20):1-31. DOI: 10.3390/en15207801.
Vapnik, V. (1998). Statistical Learning Theory. Wiley.
Wallis, G. (2020). One-Dimensional Two-Phase Flow. Dover Books on Engineering. Dover Publications.
Wang, T. and Baker, R. (2014). Coriolis flowmeters: a review of developments over the past 20 years, and an assessment of the state of the art and likely future directions. Flow Measurement and Instrumentation, 40:99-123. DOI: 10.1016/j.flowmeasinst.2014.08.015.
Wang, X., Hu, H., and Zhang, A. (2014). Concentration measurement of three-phase flow based on multi-sensor data fusion using adaptive fuzzy inference system. Flow Measurement and Instrumentation, 39:1-8. DOI: 10.1016/j.flowmeasinst.2014.04.003.
Wee, A. and Gundersen, K. B. (2017). Method and apparatus for accurately measuring individual components of a multiphase fluid using separately measured reynolds number and emulsion type of liquid phase.
Werneck, R., Prates, R., Moura, R., Gonçalves, M., Castro, M., Soriano Vargas, A., Júnior, P., Hossain, M. M., Zampieri, M., Ferreira, A., Davolio, A., Schiozer, D., and Rocha, A. (2021). Data-driven deep-learning forecasting for oil production and pressure. Journal of Petroleum Science and Engineering, 210. DOI: 10.1016/j.petrol.2021.109937.
Whalley, P. B. (1996). Boiling, Condensation, and Gas-Liquid Flow. Oxford University Press.
Wise, B. M. and Gallagher, N. B. (1996). The process chemometrics approach to process monitoring and fault detection. Journal of Process Control, 6(6):329-348. DOI: https://doi.org/10.1016/0959-1524(96)00009-1.
Wold, S., Sjöström, M., and Eriksson, L. (2001). Pls-regression: a basic tool of chemometrics. Chemometrics and Intelligent Laboratory Systems, 58(2):109-130. PLS Methods. DOI: https://doi.org/10.1016/S0169-7439(01)00155-1.
Wu, Y., Guo, H., Deng, R., and Song, H. (2023). Application of array imaging algorithm in horizontal well oil-water two-phase water holdup measurement. IEEE Sensors Journal, 23(3):2900-2913. DOI: 10.1109/JSEN.2022.3228642.
Wu, Y., Guo, H., Song, H., and Deng, R. (2022). Fuzzy inference system application for oil-water flow patterns identification. Energy, 239.
Xu, L., Zhou, W., Li, X., and Tang, S. (2011). Wet gas metering using a revised venturi meter and soft-computing approximation techniques. IEEE T. Instrumentation and Measurement, 60:947-956. DOI: 10.1109/TIM.2010.2045934.
Yan, Y. (2000). Flow rate measurement of bulk solids in pneumatic pipelines: problems and solutions. Bulk Solids Handling, 15.
Yan, Y., Wang, L., Wang, T., Wang, X., Hu, Y., and Duan, Q. (2018). Application of soft computing techniques to multiphase flow measurement: A review. Flow Measurement and Instrumentation, 60:30-43. DOI: 10.1016/j.flowmeasinst.2018.02.017.
Yi, L., Lu, J., Ding, J., Liu, C., and Chai, T. (2020). Soft sensor modeling for fraction yield of crude oil based on ensemble deep learning. Chemometrics and Intelligent Laboratory Systems, 204. DOI: 10.1016/j.chemolab.2020.104087.
Yu, W. and Zhao, C. (2019). Broad convolutional neural network based industrial process fault diagnosis with incremental learning capability. IEEE Transactions on Industrial Electronics, 67(6):5081-5091. DOI: 10.1109/TIE.2019.2931255.
Zhang, X., Hou, L., Zhu, Z., Liu, J., Sun, X., and Hu, Z. (2023). Flow pattern identification of gas-liquid two-phase flow based on integrating mechanism analysis and data mining. Geoenergy Science and Engineering, 228. DOI: 10.1016/j.geoen.2023.212013.
Zheng, G.-B., Jin, N., Jia, X.-H., Lv, P.-J., and Liu, X.-B. (2008). Gas–liquid two phase flow measurement method based on combination instrument of turbine flowmeter and conductance sensor. International Journal of Multiphase Flow, 34:1031-1047. DOI: 10.1016/j.ijmultiphaseflow.2008.05.002.
Zheng, Y. and Liu, Q. (2010). Review of certain key issues in indirect measurements of the mass flow rate of solids in pneumatic conveying pipelines. Measurement: Journal of the International Measurement Confederation, 43(6):727-734. DOI: 10.1016/j.measurement.2010.02.002.
Zhong, D., Xia, Z., Zhu, Y., and Duan, J. (2023). Overview of predictive maintenance based on digital twin technology. Heliyon, 9(4). DOI: 10.1016/j.heliyon.2023.e14534.
Zhou, H. and Niu, X. (2020). An image processing algorithm for the measurement of multiphase bubbly flow using predictor-corrector method. International Journal of Multiphase Flow, 128. DOI: 10.1016/j.ijmultiphaseflow.2020.103277.
Zhou, M., Li, T., Espeland, M., Wolfswinkel, O., and Havre, K. (2023). Digital twin provides virtual multiphase flow metering and leak detection to deepwater operations for operational decision making on liwan field. OTC Offshore Technology Conference. DOI: 10.4043/32263-MS.
Álvarez Pacheco, C., Ruiz-Diaz, C., and Hernandez-Rodriguez, O. (2024). Chordal measurement of phase fraction distribution in a static gas-liquid system using collimated gamma-ray densitometer and artificial neural networks. Revista Ingenio, 21(1):29-35.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2026 Luz Yamile Caicedo Chacón, Sebastian Roa Prada, Carlos Eduardo García Sánchez

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

