Mathematical and graphical approaches to improve the process of saturation of flushing fluid with air in the circulation system of a drilling rig unit
DOI:
https://doi.org/10.15587/2706-5448.2025.329744Keywords:
circulation system, cleaning unit, design, foam generator, mathematical modeling, software environment, graphical researchAbstract
The object of research is the process of air saturation of the flushing fluid using a multi-nozzle foam generator in the circulation systems of drilling rigs.
One of the most problematic areas in the known designs of foam generators is the insufficient efficiency of air saturation of the fluid, which is solved by the design proposed in the work. The design of a multi-nozzle foam generator is proposed by improving the mixing chamber. This design allowed to provide improved foam formation, more efficient air saturation of the flushing fluid, reduce the time of well development and increase the productivity of the device without changing the pressure and supply of fluid and air.
During the study, computer mathematical modeling was used (in the Maple 9.5 software environment), a study of the dependence of air flow on pressure and fluid flow at nozzle diameters of 4 mm and 6 mm was performed. The studies considered graphical analysis to determine the optimal operating modes of the foam generator.
An improved multi-nozzle foam generator with improved foaming efficiency, uniform saturation of the flushing fluid with air, reduced energy consumption and reduced well development time was obtained. This is due to the improvement of the design of the mixing chamber, which has a number of features. The proposed design provides intense turbulence, uniform mixing of the fluid with air, optimization of the geometric parameters of the nozzles and feed channels, as well as reduction of hydraulic losses in the foaming process.
Thanks to this research, it is possible to obtain indicators that characterize the pattern of increasing air flow in proportion to increasing pressure. Compared with known analogues, the proposed foam generator, thanks to the variable geometric parameters of the mixing chamber and nozzles, allows to obtain foam mixtures with a wider range of properties. Such geometric changes provide better saturation of the fluid with air, create more intense turbulence, reduce hydraulic losses, and also increase the productivity and efficiency of well development.
References
- Savyk, V. M., Liakh, M. M., Mykhailiuk, V. V. (2013). Pat. No. 77955 UA. Pinoheneruiuchyi prystrii bahatosoplovyi. MPK V01F 3/04, E02V 8/00. No. u201205435; declareted: 03.05.12; published: 11.03.13. Bul. No. 5, 6.
- Liakh, M. M., Savyk, V. M., Molchanov, P. O. (2017). Experimental and industrial research on foamgenerating devices. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, 5 (161), 17–23. Available at: https://nvngu.in.ua/index.php/uk/arkhiv-zhurnalu/za-vipuskami/1493-2017-ukr/zmist-5-2017/rozrobka-rodovishch-korisnikh-kopalin/4151-eksperimentalni-ta-promislovi-doslidzhennya-pinogeneruyuchikh-pristrojiv
- Kuzmenko, V. P., Lysenko, O. M. (2012). Otsinka vplyvu heometrychnykh parametriv na robotu pinoheneruiuchoho prystroiu. Rozvidka ta rozrobka naftovykh i hazovykh rodovyshch, 2 (43), 123–130. Available at: https://irbis-nbuv.gov.ua/cgi-bin/irbis_nbuv/cgiirbis_64.exe?C21COM=2&I21DBN=UJRN&IMAGE_FILE_DOWNLOAD=1&Image_file_name=PDF%2Frrngr_2012_2_23.pdf&P21DBN=UJRN
- Petrenko, I. V., Sydorenko, R. M. (2016). Improving the efficiency of foamgenerating devices of pump-circulative systems of drilling sets. Naukovyi visnyk NHU, 3, 56–63. Available at: https://mail.nvngu.in.ua/index.php/uk/arkhiv-zhurnalu/za-vipuskami/1247-2016/zmist-3-2016/rozrobka-rodovishch-korisnikh-kopalin/3517-pidvishchennya-efektivnosti-pinogeneruyuchikh-pristrojiv-nasosno-tsirkulyatsijnikh-sistem-burovikh-ustanovok
- Cao, P., Chen, Z., Liu, M., Cao, H., Chen, B. (2019). Numerical and experimental study of a novel aerodynamic foam breaker for foam drilling fluid. Energy Science & Engineering, 7 (6), 2410–2420. https://doi.org/10.1002/ese3.428
- Shendrik, O., Fyk, M., Biletskyi, V., Kryvulia, S., Donskyi, D., Alajmeen, A., Pokhylko, A. (2019). Energy-saving intensification of gas-condensate field production in the east of Ukraine using foaming reagents. Mining of Mineral Deposits, 13 (2), 82–90. https://doi.org/10.33271/mining13.02.082
- Liakh, M. M., Savyk, V. M., Molchanov, P. O. (2016). Improving the efficiency of foam-generating devices of pump-circulative systems of drilling sets. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, 3, 16–23. Available at: https://nvngu.in.ua/index.php/uk/arkhiv-zhurnalu/za-vipuskami/1247-2016/zmist-3-2016/rozrobka-rodovishch-korisnikh-kopalin/3517-pidvishchennya-efektivnosti-pinogeneruyuchikh-pristrojiv-nasosno-tsirkulyatsijnikh-sistem-burovikh-ustanovok
- Krot, O. Yu., Korobko, B. O., Krot, O. P., Virchenko, V. V. (2023). Eksperymentalni metody doslidzhen. Poltava: NUPP, 192.
- Syvko, V. Ya., Skubok, Ye. O. (1998). Rukh dynamichnoi systemy z urakhuvanniam vnutrishnoho oporu seredovyshcha. Zbirnyk naukovykh prats “Vibrotekhnolohiia – 98”. Obrobka dyspersnykh materialiv i seredovyshch. Teoriia, doslidzhennia. Tekhnolohiia ta obladnannia. Kyiv: NVO “VOTUM”, 16–21.
- Kaliuzhnyi, A., Molchanov, P., Savyk, V., Knysh, M., Yaremiychuk, R. (2022). Determining foaming regularities enabled by a five-nozzle foam generator for drilling technologies under conditions of abnormally low pressures. Eastern-European Journal of Enterprise Technologies, 4 (1 (118)), 72–79. https://doi.org/10.15587/1729-4061.2022.262506
- Lu, C., Wu, Y., Zhu, D., Liang, Y. (2024). Study on the foam production characteristics of air self-suction foam generator by jet. https://doi.org/10.21203/rs.3.rs-4804887/v1
- Li, D., Li, F., Deng, S., Liu, J., Huang, Y., Yang, S. (2022). Preparation of Oil-Based Foam Gel with Nano-SiO2 as Foam Stabilizer and Evaluation of Its Performance as a Plugging Agent for Fractured Shale. Geofluids, 2022, 1–12. https://doi.org/10.1155/2022/9539999
- Al-Darweesh, J., Aljawad, M. S., Al-Ramadan, M., Elkatatny, S., Mahmoud, M., Patil, S. (2022). Review of underbalanced drilling techniques highlighting the advancement of foamed drilling fluids. Journal of Petroleum Exploration and Production Technology, 13 (4), 929–958. https://doi.org/10.1007/s13202-022-01596-w
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Copyright (c) 2025 Petro Molchanov, Tetiana Surzhko, Maksym Knysh, Yuliya Sribna, Vasyl Savyk, Serhii Novopysmennyi, Oleksii Debre, Yuliia Salenko, Serhii Hudz, Dmytro Zakomirnyi

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