Mathematical modeling of pollution of underground aquifers due to mining of minerals
Arsen Pukish1, Oleh Mandryk2, Liudmyla Arkhypova2, Serhii Syrovets3, Diana Hryniuk3
1PJSC “Ukrnafta”, Kyiv, Ukraine
2Ivano-Frankivsk National Technical University of Oil and Gas, Ivano-Frankivsk, Ukraine
3Taras Shevchenko National University of Kyiv, Kyiv, Ukraine
Min. miner. depos. 2024, 18(3):94-103
https://doi.org/10.33271/mining18.03.094
Full text (PDF)
      ABSTRACT
      Purpose. The research aims to create a mathematical model of salt contamination spreading through underground aquifers in the event of depressurization of the hydrocarbon production well crater for further assessment of environmental and economic damage from these processes.
      Methods. To predict the environmental and economic damage from salt contamination, the distribution of concentrations of harmful substances was investigated, taking into account the number of supply sources and their intensity over time, based on situ studies at the Rybalske Oil Field, Okhtyrskyi District of Sumska Oblast in Ukraine, where there were technological failures wells, accompanied by open fountains with the release of large amounts of highly mineralized water and the formation of craters. Mathematical modelling methods were used to process the data from the study of accidental technogenic pollution of underground aquifers.
      Findings. Based on real data from the study of the processes of potential salt contamination spread in fresh aquifers as a result of accidents at hydrocarbon production facilities, a mathematical model of salt contamination spreading in drinking groundwater in the event of depressurization of an oil field well crater has been developed. Potential economic losses in case of possible groundwater contamination with highly mineralized solution, which can into drinking groundwater aquifers, are substantiated. It has been established that in connection with the occurrence of an emergency situation due to the release of formation water to the surface in the territory of oil and gas fields, the formation of technogenic meromictic reservoirs is possible, which is confirmed by the example of the Rybalske Oil Field. It is proved that the total mineralization of crater water increases linearly with depth of the reservoir occurrence, and a similar dependence is characteristic of the chloride ion content.
      Originality. For the first time, a multicomponent mathematical model of mineral salt migration processes in underground freshwater aquifers in the case of depressurization of a meromictic reservoir has been developed.
      Practical implications. The research results obtained using numerical methods make it possible to predict the processes of spreading harmful substances in drinking underground aquifers as a result of emergencies at oil and gas fields, taking into account the number of sources of pollutants penetrating the study area, the heterogeneity of properties of the environment into which the harmful substance enters, and to assess the dynamics of changes in the concentration of these substances and time with further assessment of environmental and economic damage from these processes.
      Keywords: oil fields, drinking water pollution, mathematical modelling
      REFERENCES
- Solarz, J., Gawlik-Kobylińska, M., Ostant, W., & Maciejewski, P. (2022). Trends in energy security education with a focus on renewable and nonrenewable sources. Energies, 15(4), 1351. https://doi.org/10.3390/en15041351
- International Energy Agency (IEA). (2022). World energy outlook. Flagship report 2022. Paris, France: International Energy Agency. Retrieved from: https://www.iea.org/reports/world-energy-outlook-2022
- Andrusiv, U., Zelinska, H., Galtsova, O., Kupalova, H., & Goncharenk, N. (2021). The modeling and forecasting of fuel and energy resources usage in the context of the energy independence of Ukraine. Polityka Energetyczna – Energy Policy Journal, 24(1), 29-48. https://doi.org/10.33223/epj/132892
- Martins, F., Felgueiras, C., Smitkova, M., & Caetano, N. (2019). Analysis of fossil fuel energy consumption and environmental impacts in European countries. Energies, 12(6), 964. https://doi.org/10.3390/en12060964
- Ayoo, C. (2020). Towards energy security for the twenty-first century. Energy Policy, 1-18. https://doi.org/10.5772/intechopen.90872
- Velychkovych, A.S., Andrusyak, A.V., Pryhorovska, T.O., & Ropyak, L.Y. (2019). Analytical model of oil pipeline overground transitions, laid in mountain areas. Oil & Gas Science and Technology – Revue d’IFP Energies Nouvelles, 74, 65. https://doi.org/10.2516/ogst/2019039
- Hirschnitz-Garbers, M., Araujo, S.A., & Hinzmann, M. (2022). Exploring perspectives on climate-resource-nexus policies: Barriers and relevance in different world regions. Journal of Sustainable Development of Energy, Water and Environment Systems, 10(3), 1090408. https://doi.org/10.13044/j.sdewes.d9.0408
- Kondrat, O., Lukin, O., & Smolovyk, L. (2019). Analysis of possibilities to increase oil recovery with the use of nitrogen in the context of deep oil deposits of the Dnipro-Donetsk oil-and-gas Ukrainian province. Mining of Mineral Deposits, 13(4), 107-113. https://doi.org/10.33271/mining13.04.107
- Myrzakhmetov, B.А., Kuandykov, T.A., Mauletbekova, B.K., Balgayev, D.Y., & Nurkas, J.B. (2024). Multifunctional valve for the arrangement of submersible downhole pumps in downhole oil production. News of the National Academy of Sciences of the Republic of Kazakhstan, Series of Geology and Technical Sciences, 2(464), 156-168. https://doi.org/10.32014/2024.2518-170x.400
- Chomczyńska, M., Kujawska, J., & Wasąg, H. (2016). Application of drilling waste in the reclamation of acidic soils. Rocznik Ochrona Środowiska, 18(2), 375-388.
- Kujawska, J., & Wójcik-Oliveira, K. (2019). Effect of vermicomposting on the concentration of heavy metals in soil with drill cuttings. Journal of Ecological Engineering, 20(1), 152-157. https://doi.org/10.12911/22998993/93868
- Wang, Y., Ni, T., & He, B. (2024). Life cycle environmental impact assessment of natural gas distributed energy system. Scientific Reports, 14, 3292. https://doi.org/10.1038/s41598-024-53495-1
- Hryniuk, V.I., & Arkhypova, L.M. (2018). Regularity of effects of climatic changes on quality indicators of surface water of the Dniester basin. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, 3, 125-133. https://doi.org/10.29202/nvngu/2018-3/17
- Glibovytska, N., Rashevska, H., Arkhypova, L., Adamenko, Y., & Orfanova, M. (2024). Impact of electric power facilities on natural phytocenotic diversity. Ukrainian Journal of Forest and Wood Science, 15(2), 8-22. https://doi.org/10.31548/forest/2.2024.08
- Mandryk, O., Artym, V., Shtohry, M., & Zaytsev, V. (2020). Scientific rationale for the movable pipeline technology for transporting CNG by sea. Management Systems in Production Engineering, 28(3), 168-177. https://doi.org/10.2478/mspe-2020-0025
- Pukish, A.V., Sydorenko, O.I., Mandryk, O.M., Korobeinykova, Y.S., & Tuts, O.M. (2023). The effect of pollutants on the content of nutrients in soil. Nafta – Gaz, 79(4), 266-277. https://doi.org/10.18668/NG.2023.04.06
- Chelyadyn, V., Bogoslavets, M., Chelyadyn, L., Poznyak, O., & Novosad, P. (2020). Sludge of oil refining units and their processing. Journal of Ecological Engineering, 21(7), 169-177. https://doi.org/10.12911/22998993/125556
- Khoma, M., Vynar, V., Chuchman, M., & Vasyliv, C. (2021). Corrosion-mechanical failure of pipe steels in hydrogen sulfide environments. Degradation Assessment and Failure Prevention of Pipeline Systems. Lecture Notes in Civil Engineering, 102, 231-239. https://doi.org/10.1007/978-3-030-58073-5_18
- Yakoot, M.S., Elgibaly, A.A., Ragab, A.M.S., & Mahmoud, O. (2021). Well integrity management in mature fields: A state-of-the-art review on the system structure and maturity. Journal of Petroleum Exploration and Production Technology, 11(4), 1833-1853. https://doi.org/10.1007/s13202-021-01154-w
- Dutkiewicz, M., Dalyak, T., Shatskyi, I., & Venhrynyuk, T. (2021). Stress analysis in damaged pipeline with composite coating. Applied Sciences, 11, 10676. https://doi.org/10.3390/app112210676
- Tang, Z., Li, Q., & Yin, H. (2018). The influence of solute concentration and temperature of drilling fluids on wellbore failure in tight formation. Journal of Petroleum Science and Engineering, 160, 276-284. https://doi.org/10.1016/j.petrol.2017.10.053
- Dutkiewicz, M., Velychkovych, A., Shatskyi, I., & Shopa, V. (2022). Efficient model of the interaction of elastomeric filler with an open shell and a chrome-plated shaft in a dry friction damper. Materials, 15(13), 4671. https://doi.org/10.3390/ma15134671
- Huszar, T., Wittenberger, G., & Skvarekova, E. (2022). Warning signs of high-pressure formations of abnormal contour pressures when drilling for oil and natural gas. Processes, 10(6), 1106. https://doi.org/10.3390/pr10061106
- Shats’kyi, I.P., Shopa, V.M., & Velychkovych, A.S. (2021). Development of full-strength elastic element section with open shell. Strength of Materials, 53(2), 277-282. https://doi.org/10.1007/s11223-021-00286-y
- Mandryk, O.M., Mishchuk, B., Zelmanovych, A.I., Tuts, O.M., & Poberezhna, L. (2021). Investigation of the process of mud filtrate invasion from an open wellbore into a fresh water formation. Ecological Engineering and Environmental Technology, 22(4), 53-65. https://doi.org/10.12912/27197050/137868
- Shatskyi, I., Velychkovych, A., Vytvytskyi, I., & Seniushkovych, M. (2019). Analytical models of contact interaction of casing centralizers with well wall. Engineering Solid Mechanics, 7(4), 401-408. https://doi.org/10.5267/j.esm.2019.8.002
- Zheng, S., Wu, C., Wang, C., Huang, Y., Chen, H., & Zheng, H. (2021). Influence of casing eccentricity on the mechanical integrity of cement sheaths in fractured wells. ACS Omega, 6(48), 32763-32772. https://doi.org/10.1021/acsomega.1c04567
- Al-Shehri, D.A. (2019). Oil and gas wells: Enhanced wellbore casing integrity management through corrosion rate prediction using an augmented intelligent approach. Sustainability, 11(3), 818. https://doi.org/10.3390/su11030818
- Vytvytskyi, I.I., Seniushkovych, M.V., & Shatskyi, I.P. (2017). Calculation of distance between elastic-rigid centralizers of casing. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, 5, 29-36.
- Pogrebnyak, V.G., Chudyk, I.I., Pogrebnyak, A.V., & Perkun, I.V. (2022). Perforation of oil and gas wells by a high-velocity jet of polymer solution. Nafta – Gaz, 1, 3-12. https://doi.org/10.18668/NG.2022.01.01
- Moldabayeva, G.Z., Efendiyev, G.M., Kozlovskiy, A.L., Buktukov, N.S., & Abbasova, S.V. (2023). Modeling and adoption of technological solutions in order to enhance the effectiveness of measures to limit water inflows into oil wells under conditions of uncertainty. ChemEngineering, 7(5), 89. https://doi.org/10.3390/chemengineering7050089
- Sudakov, A., Chudyk, I., Sudakova, D., & Dziubyk, L. (2019). Innovative technology for insulating the borehole absorbing horizons with thermoplastic materials. E3S Web of Conferences, 123, 01033. https://doi.org/10.1051/e3sconf/201912301033
- Maruschak, P.O., Danyliuk, I.M., Bishchak, R.T., & Vuherer, T. (2014). Low temperature impact toughness of the main gas pipeline steel after long-term degradation. Central European Journal of Engineering, 4(4), 408-415. https://doi.org/10.2478/s13531-013-0178-6
- Bembenek, M., Grydzhuk, Y., Gajdzik, B., Ropyak, L., Pashechko, M., Slabyi, O., Al-Tanakchi, A., & Pryhorovska, T. (2024). An analytical-numerical model for determining “drill string-wellbore” frictional interaction forces. Energies, 17(2), 301. https://doi.org/10.3390/en17020301
- Tutko, T., Dubei, O., Ropyak, L., & Vytvytskyi, V. (2021). Determination of radial displacement coefficient for designing of thread joint of thin-walled shells. Advances in Design, Simulation and Manufacturing IV. DSMIE 2021. Lecture Notes in Mechanical Engineering, 153-162. https://doi.org/10.1007/978-3-030-77719-7_16
- Nykyforchyn, H.M., Tsyrul’nyk, O.T., Petryna, D.Yu., & Hredil’, M.I. (2009). Degradation of steels used in gas main pipelines during their 40-year operation. Strength of Materials, 41(5), 501-505. https://doi.org/10.1007/s11223-009-9158-8
- Kryzhanivskyi, E.I., Nykyforchyn, H.M., Student, O.Z., Krechkovska, H.V., & Chudyk, I.I. (2020). Role of nonmetallic inclusions in premature stress-corrosion fractures of drill pipes. Materials Science, 55(6), 822-830. https://doi.org/10.1007/s11003-020-00375-4
- Onysko, O., Borushchak, L., Kopei, V., Lukan, T., Medvid, I., & Vryukalo, V. (2020). Computer studies of the tightness of the drill string connector depending on the profile of its tapered thread. New Technologies, Development and Application III. NT 2020. Lecture Notes in Networks and Systems, 128, 720-729. https://doi.org/10.1007/978-3-030-46817-0_82
- Kopei, V., Onysko, O., Panchuk, V., Pituley, L., & Schuliar, I. (2022). Influence of working height of a thread profile on quality indicators of the drill-string tool-joint. Advanced Manufacturing Processes III. Inter Partner 2021. Lecture Notes in Mechanical Engineering, 395-404. https://doi.org/10.1007/978-3-030-91327-4_39
- Kondrat, O., & Kondrat, R. (2014). Investigation of regularities of trapped gas recovery from watered macro heterogeneous gas fields. Progressive Technologies of Coal, Coalbed Methane, and Ores Mining, 303-310. https://doi.org/10.1201/b17547
- Burachok, O., & Kondrat, O. (2019). Optimization of gas-condensate reservoir EOR technology under geological uncertainties. IOR 2019 – 20th European Symposium on Improved Oil Recovery, 2019, 1-9. https://doi.org/10.3997/2214-4609.201900130
- Pryhorovska, T., & Ropyak, L. (2019). Machining error influence on stress state of conical thread joint details. Proceedings of the 8th International Conference on Advanced Optoelectron and Lasers, 493-497. https://doi.org/10.1109/CAOL46282.2019.9019544
- Dutkiewicz, M., Shatskyi, I., Martsynkiv, O., & Kuzmenko, E. (2022). Mechanism of casing string curvature due to displacement of surface strata. Energies, 15(14), 5031. https://doi.org/10.3390/en15145031
- Zhuravel, N.E. (2000). The project of placement and arrangement of a special monitoring regime network of hydrochemical wells at the Rybalskoye field of the oil and gas production division “Akhtyrkaneftegaz”. The progress report on the stage, (4), 03-02-2000. Kharkiv, Ukraine: SVNTs “Intellekectservis”, 83 p.
- Zhuravel, N.E. (2007). The introduction to the conditions of observation wells in the area of craters No. 5 and No. 111 at the Rybalskoye field. The final report on the agreement No. 764-P. Kharkiv, Ukraine: SVNTs “Intellekectservis”, 17 p.
- Hnatyshyn, A.M., & Pukish, A.V. (2011). The continuation of ecological studies of the environment state within the impact of well craters No. 5, 111 at the Rybalske Oil Field. The final report on the service order No. 210416. Ivano-Frankivsk, Ukraine: Scientific Research and Design Institute PJSC “Ukrnafta”, 27 p.
- Pukish, A.V. (2017). The investigation of formation peculiarities of physicochemical composition in the surface and groundwater within the oil field. Oil and Gas Industry of Ukraine, 2, 40-42.
- Chomko, D., Samoilov, V., & Smyslov, I. (2012). The state of the underground hydrosphere at the site of the emergency crater at the Kehychivske field. Bulletin of Taras Shevchenko National University of Kyiv, 59, 42-44.
- Havadzyn, N.A. (2010). Natural and technogenic processes and economic losses from the harmful effects of oil and gas enterprises on the environment. Scientific Bulletin of IFNTUNG. Economics and Industrial Organization, 1(23), 125-130.
- Buktukov, N.S., Gumennikov, Y.S., Moldabayeva, G.Z., Buktukov, B.Z., & Yesbergenova, E.S. (2024). New solutions for mechanized small diameter shaft sinking for residual oil production. SOCAR Proceedings, 1, 81-86. https://doi.org/10.5510/OGP20240100944
- Zelinska, H., Andrusiv, U., Daliak, N., Dovgal, O., & Lagodiienko, V. (2021). Sustainable development: Trends in Ukraine and the world. Journal of Environmental Management and Tourism, 12(5), 1179-1187. https://doi.org/10.14505/jemt.v12.5(53).03
- Zelinska, H., Fedorovych, I., Andrusiv, U., Chernova, O., & Kupalova, H. (2020). Modeling and prediction of the gas pipelines reliability indicators in the context of energy security of Ukraine. CEUR Workshop Proceedings, 2713, 415-433.
- Irtyshcheva, I., Popadynets, N., Sytnyk, Y., Andrusiv, U., Khromyak, Y., Kramarenko, I., & Sakharnatskyi, V. (2023). Management of the environmental potential of freshwater resources in the conditions of sustainable development. Ecological Engineering & Environmental Technology, 24(4), 229-235.
- Methodology for calculating the reimbursement of losses caused to the state as a result of violation of the legislation on the protection and rational usage of water resources. (2015). Kyiv, Ukraine: Ministry of Environmental Protection of Ukraine, 17 p.
- Kravchynskyi, R., Korchemlyuk, M., Khilchevskyi, V., Arkhypova, L., Mykhailyuk, І., & Mykhailyuk, J. (2021). Spatial-factorial analysis of background status of the Danube River basin state on the northeastern slopes of the Ukrainian Carpathians. Journal of Physics: Conference Series, 1781(1), 11-12. https://doi.org/10.1088/1742-6596/1781/1/012011
- Klymchuk, I., Matiyiv, K., Arkhypova, L., & Korchemlyuk, M. (2022). Mountain tourist destination – The quality of groundwater sources. Ecological Engineering & Environmental Technology, 23(3), 208-214. https://doi.org/10.12912/27197050/147764
- Arkhypova, L., Vinnychenko, I., Kinash, I., Horoshkova, L., & Khlobystov, Ie. (2022). Theoretical substantiation of modeling of recreational systems. Ecological Engineering & Environmental Technology, 23(5), 99-108. https://doi.org/10.12912/27197050/151758
- Bandura, A., Petrechko, N., & Skaskiv, O. (2018). Maximum modulus in a bidisc of analytic functions of bounded L-index and an analogue of Hayman’s Theorem. Mathematica Bohemica, 143(4), 339-354. https://doi.org/10.21136/MB.2017.0110-16
- Bandura, A., & Skaskiv, O. (2019). Analytic functions in the unit ball of bounded L index in joint variables and of bounded L-index in direction: a connection between these classes. Demonstratio Mathematica, 52(1), 82-87. https://doi.org/10.1515/dema-2019-0008
- Mandryk, O., Pukish, A., & Zelmanovych, A. (2017). Formation peculiarities of physical and chemical composition of highly minera-lized edge water. Mining of Mineral Deposits, 11(1), 72-79. https://doi.org/10.15407/mining11.01.072
- Rajendran, R.M., Selvam, R.A., Tiwari, P., & Pandey, L.M. (2023). Recent perspectives on the management of formation water generated from hydrocarbon reservoirs. ACS ES&T Water, 3(6). https://doi.org/10.1021/acsestwater.2c00453
- Arkhypova, L.M., & Pernerovska, S.V. (2015). Forecasting water bodies hydrological parameters using singular spectrum analysis. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, 2, 45-50.
- Kravchynskyi, R.L., Khilchevskyi, V.K., Korchemluk, M.V., Arkhypova, L.M., & Plichko, L.V. (2021). Criteria for identification of landslides in the upper Prut River basin on satellite images. Geoinformatics, 1-6. https://doi.org/10.3997/2214-4609.20215521003
- Jasrotia, A.S., Kumar, R., Taloor, A.K., & Saraf, A.K. (2019). Artificial recharge to groundwater using geospatial and groundwater modelling techniques in North Western Himalaya, India. Arabian Journal of Geosciences, 12, 774. https://doi.org/10.1007/s12517-019-4855-5
- Gladish, D.W., Pagendam, D.E., Janardhanan, S., & Gonzalez, D. (2023). Geostatistical-based optimization of groundwater monitoring well network design. Frontiers in Earth Science, 11, 1188316. https://doi.org/10.3389/feart.2023.1188316