Justifying the experimental method for determining the parameters of liquid infiltration in bulk material

Authors

DOI:

https://doi.org/10.15587/1729-4061.2022.262249

Keywords:

liquid spill, impregnation parameters, Green-Ampt model, porosity coefficient, bulk material

Abstract

The object of this study is the process of impregnation of liquid into the bulk material, in particular, into the soil. Determining the impregnation parameters is a relevant task when assessing the consequences of an emergency spill of a hazardous liquid. Infiltration of liquid into the soil leads to pollution of water resources. However, the greatest danger is the ignition of the spill of a combustible liquid.

Based on the Green-Ampt model, a mathematical description of the impregnation of liquid into bulk material was built. It is a system of two ordinary differential equations of the first order, one of which describes the reduction of the thickness of the liquid layer on the surface, and the other describes the dynamics of the impregnation of liquid into depth. The solution to the system was derived in the form of time dependence on the depth of impregnation.

An experimental study was conducted on the example of impregnation of crude oil in the sand. To this end, sand was poured into a vertical measuring glass cylinder. After that, the liquid was poured and a video recording of the impregnation process was carried out. By processing the video recording, the depth of impregnation and the corresponding time were determined. The results of the study show that the relationship between the thickness of the liquid layer on the surface of the sand and the depth of impregnation is linear in nature: the relative deviation of linear approximation from experimental data does not exceed 3.5.

By expanding the logarithmic function contained in the solution to the system of differential equations into the Taylor series, a polynomial dependence of time on the depth of impregnation was established. To determine the coefficients of the polynomial based on the experimental data, the least squares method was used. In this case, the approximation error after the first minute after spilling does not exceed 10 %.

The proposed method could be used to account for seepage in the model of liquid spreading on the ground and the burning model of a flammable liquid spill

Author Biographies

Yuriy Abramov, National University of Civil Defence of Ukraine

Doctor of Technical Sciences, Professor, Chief Researcher

Research Center

Oleksii Basmanov, National University of Civil Defence of Ukraine

Doctor of Technical Sciences, Professor, Chief Researcher

Scientific Department on the Problems of Civil Defense, Technogenic and Ecological Safety of Research Center

Volodymyr Oliinik, National University of Civil Defence of Ukraine

PhD, Associate Professor, Head of Department

Department of Fire and Technological Safety of Facilities and Technologies

Ihor Khmyrov, National University of Civil Defence of Ukraine

Doctor of Science in Public Administration, Associate Professor, Senior Researcher

Scientific Department on the Problems of Civil Defense, Technogenic and Ecological Safety of Research Center

References

  1. Raja, S., Tauseef, S. M., Abbasi, T., Abbasi, S. A. (2018). Risk of Fuel Spills and the Transient Models of Spill Area Forecasting. Journal of Failure Analysis and Prevention, 18 (2), 445–455. doi: https://doi.org/10.1007/s11668-018-0429-1
  2. Vasyukov, A., Loboichenko, V., Bushtec, S. (2016). Identification of bottled natural waters by using direct conductometry. Ecology, Environment and Conservation, 22 (3), 1171–1176. Available at: http://repositsc.nuczu.edu.ua/handle/123456789/1633
  3. Loboichenko, V. M., Vasyukov, A. E., Tishakova, T. S. (2017). Investigations of Mineralization of Water Bodies on the Example of River Waters of Ukraine. Asian Journal of Water, Environment and Pollution, 14 (4), 37–41. doi: https://doi.org/10.3233/ajw-170035
  4. Kustov, M. V., Kalugin, V. D., Tutunik, V. V., Tarakhno, E. V. (2019). Physicochemical principles of the technology of modified pyrotechnic compositions to reduce the chemical pollution of the atmosphere. Voprosy Khimii i Khimicheskoi Tekhnologii, 1, 92–99. doi: https://doi.org/10.32434/0321-4095-2019-122-1-92-99
  5. Popov, O., Iatsyshyn, A., Kovach, V., Artemchuk, V., Kameneva, I., Taraduda, D. et. al. (2020). Risk Assessment for the Population of Kyiv, Ukraine as a Result of Atmospheric Air Pollution. Journal of Health and Pollution, 10 (25), 200303. doi: https://doi.org/10.5696/2156-9614-10.25.200303
  6. Huang, W., Shuai, B., Zuo, B., Xu, Y., Antwi, E. (2019). A systematic railway dangerous goods transportation system risk analysis approach: The 24 model. Journal of Loss Prevention in the Process Industries, 61, 94–103. doi: https://doi.org/10.1016/j.jlp.2019.05.021
  7. Etkin, D. S., Horn, M., Wolford, A. (2017). CBR-Spill RISK: Model to Calculate Crude-by-Rail Probabilities and Spill Volumes. International Oil Spill Conference Proceedings, 2017 (1), 3189–3210. doi: https://doi.org/10.7901/2169-3358-2017.1.3189
  8. Zhao, X., Chen, C., Shi, C., Chen, J., Zhao, D. (2019). An extended model for predicting the temperature distribution of large area fire ascribed to multiple fuel source in tunnel. Tunnelling and Underground Space Technology, 85, 252–258. doi: https://doi.org/10.1016/j.tust.2018.12.013
  9. Migalenko, K., Nuianzin, V., Zemlianskyi, A., Dominik, A., Pozdieiev, S. (2018). Development of the technique for restricting the propagation of fire in natural peat ecosystems. Eastern-European Journal of Enterprise Technologies, 1 (10 (91)), 31–37. doi: https://doi.org/10.15587/1729-4061.2018.121727
  10. Kovalov, A., Otrosh, Y., Rybka, E., Kovalevska, T., Togobytska, V., Rolin, I. (2020). Treatment of Determination Method for Strength Characteristics of Reinforcing Steel by Using Thread Cutting Method after Temperature Influence. Materials Science Forum, 1006, 179–184. doi: https://doi.org/10.4028/www.scientific.net/msf.1006.179
  11. Dadashov, I., Loboichenko, V., Kireev, A. (2018). Analysis of the ecological characteristics of environment friendly fire fighting chemicals used in extinguishing oil products. Pollution Research, 37 (1), 63–77. Available at: http://repositsc.nuczu.edu.ua/handle/123456789/6849
  12. Pan, Y., Li, M., Luo, X., Wang, C., Luo, Q., Li, J. (2020). Analysis of heat transfer of spilling fire spread over steady flow of n-butanol fuel. International Communications in Heat and Mass Transfer, 116, 104685. doi: https://doi.org/10.1016/j.icheatmasstransfer.2020.104685
  13. Zhao, J., Liu, Q., Huang, H., Yang, R., Zhang, H. (2017). Experiments investigating fuel spread behaviors for continuous spill fires on fireproof glass. Journal of Fire Sciences, 35 (1), 80–95. doi: https://doi.org/10.1177/0734904116683716
  14. Seo, J., Lee, J. S., Kim, H. Y., Yoon, S. S. (2015). Empirical model for the maximum spreading diameter of low-viscosity droplets on a dry wall. Experimental Thermal and Fluid Science, 61, 121–129. doi: https://doi.org/10.1016/j.expthermflusci.2014.10.019
  15. Abramov, Y. O., Basmanov, O. Y., Krivtsova, V. I., Salamov, J. (2019). Modeling of spilling and extinguishing of burning fuel on horizontal surface. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, 4. doi: https://doi.org/10.29202/nvngu/2019-4/16
  16. Raja, S., Abbasi, T., Tauseef, S. M., Abbasi, S. A. (2019). Equilibrium models for predicting areas covered by accidentally spilled liquid fuels and an assessment of their efficacy. Process Safety and Environmental Protection, 130, 153–162. doi: https://doi.org/10.1016/j.psep.2019.08.009
  17. Meel, A., Khajehnajafi, S. (2012). A comparative analysis of two approaches for pool evaporation modeling: Shrinking versus nonshrinking pool area. Process Safety Progress, 31 (3), 304–314. doi: https://doi.org/10.1002/prs.11502
  18. Tokunaga, T. K. (2020). Simplified Green‐Ampt Model, Imbibition‐Based Estimates of Permeability, and Implications for Leak‐off in Hydraulic Fracturing. Water Resources Research, 56 (4). doi: https://doi.org/10.1029/2019wr026919
  19. Abramov, Y. A., Basmanov, O. E., Salamov, J., Mikhayluk, A. A. (2018). Model of thermal effect of fire within a dike on the oil tank. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, 2, 95–101. doi: https://doi.org/10.29202/nvngu/2018-2/12
  20. Otrosh, Y., Semkiv, O., Rybka, E., Kovalov, A. (2019). About need of calculations for the steel framework building in temperature influences conditions. IOP Conference Series: Materials Science and Engineering, 708 (1), 012065. doi: https://doi.org/10.1088/1757-899x/708/1/012065

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Published

2022-08-30

How to Cite

Abramov, Y., Basmanov, O., Oliinik, V., & Khmyrov, I. (2022). Justifying the experimental method for determining the parameters of liquid infiltration in bulk material. Eastern-European Journal of Enterprise Technologies, 4(10 (118), 24–29. https://doi.org/10.15587/1729-4061.2022.262249

Issue

Vol. 4 No. 10 (118) (2022): Ecology

Section

Ecology

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Copyright (c) 2022 Yuriy Abramov, Oleksii Basmanov, Volodymyr Oliinik, Ihor Khmyrov

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