Print

 

Method of experimental determining the parameters of impregnating a liquid into the soil

 

Volodymyr Oliinik

National University of Civil Defenсe of Ukraine

https://orcid.org/0000-0002-5193-1775

 

Oleksii Basmanov

National University of Civil Defenсe of Ukraine

https://orcid.org/0000-0002-6434-6575

 

Yuliia Mykhailovska

National University of Civil Defenсe of Ukraine

https://orcid.org/0000-0003-1090-5033

 

DOI: https://doi.org/10.52363/2524-0226-2022-36-2

 

Keywords: liquid spillage, impregnation parameters, Green-Ampt model, porosity coefficient, bulk material

 

Аnnotation

The object of the study is the process of liquid impregnation into bulk material. It was built a mathematical model that determines the parameters of impregnation of liquid into the soil: porosity coefficient, hydraulic conductivity coefficient and suction head. It is assumed that the process of liquid infiltration into the soil is described by the Green-Ampt model. The feature of the model is a boundary between wet and dry soil. The main idea of the method is to choose the impregnation parameters in such a way that the calculated value of the impregnation depth differs as little as possible from the experimentally obtained values. The methodology for estimating the parameters of the model of impregnating the liquid into the soil is given. First, the process of liquid impregnation into a soil sample in a glass measuring cylinder is videotaped. Then the depth of liquid penetration is measured at certain moments of time. The estimate of the porosity coefficient is obtained directly from the experimental data. It was built a minimization problem for estimating the values of the coefficient of hydraulic conductivity and the suction head. The minimum of the sum of the squares of deviations between experimentally determined impregnation depths and the calculated ones was used as a criterion for determining parameter values. The minimization problem is solved by using the gradient descent method. The values of the partial derivatives are approximated by their expressions in finite differences. As an example of the use of proposed method, the parameters of the impregnation of crude oil into sand were evaluated. Comparing the calculated impregnation depth and the experimentally determined one indicates a good coincidence of the results. The proposed method of determining the infiltration parameters can be used in the practical application of the liquid spreading and infiltrating model.

 

References

  1. Raja, S., Tauseef, S. M., Abbasi, T. (2018). Risk of Fuel Spills and the Transient Models of Spill Area Forecasting. Journal of Failure Analysis and Prevention, 18, 445–455. doi: 10.1007/s11668-018-0429-1
  2. 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: 10.32434/0321-4095-2019-122-1-92-99
  3. 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: 10.1016/j.jlp.2019.05.021
  4. Etkin, D., Horn, M., Wolford, A. (2017). CBR-Spill RISK: Model to Calculate Crude-by-Rail Probabilities and Spill Volumes. International Oil Spill Conference Proceedings, 3189–3210. doi: 10.7901/2169-3358-2017.1.3189
  5. Zhao, X., Chen, C., Shi, C., 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: 10.1016/j.tust.2018.12.013
  6. Mygalenko, K., Nuyanzin, 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, 31–37. doi: 10.15587/1729-4061.2018.121727
  7. 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. In Materials Science Forum. Trans Tech Publications Ltd, 1006, 179–184. doi: 10.4028/www.scientific.net/MSF.1006.179
  8. 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 online: http://repositsc.nuczu.edu.ua/handle/123456789/6849
  9. 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. doi: 10.1016/j.icheatmasstransfer.2020.104685
  10. 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: 10.1177/0734904116683716
  11. 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 wal. Experimental Thermal and Fluid Science, 61, 121–129. doi: 10.1016/j.expthermflusci.2014.10.019
  12. Abramov, Yu., Basmanov, O., Krivtsova, V., Salamov, J. (2019). Modeling of spilling and extinguishing of burning fuel on horizontal surface. Naukovyi Visnyk NHU, 4, 86–90. doi: 10.29202/nvngu/2019-4/16
  13. 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: 10.1016/j.psep.2019.08.009
  14. Meel, A., Khajehnajafi, S. (2012). A comparative analysis of two approaches for pool evaporation modeling: Shrinking versus nonshrinking pool area. Process Safety Progress, 34, 304–314. doi: 10.1002/prs.11502
  15. 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. doi: 10.15587/1729-4061.2022.262249
  16. Ramli, H., Zabidi, H. A. (2015). Effect of oil spill on hydraulic properties of soil. Malaysian construction research journal, 49. Available online: https://www.academia.edu/download/62252229/MCRJ_V19N2_520200302-87581-109jtez.pdf
  17. Tokunaga, T. K. (2020). Simplified Green-Ampt Model, Imbibition-Based Estimates of Permeability, and Implications for Leak-off in Hydraulic Fracturing. Water Resources Research. doi: 10.1029/2019WR026919
  18. Abramov, Y., Basmanov, O., Oliimik V. (2021). Modeling the spilling of flammable liquid in a case of railway accident. Problems of emergency situations, 1(33), 30–42. doi: 10.52363/2524-0226-2021-33-3