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Theoretical Substantiation of Mathematical Models of Oil Filtration Through a Porous Medium

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Advanced Manufacturing Processes III (InterPartner 2021)

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

Abstract

This paper focuses on determining the influence of soil, oil, and environmental factors on the process of oil filtration in a porous medium such as soil. Mathematical modeling of the oil geofiltration process based on classical and modified regularities makes it possible to solve a significant environmental problem associated with predicting the pollution zone due to accidental oil spills. The research methodology is based on the substantiation of theoretical models of oil filtration through porous media, methods for the numerical solution of equations, and computer visualization (ANSYS CFX software). Experimental data supported the verification of the adequacy of the models. Based on obtained results, it was found that all oil flowed into well-permeable sand at a speed of approximately 4·10–4 m/h. The developed model of the stochastic process of petroleum hydrocarbons geofiltration involved obtaining the output as dependent variables, contamination level, contamination depth, and oil spot borders. Numerical solution and visualization using computer simulation showed the distribution of oil hydrocarbons in the soil in vertical and horizontal directions. The mathematical model allowed to predict the formation of the pollution front and assess the contaminated zone's size.

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Author information

Authors and Affiliations

  1. Sumy State University, 2, Rymskogo-Korsakova Street, Sumy, 40007, Ukraine

    Iryna Ablieieva, Leonid Plyatsuk, Oksana Burla & Oleh Chekh

  2. Linköping University, 581 83, Linköping, Sweden

    Alex Enrich-Prast

Authors
  1. Iryna Ablieieva
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  2. Leonid Plyatsuk
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  3. Oksana Burla
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  4. Oleh Chekh
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  5. Alex Enrich-Prast
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Corresponding author

Correspondence to Iryna Ablieieva .

Editor information

Editors and Affiliations

  1. Odessa Polytechnic State University, Odessa, Ukraine

    Volodymyr Tonkonogyi

  2. Sumy State University, Sumy, Ukraine

    Vitalii Ivanov

  3. Poznan University of Technology, Poznan, Poland

    Justyna Trojanowska

  4. Odessa Polytechnic State University, Odessa, Ukraine

    Gennadii Oborskyi

  5. Sumy State University, Sumy, Ukraine

    Ivan Pavlenko

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Ablieieva, I., Plyatsuk, L., Burla, O., Chekh, O., Enrich-Prast, A. (2022). Theoretical Substantiation of Mathematical Models of Oil Filtration Through a Porous Medium. In: Tonkonogyi, V., Ivanov, V., Trojanowska, J., Oborskyi, G., Pavlenko, I. (eds) Advanced Manufacturing Processes III. InterPartner 2021. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-91327-4_55

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  • DOI: https://doi.org/10.1007/978-3-030-91327-4_55

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-91326-7

  • Online ISBN: 978-3-030-91327-4

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