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One-Dimensional Mathematical Model and a Numerical Solution Accounting Sedimentation of Clay Particles in Process of Oil Filtering in Porous Medium

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Intelligent Human Computer Interaction (IHCI 2020)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 12615))

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Abstract

The article deals with the unsteady process of filtration of highly contaminated oil in a heterogeneous porous medium in a two-dimensional setting. A detailed analysis of scientific works related to the problem of mathematical modeling of the filtration process of heavily contaminated oils in porous media is given. The arbitrariness of the configuration of the field and the scatter of reservoir parameters over the reservoir area, the unevenness of the location of oil wells in the oil-bearing region and their variability in production rates, which are not limiting factors for the use of numerical modeling in calculations of the development of oil fields. A mathematical model has been developed that takes into account such factors as the sedimentation rate of fine particles, the change in porosity and filtration coefficients over time. The mathematical model is reduced to the joint solution of a system of differential equations of parabolic type, describing the filtration processes in reservoirs separated by a low-permeability bulkhead, with appropriate initial and boundary conditions. Computational experiments are given for various reservoir parameters and the cost of two production wells. The results of the developed software are presented, where the results of calculating the main indicators of field development are presented in tabular and graphical form. All the results of computational experiments are presented in a visual form.

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Authors and Affiliations

  1. Department of Multimedia Technologies, Tashkent University of Information Technologies named after Muhammad al-Khwarizmi, Tashkent, Uzbekistan

    Elmira Nazirova, Rustamjon Sadikov & Inomjon Nabiyev

  2. Multimedia Technologies, Tashkent University of Information Technologies named after Muhammad al-Khwarizmi, Tashkent, Uzbekistan

    Abdug’ani Nematov

Authors
  1. Elmira Nazirova
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  2. Abdug’ani Nematov
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  3. Rustamjon Sadikov
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  4. Inomjon Nabiyev
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Corresponding author

Correspondence to Rustamjon Sadikov .

Editor information

Editors and Affiliations

  1. Woosong University, Daejeon, Korea (Republic of)

    Madhusudan Singh

  2. Dongseo University, Busan, Korea (Republic of)

    Dae-Ki Kang

  3. Keimyung University, Daegu, Korea (Republic of)

    Jong-Ha Lee

  4. Indian Institute of Information Technoloy, Allahabad, India

    Uma Shanker Tiwary

  5. Hankuk University of Foreign Studies, Yongin, Korea (Republic of)

    Dhananjay Singh

  6. Pukyong National University, Busan, Korea (Republic of)

    Wan-Young Chung

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Nazirova, E., Nematov, A., Sadikov, R., Nabiyev, I. (2021). One-Dimensional Mathematical Model and a Numerical Solution Accounting Sedimentation of Clay Particles in Process of Oil Filtering in Porous Medium. In: Singh, M., Kang, DK., Lee, JH., Tiwary, U.S., Singh, D., Chung, WY. (eds) Intelligent Human Computer Interaction. IHCI 2020. Lecture Notes in Computer Science(), vol 12615. Springer, Cham. https://doi.org/10.1007/978-3-030-68449-5_35

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  • DOI: https://doi.org/10.1007/978-3-030-68449-5_35

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-68448-8

  • Online ISBN: 978-3-030-68449-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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