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Inverse Problem of Contaminant Transport in Porous Media

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Current Problems in Applied Mathematics and Computer Science and Systems (APAMCS 2022)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 702))

Abstract

In this paper, we consider the inverse problem of identifying the retardation coefficient of a parabolic differential equation describing the solute transport in a porous medium, taking into account equilibrium adsorption, advection-diffusion, convection and decomposition (decay) of solute transport. Concentration time curves at given three points of the medium are used as initial data. The retardation coefficient is determined by minimizing the quadratic discrepancy functional. On the basis of a quasi-real experiment, it is shown that the discrepancy parameter can be restored with sufficient accuracy.

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Authors and Affiliations

  1. Samarkand State University, Samarkand, Uzbekistan

    B. H. Khuzhayorov & O. Sh. Khaydarov

  2. Pedagogical Institute of Termez State University, Termiz, Uzbekistan

    E. Ch. Kholiyarov

Authors
  1. B. H. Khuzhayorov
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  2. E. Ch. Kholiyarov
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  3. O. Sh. Khaydarov
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Corresponding author

Correspondence to O. Sh. Khaydarov .

Editor information

Editors and Affiliations

  1. Information Systems Department, Stavropol State Agrarian University, Stavropol, Russia

    Anatoly Alikhanov

  2. Information Systems Department, Stavropol State Agrarian University, Stavropol, Russia

    Pavel Lyakhov

  3. Information Systems Department, Stavropol State Agrarian University, Stavropol, Stavropol Territory, Russia

    Irina Samoylenko

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Khuzhayorov, B.H., Kholiyarov, E.C., Khaydarov, O.S. (2023). Inverse Problem of Contaminant Transport in Porous Media. In: Alikhanov, A., Lyakhov, P., Samoylenko, I. (eds) Current Problems in Applied Mathematics and Computer Science and Systems. APAMCS 2022. Lecture Notes in Networks and Systems, vol 702. Springer, Cham. https://doi.org/10.1007/978-3-031-34127-4_9

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  • DOI: https://doi.org/10.1007/978-3-031-34127-4_9

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-34126-7

  • Online ISBN: 978-3-031-34127-4

  • eBook Packages: EngineeringEngineering (R0)

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