Математичне моделювання процесу нейтралізації агресивної домішки у підземних водах: експрес модель

M. M. Biliaiev; V. V. Kozachyna; O.Yu. Gunko; V. M. Kuznetsov; O. V. Zvonarova

doi:10.15802/stp2025/346941

Authors

M. M. Biliaiev Ukrainian State University of Science and Technologies, SEI DIIT, Ukraine https://orcid.org/0000-0002-1531-7882
V. V. Kozachyna Ukrainian State University of Science and Technologies, SEI DIIT, Ukraine https://orcid.org/0000-0002-7433-7306
O.Yu. Gunko Ukrainian State University of Science and Technologies, SEI DIIT, Ukraine https://orcid.org/0000-0001-9257-763X
V. M. Kuznetsov Ukrainian State University of Science and Technologies, SEI DIIT, Ukraine https://orcid.org/0000-0003-2253-8103
O. V. Zvonarova Ukrainian State University of Science and Technologies, SEI DIIT, Ukraine https://orcid.org/0009-0001-9545-6996

DOI:

https://doi.org/10.15802/stp2025/346941

Keywords:

filtration, geomigration of groundwater pollution, mass transfer, mathematical modeling, permeable barrier

Abstract

Purpose. One of the modern means of protecting groundwater in the presence of aggressive impurities is the use of permeable barriers (reactive barrier). When conducting design work, it is important to determine the effectiveness of permeable barriers in advance. To solve such a complex problem, it is necessary to have specialized mathematical models. This paper considers the development of numerical models for calculating the process of neutralizing an aggressive impurity in the groundwater flow using a permeable barrier with regard to the flow hydrodynamics. Methodology. The hydrodynamics of groundwater is described by a two-dimensional equation (planar model) of filtration of a non-pressure groundwater flow. To model the process of aggressive impurity movement in the groundwater flow, a two-dimensional equation of convective-dispersive spreading of the pollutant in a non-pressure groundwater flow is used. Two finite-difference splitting schemes are used to numerically integrate the groundwater filtration equation. For the numerical integration of the equation of mass transfer of an aggressive impurity, a splitting scheme for physical processes is used. Finding. The software implementation of the developed numerical models of groundwater dynamics and mass transfer of aggressive impurities was carried out. The developed computer codes are a tool for operational analysis of the permeable barrier efficiency. Originality. The solution to the complex problem of geomigration - the movement of an aggressive impurity and its neutralization in a permeable barrier - is considered. To analyze the efficiency of the permeable barrier, a numerical model of groundwater dynamics and mass transfer of an aggressive impurity in groundwater was developed. On the basis of the developed numerical models, computer codes for computational experiments were developed. The developed numerical models make it possible to carry out a series of calculations within one working day to scientifically substantiate the parameters of the permeable barrier. Practical value. The developed numerical models make it possible to quickly solve complex problems in the field of water resources protection from pollution.

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