Model for Reconstruction of <i>γ</i>-Background during Liquid Atmospheric Precipitation
With regard to reconstructing the gamma background dose rate, existing models are either empirical with limited applicability or have many unknown input parameters, which complicates their application in practice. Due to this, there is a need to search for a new approach and build a convenient, easi...
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| Format: | Article |
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MDPI AG
2021-07-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/14/1636 |
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| author | Valentina Yakovleva Aleksey Zelinskiy Roman Parovik Grigorii Yakovlev Aleksey Kobzev |
| author_facet | Valentina Yakovleva Aleksey Zelinskiy Roman Parovik Grigorii Yakovlev Aleksey Kobzev |
| author_sort | Valentina Yakovleva |
| collection | DOAJ |
| description | With regard to reconstructing the gamma background dose rate, existing models are either empirical with limited applicability or have many unknown input parameters, which complicates their application in practice. Due to this, there is a need to search for a new approach and build a convenient, easily applicable and universal model. The paper proposes a mathematical model for reconstructing the temporal evolution of the ambient equivalent <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>γ</mi></semantics></math></inline-formula>-radiation dose rate during rain episodes, depending on the density of radon flux from the soil surface, as well as the duration and intensity of rain. The efficiency of the model is confirmed by the high coefficient of determination (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>R</mi><mn>2</mn></msup></semantics></math></inline-formula> = 0.81–0.99) between the measured and reconstructed ambient equivalent dose rate during periods of rain, the simulation of which was performed using Wolfram Mathematica. An algorithm was developed for restoring the dynamics of the ambient equivalent <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>γ</mi></semantics></math></inline-formula>-radiation dose rate during rainfall. Based on the results obtained, assumptions were made where the washout of radionuclides originates. The influence of the radionuclides ratio on the increase in the total <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>γ</mi></semantics></math></inline-formula>-radiation dose rate was investigated. |
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| language | English |
| last_indexed | 2024-03-10T09:32:34Z |
| publishDate | 2021-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-92d90f3225554fb5916ff44a2378cffe2023-11-22T04:19:53ZengMDPI AGMathematics2227-73902021-07-01914163610.3390/math9141636Model for Reconstruction of <i>γ</i>-Background during Liquid Atmospheric PrecipitationValentina Yakovleva0Aleksey Zelinskiy1Roman Parovik2Grigorii Yakovlev3Aleksey Kobzev4School of Nuclear Science & Engineering, Nuclear Fuel Cycle Department, Tomsk Polytechnic University, 634050 Tomsk, RussiaSchool of Nuclear Science & Engineering, Nuclear Fuel Cycle Department, Tomsk Polytechnic University, 634050 Tomsk, RussiaInstitute of Cosmophysical Research and Radio Wave Propagation, Far Eastern Branch of the Russian Academy of Sciences, 684034 Kamchatskiy Kray, RussiaInstitute of Applied Mathematics and Computer Science, Tomsk State University, 634050 Tomsk, RussiaInstitute of Monitoring of Climatic and Ecological Systems of Siberian Branch of the Russian Academy of Sciences, 634055 Tomsk, RussiaWith regard to reconstructing the gamma background dose rate, existing models are either empirical with limited applicability or have many unknown input parameters, which complicates their application in practice. Due to this, there is a need to search for a new approach and build a convenient, easily applicable and universal model. The paper proposes a mathematical model for reconstructing the temporal evolution of the ambient equivalent <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>γ</mi></semantics></math></inline-formula>-radiation dose rate during rain episodes, depending on the density of radon flux from the soil surface, as well as the duration and intensity of rain. The efficiency of the model is confirmed by the high coefficient of determination (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>R</mi><mn>2</mn></msup></semantics></math></inline-formula> = 0.81–0.99) between the measured and reconstructed ambient equivalent dose rate during periods of rain, the simulation of which was performed using Wolfram Mathematica. An algorithm was developed for restoring the dynamics of the ambient equivalent <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>γ</mi></semantics></math></inline-formula>-radiation dose rate during rainfall. Based on the results obtained, assumptions were made where the washout of radionuclides originates. The influence of the radionuclides ratio on the increase in the total <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>γ</mi></semantics></math></inline-formula>-radiation dose rate was investigated.https://www.mdpi.com/2227-7390/9/14/1636radon decay productssimulationmodelgamma backgrounddose rateatmospheric precipitation |
| spellingShingle | Valentina Yakovleva Aleksey Zelinskiy Roman Parovik Grigorii Yakovlev Aleksey Kobzev Model for Reconstruction of <i>γ</i>-Background during Liquid Atmospheric Precipitation Mathematics radon decay products simulation model gamma background dose rate atmospheric precipitation |
| title | Model for Reconstruction of <i>γ</i>-Background during Liquid Atmospheric Precipitation |
| title_full | Model for Reconstruction of <i>γ</i>-Background during Liquid Atmospheric Precipitation |
| title_fullStr | Model for Reconstruction of <i>γ</i>-Background during Liquid Atmospheric Precipitation |
| title_full_unstemmed | Model for Reconstruction of <i>γ</i>-Background during Liquid Atmospheric Precipitation |
| title_short | Model for Reconstruction of <i>γ</i>-Background during Liquid Atmospheric Precipitation |
| title_sort | model for reconstruction of i γ i background during liquid atmospheric precipitation |
| topic | radon decay products simulation model gamma background dose rate atmospheric precipitation |
| url | https://www.mdpi.com/2227-7390/9/14/1636 |
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