Test mode of operation network of monitoring subsoil radon in the south of Sakhalin

Makarov, E. O.; Фирстов, П. П.; Kostylev, D.V.; Rylov, Evgeny; Dudchenko, I.P.

doi:10.1051/e3sconf/20186203007

Cited by 4 publications

(1 citation statement)

References 2 publications

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“…The data on the accumulation of radon in the chambers at the PRTR point (Kamchatka), the YSSR point on Sakhalin Island [9] and also GLL (Kamchatka) [3] were used as the initial data for modeling. At these points, continuous registration of radon was carried out in chambers at a depth of 1 to 3 m [3].…”

Section: Simulation Resultsmentioning

confidence: 99%

Application of the Riccati hereditary mathematical model to the study of the dynamics of radon accumulation in the storage chamber

et al. 2021

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The article proposes a mathematical model of radon accumulation in a chamber, which takes into account the hereditary properties of the environment in which radon migrates. The model equation is the fractional Riccati equation with a derivative of a fractional variable order of the Gerasimov-Caputo type, taking into account heredity, as well as taking into account nonlinearity, which is responsible for the mechanisms of radon entry into the chamber. The obtained model curves of the accumulation process are compared with real data. It is shown that the model described in the work gives a better agreement between the model and real curves of radon accumulation and can be used for a more accurate description of the processes occurring in the chamber.

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Section: Simulation Resultsmentioning

confidence: 99%

Application of the Riccati hereditary mathematical model to the study of the dynamics of radon accumulation in the storage chamber

et al. 2021

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Research of the process of radon accumulation in the accumulating chamber taking into account the nonlinearity of its entrance

et al. 2020

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The paper presents a mathematical model of radon accumulation in a chamber, which takes into account the hereditary properties of the environment in which radon migrates, and also uses a nonlinear function that is responsible for the mechanisms of radon entering the chamber. The simulation of accumulation is performed in comparison with real data. It is shown that the model presented in this work gives a better agreement between the model and real curves of radon accumulation and can be used for a more accurate description of the processes occurring in the chamber.

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Hereditary Mathematical Model of the Dynamics of Radon Accumulation in the Accumulation Chamber

Tverdyi

Makarov²,

Parovik

2023

Mathematics

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Mathematical modeling is used to study the hereditary mechanism of the accumulation of radioactive radon gas in a chamber with gas-discharge counters at several observation points in Kamchatka. Continuous monitoring of variations in radon volumetric activity in order to identify anomalies in its values is one of the effective methods for studying the stress–strain state of the geo-environment with the possibility of building strong earthquake forecasts. The model equation of radon transfer, taking into account its accumulation in the chamber and the presence of the hereditary effect (heredity or memory), is a nonlinear differential Riccati equation with non-constant coefficients with a fractional derivative in the sense of Gerasimov–Caputo, for which local initial conditions are set (Cauchy problem). The proposed hereditary model of radon accumulation in the chamber is a generalization of the previously known model with an integer derivative (classical model). This fact indicates the preservation of the properties of the previously obtained solution according to the classical model, as well as the presence of new properties that are applied to the study of radon volumetric activity at observation points. The paper shows that due to the order of the fractional derivative, as well as the quadratic nonlinearity in the model equation, the results of numerical simulation give a better approximation of the experimental data of radon monitoring than by classical models. This indicates that the hereditary model of radon transport is more flexible, which allows using it to describe various anomalous effects in the values of radon volume activity.

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Test mode of operation network of monitoring subsoil radon in the south of Sakhalin

Cited by 4 publications

References 2 publications

Application of the Riccati hereditary mathematical model to the study of the dynamics of radon accumulation in the storage chamber

Application of the Riccati hereditary mathematical model to the study of the dynamics of radon accumulation in the storage chamber

Research of the process of radon accumulation in the accumulating chamber taking into account the nonlinearity of its entrance

Hereditary Mathematical Model of the Dynamics of Radon Accumulation in the Accumulation Chamber

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