Mathematical modeling of radon transport in the aerated zone of porositic geomedium under conditions of its stress-strain state
G. A. Skovpen, R. I. Parovik

References
1.	Rudakov V. P., Emanatsionnyi monitoring geosred i protsessov, Nauchnyi mir, M., 2009, 176 pp.
2.	Grammakov A. G., Nikonov A. I., Tarfeev G. P., Radiometricheskie metody poiskov i razvedki uranovykh rud, Gosgeoltekhizdat, M., 1957, 610 pp.
3.	Novikov G. F., Kapkov Yu. N., Radioaktivnye metody razvedki, Nedra, L., 1965, 759 pp.
4.	Novikov G. F., Radiometricheskaya razvedka, Nedra, L., 1989, 407 pp.
5.	Parovik R.I., Matematicheskie modeli klassicheskoi teorii emanatsionnogo metoda, Kamchatskii gosudarstvennyi universitet im. Vitusa Beringa, g. Petropavlovsk-Kamchatskii, 2014, 128 pp.
6.	Etiope G., Martinelli G., “Migration of carrier and trace gases in the geosphere: an overview”, Phys. Earth Planet. Inter, 129 (2002), 185-204
7.	Tsapalov A. A., “Rezultaty dolgovremennykh issledovanii zakonomernostei povedeniya OA i EROA radona v zdaniyakh moskovskogo regiona”, ANRI, 61:3 (2011), 52–64
8.	Nunes L. J. R., Curado A, Lopes S. I., “The Relationship between Radon and Geology: Sources, Transport and Indoor Accumulation”, Appl. Sci., 13 (2023), 7460
9.	Su C., Wang M., Yin Y., Sun C., Zou Z., Wang H., Dai Y., “Approaches to Estimating Indoor Exposure to Radon — A Systematic Review”, Atmosphere, 16 (2025), 286
10.	Nunes L. J. R., Curado A., “The Harmonization of Radon Exposure Mitigation for the Sustainability of Buildings: Assessing the Impact of the EURATOM Directive on European Legislation”, Buildings, 15 (2025), 618
11.	Bulashevich Yu. P., Utkin V. I., Yurkov A. K., Nikolaev V. V., “Izmenenie kontsentratsii radona kak predvestnik gornykh udarov v glubokikh shakhtakh”, Gornyi zhurnal, 1996, no. 6, 19 – 22
12.	Moshupya P. M., Mohuba S. C., Abiye T. A., Korir I., Nhleko S., “Indoor Radon Monitoring in Residential Areas in the Vicinity of Coal Mining Operations in the Mpumalanga Province, South Africa”, Atmosphere, 16 (2025), 290
13.	Montiel-López D., Molina S., Galiana-Merino J. J., Gómez I., Kharazian A. Soler-Llorens J. L., Huesca-Tortosa J. A., Guardiola-Villora A., Ortuño-Sáez G., “Spatio-Temporal Correlation Between Radon Emissions and Seismic Activity: An Example Based on the Vrancea Region (Romania)”, Sensors, 25 (2025), 933
14.	Tverdyi D., Makarov E., Parovik, R., “Estimation of Radon Flux Density Changes in Temporal Vicinity of the Shipunskoe Earthquake with M$_w$ = 7.0, 17 August 2024 with the Use of the Hereditary Mathematical Model”, Geosciences, 15 (2025), 30
15.	Gulan L., “Analysis of Long-Term Monitoring of Radon Levels in a Low-Ventilated, Semi-Underground Laboratory—Dose Estimation and Exploration of Potential Earthquake Precursors”, Atmosphere, 15 (2024), 1534
16.	Firstov P. P., “Monitoring ob'emnoi aktivnosti podpochvennogo radona (222Rn) na Paratunskoi geotermalnoi sisteme v 1997-1998 gg. s tselyu poiska predvestnikov silnykh zemletryasenii Kamchatki”, Vulkanologiya i seismologiya, 1999, no. 6, 22 – 31
17.	Firstov P. P., Makarov E. O., “Reaktsiya podpochvennogo i rastvorennogo v podzemnykh vodakh radona na izmenenie napryazhenno-deformirovannogo sostoyaniya zemnoi kory”, Seismicheskie pribory, 51:4 (2015), 58 – 80
18.	Firstov P. P., Makarov E. O., Dinamika podpochvennogo radona na Kamchatke i silnye zemletryaseniya, KamGU im. Vitusa Beringa, P.-Kamchatskii, 2018, 147 pp.
19.	Katkova G. A., Makarov E. O., Parovik R. I., “Kompyuternaya programma dlya modelirovaniya anomalnykh variatsii ob'emnoi aktivnosti radona na osnove mekhanizma ego inzhektsii v potok gruntovykh vod”, Vestnik KRAUNTs. Fiziko-matematicheskie nauki, 40:3 (2022), 165 – 178
20.	Dubinchuk V. T., “Analiz vozmozhnostei ispolzovaniya gidrokhimicheskikh predvestnikov zemletryasenii”, Vodnye resursy, 1983, no. 5, 130 – 136
21.	Gudzenko V. V., Dubinchuk V. T., Izotopy radiya i radon v prirodnykh vodakh, Nauka, M., 1987, 45 pp.
22.	Dubinchuk V. T., “Radon as a precursor of earthquakes / Isotopic geochemical precursors of earthquakes and volcanic eruption”, Proceedings of an Advisory Group Meeting held in Vienna (9-12 September), Proceedings of an Advisory Group Meeting held in Vienna, Vienna, 1991, 6 – 22
23.	Skovpen G. A., “Programma dlya modelirovaniya anomalnykh variatsii ob'emnoi aktivnosti radona na osnove mekhanizma ego inzhektsii v potok gruntovykh vod: \textnumero 2022686131: zayavl. 21.12.2022: opubl. 09.01.2023”, Svidetelstvo o gosudarstvennoi registratsii programmy dlya EVM \textnumero 2023610264 RF. FGBOU VO «Kamchatskii gosudarstvennyi universitet imeni Vitusa Beringa»
24.	Parovik R. I., “Model nestatsionarnoi diffuzii-advektsii radona sisteme grunt-atmosfera”, Vestnik KRAUNTs. Fiziko-matematicheskie nauki, 2010, no. 1(1), 39 – 45
25.	Parovik R. I., Shevtsov B. M., “Protsessy perenosa radona v sredakh s fraktalnoi strukturoi”, Matematicheskoe modelirovanie, 21:8 (2009), 30–36
26.	Ditkin V. A., Prudnikov A. P., Spravochnik po operatsionnomu ischisleniyu, Vysshaya shkola, M., 1965, 466 pp.
27.	Parovik R. I., Matematicheskoe modelirovanie neklassicheskoi teorii emanatsionnogo metoda, KamGU im. V. Beringa, P.-Kamchatskii, 2014, 80 pp.