Bibliography: 1. Skuba V. N. Issledovanie ustoychivosti gornykh vyrabotok v usloviyakh mnogoletney merzloty [Research on the sustainability of mining in permafrost], Novosibirsk, Nauka, 1974, 118 p.
2. Sherstov V. A. Povyshenie ustoychivosti vyrabotok rossypnykh shakht Severa [Increase in sustainability of the mining of the North], Novosibirsk, Nauka, 1980, 56 p.
3. Kuz'min G. P. Podzemnye sooruzheniya v kriolitozone [Underground structures in the cryolitozone], Novosibirsk, Nauka, 2002, 176 p.
4. Galkin A. F. Thermal regime of cryolitozone mines. Zapiski Gornogo instituta. 2016. Vol. 219, pp. 377—381. [In Russ].
5. Kislyakov V. E., Nikitin A. V. Systematics of ways of ungetting clay sands in the development of deposits. Vestnik of Nosov Magnitogorsk State Technical University. 2009, no 1, pp. 13—16. [In Russ].
6. Dugartsyrenov A. V., Bel'chenko E. L. On the insulation of warehouses-dumps in the development of bulk-storages. Gornyy informatsionno-analiticheskiy byulleten’. 2009, no 2, pp. 129—133. [In Russ].\
7. Demidov Yu. V., Aminov V. N., Enyutin A. N. Development of the theoretical basis of the design of complex open-underground development of powerful deposits of the North. Kompleksnaya razrabotka rudnykh mestorozhdeniy moshchnymi glubokimi kar'erami: sbornik nauchnykh statey [Complex development of ore deposits by powerful deep quarries: collection of scientific articles], Apatity, 1995, pp. 24—31.
8. Demidov Yu. V., Enyutin A. N., Aminov V. N. Simulation of the conditions of seasonal fluctuation swaying of the temperature field of indigenous rocks near the day surface in the conditions of the North. Gornyy informatsionno-analiticheskiy byulleten’. 1999, no 3, pp. 168—172. [In Russ].
9. Aminov V. N. Termoizolyatsiya podzemnogo prostranstva pri otrabotke podkar'ernykh zapasov v usloviyakh dlitel'nogo deystviya nizkikh otritsatel'nykh temperatur [Thermal insulation of underground space during the development of sub-career reserves in the conditions of long-term action of low negative temperatures], Petrozavodsk, Verso, 2013, 51 p.
10. Karkashadze G. G., Bel'chenko E. L. Determining the depth of seasonal freezing of soils in the presence of multi-layered ut-eplification on the surface. Gornyy informatsionno-analiticheskiy byulleten’. 1999, no 1, pp. 23—26. [In Russ].
11. Dugartsyrenov A.V., Bel'chenko E. L. Parameters of insulation when the soils are frozen at an acceptable depth. Gornyy informatsionno-analiticheskiy byulleten’. 2009, no 5, pp. 44—47. [In Russ].
12. Komarov I. A. Termodinamika i teplomassoobmen v dispersnykh merzlykh porodakh [Thermodynamics and heat-mass exchange in dispersed frozen rocks], Moscow, Nauchnyy mir, 2003, 608 p.
13. Sosnovskiy A. V. Mathematical modeling of the effect of snow thickness on the degradation of permafrost during climate warming. Kriosfera Zemli. 2006. Vol. X, no 3, pp. 83—88. [In Russ].
14. Konstantinov P. Ya. On the connection of the depth of seasonal thawing with the interannual variability of the average annual temperature of the soils. Kriosfera Zemli. 2006. Vol. X, no 3, pp. 15—22. [In Russ].
15. Nagornova T.A. Mathematical simulation of the process of freezing of moisture-saturated soil. Izvestiya Tomskogo politekhnicheskogo universiteta. 2005. Vol. 308, no 6, pp. 127—129. [In Russ].
16. Khabibullin I. L., Soldatkin M. V. The dynamics of freezing of the seasonal-melt layer of cryolitozone with the presence of snow cover. Vestnik Bashkirskogo universiteta. 2012. Vol. 17, no 2, pp. 843—846. [In Russ].
17. Khabibullin I. L., Lobastova S. A., Buranshina A. R., Soldatkin M. V., Khusainova Z. R. Mathematical simulation of thermokarst processes in the fields of the Far North. Vestnik Bashkirskogo universiteta. 2007, no 1, pp. 21 —23. [In Russ].
18. Song T., Upreti K., Subbarayan G. A sharp interface isogeometric solution to the Stefan problem. Computer Methods in Applied Mechanics and Engineering. 2015, Vol. 284, pp. 556—582.
19. Mitchell S. L., Vynnycky M. On the numerical solution of two-phase Stefan problems with heat-flux boundary conditions. Journal of Computational and Applied Mathematics. 2014, Vol. 264, pp. 49—64. DOI: 10.1016/j.cam.2014.01.003.
20. Li M., Chaouki H., Robert J. L., Ziegler D., Martin D., Fafard M. Numerical simulation of Stefan problem with ensuing melt flow through XFEM/level set method. Finite Elements in Analysis and Design, 2018, Vol. 148, pp. 13—26. DOI: 10.1016/j.finel.2018.05.008.
21. Mustafa Turkyilmazoglu. Stefan problems for moving phase change materials and multiple solutions. International Journal of Thermal Sciences, 2018, Vol. 126, pp. 67—73
22. Bondarev E. A. Krasovitskiy B. A. Temperaturnyy rezhim neftyanykh i gazovykh skvazhin [Temperature regime of oil and gas wells], Novosibirsk, Nauka, 1974, 88 p.
23. Galkin A. F. Calculation of parameters of cryolithic zone mine openings thermal protection coating. Metallurgical and Mining Industry. 2015, Vol. 7, No 8, pp. 68—73.
24. McCord D., Crepeau J., Siahpush A., Brogin J. Analytical solutions to the Stefan problem with internal heat generation. Applied Thermal Engineering. 2016, Vol. 103, pp. 443—451.
25. Ioan Sarbu, Calin Sebarchievici Thermal energy storage. Solar heating and cooling systems, 2017, pp. 99—138. DOI: 10.1016/B978-0-12-811662-3.00004-9.
26. M. Zeeshan Khalid, M. Zubair, Majid Ali An analytical method for the solution of two phase Stefan problem in cylindrical geometry. Applied Mathematics and Computation. 2019, Vol. 342, pp. 295—308.
27. Crepeau J., Siahpush A. Solid-liquid phase change driven by internal heat generation. Comptes Rendus Mécanique. 2012, Vol. 340, no 7, pp. 471—476.
28. Rekomendatsii po proektirovaniyu i stroitel'stvu plotin iz gruntovykh materialov dlya proizvodstvennogo i pit'evogo vodosnabzheniya v usloviyakh Kraynego Severa i vechnoy merzloty [Recommendations for the design and construction of dams from soil materials for industrial and drinking water supply in the Far North and permafrost], Moscow, Stroyizdat, 1976, 112 p.
29. Galkin A. F. Complex use of heat-exchange tunnels. Zapiski Gornogo instituta. 2017. Vol. 224, pp. 209—214. [In Russ].
30. Galkin A. F. Integrated use of mine openings in cryolithic zone. Metallurgical and Mining Industry. 2015, Vol. 7, No 2, pp. 312—315.