The work substantiates the necessity and considers the methodology of own (by the researcher-modeler’s own effort) development of special applied software as a tool for modeling geological processes. The concept of a mantle plume as a system of mantle-crustal migrants, sequentially rising from the core to the fragile earth’s crust through a solid plastic mantle medium by the magma- and/or fluid fracture, is presented. A tool for computer modeling of thermal disturbance above a mantle plume in the process of its vertical development with the ability to save, process and interpret the obtained numerical and graphic information is proposed. Dependences are obtained ­between the depths of vertical propagation of the plume, geometric and temperature intervals of relaxation of thermal disturbance in the host medium, and geodynamic parameters. A method for assessing the thermal expansion of a medium based on the values of internal iterative variables during program execution is proposed.

Vladimir I. Vasiliev. Candidate of Geological and Mineralogical Sciences,Researcher, Geological Institute of Siberian Branch of Russian Acаdеmуof Sciences (GIN SB RAS).6A, Sakhyanova str., Ulan-Ude, Republic of Buryatia,670047, Russiae-mail: geovladi@yandex.ru, geovladi@ginst.ru

Eugenia V. Vasilieva, Candidate of Geological and Mineralogical Sciences, Researcher, Geological Institute of Siberian Branch of Russian Acаdеmуof Sciences (GIN SB RAS).6A, Sakhyanova str., Ulan-Ude, Republic of Buryatia,670047, Russia.e-mail: geovladi@ginst.ru

Nikolay S. Zhatnuev, Doctor of Geological and Mineralogical Sciences,Senior Researcher, Geological Institute of Siberian Branch of Russian Acаdеmуof Sciences (GIN SB RAS).6A, Sakhyanova str., Ulan-Ude, Republic of Buryatia,670047, Russiae-mail: zhat@ginst.ru

1. Burmin V.Yu. Distribution of density and elastic parameters in the Earth. Izvestiya. Physics of the Solid Earth. 2006;42(7):608–620. DOI: 10.1134/S106935130607007X.
2. Babaev V.V., Budymka V.F., Sergeeva T.A., Dombrovsky M.A. Teplofizicheskie svoistva gornykh porod [Thermophysical properties of rocks]. Moscow: Nedra; 1987. 156 p. [In Russian].
3. Vadkovsky V.N. Subvertikal’nye skopleniya gipotsentrov zemletryasenii – seismicheskie “gvozdi” [Sub-vertical clusters of earthquake hypocenters  – seismic “nails”]. Vestnik Otdelenia nauk o Zemle RAN. 2012;4:NZ1001. DOI: 10.2205/2012NZ000110. [In Russian].
4. Vasiliev V.I. Chislennoe modelirovanie dinamiki teplomassopotokov i mineraloobrazovaniya v gidrotermal’noi sisteme sredinno-okeanicheskikh khrebtov [Numerical modeling of the dynamics of heat and mass flows and mineral formation in the hydrothermal system of mid-oceanic ridges]. In: Voprosy geologii kontinentov i okeanov : tezisy dokladov shkoly-seminara rossiiskikh delegatov XXXI Mezhdunarodnogo geologicheskogo kongressa (NIS «Akad. Ioffe», Kaliningrad – Rio de Janeiro – Kaliningrad , 27 June – 9 September 2000). Moscow: Nauchnyi mir; 2001. P. 51.
[In Russian].
5. Vasiliev V.I., Vasilieva E.V., Zhatnuev N.S., Sanzhiev G.D. Parameters of origin and evolution of the mantle-crust migrant. Geoinformatika. 2019;2:34–42. [In Russian].
6. Vasiliev V.I., Zhatnuev N.S., Vasilieva E.V. Non-stationary thermophysical calculations in the range of plume adiabatic–geotherm. In: Ul’tramafit-mafitovye kompleksy: geologiya, stroenie, rudnyi potentsial : materialy konferentsii (16–20 September 2019). Irkutsk: Izd-vo «Ottisk»; 2019. pp. 76–82. [In Russian].
7. Vasiliev V.I., Zhatnuev N.S., Vasilieva E.V. Calculation of thermal perturbance of the thermogradient medium during the rise of the mantle-crustal migrant. Geoinformatika. 2019;4:46–53. [in Russian].
8. Vasiliev V.I., Chudnenko K.V., Zhatnuev N.S., Vasilieva E.V. Computer modeling of geological objects by the example of subduction zone section. Geoinformatika. 2009;3:15–29. [in Russian].
9. Vasilieva E.V., Vasiliev V.I., Zhatnuev N.S., Sanzhiev G.D. Tektonofizicheskoe issledovanie dinamiki flyuidozapolnennykh polostei v tverdoi plastichnoi srede [Tectono-physical study of the dynamics of fluid-filled cavities in a solid plastic medium]. In: Tektonofizika i aktual’nye voprosy nauk o Zemle : Materialy Tret’ei tektonofizicheskoi konferentsii v IFZ RAN (Moscow, 8–12 October 2012). Moscow: Institute of Physics of the Earth RAS; 2012. V. 1. pp. 265–268. [In Russian].
10. Zhatnuev N.S., Vasiliev V.I., Sanzhiev G.D. The ascending migration of fluids in mantle, the conceptual, rated and analogous models. Otechestvennaya Geologiya. 2013;3:24–30. [In Russian].
11. Zhatnuev N.S., Vasiliev V.I., Vasilieva E.V., Rychagov S.N. The influence of rheologic crustal properties of the crust on the location of ore-forming hydrothermal magmatic systems. Journal of volcanology and seismology. 2012;6(3):184–196. DOI: 10.1134/s0742046312030062.
12. Karpov I.K. Fiziko-khimicheskoe modelirovanie na EVM v geokhimii [Physical and chemical computer modeling in geochemistry]. Novosibirsk: Nauka; 1981. 247 p. [In Russian].
13. Korotkikh A.G. Teploprovodnost’ materialov [Thermal conductivity of materials]. Tomsk: Tomsk Polytechnic Universuty; 2011. 97 p. [In Russian].
14. Kuznetsov G.V., Sheremet M.A. Raznostnye metody resheniya zadach teploprovodnosti [Difference methods for solving problems of heat conduction]. Tomsk: Tomsk Polytechnic Universuty; 2007. 172 p. [In Russian].
15. Petrunin G.I., Popov V.G. Teplofizicheskie svoistva veshchestva Zemli [Thermophysical properties of the substance of the Earth]. Moscow: Moscow State University Faculty of Physics; 2011. Part 1. 68 p. [In Russian].
16. Sanditov D.S., Sydykov B.S. Modulus of elasticity and thermal expansion coefficient of glassy solids. Physics of the solid state. 2014;56(5):1006–1008. DOI: 10.1134/S1063783414050242.
17. Chudnenko K.V. Termodinamicheskoe modelirovanie v geokhimii: teoriya, algoritmy, programmnoe obespechenie, prilozheniya [Thermodynamic modeling in geochemistry: theory, algorithms, software, applications]. Novosibirsk: GEO; 2010. 287 p. [In Russian].
18. Condie K.C. Earth as an evolving planetary system. Amsterdam; Boston: Elsevier Academic Press, 2005. 578 p.
19. Dziewonski A.M., Anderson D.L. Preliminary reference Earth model. Physics of the Earth and Planetary Interiors. 1981;25(4):297–356. DOI: 10.1016/0031-9201(81)90046-7.
20. Hirschmann M.M. Water, melting, and the deep Earth H2O cycle. Annual Review of Earth and Planetary Sciences. 2006;34:629–653. DOI: 10.1146/annurev.earth.34.031405.125211.