Russian Journal of Earth Sciences Russian Journal of Earth Sciences Russian Journal of Earth Sciences 1681-1208 52759 10.2205/2022ES01SI01 СПЕЦВЫПУСК: "ФУНДАМЕНТАЛЬНЫЕ И ПРИКЛАДНЫЕ АСПЕКТЫ ГЕОЛОГИИ, ГЕОФИЗИКИ И ГЕОЭКОЛОГИИ" Special Issue: "Fundamental and applied aspects of geology, geophysics and geoecology" СПЕЦВЫПУСК: "ФУНДАМЕНТАЛЬНЫЕ И ПРИКЛАДНЫЕ АСПЕКТЫ ГЕОЛОГИИ, ГЕОФИЗИКИ И ГЕОЭКОЛОГИИ" The mathematical model of thermoelastic stresses in the Carpathian region The mathematical model of thermoelastic stresses in the Carpathian region Bakhova Natalia Bakhova Natalia bakhova.nataly@gmail.com National Academy of Sciences of the Ukraine Institute of geophysics by name S. I. Subbotin Kiev Украина National Academy of Sciences of the Ukraine Institute of geophysics by name S. I. Subbotin Kiev Ukraine 04 12 2022 04 12 2022 22 5 1 5 01 07 2022 10 08 2022 https://rjes.ru/en/nauka/article/52759/view

The two-dimensional thermoelastic model of the Carpathian region is constructed using the finite element method. The physical-mathematical model is as close as possible to the real environment. A~high-precision detailed distribution of temperatures, heat flow, thermoelastic stresses and displacements is obtained. It is shown that inhomogeneous heating of rocks and structural heterogeneities lead to significant changes in stress and displacement fields in the Carpathian region.

The two-dimensional thermoelastic model of the Carpathian region is constructed using the finite element method. The physical-mathematical model is as close as possible to the real environment. A~high-precision detailed distribution of temperatures, heat flow, thermoelastic stresses and displacements is obtained. It is shown that inhomogeneous heating of rocks and structural heterogeneities lead to significant changes in stress and displacement fields in the Carpathian region.

 temperature heat flow thermoelastic stresses displacements inhomogeneous medium temperature heat flow thermoelastic stresses displacements inhomogeneous medium temperature, heat flow, thermoelastic stresses, displacements, inhomogeneous medium temperature, heat flow, thermoelastic stresses, displacements, inhomogeneous medium

Bakhova, N. I., Computing experiment in modern geophysics, Proceedings of National Aviation University, 40(3), 262-270, doi:10.18372/2306-1472.40.1781, 2009. Bakhova, N. I., Computing experiment in modern geophysics, Proceedings of National Aviation University, 40(3), 262-270, doi:10.18372/2306-1472.40.1781, 2009. Bakhova, N. I., Thermoelastic stresses in non-uniform geological environments difficult outline, Proceedings of National Aviation University, 42(1), 70-77, doi:10.18372/2306-1472.45.1888, 2010. Bakhova, N. I., Thermoelastic stresses in non-uniform geological environments difficult outline, Proceedings of National Aviation University, 42(1), 70-77, doi:10.18372/2306-1472.45.1888, 2010. Bodine, J. H., M. S. Steckler, and A. B. Watts, Observations of flexure and the rheology of the oceanic lithosphere, Journal of Geophysical Research: Solid Earth, 86(B5), 3695-3707, doi:10.1029/JB086iB05p03695, 1981. Bodine, J. H., M. S. Steckler, and A. B. Watts, Observations of flexure and the rheology of the oceanic lithosphere, Journal of Geophysical Research: Solid Earth, 86(B5), 3695-3707, doi:10.1029/JB086iB05p03695, 1981. Bratt, S. R., E. A. Bergman, and S. C. Solomon, Thermoelastic stress: How important as a cause of earthquakes in young oceanic lithosphere?, Journal of Geophysical Research: Solid Earth, 90(B12), 10249-10260, doi:10.1029/JB090iB12p10249, 1985. Bratt, S. R., E. A. Bergman, and S. C. Solomon, Thermoelastic stress: How important as a cause of earthquakes in young oceanic lithosphere?, Journal of Geophysical Research: Solid Earth, 90(B12), 10249-10260, doi:10.1029/JB090iB12p10249, 1985. Chekunov, A. V. (Ed.), The Lithosphere of Central and Eastern Europe Geo-traverses I, II and V, 168 pp., Naukova Dumka, Kiev, (in Russian), 1987. Chekunov, A. V. (Ed.), The Lithosphere of Central and Eastern Europe Geo-traverses I, II and V, 168 pp., Naukova Dumka, Kiev, (in Russian), 1987. Chen, W.-P., and P. Molnar, Focal depths of intracontinental and intraplate earthquakes and their implications for the thermal and mechanical properties of the lithosphere, Journal of Geophysical Research: Solid Earth, 88(B5), 4183-4214, doi:10.1029/JB088iB05p04183, 1983. Chen, W.-P., and P. Molnar, Focal depths of intracontinental and intraplate earthquakes and their implications for the thermal and mechanical properties of the lithosphere, Journal of Geophysical Research: Solid Earth, 88(B5), 4183-4214, doi:10.1029/JB088iB05p04183, 1983. Glushko, V. V., Tectonics and oil-and gas bearing of the carpathians and adjoining troughs, Moscow: Nedra, p. 264, (in Russian), 1968. Glushko, V. V., Tectonics and oil-and gas bearing of the carpathians and adjoining troughs, Moscow: Nedra, p. 264, (in Russian), 1968. Kutas, R. I., Thermal flow and geothermic models of the earth’s crust of the ukrainian carpathians, Geophysical journal, 36(6), 3-27, doi:10.24028/gzh.0203-3100.v36i6.2014.111016, 2014. Kutas, R. I., Thermal flow and geothermic models of the earth’s crust of the ukrainian carpathians, Geophysical journal, 36(6), 3-27, doi:10.24028/gzh.0203-3100.v36i6.2014.111016, 2014. Kutas, V. V., A. V. Kendzera, V. D. Omelchenko, G. M. Drogitskaya, and I. A. Kalitova, Manifestations of seismic activity in xviii-xx centuries and potentially seismically dangerous zones of western part of ukraine, Geophysical journal, 28(4), 3-15, 2006. Kutas, V. V., A. V. Kendzera, V. D. Omelchenko, G. M. Drogitskaya, and I. A. Kalitova, Manifestations of seismic activity in xviii-xx centuries and potentially seismically dangerous zones of western part of ukraine, Geophysical journal, 28(4), 3-15, 2006. Landau, L. D., and E. M. Lifshitz, Theory of Elasticity, 246 pp., Nauka, Moscow, (in Russian), 1987. Landau, L. D., and E. M. Lifshitz, Theory of Elasticity, 246 pp., Nauka, Moscow, (in Russian), 1987. McNutt, M. K., and H. W. Menard, Constraints on yield strength in the oceanic lithosphere derived from observations of flexure, Geophysical Journal International, 71(2), 363-394, doi:10.1111/j.1365-246X.1982.tb05994.x, 1982. McNutt, M. K., and H. W. Menard, Constraints on yield strength in the oceanic lithosphere derived from observations of flexure, Geophysical Journal International, 71(2), 363-394, doi:10.1111/j.1365-246X.1982.tb05994.x, 1982. Turcotte, D. L., and G. Schubert, Geodynamics: Applications of Continuum Physics to Geological Problems, 450 pp., John Wiley and Son, New York, 1982. Turcotte, D. L., and G. Schubert, Geodynamics: Applications of Continuum Physics to Geological Problems, 450 pp., John Wiley and Son, New York, 1982. Willett, S. D., D. S. Chapman, and H. J. Neugebauer, A thermo-mechanical model of continental lithosphere, Nature, 314(6011), 520-523, doi:10.1038/314520a0, 1985. Willett, S. D., D. S. Chapman, and H. J. Neugebauer, A thermo-mechanical model of continental lithosphere, Nature, 314(6011), 520-523, doi:10.1038/314520a0, 1985. Zienkiewicz, O., and I. Cheung, The Finite Element Method in Engineering Science, McGraw-Hill, London, New York, 1971. Zienkiewicz, O., and I. Cheung, The Finite Element Method in Engineering Science, McGraw-Hill, London, New York, 1971.