Analysis of results of interpretation of elastic parameters of solid core of the Earth from the standpoint of current geomechanics

It follows from the basic principles of mechanics of deformable solids relating to the strength, stability and propagation of elastic waves that the inner core of the Earth cannot exist in the form of a spherical structure in the assumed thermobaric conditions and calculation values of physico-mecha...

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Date:2017
Main Author: Guliyev, H.H.
Format: Article
Language:Russian
Published: S. Subbotin Institute of Geophysics of the NAS of Ukraine 2017
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Online Access:https://journals.uran.ua/geofizicheskiy/article/view/94012
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Journal Title:Geofizicheskiy Zhurnal

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Geofizicheskiy Zhurnal
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author Guliyev, H.H.
author_facet Guliyev, H.H.
author_sort Guliyev, H.H.
baseUrl_str
collection OJS
datestamp_date 2020-10-07T11:14:17Z
description It follows from the basic principles of mechanics of deformable solids relating to the strength, stability and propagation of elastic waves that the inner core of the Earth cannot exist in the form of a spherical structure in the assumed thermobaric conditions and calculation values of physico-mechanical parameters. Pressure level reaches a value that is significantly greater than the theoretical limit of medium strength in the model approximations at the surface of the sphere of the inner core. On the other hand, equilibrium state of the sphere is unstable by the geometric forming at much lower loads under the influence of the "dead" surface loads. In case of the action of "follower" loads, the assumed pressure value on the surface of the sphere is comparable with the value of the critical load of "internal" instability. In these cases, due to the instability of the equilibrium state, propagation of homogeneous deformations becomes uneven in the sphere. Moreover, the elastic waves with actual velocity cannot propagate in such conditions in solid medium. Violation of these fundamental conditions of mechanics needed in determining the physical and mechanical properties of the medium must be taken into account in the integrated interpretations of seismic and laboratory (experimental) data. In this situation, application of linear elasticity theory and elastic waves, despite compliance with the required integral conditions on the mass, moment of inertia and natural oscillations of the Earth, does not ensure the reliability of results on the structure and composition of the Earth's core.
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spelling journalsuranua-geofizicheskiy-article-940122020-10-07T11:14:17Z Analysis of results of interpretation of elastic parameters of solid core of the Earth from the standpoint of current geomechanics Guliyev, H.H. Earth's core high pressure instability elastic waves with actual velocity It follows from the basic principles of mechanics of deformable solids relating to the strength, stability and propagation of elastic waves that the inner core of the Earth cannot exist in the form of a spherical structure in the assumed thermobaric conditions and calculation values of physico-mechanical parameters. Pressure level reaches a value that is significantly greater than the theoretical limit of medium strength in the model approximations at the surface of the sphere of the inner core. On the other hand, equilibrium state of the sphere is unstable by the geometric forming at much lower loads under the influence of the "dead" surface loads. In case of the action of "follower" loads, the assumed pressure value on the surface of the sphere is comparable with the value of the critical load of "internal" instability. In these cases, due to the instability of the equilibrium state, propagation of homogeneous deformations becomes uneven in the sphere. Moreover, the elastic waves with actual velocity cannot propagate in such conditions in solid medium. Violation of these fundamental conditions of mechanics needed in determining the physical and mechanical properties of the medium must be taken into account in the integrated interpretations of seismic and laboratory (experimental) data. In this situation, application of linear elasticity theory and elastic waves, despite compliance with the required integral conditions on the mass, moment of inertia and natural oscillations of the Earth, does not ensure the reliability of results on the structure and composition of the Earth's core. S. Subbotin Institute of Geophysics of the NAS of Ukraine 2017-03-01 Article Article application/pdf https://journals.uran.ua/geofizicheskiy/article/view/94012 10.24028/gzh.0203-3100.v39i1.2017.94012 Geofizicheskiy Zhurnal; Vol. 39 No. 1 (2017); 79-96 Геофизический журнал; Том 39 № 1 (2017); 79-96 Геофізичний журнал; Том 39 № 1 (2017); 79-96 2524-1052 0203-3100 ru https://journals.uran.ua/geofizicheskiy/article/view/94012/195718 Copyright (c) 2020 Geofizicheskiy Zhurnal https://creativecommons.org/licenses/by/4.0
spellingShingle Earth's core
high pressure
instability
elastic waves with actual velocity
Guliyev, H.H.
Analysis of results of interpretation of elastic parameters of solid core of the Earth from the standpoint of current geomechanics
title Analysis of results of interpretation of elastic parameters of solid core of the Earth from the standpoint of current geomechanics
title_full Analysis of results of interpretation of elastic parameters of solid core of the Earth from the standpoint of current geomechanics
title_fullStr Analysis of results of interpretation of elastic parameters of solid core of the Earth from the standpoint of current geomechanics
title_full_unstemmed Analysis of results of interpretation of elastic parameters of solid core of the Earth from the standpoint of current geomechanics
title_short Analysis of results of interpretation of elastic parameters of solid core of the Earth from the standpoint of current geomechanics
title_sort analysis of results of interpretation of elastic parameters of solid core of the earth from the standpoint of current geomechanics
topic Earth's core
high pressure
instability
elastic waves with actual velocity
topic_facet Earth's core
high pressure
instability
elastic waves with actual velocity
url https://journals.uran.ua/geofizicheskiy/article/view/94012
work_keys_str_mv AT guliyevhh analysisofresultsofinterpretationofelasticparametersofsolidcoreoftheearthfromthestandpointofcurrentgeomechanics