The Features of the Propagation of Elastic Waves in Isotropic Media at High and Ultra-High Pressures

Guliyev, Hatam H.

doi:10.17721/1728-2713.79.04

Cited by 1 publication

(4 citation statements)

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“…This remark remains valid also in relation to the interpretation of experimental results. The problems related to modern geodynamic changes in the geological medium are stated and the fundamental role of deformation is shown in such studies (Guliyev, , , , ; Labrosse, ).…”

Section: Methodsmentioning

confidence: 99%

“…Simple analytical expressions have been obtained using simple elastic potentials to calculate the pressure and propagation velocities of elastic pressure and shear waves in deformable isotropic media for small and large deformations (Kuliev & Jabbarov, ; Kuliev & Jabbarov, ; Guliyev, , , ). For example, the following nonlinear acoustoelastic correlations have been obtained to determine real velocities of elastic wave propagation in nonlinearly deformed isotropic media within the theory of large initial deformations:

\frac{ρ}{ρ_{0}} C_{l} = C_{l 0} {(1 + n_{0} ε_{0} + n_{1} ε_{0}^{2} + n_{2} ε_{0}^{3})}^{\frac{1}{2}},

\frac{ρ}{{normalρ}_{0}} C_{normals x_{2}} = \frac{ρ}{{normalρ}_{0}} C_{normals x_{3}} = C_{so} {(1 + {normaln}_{3} {normalε}_{0} + {normaln}_{4} {normalε}_{0}^{2} + {normaln}_{5} {normalε}_{0}^{3})}^{\frac{1}{2}},

С_{lo} = ()(, \frac{λ + 2 μ}{ρ_{0}}); C_{so} = {(\frac{μ}{ρ_{0}})}^{\frac{1}{2}}

…”

Section: A Description Of the Datamentioning

confidence: 99%

“…Further, the construction of Birch's diagram is separately considered taking into account a sufficiently wide range of deformation changes for various materials. The results of the geomechanical analyses in Guliyev (2017aGuliyev ( , 2017bGuliyev ( , 2018a are considered, and the NLA of nonlinear elastodynamics is involved. Birch's diagram graphically reflects the dependence of the velocity of compressional elastic waves on the increase in density (Birch, 1952;Martorell et al, 2013).…”

Section: Birch's Diagrammentioning

confidence: 99%

“…The internal structure of the initially isotropic medium is rearranged into a moving line, and the initial stresses will affect the propagation of compressional and shear waves. Moreover, elastic waves cannot propagate in a solid medium at the real velocity under such conditions (Guliyev, , , , ). These deformation processes should be considered in complex interpretations of seismological and laboratory (experimental) data.…”

Section: Introductionmentioning

confidence: 99%

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Once Again on Preliminary Reference Earth Model

Guliyev

Javanshir

2020

Earth and Space Science

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We studied the isotropic ball using data of Preliminary Reference Earth Model (PREM). It is shown that such a ball should be either destructed or gone into a more stable equilibrium state with uneven distributed deformation under thermobaric condition of the inner core. Body elastic waves with real velocities cannot propagate in it. This manuscript is devoted to study the situation from the standpoint of nonlinear geomechanics. A number of necessary principles of Mechanics of Deformable Solid Body (MDSB) is given at the beginning of the analysis. A brief review of the published latest experimental work is performed. It is established that proper attention to the role of the MDSB principles in micro‐scale (nano) experiments of the physical level has not been given. Deformation properties of solid bodies are emphasized in microscale and macroscale. Application of linear acoustoelasticity and extrapolation of Birch's linear law of the inner core and use of an idea on variability of elasticity moduli with the increase of pressure and temperature have contributed to obtained pseudo data for the geological medium of the Earth's core instead of linear data on the physicomechanical properties. It is proposed that parallel to elimination of the indicated disadvantages, collection, processing and interpretation should be performed using nonclassically linearized approach. This set of necessary actions is offered as the “key” of geomechanical analysis. The proper application will allow conducting similar analysis concerning other solid‐state structures of the Earth.

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Section: Methodsmentioning

confidence: 99%