Experimental and theoretical framework of nonlinear geotomography. Part II: Dynamic and kinematic characteristics of pendulum waves in high-stress geomedia and processes of seismic emission

In continuation of the expert analysis, review and generalization of the modern scientific achievements in nonlinear geomechanics and geophysics in Part I of this article, with a view to justifying a new trend in the geosciences and in mining, namely, Foundations of Nonlinear Geotomography Using Pendulum Waves, this Part II of the article focuses on the identification of a basic «formula designer» for processing of an integrated experimental information to estimate dynamic and kinematic characteristics of pendulum waves, on determination of energy criterion of pendulum wave origination and travel in the predominant field of stresses and strains, on finding the connection between the pendulum waves and Pand S-waves, induced earthquakes, blasts and other mechanical sources of nonlinear deformation–wave, seismic–emission, massand gas-exchange and physicochemical processes in high-stress blocky geomedia and geomaterials with complex internal structure. In this respect, the major role belongs to some research findings obtained by this article co-authors and published earlier though «discretely and conceptually unrelated.» The same is valid for the important results of the other researchers quoted in this article. The formalized connections between the dynamic and kinematic characteristics of the nonlinear elastic pendulum waves in highstress geomedia with hierarchical block structure are presented with regard to energy characteristics of the pendulum wave sources as well as elastic moduli of rocks (Lamé coefficient, density of structural elements of geomaterials, Poisson’s ratio, Young’s modulus). The spectroscopic analysis theory is developed for the connections between the amplitudes and periods of the elastic pendulum wave packets and their material carriers—geoblocks on the correspondent hierarchical levels, as well as with the levels of the emitted seismic energy on the canonical scale of hierarchical representations. The example records of the nonlinear deformation–wave processes—«carriers» of pendulum waves—in situ and in loading tests of different geomaterials to failure are given in the article.

Keywords: Nonlinear geotomography, mathematical and mechanical frameworks, pendulum waves, hierarchical block structure, spectroscopy, dynamic and kinematic characteristics, stress–strain analysis, energy condition of initiation and travel of pendulum waves, canonical connection between seismic energy emission and geoblock sizes, rock mass, emission sources.

For citation:

Oparin V. N., Adushkin V. V., Vostrikov V. I., Yushkin V. F., Kiryaeva T. A. Experimental and theoretical framework of nonlinear geotomography. Part II: Dynamic and kinematic characteristics of pendulum waves in high-stress geomedia and processes of seismic emission. MIAB. Mining Inf. Anal. Bull. 2019;(11):5-26. [In Russ]. DOI: 10.25018/0236-1493-2019-11-0-5-26.

Acknowledgements:

The study was supported by the Russian Science Foundation, Project No. 17-17-01282.

About authors:

V.N. Oparin¹, Corresponding Member of Russian Academy of Sciences, Dr. Sci. (Phys. Mathem.), Professor, Head of Department,

e-mail: oparin@misd.ru,

V.V. Adushkin¹, Аcademician of Russian Academy of Sciences, Advisor of Russian Academy of Sciences, Dr. Sci. (Phys. Mathem.), Institute of Geosphere Dynamics of Russian Academy of Sciences, 119334, Moscow, Russia, e-mail: adushkin@idg.chph.ras.ru,

V.I. Vostrikov¹, Cand. Sci. (Eng.), Head of Laboratory, e-mail: vvi49@mail.ru,

V.F. Yushkin¹, Dr. Sci. (Eng.), Leading Researcher, e-mail: L14@ngs.ru,

Kiryaeva¹, Cand. Sci. (Eng.), Senior Researcher, e-mail: coalmetan@mail.ru,

¹ Chinakal Institute of Mining of Siberian Branch

of Russian Academy of Sciences, 630091, Novosibirsk, Russia.

For contacts:

V.N. Oparin, e-mail: oparin@misd.ru

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