Microscale Phenomena of Logarithmic Invariance under Destruction of Rock Samples by Signals of their Electromagnetic Radiation

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Research ID 4T706

Abstract

The microscaled phenomena of the logarithmic invariant dependence of the number (concentration) of microcracks on their characteristic sizes during the destruction of marble and diabase samples, which were called ƒ??High Frequency Traceƒ? in the authorƒ??s early work, are analyzed. The ratios of the characteristic sizes of microcracks at the points of their increased concentration are calculated. The concept of the fracture coefficient, by electromagnetic radiation is introduced. The phenomenon of self-organization of an ensemble of microcracks was discovered. It is shown that the law, which obeys the sections of the dependences of the number of microcracks on their characteristic sizes on a double logarithmic scale for the phenomenon of the ƒ??High Frequency Traceƒ?, is an analog of the Gutenberg ƒ?? Richter law for microscales.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

Not applicable

Data Availability

The datasets used in this study are openly available at [repository link] and the source code is available on GitHub at [GitHub link].

Funding

This work did not receive any external funding.

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  • Classification

    FOR code- 040401

  • Version of record

    v1.0

  • Issue date

    07 December 2019

  • Language

    English

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