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

London Journal of Engineering Research
Volume | Issue | Compilation
Authored by Victor Borisov , NA
Classification: FOR code- 040401
Keywords: deformation, fracture, cracking coefficient, electromagnetic radiation, time-andspectrum analysis, time-and-spatial analysis, logarithmic scale invariance, two-dimensional waves, breather, self-similarity, self-organization, Gutenberg – Richter law.
Language: English

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 “High Frequency Trace” in the author’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 “High Frequency Trace”, is an analog of the Gutenberg – Richter law for microscales.

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