Abstract
This paper proposes a model for determining the characteristics of the evolution of the microcrack field in a loaded rock sample from electromagnetic radiation signals. Calculations were made, whose results were summarized in the form of spatial-temporal tables. Factors determining changes in the hierarchy of microcracks were established. The adequacy of the model was verified using the Zhurkov concentration criterion. Regions of scale invariance were revealed in graphs of the concentration of microcracks versus their size in logarithmic coordinates.
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A. S. Alekseev, B. M. Glinskii, V. V. Kovalevskii, and M. S. Khairetdinov, “Theoretical and Experimental Basis for Studying Dilatancy Zones by Vibroseismic Methods,” in Proc. of Int. Conf. on Mathematical Methods in Geophysics MMG-2008, Novosibirsk, October 13–15, 2008 (Inst. of Comput. Math. and Math. Geophys., SB RAS, 2008), pp. 10–15.
G. A. Sobolev, “Investigation of the Formation and Precursors of Shear Rupture under Laboratory Conditions,” in Search for Earthquake Precursors (Inst. of Phys. of the Earth, Moscow, 1978), pp. 86–99.
S. N. Zhurkov. V. S. Kuksenko, and V. A. Petrov, “On the Prediction of Rock Fracture,” Izv. Akad. Nauk SSSR, Fiz. Zemli, No. 8, 11–18 (1977).
V. D. Borisov, “Time-and-Spectrum Analysis to Study Rock Failure Dynamics,” Fiz.-Tekhn. Probl. Razrab. Polezn. Izkop., No. 4, 49–59 (2005).
V. D. Borisov, “Fractal Properties of the Spectral Characteristics of Electromagnetic Radiation during Fracture of Rocks and Structural Materials,” Fiz.-Tekh. Probl. Razrab. Polezn. Izkop., No. 2, 55–69 (2007).
D. V. Alekseev and P. V. Egorov, “On the Shape of Electromagnetic Pulses Generated by Moving Cracks,” Fiz.-Tekh. Probl. Razrab. Polezn. Izkop., No. 6, 3–5 (1993).
J. P. Den Hartog, Mechanical Vibrations (Dover Publications, New York, 1985).
A. A. Bespal’ko, L. V. Yavorovich, and P. I. Fedotov, “Relationship between the Parameters of Electromagnetic Signals and the Electrical Characteristics of Rocks during Acoustic and Quasi-Static Effects,” Izv. Tom. Gos. Politekh. Univ. 308 (7), 1–6 (2005).
A. D. Zav’yalov “From the Kinetic Theory of Strength and the Concentration Fracture Criterion to the Density of Seismogenic Fracture and Earthquake Prediction,” Fiz. Tverd. Tela 47 (8), 1000–1007 (2005).
J. P. Claerbout, Fundamentals of Geophysical Data Processing as Applied to Oil Exploration (Nedra, Moscow, 1981) [Russian translation].
K. Rothammel, Antennas (Energiya, Moscow, 1969) [Russian translation].
N. A. Ryazantsev and N. A. Ryazantseva, “Causes of Invariance in the Mechanism of Rock Deformation,” in Modern Aspects of Mechanization and Automation Productions, Proc. of Scie. and Practical Conf., Krasnoarmeisk, April 28, 2011 (Krasnoarmesik Indust. Inst., Donetsk National Technical University, Krasnoarmesik, 2011), pp. 1–6.
A. V. Petukhov, I. V. Shelepov, A. A. Petukhov, and A. I. Kuklin, “Power Law and the Self-Similarity Principle in Studies of Fractured Oil and Gas Reservoirs and Hydrodynamic Modeling of the Development Process,” Neftegaz. Geolog. Teor. Prakt. 7 (2), 1–21 (2012).
B. B. Mandelbrot, The Fractal Geometry of Nature, (W. H. Freeman, New York, 1983).
Ya. Frenel’ and T. Kontorova, “On the Theory of Plastic Deformation and Twinning,” Fiz. Zh., No. 1, 137–139 (1939).
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Original Russian Text © V.D. Borisov.
Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 59, No. 1, pp. 129–137, January–February, 2018.
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Borisov, V.D. Determining the Parameters of Microcracks from Their Electromagnetic Radiation Signals. J Appl Mech Tech Phy 59, 112–119 (2018). https://doi.org/10.1134/S0021894418010145
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DOI: https://doi.org/10.1134/S0021894418010145