Gorobets L.J., Verhorobina I.V. Regularities of formation of geological material particles granulometry at their destruction

Geoteh. meh. 2018, 140, 50-60

DOI:  https://doi.org/10.15407/geotm2018.03.050

REGULARITIES OF FORMATION OF GEOLOGICAL MATERIAL PARTICLEs GRANULOMETRY AT THEIR DESTRUCTION

1Gorobets L.J., 2Verhorobina I.V.

1National Technical Univercity «Dnepr Polytechnic»,2Institute of Geotechnical Mechanics named by N. Poljakov of National Academy of Sciences of Ukraine

UDC [622.02: 539.2/8]: 620.174.24

Language: Russian

Abstract.

The purpose of work consists of generalization of conformities to the law of forming of distributing of particles on sizes at destruction (growing shallow) of materials from positions of new  discoveries in physics of destruction and modern knowledges about development  of fragmentation in loaded geomateryal, in particular, taking into account discretely-wave nature of matter, аutoresonance mechanism of destruction (dispersion) and fractal law about the polymodal distributing of particles on sizes. The laws of formation of by-size distributions of crushed particles at geomaterial destruction are considered with taking into account bonds, which determine structure and level of energy accumulation to the moment of the solid disintegration into fragments and partings. An important factor in the microcrack interaction and coalescence is heterogeneity of the loaded body structure. Physical principles, criteria and parameters of the fragmentation development under geological material loading are substantiated. The leading part in development of dispersion effects is assigned to the autoresonance stage. Principle of self-similarity of destruction at any scale level sets the relationship between the length of acoustic waves during discontinuities and the length of cracks. Scientific background for the study of the destroyed particle granulometry is formulated. A new approach for solving the problem under the study assumes the use of interrelations between discrete-wave criterion for microdestruction and the dispersion process. A physical explanation is given to the pattern of appearance of maxima in curves of the particle distribution by their sizes. The process of forming the particle distribution by size during destruction (crushing, grinding) is realized through the pattern of geometric progression for some typical particle sizes, the basis for which is value of criterion of discrete-wave microfracture Вl= 2,1–3,1. The examples of the study confirm principle of similarity of the crack and parting distributions. Since typical sizes of the formed particles are multiples of the value of Вl, it seems appropriate, when evaluating the crushed products granulometry, to keep a value of the classification module at the level of discrete-wave criterion of microfracture. 
Key words: geological materials, crack, fracture, discrete-wave criterion, grinding, granulometry.

References:

1. Kuksenko, V.S. (1977), «Miсromeсhaniсs destruction of materials», Abstract of D.Sc.dissertation, Solid state physics, Institute  of high molecular compoundsof, Leningrad, SU.

2. Kuksenko, V.S. (1984) “Kinetic aspects of the process of destruction and the physical basis of its prediction”, Earthquake prediction, no 4. pp. 8-20.

3. Bovenko, V.N. (1986) “The main provisions of the self-oscillatory model of the pre-destructive state of solids”, Reports of the Academy of Sciences USSR, Vol. 286, no 5, pp. 1097-1101.

4. Bovenko, V.N. (1990), «The synergetics effects  and  conformities  to law of relaxation vibrations in a state of pre-destruction of solid», Abstract of Ph.D. dissertation, Solid state physics, Moscow Institute of Electronics and Mathematics, Moscow, SU.

5. Bovenko, V.N. and Gorobets ,L.Zh. (1986), “Application of the self-oscillation theory of fracture to predict the energy intensity of the grinding process of solid bodies”, Physical and technical problems of mining, no 1, pp. 106-111.

6. Gorobets, L.Zh. (2004), «Development of scientific foundation for the solid  minerals grinding», Abstract of D.Sc. dissertation, Mineral dressing, National Mining University, Dnepropetrovsk, Ukrane.

7. Gorobets, L.Zh. and Verkhorobina, I.V. (2017), «Energy transformation at the stage of dispersion of loaded geomedia», Geotekhnicheskaya Mekhanika [Geo-TechnicalMechanics], no. 136, pp. 107-115.

8. Chuprynin, V.I. (1983), Razryvnye kolebaniya v geophizicheskikh sistemakh [Break self-excited oscillations in geophysical sistems], Nauka, Moskow, SU.

9. Gorobets, L.Zh. and Verhorobina, I.V. (2016), “Principles and indexes of functioning of geological environment at a ladening”, Geotekhnicheskaya Mekhanika [Geo-TechnicalMechanics], no. 129, pp. 122-135.

10. Bovenko, V.N. and Gorobets, L.Zh. (1987), “About the display of discreteness of solids”, RAS  of the USSR, vol. 292, no. 5, pp. 1095-1100.

11. Geylikman, M.B. and Pisarenko, V.F. (1989), O samopodobii v geofizicheskikh yavleniyakh. Diskretnyye svoystva geofizicheskoy sredy [About selfsimilarity in the geophysical phenomena. Discrete properties of geophysical environment], in Sadovskyi M.A. (ed.), Nauka, Moscow, SU.

12. Petrov, V.A. and Gorobec, L.Zh. (1987), “The size effect of concentration  threshold of destruction”, Izvestiya AN USSR. Physics of earth, no. 1, pp. 95-98.

13. Vettegren, V.I., Kuksenko, V.S. and Tomilin, N.G. (2004), “Kinetics and hierarchy of process of accumulation of cracks in heterogeneous materials”, Geological dynamics and tense state of bowels of Earth, vol. 25, рр. 373-377.

14. Luty, A.I. and Popovchenko, S.E. (2005), Stroyeniye Zemli i geologicheskiye protsessy v svete relaksatsii uprugoy energii veshchestva nedr [Structure of Earth and geological processes in the light of relaxation of resilient energy of substance of bowels of the earth], NMU, Dnepropetrovsk, UA.

15. Bovenko, V.N. and Startsev, V.M. (1995), “Discrete-wave nature of the supramolecular organization of an amorphous polymer”, High molecular weight compounds,  no. 6, vol. 36, pp. 1004 –1008.

16. Bovenko, V.N., Gerasimov, R.U. and Gorobets, L.Zh. (2010), “Radio-location spectroscopy of foods of the overmicronizing”, Chast’ 2. Nanofizika i nanotekhnologii. Fundamental'nyye problemy nauki[Part 2. Nanophysics and nanotechnologies. Fundamental problems of science], National Research Nuclear University "Moscow Engineering Physics Institute", Moscow, Russia, pp. 73-74.

17. Gorobets, L.Zh., Shulyak, I.A. and Verhorobina, I.V. (2005), “Methods of research and evaluation of indicators of dispersion of rocks”,  Bulletin of the National Technical University “Kharkiv Polytechnic Institute”, no. 51, p. 132-138.

18. Bovenko, V.N. and Gorobets, L.Zh. (2008), “Discrete-wave nature of dispergating”, Naukoviy visnik NGU, no. 1, pp. 7-9.

About the authors:

Gorobets Larisa Zhanovna, Doctor of Technical Sciences (D.Sc), Professor, National Technical University «Dnipro Polytechnic» (NTU “DP”), Dnepr, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it.

Verkhorobina Inna Vladimirovna, Master of Sciences, Principal Engineer of Department of Geodynamic Systems and Vibration Technologies, Institute of Geotechnical Mechanics named by N. Poljakov of National Academy of Sciences of Ukraine (IGTM NASU), Dnepr, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it.