Mirenkov V. E., Evstigneev D. S. – Institute of Mining, the Siberian Branch of RAS, Novosibirsk, the Russian Federation. E-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

The problem on the plane weakened by a straightline final fracture, is widely used in different sciences due to
the analytical character of the solution. Analytical solution to the problem on a fracture is obtained for a weightless plane,
so a need arises to consider the factor of the dead rock weight influence on the solution. The phenomenological model
is proposed for deforming the rocks in the vicinity of crack. This model takes into account the own weight of rocks and
describes their action which does not coincide with the direction of compression stresses on the upper crack edge in the
upper half-plane; in the lower half-plane, these directions coincide. In-situ measurements of crack edge displacements
are used, and a dimensionless parameter characterizing the upper edge-to-lower edge displacement ratio for one and
the same crack point before deformation is introduced. The parameter is determined experimentally. To account for
additional information obtained from redetermination of boundary conditions implies to solve inverse problems in view of
impracticability of a classical solution.

Key words: crack; rock weight; inverse problems; displacements; stresses.

REFERENCES
1. Irwin C. R. The crack-extension force for a crack at free surface boundary. Report No. 5120. Naval Research Lab.
1958, pp. 613-627.
2. Bowie O. L., Neol D. M. Single edge cracks in rectangular tensile sheet, Transe. ASME. Ser. E. S. Appl. Mech. 1965,
vol. 32, no. 3, pp. 708–719.
3. Stallybrass A. M. P. A crack perpendicular to an elastic half-plane. Int. J. Enging. Sci., 1970, vol. 8, no. 5, pp. 351–362.
4. Hasebe N., Chen Y. An edge crack problem in a semi-infinite plane subjected to concentrated forces. Applied Math.
and Mech., 2001, vol. 22, no. 1, pp. 1279–1290.
5. Mirenkov V. E. Finite stress in fracture mechanics. Engineering Fracture Mechanics, 1994, vol. 48, no. 1, pp. 63–68.
6. Mikhlin S. G. [Regarding the stresses within rock over the coal bed]. Izvestiya Akademii naik SSSR. OTN – News of
the Academy of Sciences of the USSR. Department of Technical Sciences, 1942, no. 7–8, pp. 13–28. (In Russ.)

Kozin V. Z., Komlev A. S. – The Ural State Mining University, Ekaterinburg, the Russian Federation.
E-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
All the analyzers of weight mass in flux single out and analyze a part of the material of a flux, which is equivalent to
the sample selected with the method of longtitudal sections. Such sampling is equivalent to sampling from a well-stirred
massif where inaccuracy depends on the mass of a sample. The analyzed mass depends on the conditions of the
analysis and can be hundreds of grams for pulps, whereas for lumpy products – kilograms. Pit sample is represented
by the mass of the material analyzed in the fixed period of the analysis, when the quantity of pit samples is the function
of break duration between the measurements (analyses). Random inaccuracy of pulp analyzers, depending on the
mass of the analyzed material, can be associated with inaccuracies acquired in sampling with the method of longtitudal
sections. When analyzing a large amount of pit samples, random inaccuracy can be significantly decreased. Random
inaccuracy of analyzers of ore fluxes at the conveyors, depending on the mass of the analyzed material, is high and
becomes acceptable only under averaging of a large amount of pit samples. Under the use of the method of longtitudal
sections, systematic inaccuracy can be totally excluded.

Key words: analyzers of ore fluxes; the method of longtitudal sections; sampling inaccuracy.

REFERENCES
1. Kozin V. Z., Komlev A. S. [Combined method of concentration products sampling and the equipment for its
realization]. Obogashchenie rud – Ore Concentration, 2014, no. 3, pp. 28–32. (In Russ.)
2. Morozov Iu. P., Kozin V. Z., Komlev A. S., Fal'kovich E. S. [Equipment and technologies for sampling and sample
preparation at concentrating plants]. Gornyi zhurnal – Mining Journal, 2015, no. 8, pp. 76–81. (In Russ.)
3. Morozov V. V., Topchaev V. P., Ulitenko K. Ia., and others. Razrabotka i primenenie avtomatizirovannykh sistem
upravleniia protsessami obogashcheniia poleznykh iskopaemykh [Development and use of automated control systems
over the processes of mineral concentration]. Moscow, Ruda i Metally Publ., 2013. 507 p.
112 «Известия вузов. Горный журнал», № 7, 2017 ISSN 0536-1028
4. Kozin V. Z. Oprobovanie mineral'nogo syr'ia [Mineral raw materials sampling]. Ekaterinburg, UrSMU Publ.,
2011. 316 p.
5. Bondarenko A. V. [Regarding the metrological certification of automated systems of analytical control at mining
concentration plants]. Obogashchenie rud – Ore Concentration, 1990, no. 2, pp. 37–40. (In Russ.)
6. Ol'khovoi V. A., Gorshkov Iu. V. [Automated system of analytical control over the concentration industries].
Obogashchenie rud – Ore Concentration, 2002, no. 3, pp. 45–47. (In Russ.)
7. Zaitsev V. A., Makarova T. A., Barkov A. V., Bakhtiiarov A. V., Moskvin L. N. [Non-destructive examination of
the content of polymetallic ore and the products of concentrating cycle]. Tsvetnye metally – Non-ferrous Metals, 2006,
no. 8, pp. 60–67. (In Russ.)

• Цыпин Евгений Федорович

Efremova T. A., Tsypin E. F., Ovchinnikova T. Iu. – The Ural State Mining University, Ekaterinburg, the Russian Federation. E-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
Mamonov S. V. – OAO “Uralmekhanobr”, Ekaterinburg, the Russian Federation. E-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
Elizarov D. B. – Ural State University of Economics, Ekaterinburg, the Russian Federation.

For the operating and designed factories of low and medium capacity, efficient solution for the compensation of
valuable components content consists in the preliminary concentration. For polymetallic ore, it is reasonable to use
X-ray fluorescence separation, which makes it possible to calculate the content of several valuable components in the
sorted lumps. The work studies the possibility of using X-ray fluorescence separation for preliminary concentration of
polymetallic ore at Korbalikhinsky deposit. At the initial stage of the study, the separation thresholds have been chosen,
the flowsheet for testing has been determined, and various modes of concentration have been studied. It has been
determined that, under the use of X-ray radiometric separation it is possible to educe 20–25% final tailings towards
the initial mass of ore. At that, copper, lead, and zinc valuable components losses range within the limits of 2.0–3.8%,
0.3–0.9%, 0.4–1.0% correspondingly. The development of the algorithm of division by means of introducing weight
coefficients into the analytical parameter, which take into account the relative value of the components, will make it
possible to improve technological indices of X-ray radiometric separation.

Key words: polymetallic ore; X-ray radiometric separation; division algorithm; analytical parameter; concentration mode;
the spectrum for the secondary characteristic X-ray radiation.

REFERENCES
1. Tsypin E. F. Obogashchenie v stadiiakh rudopodgotovki: nauch. monografiia [Scientific monograph “Concentration
in the stages of ore dressing”]. Ekaterinburg, UrSMU Publ., 2015. 303 p.
2. Pestov V. V. [Development and use of program-methodical supply of X-ray fluorescence separation of mineral and
technogenic raw material]. Gornyi zhurnal – Mining Journal, 2011, no. 8, pp. 111–117. (In Russ.)
3. Fedorov M. Iu. [New engineering solutions, which provide the increase in the efficiency of the equipment and
technologies with the use of X-ray fluorescence separation]. Gornyi zhurnal – Mining Journal, 2011, no. 8, pp. 103–110.
(In Russ.)
4. Efremova T. A., Sharafutdinova A. N., Ovchinnikova T. Iu., Koltunov A. V. [Prerequisites for the preliminary
concentration of polymetallic ore]. Nauchnye osnovy i praktika pererabotki rud i tekhnogennogo syr'ia: mater. ХХI
nauch.-tekhn. konf. (6–7 aprelia 2016 g.) [Proc. 21st Sci. Tech. Conf. “Scientific Fundamentals and the practice of
ore and technogenic raw material processing” (April 6th–7th, 2016)]. Ekaterinburg, Fort-Dialog-Iset' Publ., 2016,
pp. 296–300. (In Russ.)
ISSN 0536-1028 «Известия вузов. Горный журнал», № 7, 2017 119
5. Tsypin E. F., Ovchinnikova T. Iu., Pestov V. V., Fedorov M. Iu. [Algorithms of X-ray fluorescence separation of
multicomponent ore]. IV Ural'skii gornopromyshlennyi forum: mater. nauch.-tekhn. konf. (12–14 oktiabria 2011 g.)
[Proc. Sci. Tech. Conf. “4th Ural Mining Forum” (October 12th–14th, 2011)]. Ekaterinburg, UrSMU Publ., 2011,
pp. 55–58. (In Russ.)
6. Tsypin E. F., Tiuiusheva N. M., Komlev S. G., Arzhannikov G. I., Beliakov V. A. [X-ray radiometric separation of
copper-zinc ore]. Tsvetnye metally – Non-Ferrous Metals, 1992, no. 12, pp. 58–61. (In Russ.)
7. Fedorov Iu. O., Kantser I. U., Korenev O. V., Korotkevich V. A., Tsoi V. P., Kovalev P. I., Popovskii N. S. [Experience
and practice of X-ray radiometric separation of ore]. Izvestiya vysshikh uchebnykh zavedenii. Gornyi zhurnal – News of
the Higher Institutions. Mining Journal, 2005, no. 5, pp. 21–37. (In Russ.)
8. Shemiakin V. S., Tsypin E. F., Fedorov Iu. O., and others. Teoriia i praktika rentgenoradiometricheskogo
obogashcheniia [Theory and practice of X-ray radiometric concentration]. Ekaterinburg, Fort-Dialog Iset Publ.,
2013. 255 p.
9. Sanakulov K. S., Rudnev S. V. [Complex of X-ray radiometric concentration of sulphide ore at Kokpatas mine].
Gornyi vestnik Uzbekistana – Mining News of Uzbekistan, 2010, no. 1(40), pp. 3–7.
10. Sanakulov K. S., Rudnev S. V., Kantsel' A. V. [Concerning the possibilities of Uchkulach field development with
the use of lead-zinc ore X-ray radiometric concentration technology]. Gornyi vestnik Uzbekistana – Mining News of
Uzbekistan, 2011, no. 1(44), pp. 17–20.
11. Kolesaev V. B., Litvinenko V. G., Kultyshev V. I. [Mixed technology of poor uranium ore processing]. Gornyi
zhurnal – Mining Journal, 2008, no. 8, pp. 50–53. (In Russ.)
12. Tsypin E. F., Shemiakin V. S., Skopov S. V., Fedorov Iu. O., Pestov V. V., Ental'tsev E. V. [Concentration process
of mineral and technology-related raw material with the use of X-ray radiometric separation]. Stal' – Steel, 2009, no. 6,
pp. 75–78. (In Russ.)
13. Tsypin E. F. Informatsionnye metody obogashcheniia poleznykh iskopaemykh: ucheb. posobie [School book
“Information methods of mineral concentration”]. Ekaterinburg, UrSMU Publ., 2015. 206 p.
14. Tsypin E. F., Ovchinnikova T. Iu., Efremova T. A., Pestov V. V. [Flowsheets for preliminary concentration of
multicomponent ore drawing]. Obogashchenie rud – Mineral Processing, 2016, no. 5, pp. 8–13. (In Russ.)

Ostrovskii V. G., Zverev V. Iu. – Perm National Research Polytechnic University, Perm, the Russian Federation. E-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
Design and operation principle of stand unit for testing stages of electric-centrifugal pumps (ECPs) are described.
Methodological framework for conducting accelerated life testing of ECPs is set out, which make it possible to fulfill
qualitative assessment of the service life of stages of submersible electric-centrifugal pumps of various designs.
Examination of experimental and pre-production ECPs stages samples operation at the laboratory stand at artificially
created and severe conditions of the submersible pump exploitation provides identification and timely elimination of
technological and structural defects of items on test. At that, material and time expenditures for the laboratory research
are significantly lower than for the implementation of field tests. The use of verified and high-precision measuring
instrumentation in the process of ECPs testing makes it possible to determine hydraulic and energy characteristics of
existing and experimental stages of centrifugal pumps stages in real-time mode.

Key words: electric-centrifugal pump; oil production; stand unit; accelerated life testing; reliability.

REFERENCES
1. Ostrovskii V. G., Peshcherenko S. N. [Calculation of the speed of hydroabrasive wear of interstage seals of an oil
pump]. Vestnik PNIPU. Geologiia. Neftegazovoe i gornoe delo – Perm Journal of Petroleum and Mining Engineering,
2012, no. 5, pp. 70–75. (In Russ.)
2. Shishliannikov D. I., Sof'ina N. N. [Substantiation of rational method of control over work and technical condition
parameters of sucker-rod well pumps]. Izvestiya vysshikh uchebnykh zavedenii. Gornyi zhurnal – News of the Higher
Institutions. Mining Journal, 2016, no. 4, pp. 82–88. (In Russ.)
3. Sof'ina N. N., Shishliannikov D. I., Grishina I. O., Kornilov K. A. [In-service inspection and diagnosis of equipment
over the parameters of electric drive power supply by the example of rod oil-well pumping units]. Gornoe oborudovanie
i elektromekhanika – Mining Equipment and Electromechanics, 2015, no. 9, pp. 26–31. (In Russ.)
4. Ostrovskii V. G., Peshcherenko S. N., Kaplan A. L. [Methods of modeling hydroabrasive wear of oil pump stages].
Gornoe oborudovanie i elektromekhanika – Mining Equipment and Electromechanics, 2011, no. 12, pp. 38–42.
(In Russ.)
5. Zvonarev I. E., Ivanov S. L., Shishliannikov D. I., Fokin A. S. [Examination of metal surface hardness in the areas of
excessive wear and destruction of the details of mining machinery]. Vestnik PNIPU. Geologiia. Neftegazovoe i gornoe
delo – Perm Journal of Petroleum and Mining Engineering, 2014, vol. 13, no. 11, pp. 67–76. (In Russ.)