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ISSN 0536-1028 (Print)              ISSN 2686-9853 (Online)  

УДК 550.837 DOI: 10.21440/0536-1028-2021-8-34-44


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Introduction. The paper considers the theory and interpretation of pulse induction sounding that includes the formation measurement of the magnetic field created by a vertical magnetic dipole (VMD) over a layered medium or S-plane.
Research methods. A spectral calculation method with the numerical Fourier sine transform of the spectral function density was applied to study the non-stationary formation of the field. For the case of a homogeneous conducting half-space with the non-conducting upper half-space, it has been shown that magnetic field frequency and time characteristics change similarly, i.e. decrease equally, as the observation point depth increases.
Research results. The pulsed mode of changing the source current in the near-field zone of low frequencies or long transient periods, which are of primary interest in studying the geological section conducting properties, does not have advantages over the harmonic mode. By analyzing the behavior of a field with a source in the form of a vertical magnetic dipole, it is possible to formulate its limiting frequency and time cases. The nature of the magnetic field formation curve revealed that magnetic induction extrema values do not depend on the specific electrical resistance of the medium. However, their position in time is determined by the distance to the dipole and medium resistivity. For the known spacing for remote sounding, the dependence between the magnetic field extremum time and the medium resistivity is a way to estimate it.
Conclusions. In this work, the apparent resistivity for typical layered cross-sections of two-layer and three-layer media was calculated. It has been shown that the results for dipole magnetic field time and harmonic characteristics correspond to one another when studying inhomogeneous layered geoelectric sections.

Keywords: non-stationary electromagnetic field; remote inductive sensing; vertical magnetic dipole;
apparent electrical resistance.
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2. Gasanenko L. B. The field of vertical harmonical magnetic dipole over the surface of the multilayer
structure. Uchenye zapiski LGU. Voprosy geofiziki = Scientific Papers of the Leningrad State University.
Geophysics. 1959; 278: 164–173. (In Russ.)
3. Zaborovskii A. I. Alternating electromagnetic fields in electrical prospecting. Moscow:
MSU Publishing; 1960. (In Russ.)
4. Kraev A. P. The fundamentals of geoelectrics. Leningrad: Nedra Publishing; 1965. (In Russ.)
5. Zhdanov M. S. Electromagnetic theory and methods. Moscow: Nauchnyi mir Publishing, 2012.
(In Russ.)
6. Svetov B. S. The fundamentals of geoelectrics. Moscow: LKI Publishing; 2008. (In Russ.)
7. Kaufman A. A., Morozova G. M. Theoretical fundamentals of a near-field transient sounding
method. Novosibirsk: Nauka Publishing; 1970. (In Russ.)
8. Mogilatov V. S. Impulse geoelectrics. Novosibirsk: RITs NGU Publishing; 2014. (In Russ.)
9. Rabinovich B. I., Mogilatov V. S. Nonstationary field of submerged vertical magnetic dipole.
Geologiia i geofizika = Russian Geology and Geophysics. 1981; 3: 88–100. (In Russ.)
10. Sidorov V. A. Impulse inductive electrical prospecting. Moscow: Nedra Publishing; 1985.
(In Russ.)
11. Obukhov G. G. Some properties of non-stationary electromagnetic fields in the earth, and their
application in electrical prospecting. 1968; 9: 62–71. (In Russ.)
12. Bhattacharyya B. K. Electromagnetic fields of a transient magnetic dipole on the earth’s surface.
Geophysics. 1959; 24(1): 89–108.
13. Christensen N. B. Imaging of transient electromagnetic soundings using a scaled Frechet
derivative. In: Inverse methods interdisciplinary elements of methodology, сomputation and application.
Lecture notes in Earth sciences. Berlin: Heidelberg: Springerverlag, 1996. Vol. 20. P. 205–214.
14. Pracser E. Fast computing of transient electromagnetic field on the surface of a layered halfspace.
Geofizikai Kozlemenyek. 1992; 37(2–3): 159–176.
15. Wait J. R. Electromagnetic response of a thin layer. Electronics Letters. 1986; 22(17): 898–899.
16. Sheinman S. M. Formation of electromagnetic fields in the Earth. Prikladnaia geofizika = Applied
Geophysics. 1947; 3: 3–55. (In Russ.)
17. Vanian L. L. Fundamentals of electromagnetic sounding. Moscow: Nedra Publishing; 1965.
(In Russ.)
18. Ratushniak A. N., Teplukhin V. K. Theoretical and experimental fundamentals of induction survey.
Ekaterinburg: UB RAS Publishing; 2017. (In Russ.)
19. Arzamastsev E. V., Astafiev P. F., Baidikov S. V., Konoplin A. D., Ratushniak A. N. Inductive
sounding of layered earth. Izvestiya vysshikh uchebnykh zavedenii. Gornyi zhurnal = News of the Higher
Institutions. Mining Journal. 2020; 4: 21–31. (In Russ.)

УДК 622.44 DOI: 10.21440/0536-1028-2021-8-45-54


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Research relevance. The article proves the advisability of applying high-speed axial fan systems by aerodynamic configuration with one impeller for gas air-cooling units. 
Objective and methods of research. Equations for the efficiency factor of a fan system and a fan depending on flow kinematics and fan system geometry have been obtained by mathematically analyzing axial flow turbomachine main regularities.
Results. Based on the optimization theory, the formulae for maximum efficiency factor for a fan and a fan system of various specific speeds have been obtained depending on the flow coefficient and the impeller hub ratio. The method of creating the axial fan system aerodynamic configuration has been proposed for the K-type gas air-cooling units with the limiting maximum values of the efficiency factor for the prescribed values of the specific speed, impeller hub ratio, lift-to-drag ratio of the impellor profiles, airflow resistance coefficient of the flow channel, and the flow coefficient. The capability was shown to create the fan system with a speed exceeding 400 and efficiency of not less than 0.86.
Keywords: fan system; flow channel; input elements; output elements; efficiency factor; specific speed; lift-to-drag ratio; air-flow resistance coefficient.

 

REFERENCES

1. Abakumov A. M., Migachev A. V., Stepashkin I. P. Research of control system of apparatus of air
cooling of natural gas. Izvestiia vuzov. Elektromekhanika = Russian Electromechanics. 2016; 6: 130–134.
(In Russ.)
2. Rubtsova I. E., Mochalkin D. S., Kriukov O. V. (ed.) Basic directions and tasks of energy
conservation when reconstruct a compressor station. Compressor station equipment energy conservation
and automation: monograph. Vol. 3. Nizhny Novgorod: Vektor TiS Publishing; 2012. (In Russ.)
3. Abakumov А. М., Stepashkin I. P. Research of the adaptive automatic control system at the natural
gas air-cooling unit. IEEE Xplorе. 2017. Available from: doi: 10.1109/ ICIEAM.2017.8076297
4. Khvorov G. A., Iumashev M. V. Analysis of energy-saving technologies for gas cooling based on
air cooling units for gas transport at Gazprom PJSC. Territoriia “NEFTEGAZ” = Oil and Gas Territory.
2016; 9: 127–132. (In Russ.)
5. Kalinin A. F., Fomin A. V. Evaluating the effectiveness of air-cooler modes. Trudy RGU nefti i
gaza imeni I. M. Gubkina = Proceedings of Gubkin Russian State University of Oil and Gas. 2011; 4(265):
131–139. (In Russ.)
6. Torshizi S. A. М., Benisi А., Durali M. Multilevel optimization of the splitter blade profile in the
impeller of a centrifugal compressor. Scientia Iranica. 2017; 24: 707–714.
7. Brusilovskii I. V. Aerodynamic analysis of axial fans. Moscow: Mashinostroenie; 1986. (In Russ.)
8. Mao Y. F. Numerical study of correlation between the surge of centrifugal compressor and the
piping system. PhD in Engineering diss. Xi’an Jiaotong University, Xi’an. 2016.
9. Wu D., Yin K., Yin Q., Zhang X., Cheng J., Ge D., Zhang P. Reverse circulation drilling method
based on a supersonic nozzle for dust control. Applied Sciences (Switzerland). 2017; 7(1): 5–20. Available
from: https://doi.org/10.3390/app7010005
10. Lifanov A. V., Materov A. Iu., Makarov V. N., Serkov S. A., Makarov N. V. Perspective way to
improve the complex efficiency of air-cooling equipment. Neft. Gaz. Novatsii = Oil. Gas. Novation. 2020;
4(233): 14–17. (In Russ.)
11. Loitsanskii L. G. Fluid mechanics. Moscow: Drofa Publishing; 2003. (In Russ.)
12. Migachev A. V., Potemkin V. A., Stepashkin I. P. Parametric identification of gas air cooling device
as a controlling object. In: Current studies in humanities, natural and social sciences: Proceedings of the
8th All-Russian Research-to-Practice Conference with International Participation. Novosibirsk: TsRSNI
Publishing; 2016. p. 23–28. (In Russ.)
13. Abakumov A. M., Migachev A. V., Potemkin V. A., Stepashkin I. P. Estimating energy efficiency
of gas temperature automatic control system at compressor stations. In: Problems of Power Generation in
Oil and Gas Sector: Proceedings of Internat. Research-to-Practice Conference Ashirov Readings. Vol. 2.
Samara: SPI Publishing; 2016. p. 292–295. (In Russ.)
14. Kosarev N. P., Makarov N. V., Makarov V. N. A method of increasing pressure and efficiency of
propeller turbomachines. Patent RF no. 2482337; 2013. (In Russ.)
15. Makarov V. N., Boiarskikh G. A., Valiev N. G., Makarov N. V., Dyldin G. P. Turbomachine criteria
for similarity of natural size proportionality. Izvestiya vysshikh uchebnykh zavedenii. Gornyi zhurnal =
News of the Higher Institutions. Mining Journal. 2020; 8: 81–89. (In Russ.)

УДК 622.5; 622.58 DOI: 10.21440/0536-1028-2021-8-62-71


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Introduction. The article deals with the research of parameters and characteristics of mine drainage elements for conveying unlit mine water, evaluation of efficiency and rationality of using such transport complexes as loading-delivery machines, scraper winches, wagons for mechanized cleaning of drain sumps from settling and accumulating mine sludge. At present, the solution of this issue is a widespread task for operating services of mining enterprises. At the same time, it is a promising direction for scientific research.
Methods of research. The scientific and practical experience in the field of mining drainage was analyzed and generalized. Mine drain sumps and their principles operation were described. Drain sumps operation working cycle was calculated and described. Operational parameters for a mechanized method of cleaning with transport complexes were calculated. The effectiveness of the measures for cleaning drain sumps using the means of a mechanized complex were calculated and assessed by determining quantitative efficiency indicators in the form of time spent by load-haul machines and transport complexes for cleaning.
Results and analysis. The efficiency of transport complexes was evaluated by calculating the time of their use for non-productive work. The structural scheme of sequential operation of water collectors and the process of their treatment during the calendar time is developed. It is determined that the existing drain sumps currently perform the function of mine water clarification ineffectively. The interrelation of decreasing of operating time of elements of centrifugal drainage pumps and composition of pumped liquid has been established.
Scope of results. The results of the research are recommended for implementation for all enterprises conducting underground mining works with the use of mine drainage, as well as for design institutes designing mine workings.

Keywords: drain sump; transport complex; productive time.

 

REFERENCES

1. Dolganov A. V. Improving the efficiency of water drainage operation at copper-sulphide mines:
PhD in Engineering abstract of diss. Ekaterinburg: UrSMU Publishing; 2012. (In Russ.)
2. Olizarenko V. V., Mingazhev M. M. Main drainage in copper-sulphide deposits development in the
Southern Urals: monograph. Magnitogorsk: MSTU Publishing; 2010. (In Russ.)
3. Melnikov T. I. Analyzing the existing formulae for the determination of critical speed and hydraulic
slope in dredge piping. Trudy Magnitogorskogo gornometallurgicheskogo instituta = Proceedings of
Magnitogorsk Mining Metallurgical Institute. 1958; 15: 69–109. (In Russ.)
4. Rybakov A. N., Gabbasov B. M. Improving the efficiency of piston pumps when pumping off
the sludge. In: Kolokoltsev V. M. (ed.) Burning Issues of Modern Science, Technology, and Education:
Proceedings of the 72nd Interregional Scientific and Technical Conference. Magnitogorsk: 2014. Vol. 1.
p. 36–39. (In Russ.)
5. Mazhitov A. M., Kutlubaev I. M., Polovnev V. V., Prostikhin I. V. Developing the model of a
mining system for a complex deposit development. In: The Latest Achievements of Academic Scientific
Schools: Proceedings of the National Scientific Conference. Magnitogorsk; 2020. p. 169–171. (In Russ.)
6. Timukhin S. A., Ugol'nikov A. V., Petrovykh L. V., Stozhkov D. S., Lubinskii A. Iu. Mine drainage.
Patent RF no. 2472971; 2013. 4 p.
7. Spivakovskii A. O., Diachkov V. K. Transporting machines. Moscow: Mashinostroenie Publishing;
1983. (In Russ.)
8. Knoroz V. S. Hydraulic fluid motion in pressure lines and their analysis method. Izvestiia VNIIG =
Proceedings of VNIIG. 1941; 30: 256. (In Russ.)
9. Reference guide on hydraulic transport design. Promtransniiproekt. Moscow: Stroiizdat
Publishing; 1988. (In Russ.)
10. Zhang N., Gao B., Ni D., Liu X. Coherence analysis to detect unsteady rotating stall phenomenon
based on pressure pulsation signals of a centrifugal pump. Mechanical Systems and Signal Processing.
2021; 148. Available from: doi: 10.1016/j.ymssp.2020.107161
11. Cao P., Zhu R., Yin G. Spike-type disturbances due to inlet distortion in a centrifugal pump.
Renewable Energy. 2021; 165: 288–300. Available from: doi: 10.1016/j.renene.2020.11.060
12. Li Q., Li S., Wu P., Huang B., Wu D. Investigation on reduction of pressure fluctuation for a
double-suction centrifugal pump. Chinese Journal of Mechanical Engineering (English edition). 2021;
34(1). Available from: doi: 10.1186/s10033-020-00505-8
13. Pacello J., Pacello J. L. Solving the problems of pumping medium-to-high density paper stock.
World Pumps. 1997; 368: 68–71.
14. Mazhitov A. M. Assessment of the extent of man-induced transformation of a subsoil block in
upward mining using ore and host rock caving. Gornaia promyshlennost = Mining Industry. 2021; 4:
113–118. (In Russ.)
15. Mazhitov A. M., Volkov P. V., Krasavin A. V., Allaberdin A. B. Developing the technology for the
formation of an artificial array with specified geotechnical characteristics. Izvestiya vysshikh uchebnykh
zavedenii. Gornyi zhurnal = News of the Higher Institutions. Mining Journal. 2019; 2: 51–58. (In Russ.)

УДК 622.6 DOI: 10.21440/0536-1028-2021-8-55-61


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By studying this curve, it will be possible to find equivalent forces and, based on the comparative estimation, develop design recommendations for choosing the graph’s efficient shape. Trapezoidal and parabola graphs are most common. This research determines the equivalent force at a trapezoidal velocity graph.
Methods of research. The analytic calculation takes into account that the trapezoidal graph allows many velocities and accelerations not only at different, but also at constant values of the rise and travel time, whereas the parabola velocity graph does not. It greatly widens the possibilities for efficient dynamic modes selection. The non-isosceles property of a trapezoidal widens the possibilities still greater. The indicated properties of the trapezoidal graph were taken into account when deriving the estimated dependencies.
Research result. The kinematics of the mine winder vessel with a trapezoidal velocity graph is analyzed. Formulas have been obtained that allow to determine the root-mean-square and equivalent effort, suited for feasibility estimation a trapezoidal graph, without preliminary calculation a n d graphs of velocity, acceleration and force.
Conclusions. The trapezoidal velocity graph provides the possibility of a large choice of energetically expedient dynamic modes, since these modes depend not only on the frequency of operations, but also on graph’s degree of incompleteness and asymmetry coefficient. The kinematic and force dependencies obtained analytically make it possible to make a reasonable choice of the velocity graph when designing a mine winder.
Keywords: mine winder; equivalent force; root mean square force; hoisting speed; velocity graph; trapezoidal graph; velocity graph asymmetry.

 

REFERENCES

1. Bratchenko B. F. (ed.) Stationary plants in shafts. Moscow: Nedra Publishing; 1977. (In Russ.)
2. Fedorov M. M. Installation and setup of stationary plants in shafts. Moscow: Nedra Publishing;
1974. (In Russ.)
3. Kempson W. J. Designing energy-efficient mineshaft systems. Essays Innovate. 2014; 9: 76–79.
4. Johansson B., Steinarson A. A new method for automatic reduction of catenary oscillations in
drum hoist installations. HOIST & HAUL 2015. 2015. P. 125–139.
5. Townsend B. Control of catenary rope oscillation on a Blair multi-rope winder by unbalancing the
load sharing between the hoist ropes. HOIST & HAUL 2015. 2015. P. 43–52.
6. Kratz T., Martens P. N. Optimization of mucking and hoisting operation in conventional shaft
sinking. Glückauf. 2015; 2: 16–22.
7. Kopytov A. I., Pershin V. V., Veti A. A. Research on free fall skip parameters variation impact on
pentice stability when sinking vertical shafts. Izvestiya vysshikh uchebnykh zavedenii. Gornyi zhurnal =
News of the Higher Institutions. Mining Journal. 2019; 8: 133–142. Available from: doi: 10.21440/0536-
1028-2019-8-133-142
8. Ostrovlianchik V. Iu., Popolzin I. Iu. Equivalent structure of a double-fed asynchronous motor with
a change in frequency of additional voltage for electric systems of mine winders. In: High technology in
mineral resources development and utilization. 2019; 5: 302–307. (In Russ.)
9. Ostrovlianchik V. Iu., Popolzin I. Iu. Equivalent structure of a double-fed induction motor with a
change in frequency of additional voltage for electric systems of mine winders. IOP Conference Series:
Earth and Environmental Science. 2019; 377(012041): 9 p.
10. Dvinina L. B., Dvinin L. A., Liaptsev S. A. Type plots of similarity when calculating and
analyzing transient modes of mine winders. In: Technological Equipment for Mining and Oil and Gas
Industry: Proceedings of the 4th Internat. Scient. and tech. Conf, 15–17 May 2006. Ekaterinburg: UrSMU
Publishing; 2006. p. 160–163. (In Russ)
11. Timukhin S. A., Plotnikov A. M., Dmitriev D. S. On the question of substantiating the movement
speeds of conveyances of hoisting complexes. Izvestiia Uralskogo gosudarstvennogo gornogo universiteta =
News of the Ural State Mining University. 2016; 4(44): 60–62. (In Russ.)
12. Katolikov V. E., Dinkel A. D. Dynamic modes of mine hoist. Moscow: Nedra Publishing; 1995.
(In Russ.)
13. Elanchik G. M. Choosing the optimal parameters for the designed mine winders with the direct
current motors. Moscow: MSI Publishing; 1971. (In Russ.)
14. Vorobel S. V., Trifanov G. D. Research of the influence of velocity diagram parameters on the
dynamic loads and skip frame deformation in the dynamical system “shaft skip-shaft furniture”. Gornoe
oborudovanie i elektromekhanika = Mining Equipment and Electromechanics. 2011; 12: 16–19. (In Russ.)
15. Dvinina L. B., Dvinin L. A., Liaptsev S. A. Choosing the dynamic mode for mine winders according
to the hoist speed. In: Mathematical Modelling of Mechanical Events: Proceedings of the Scient. and Tech.
Conf., 10–11 April 2008. Ekaterinburg: UrSMU Publishing; 2008. p. 268–274. (In Russ.)
16. Kirpichev M. V. Similarity theory. Moscow: AS USSR Publishing; 1953. (In Russ.)
17. Sedov L. I. Methods of similarity and dimensions in mechanics. Moscow: Nauka Publishing; 1981.
(In Russ.)
18. Dvinina L. B., Dvinin L. A., Liaptsev S. A. The criteria of similarity for the dynamic modes of a
mine winder. In: Unconventional Technologies and Equipment to Develop the Deposits with a Complex
Structure: Proceedings of the 2nd Internat. Scient. and Tech. Conf., 15–17 February 2005. Ekaterinburg:
UrSMU Publishing; 2005. p. 83–87. (In Russ.)

УДК 622.5; 622.58 DOI: 10.21440/0536-1028-2021-8-62-71


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Introduction. The article deals with the research of parameters and characteristics of mine drainage elements for conveying unlit mine water, evaluation of efficiency and rationality of using such transport complexes as loading-delivery machines, scraper winches, wagons for mechanized cleaning of drain sumps from settling and accumulating mine sludge. At present, the solution of this issue is a widespread task for operating services of mining enterprises. At the same time, it is a promising direction for scientific research.
Methods of research. The scientific and practical experience in the field of mining drainage was analyzed and generalized. Mine drain sumps and their principles operation were described. Drain sumps operation working cycle was calculated and described. Operational parameters for a mechanized method of cleaning with transport complexes were calculated. The effectiveness of the measures for cleaning drain sumps using the means of a mechanized complex were calculated and assessed by determining quantitative efficiency indicators in the form of time spent by load-haul machines and transport complexes for cleaning.
Results and analysis. The efficiency of transport complexes was evaluated by calculating the time of their use for non-productive work. The structural scheme of sequential operation of water collectors and the process of their treatment during the calendar time is developed. It is determined that the existing drain sumps currently perform the function of mine water clarification ineffectively. The interrelation of decreasing of operating time of elements of centrifugal drainage pumps and composition of pumped liquid has been established.
Scope of results. The results of the research are recommended for implementation for all enterprises conducting underground mining works with the use of mine drainage, as well as for design institutes designing mine workings.

Keywords: drain sump; transport complex; productive time.

 

REFERENCES

1. Dolganov A. V. Improving the efficiency of water drainage operation at copper-sulphide mines:
PhD in Engineering abstract of diss. Ekaterinburg: UrSMU Publishing; 2012. (In Russ.)
2. Olizarenko V. V., Mingazhev M. M. Main drainage in copper-sulphide deposits development in the
Southern Urals: monograph. Magnitogorsk: MSTU Publishing; 2010. (In Russ.)
3. Melnikov T. I. Analyzing the existing formulae for the determination of critical speed and hydraulic
slope in dredge piping. Trudy Magnitogorskogo gornometallurgicheskogo instituta = Proceedings of
Magnitogorsk Mining Metallurgical Institute. 1958; 15: 69–109. (In Russ.)
4. Rybakov A. N., Gabbasov B. M. Improving the efficiency of piston pumps when pumping off
the sludge. In: Kolokoltsev V. M. (ed.) Burning Issues of Modern Science, Technology, and Education:
Proceedings of the 72nd Interregional Scientific and Technical Conference. Magnitogorsk: 2014. Vol. 1.
p. 36–39. (In Russ.)
5. Mazhitov A. M., Kutlubaev I. M., Polovnev V. V., Prostikhin I. V. Developing the model of a
mining system for a complex deposit development. In: The Latest Achievements of Academic Scientific
Schools: Proceedings of the National Scientific Conference. Magnitogorsk; 2020. p. 169–171. (In Russ.)
6. Timukhin S. A., Ugol'nikov A. V., Petrovykh L. V., Stozhkov D. S., Lubinskii A. Iu. Mine drainage.
Patent RF no. 2472971; 2013. 4 p.
7. Spivakovskii A. O., Diachkov V. K. Transporting machines. Moscow: Mashinostroenie Publishing;
1983. (In Russ.)
8. Knoroz V. S. Hydraulic fluid motion in pressure lines and their analysis method. Izvestiia VNIIG =
Proceedings of VNIIG. 1941; 30: 256. (In Russ.)
9. Reference guide on hydraulic transport design. Promtransniiproekt. Moscow: Stroiizdat
Publishing; 1988. (In Russ.)
10. Zhang N., Gao B., Ni D., Liu X. Coherence analysis to detect unsteady rotating stall phenomenon
based on pressure pulsation signals of a centrifugal pump. Mechanical Systems and Signal Processing.
2021; 148. Available from: doi: 10.1016/j.ymssp.2020.107161
11. Cao P., Zhu R., Yin G. Spike-type disturbances due to inlet distortion in a centrifugal pump.
Renewable Energy. 2021; 165: 288–300. Available from: doi: 10.1016/j.renene.2020.11.060
12. Li Q., Li S., Wu P., Huang B., Wu D. Investigation on reduction of pressure fluctuation for a
double-suction centrifugal pump. Chinese Journal of Mechanical Engineering (English edition). 2021;
34(1). Available from: doi: 10.1186/s10033-020-00505-8
13. Pacello J., Pacello J. L. Solving the problems of pumping medium-to-high density paper stock.
World Pumps. 1997; 368: 68–71.
14. Mazhitov A. M. Assessment of the extent of man-induced transformation of a subsoil block in
upward mining using ore and host rock caving. Gornaia promyshlennost = Mining Industry. 2021; 4:
113–118. (In Russ.)
15. Mazhitov A. M., Volkov P. V., Krasavin A. V., Allaberdin A. B. Developing the technology for the
formation of an artificial array with specified geotechnical characteristics. Izvestiya vysshikh uchebnykh
zavedenii. Gornyi zhurnal = News of the Higher Institutions. Mining Journal. 2019; 2: 51–58. (In Russ.)

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