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

Zinatullina I. P. – Kazan (Volga Region) Federal University, Kazan, the Russian Federation. E-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
Zinatullin M. Kh. – TEKO-SERVICE LLC, Kazan, the Russian Federation. E-mail: This email address is being protected from spambots. You need JavaScript enabled to view it..
To create effective methods for the interpretation of GIS data in practically monomineral quartz sand and siltstone rocks
of the upper Devonian of the southeast of Tatarstan, it is necessary to take into account the features of the sedimentation
conditions that have determined a noticeable difference in the development of secondary processes and that undoubtedly
affected their capacitive filtration properties. Improved correlation dependencies make it possible to increase the accuracy
of the determination of the coefficients of bulk clayiness and open porosity of reservoir units according to the standard
GIS complex, which is especially important when recalculating balance oil reserves and constructing detailed threedimensional multilevel geological and hydrodynamic models of deposits.
Key words: sandstone; porosity; permeability; data interpretation; sorting; oil saturation.
1. Zinatullin M. Kh., Zinatullina I. P. [Regarding the character of flooding of heterogeneous clay containing reservoir
units of horizons D0 и D1 of Romashkino deposit]. Neft' Tatarstana – Tatarstan Oil, 1998, no. 1, pp. 134–137.
(In Russ.)
2. Srebrodol'skii D. M., Matchinova G. P. [The connection of natural radioactivity and rock clayiness]. Neftegazovaia
geologiia i geofizika – Petroleum Geology and Geophysics, 1977, no. 9, pp. 32–34. (In Russ.)
3. Srebrodol'skii D. M., Matchinova G. P. [Regarding the problem of interpretation of the methods of natural radioactivity
at oil-gas deposits]. Neftegazovaia geologiia i geofizika – Petroleum Geology and Geophysics, 1976, no. 8, pp. 49–51.
(In Russ.)
4. Larionov V. V., Mancheva N. V. Otsenka po dannym radiometrii koeffitsienta poristosti zaglinizirovannykh kollektorov.
Tr. MINKh i GP. Vyp. 89 [Proc. of Gubkin Russian State University of Oil and Gas "Estimation of the coefficient of
clogged reservoirs porosity according to the data of radiometry". Issue 89]. Moscow, Nedra Publ., 1969, pp. 139–146.
5. Zinatullin M. Kh., Diiashev R. N., Zinatullina I. P. [Filtration and capacitive properties of Romashkino deposit
Devonian underproductive reservoirs flooding]. Geologiia, geofizika i razrabotka neftianykh i gazovykh mestorozhdenii –
Geology, Geophysics and Development of Oil and Gas Fields, 1997, no. 9, pp. 15–21. (In Russ.)

Razovskii Iu. V., Ruban M. S. – Moscow Witte University, Moscow, the Russian Federation. E-mail: This email address is being protected from spambots. You need JavaScript enabled to view it. In the arctic bowels of the Russian Federation the main reserves of the range of important minerals are concentrated.

Based on the theory of natural resource rent and the common principle of its classification (according to the source of
formation), the classification of the arctic rent is composed, including mineral and raw materials (mining), copper-nickel,
and other varieties. This creates a theoretical basis for the development of a sequence of assessment and taxation of the
arctic rent. The methodology for monetary valuation of differential mining rent is developed, which is defined as excess
profit. It is designed for the conditions of copper-nickel ore arctic mining and takes into account specific regional "northern"
risks of non-ferrous and other metals production. Effective development of non-ferrous metals in the Arctic and the
formation of the arctic rent are considered by the example of OJSC "MMC "Norilsk Nickel".

Key words: natural rent classification; the Arctic; arctic rent; excess profit; assessment methodology; economic potential.

1. Razovskii Iu. V., Bulat S. A. Upravlenie sverkhpribyl'iu [Excess profit control]. Moscow, SSU Publ., 2011. 305 p.
2. Razovskii Iu. V., Makarkin Iu. N., Gorenkova E. Iu. Mineral'no-syr'evoi kapital [Mineral and raw materials capital].
Moscow, U Nikitskikh vorot Publ., 2013. 387 p.
3. Morgunova M. O., Tsunevskii A. Ia. Energiia Arktiki. Pod nauch. red. V. V. Bushueva [Energy of the Arctic. Edited
by V. V. Bushuev]. Moscow, Energiia Publ., 2012. 84 p.
4. Annual report of OJSC “MMC “Norilsk Nickel” for 2014. Available at: http://www.nornik.ru/investoram/godovyeotchety/godovyie-otchetyi1 (Access date June 19th, 2015). (In Russ.)
5. Galaov R. B., Pelipenko E. V., Kolechko S. S. [The history of exploitation and the prospects of development of OJSC
“MMC “Norilsk Nickel” Polar Division mineral raw materials base]. Gornyi zhurnal – Mining Journal, 2015, no. 6,
pp. 7–11. (In Russ.)
6. Pipes Richard. Property and freedom. Alfred A. Knopf, New York, 1999. 416 p.
7. Behavior of oil and other hazardous and noxious substances in Arctic waters. Available at: http://www.arctic-council.
org/eppr/wp-content/uploads/2012/07/Final-Report-BoHaSA_23-02-20111.pdf (Access date December 16th, 2015).
8. The role of the Arctic in future global petroleum supply. Available at: http://www.ssb.no/a/publikasjoner/pdf/DP/
dp645.pdf (Access date December 16th, 2015).
9. Arctic social indicators. Nordic Council of Ministers. Copenhagen, 2010. Available at: http://library.arcticportal.
org/712/1/Arctic_Social_Indicators_NCoM.pdf (Access date December 11th, 2015).
10. Thompson T. P., Mill J. The true theory of rent in opposition to Mr. Ricardo and others: being an exposition of
fallacies on rent, tithes, in the form of a review of Mr. Mill's elements of political economy. Moscow, R. Heward Publ.,
2011. 41 p.
11. Semenov A. V., Razovskii Iu. V., Makarkin Iu. N. [Sources of formation of the natural capital of the Arctic]. Burenie
i neft' – Drilling and Oil, 2014, no. 12, pp. 50–53. (In Russ.)
12. Gorenkova E. Iu. [Risk model of oil and gas company]. Vestnik universiteta – The Scientific Magazine “Vestnik
Universiteta”, 2010, no. 16, pp. 188–189. (In Russ.)

Khokhriakov A. V., Tseitlin E. M., Moskvina O. A., Larionova I. V. – 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.
The article gives information about environment quality deterioration in the Russian Federation and Sverdlovsk region, the reasons for environment quality deterioration are provided, the main peculiarities of mineral raw materials complex enterprises are revealed, the problems of ecological management effectiveness improvement are examined at the enterprises with the use of environment quality forecasting methods in the location area of waste disposal facilities. Some
disadvantages of existing forecasting methods are described. The methods of forecasting the quality of the environment in the location area of waste disposal facilities are suggested: moving average method, method with an additive constituent, method with the use of regressive analysis. The advantages of the introduced methods are described. Information is given about possible reasons for forecast errors.

Key words: mining; ecological management; mineral raw materials complex; contaminants concentration forecasting.

1. Tseitlin E. M. Issledovanie, otsenka i optimizatsiia urovnia ekologicheskoi bezopasnosti okruzhaiushchei sredy v
usloviiakh gornogo proizvodstva na primere Srednego Urala: avtoref. dis. ... kand. geol.-miner. nauk [Investigation,
estimation and optimization of the level of ecological environmental safety in conditions of mining by the example of
the Middle Urals. Cand. geol. min. sci. abstract of diss.]. Ekaterinburg, 2013. 22 p.
ISSN 0536-1028 «Известия вузов. Горный журнал», № 4, 2017 63
2. Khokhriakov A. V., Studenok A. G., Studenok G. A. [Drainage water chemical contamination with nitrogen
compounds generation processes investigation by the example of an open pit of a large mining enterprise]. Izvestiya
Ural'skogo gosudarstvennogo gornogo universiteta – News of the Ural State Mining University, 2016, issue 4(44),
pp. 35–37. (In Russ.)
3. Antoninova N. Iu., Rybnikova L. S., Slavikovskaia Iu. O., Rybnikov P. A., Shubina L. A. [Geoecological estimation
of land use and water use in the regions of natural and technogenic raw material exploitation in the Urals]. Fizikotekhnicheskie
problemy razrabotki poleznykh iskopaemykh – Physical and Technical Problems of Mining, 2012, no. 2,
pp. 194–200. (In Russ.)
4. Which place does metallurgy take in national economy today? Rossiyskaya Gazeta. Available at:
https://rg.ru/2013/11/08/gutenev.html (Access date 01.03.2017).
5. Equipment wearing at hazardous enterprises in Russia exceeds 70%. FSUE RAMI “RIA Novosti”. Available at:
https://ria.ru/incidents/20140528/1009678019.html (Access date 01.03.2017).
6. Federal Service for Supervision of Natural Resources invoiced the Ministry of Defence of the Russian Federation for
the sum of 1.2 billion rubles for ecological damage: RAPSI (Russian Legal Information agency). Available at:
http://rapsinews.ru/incident_news/20161111/277112516.html (Access date 01/03/2017).
7. Cumulative damage in the Central ecological zone of Baikal makes 1.5 billion rubles: IRK. Available at: https://www.
irk.ru/news/20120112/damage/ (Access date 01/03/2017).
8. Safonova L. A., Smolovik G. N. Metody i instrumenty priniatiia reshenii [Decision making methods and tools].
Novosibirsk, 2012, 299 p. Available at: https://sibsutis.ru/upload/publications/93f/fhxbjdspoead%20fj%20
9. Afanas'ev M. Iu., Bagrinovskii K. A., Matiushok V. M. Prikladnye zadachi issledovaniia operatsii: ucheb. posobie
[School book “Applied problems of operational research”]. Moscow, INFRA-M Publ., 2006. 352 p.
10. Butakova M. M. Ekonomicheskoe prognozirovanie: metody i priemy prakticheskikh raschetov [Economic
forecasting: methods and techniques of practical calculations]. Moscow, KnoRus Publ., 2008. 168 p.
11. Dubrova Т. А. [Social economic processes forecasting]. Statisticheskie metody i modeli [Statistical methods and
models]. Moscow, Market DC Publ., 2007. 192 p.
12. Gidrogeologiia. Pod red. V. M. Shestakova, M. S. Orlova [Hydrogeology. Edited by V. M. Shestakov, M. S. Orlov].
Moscow, MSU Publ., 1984. 310 p.
13. Romashevskaia Ia. A. [Ecological audit, modeling and forecasting of ecological situation, decision making in the
sphere of environmental protection control by means of creating geoinformational internet portal on the basis of
intersubjective theory]. XII Vseros. soveshch. po problemam upravleniia VSPU-2014: sb. tr. konf. [Proc. 12th All-Russ.
Meeting over the Problems of Controlling VSPU-2014]. Moscow, 2014, pp. 5666–5674. (In Russ.)
14. Savitskaia T. V., Dudarov S. P., Egorov A. F., Levushkin A. S. [The use of artificial neuronic networks to forecast
contamination of the atmosphere by emergency sources under changing weather conditions]. Ekologicheskie sistemy i
pribory – Ecological Systems and Devices, 2007, no. 10, pp. 45–50. (In Russ.)
15. Benuzh A. A. [The model of estimating quality and forecasting the conditional of the environment with the system
of differential equations]. Vestnik MGSU – Proceedings of Moscow State University of Civil Engineer, 2010, no. 2,
pp. 105–109. (In Russ.)
16. Bondarik G. K. [Diagnostics and forecasting of the condition of natural and natural-engineering systems is the
function of geocybernetics]. Izvestiya vysshikh uchebnykh zavedenii. Geologiia i razvedka – News of the Higher
Institutions. Geology and Exploration, 2010, no. 1, pp. 78–79. (In Russ.)
17. Romanov A. M., Volkova M. A. [Prognosis of behaviors of long-lived wastes in geological environment]. Izvestiya
vysshikh uchebnykh zavedenii. Gornyi zhurnal – News of the Higher Institutions. Mining Journal, 2010, no. 6,
pp. 38–45. (In Russ.)

Tyrsin A. N. – Science and Engineering Center “Reliability and Safety and Large Systems and Machines” of UB RAS, Ekaterinburg, the Russian Federation. E-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
Azarian A. A. – Ural Federal University, Ekaterinburg, the Russian Federation. E-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
High load equipment is well-worn by the end of the operating period, though, following the instructions and normative
operating periods it is still repaired, going through relatively high costs to maintain its operational condition. The methods
of engineering diagnostics here are ineffective because they are supposed to be used under the conditions in which
equipment hasn’t exhausted its service life. That’s why the development of economically proven method of determining
the service time of opencast automobile transport and other high load equipment is up-to-date. The choice of the efficiency
criterion is very important. Average general expenses for equipment constitute this criterion; they include its purchase and
all operational expenses, including maintenance. The article describes mathematical model of optimum operating period
of high load equipment. Optimum operating period is determined when solving the problem of minimizing average
expenses for purchase, exploitation and maintenance of the equipment according to statistic data. The realization of the
suggested methods at the enterprise will make it possible to reduce expenses.
Key words: high load equipment; opencast automobile transport; maintenance; average expenses; service life; optimum
operational period.
1. Gerike B. L., Abramov I. L., Gerike P. B. Vibrodiagnostika gornykh mashin i oborudovaniia: ucheb. posobie [School
book “Vibrodiagnostics of mining machines and equipment”]. Kemerovo, KuzSTU Publ., 2007. 167 p.
2. Sapozhnikov V. V., Sapozhnikov Vl. V. Osnovy tekhnicheskoi diagnostiki: ucheb. posobie [School book
“The fundamentals of engineering diagnostics”]. Moscow, Marshrut Publ., 2004. 318 p.
3. Glukharev Iu. D., Zamyshliaev V. F., Karamzin V. V., and others. Tekhnicheskoe obsluzhivanie i remont gornogo
oborudovaniia: uchebnik [School book “Engineering maintenance and repair of mining equipment”]. Moscow,
Akademiia Publ., 2003. 400 p.
4. Krakovskii Iu. M. Matematicheskie i programmnye sredstva otsenki tekhnicheskogo sostoianiia oborudovaniia
[Mathematical and software methods of estimating technical state of the equipment]. Novosibirsk, Nauka Publ., 2006. 227 p.
5. Andrianov Iu. V. Otsenka avtotransportnykh sredstv [The estimation of transport vehicles]. Moscow, Delo Publ.,
2002. 488 p.
6. Kovalev A. P., Kushel' A. A., Korolev I. V., Fadeev P. V. Osnovy otsenki stoimosti mashin i oborudovaniia: uchebnik
[School book “The fundamentals of machines and equipment cost estimation”]. Moscow, Finansy i statistika Publ.,
2006. 288 p.
7. Ulitskii M. P., Andrianov Iu. V., Luzhanskii B. E., Chemerikin S. M. Otsenka stoimosti transportnykh sredstv: ucheb.
posobie [School book “Transport vehicles cost estimation”]. Moscow, Finansy i statistika Publ., 2005. 304 p.
8. Smoliak S. A. [Machines cost estimation with the account of maintenance]. Analiz i modelirovanie ekonomicheskikh
protsessov: sb. statei [Collected works “Analysis and modeling of economic processes”]. Moscow, CEMI RAS Publ.,
2012, pp. 47–72. (In Russ.)
9. Tyrsin A. N., Kliavin I. A. [Mathematical modeling of optimum operating period of automobile transport at coal open
pits]. Obozrenie prikladnoi i promyshlennoi matematiki – The Survey of Applied and Industrial Mathematics, 2008,
vol. 15, pp. 371–372. (In Russ.)
10. Linnik Iu. V. Metod naimen'shikh kvadratov i osnovy teorii obrabotki nabliudenii [The methods of least squares and
the fundamentals of the theory of observations processing]. Moscow, FIZMATLIT Publ., 1958. 334 p.
11. Tyrsin A. N., Maksimov K. E. [Linear regression equations estimation with the help of the method of least absolute
deviations]. Zavodskaia laboratoriia. Diagnostika materialov – Industrial Laboratory. Materials Diagnostics, 2012,
vol. 78, no. 7, pp. 65–71. (In Russ.)
12. Smoliak S. A., Titarenko B. P. Ustoichivye metody otsenivaniia [Stable methods of estimation]. Moscow, Statistika
Publ., 1980. 208 p.

Zhabko A. V. – 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.
The work suggests the functions of yield surface and plastic potential on the basis of the author’s earlier investigations.
The limiting surface for the given functions is the surface of solid bodies (rocks) destruction, which is described by the law
of Coulomb. In fact, the suggested function represents the law of plastic deformation of solid bodies. It is analytically
proved that in the process of plastic deformation there occurs the turn of structural elements of the solid body. On the
basis of the given investigations some discrepancies are explained, which are observed in the process of rock strength
tests. Energetic variational principle of breaking (destruction) of solid bodies is obtained. On the basis of this principle the
appearance of ring structures in the premises of some mine workings is explained - the phenomenon of zone disintegration
of rocks. The dependence is suggested to calculate the scale factor of the given phenomenon. Geometric vicinity of
sliding surface shape in slopes to the arc of circle is justified.

Key words: criterion of breaking; differential equation; main stresses; sliding surface inclination angle; yield surface;
function of plastic potential; the law of Coulomb; plastic deformation; dilatancy; variational principle.

1. Kocharian G. G. Deformatsionnye protsessy v massivakh gornykh porod: ucheb. posobie [School book “Deformation
processes in rock massifs”]. Moscow, MIPT Publ., 2009. 378 p.
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2000, no. 3(6), pp. 5–36. (In Russ.)
3. Zhabko A. V. [Stress state of earth crust]. Izvestiia Ural'skogo gosudarstvennogo gornogo universiteta – News of the
Ural State Mining University, 2014, no. 3(35), pp. 57–60. (In Russ.)
ISSN 0536-1028 «Известия вузов. Горный журнал», № 4, 2017 55
4. Zhabko A. V. [Condition of rock strength]. Izvestiia Ural'skogo gosudarstvennogo gornogo universiteta – News of the
Ural State Mining University, 2014, no. 4(36), pp. 24–28. (In Russ.)
5. Zhabko A. V. [Limiting stress state of rocks]. Izvestiya vysshikh uchebnykh zavedenii. Gornyi zhurnal – News of the
Higher Institutions. Mining Journal, 2015, no. 5, pp. 50–55. (In Russ.)
6. Zhabko A. V. [Criterion of solid bodies breaking]. Problemy nedropol'zovaniia – The Problems of Subsoil Use, 2015,
issue 2(5), pp. 46–51. (In Russ.)
7. Zhabko A. V. Analiticheskaia geomekhanika: nauch. monografiia [Scientific monograph “Analytical geomechanics”].
Ekaterinburg, UrSMU Publ., 2016. 224 p.
8. Panin V. E., Likhachev V. A., Griniaev Iu. V. Strukturnye urovni deformatsii tverdykh tel [Structural levels of solid
bodies deformation]. Novosibirsk, Nauka Publ., 1985. 254 p.
9. Vikulin A. V., Melekestsev I. V. [Whirlwinds and life]. Rotatsionnye protsessy v geologii i fizike [Rotational processes
in geology and physics]. Moscow, KomKniga Publ., 2007, pp. 39–102.
10. Vikulin A. V., Makhmudov Kh. F., Ivanchin A. G., Gerus A. I., Dolgaia A. A. [Regarding wave and rheid properties
of earth crust]. Fizika tverdogo tela – Physics of Solid Body, 2016, vol. 58, issue 3, pp. 547–557. (In Russ.)
11. Kartashov Iu. M., Matveev B. V., Mikheev G. V., and others. Prochnost' i deformiruemost' gornykh porod [Rock
strength and deformability]. Moscow, Nedra Publ., 1979. 269 p.
12. Odintsev V. N. Otryvnoe razrushenie massiva skal'nykh gornykh porod [Hard rock massif separation breaking].
Moscow, RiCEMR of RAS Publ., 1996. 166 с.
13. Stavrogin A. N., Tarasov B. G. Eksperimental'naia fizika i mekhanika gornykh porod [Experimental physics and
mechanics of rocks]. St. Petersburg, Nauka Publ., 2001. 343 p.
14. Rebetskii Iu. L. [Tectonic stresses and territories of earthquakes origin trigger mechanism]. Fizicheskaia
mezomekhanika – Physical Mesomechanics, 2007, no. 10(1), pp. 25–37. (In Russ.)
15. Zhabko A. V. [Theory of slopes and foundations stability calculation. General theory of homogeneous slopes
stability calculation]. Izvestiia Ural'skogo gosudarstvennogo gornogo universiteta – News of the Ural State Mining
University, 2016, no. 1(41), pp. 72–83. (In Russ.)
16. Oparin V. N. [Scientific discoveries in geomechanics at the turn of the millennium and the prospects of their
application]. Geodinamika i napriazhennoe sostoianie nedr Zemli: tr. konf. s uchastiem inostran. uchenykh,
2–5 oktiabria 2007 [Proc. of Conf. with foreign scientists “Geodynamics and stressed state of Earth bowels”,
2nd–5th October, 2007]. Novosibirsk, IM SB RAS Publ., 2007, pp. 7–30. (In Russ.)
17. Kashubin S. N., Vinogradov V. B., Kuzin A. V. Fizika Zemli: ucheb. posobie dlia bakalavrov [School book for
bachelors “Physics of the Earth”]. Ekaterinburg, UrSMU Publ., 2005. 188 p.
18. Latyshev O. G., Kornilkov M. V. Napravlennoe izmenenie fractal'nykh kharakteristik, svoistv i sostoiania porod
poverkhnostno-aktyvnymi veshchestvami v protsessakh gornogo proizvodstva: nauch. monografiia [Scientific
monograph “Directional change of fractal characteristics, properties and state of rocks with surfactants in the processes
of mining”]. Ekaterinburg, UrSMU Publ., 2016. 407 p.



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