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movement velocity

Geotechnical Engineering and Engineering Geology
  • Date submitted
    2023-10-04
  • Date accepted
    2024-09-24
  • Date published
    2025-02-25

Crustal movement model in the ITRF2020 – a case study in Northern Vietnam

Article preview

In the North area of Vietnam, the crustal movement velocity of 38 GNSS points belonging to different international Earth reference frames (ITRF2000, ITRF2005, ITRF2008) is adjusted to the international Earth reference frame ITRF2020. This is the latest frame up to now. Since then, the picture of crustal movement in the North area of Vietnam has been unified in a dynamic coordinate system. In the study area, the rate of crustal movement is about 35 mm/year, and the direction of displacement is from northwest to southeast. To build a model of the crustal movement of the Earth in the northern area of Vietnam, the movement velocity data of 38 stations in ITRF2020 is evaluated with high accuracy. All points are also satisfactory. And then, the crustal movement velocity model is built by using the collocation method in the form of the 3-order Markov function. Within 38 stations, 34 stations are used to build the model and 4 remaining stations are used as checked stations. The obtained results show that the Earth's crust movement velocity model has an accuracy of about 2 mm/year for movement velocity and 2 deg for movement direction. This is the first model of Earth's crust movement in the North of Vietnam that has been built in the latest dynamic coordinate system ITRF2020. These results have important significance in the research and practical application of the movement of the Earth's crust. The steps of building the movement velocity model in this study can be applied to other experimental areas in the territory of Vietnam.

How to cite: Tham B.T.H., Thanh P.T. Crustal movement model in the ITRF2020 – a case study in Northern Vietnam // Journal of Mining Institute. 2025. Vol. 271. p. 120-130. EDN PHHTOE
Modern Trends in Hydrocarbon Resources Development
  • Date submitted
    2022-05-12
  • Date accepted
    2022-09-15
  • Date published
    2022-12-29

Problem solution analysis on finding the velocity distribution for laminar flow of a non-linear viscous flushing fluid in the annular space of a well

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Modern drilling fluids are non-linear viscous media with an initial shear stress. In classical scientific works on hydromechanical modeling of drilling fluids motion in pipes and annular channels the Shvedov – Bingham approximation and Ostwald – de Waale power-law model were used, which did not fully account for behavior of technological fluids in a wide range of shear rates. This article presents a numerical solution for a mathematical model of drilling fluid motion of the three-parameter Herschel – Bulkley rheological model in the annular space of the well. The Herschel – Bulkley model in the rheological equation takes into account the presence of initial shear stress and a tendency for viscosity to change with shear rate, which distinguishes it from the Ostwald – de Waale and Shvedov – Bingham models. The target function in solving the equation of motion is the velocity distribution in the radial direction of the upward flow of the flushing fluid. The analysis of obtained solution is based on the theory of velocity profile influence on quality of cuttings removal during wellbore cleaning. Due to peculiarities of mathematical statement of the task, which supposes necessity of differential equation of motion solution, Wolfram Mathematica computational software has been used as a calculation tool. The analysis of numerical solution allowed to draw conclusions about the possibility of its application in evaluation of velocity profile when drilling fluid moves in annular space of the well. The possibility for application of modified excess coefficient as a relative quantitative parameter for evaluation of velocity profile uniformity was substantiated.

How to cite: Nikitin V.I. Problem solution analysis on finding the velocity distribution for laminar flow of a non-linear viscous flushing fluid in the annular space of a well // Journal of Mining Institute. 2022. Vol. 258. p. 964-975. DOI: 10.31897/PMI.2022.93
Geotechnical Engineering and Engineering Geology
  • Date submitted
    2021-04-23
  • Date accepted
    2021-09-07
  • Date published
    2021-12-16

Development of the concept of an innovative laboratory installation for the study of dust-forming surfaces

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Currently, the determination of the emission rate of suspended solids from a unit of the surface area of a man-made mass at various parameters of the wind flow is not sufficiently described. The analysis of the world experience of researchers shows that existing laboratory installations have various design features that do not allow to correctly determine the mass of the dust being flapped and wind-blown. Based on the analysis results, the concept of an innovative laboratory installation for the study of dust-forming surfaces has been developed. It takes into account the influence of wind shadows, the deturbulization of an artificially created air flow, the possibility of regulating not only the flow velocity mode, but also the creation of a vacuum or disturbance in the area of sample placement, as well as the formation of a certain angle of wind flow attack relative to the surface. The concept provides for the possibility of determining the volume of dust emissions by the values of the lost dust masses in the sample and by the values of dust concentrations in the outgoing stream. The calculation of the main basic elements of the installation using the ANSYS FLUENT software package was carried out. The model and configuration of the wind tunnel have been developed and calculated, the main geometric parameters and functional elements for the possibility of use in scientific work have been determined. For practical use of the empirical roughness value of the underlying surface, its values are recommended in a wide range – from zero for the water surface to 0.44 for large cities with tall buildings and skyscrapers.

How to cite: Ivanov A.V., Smirnov Y.D., Chupin S.A. Development of the concept of an innovative laboratory installation for the study of dust-forming surfaces // Journal of Mining Institute. 2021. Vol. 251. p. 757-766. DOI: 10.31897/PMI.2021.5.15
Mining
  • Date submitted
    2021-01-25
  • Date accepted
    2021-02-22
  • Date published
    2021-04-26

Conducting industrial explosions near gas pipelines

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The problem to ensure the safety of objects which are in the area of blasting operations, ensuring the destruction of hard rocks, remains relevant. The article presents the results of a large-scale experiment to determine the safe conditions for conducting drilling and blasting operations near the active gas pipeline. The simplest and most reliable way to ensure the safety of the protected object from seismic impact is to reduce the intensity of the seismic wave, which is achieved by changing the parameters of drilling and blasting operations. This requires research to determine the impact of blasting operations on the parameters of seismic waves and the development of methods for measuring these parameters. The paper presents a detailed analysis of the seismic blast wave impact on the displacement of the ground and the model gas pipeline. The features of seismic monitoring during blasting operations near the active gas pipeline are shown. The seismic coefficients and attenuation coefficient of seismic waves are determined. It is proved that the readings of the seismic receivers on the surface and in the depth of the massive differ by two or more times.

How to cite: khokhlov S.V., Sokolov S.T., Vinogradov Y.I., Frenkel I.B. Conducting industrial explosions near gas pipelines // Journal of Mining Institute. 2021. Vol. 247. p. 48-56. DOI: 10.31897/PMI.2021.1.6
Oil and gas
  • Date submitted
    2020-05-21
  • Date accepted
    2020-10-05
  • Date published
    2020-11-24

Method of calculating pneumatic compensators for plunger pumps with submersible drive

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One of the most promising ways to improve the efficiency of mechanized oil production is a plunger pump with a submersible drive, which allows obtaining harmonic reciprocating movement of the plunger. In the pumping process of well products by plunger pumps, oscillations in the velocity and pressure of the liquid in the lifting pipes occur, which lead to an increase in cyclic variable loads on the plunger, a decrease in the drive life period and the efficiency of the pumping unit. To eliminate the pulsation characteristics of the plunger pump and increase the reliability indicators of the pumping unit (in particular, the overhaul period), pneumatic compensators can be used. A method for calculating the optimal technological parameters of a system of deep pneumatic compensators for plunger pumping units with a submersible drive, based on mathematical modeling of hydrodynamic processes in pipes, has been developed. Calculations of the forming flow velocity and pressure in the lifting pipes of submersible plunger units equipped with pneumatic compensators (PC) have been carried out. Influence of the PC technological parameters on the efficiency of smoothing the oscillations of velocity and pressure in the pipes has been analyzed. Non-linear influence of the charging pressure and PC total volume on the efficiency of their work has been established. Optimal pressure of PC charging, corresponding to the minimum pressure in the tubing during the pumping cycle for the considered section of the tubing, is substantiated. Two ultimate options of PC system placement along the lifting pipes are considered. In the first option, PC are placed sequentially directly at the outlet of the plunger pump, in the second - evenly along the lift. It is shown that the first option provides the minimum amplitude of pressure oscillations at the lower end of the tubing and, accordingly, variable loads on the pump plunger. Nature of the pressure and flow velocity oscillations in the tubing at the wellhead for both options of PC placement has similar values .

How to cite: Timashev E.O. Method of calculating pneumatic compensators for plunger pumps with submersible drive // Journal of Mining Institute. 2020. Vol. 245. p. 582-590. DOI: 10.31897/PMI.2020.5.10
Mining
  • Date submitted
    2020-05-24
  • Date accepted
    2020-07-23
  • Date published
    2020-11-24

Estimation of ore contour movements after the blast using the BMM system

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Measurement of ore movements by blast is one of the key components of the quality control system at any mining enterprise, which allows to obtain the accuracy necessary for determining the location of ore contours. About 15 years ago, a monitoring system was developed in Australia that allows mine personnel to make three-dimensional measurements of ore blocks movement at each blast. Studies have shown that ore blocks movement is extremely variable, and it characterized by a complete absence of a deterministic component. The consequence is that modeling ore contour movements during the blast will be inaccurate, and the best results for the mining enterprise can only be achieved by directly measuring the movement. The technology of measuring ore contours movements considered in the article is based on three-dimensional movement vectors obtained in different parts of the blasted block, characterized by different movements. It is obvious that the accuracy of determining the ore contours position after the blast is proportional to the number of measurements made on the block. Currently, the movement control technology based on the BMM system is actively used by global mining companies, its use reduces losses and dilution of ore. In 2017, the pilot implementation of the BMM system was started at the Olympiadinsky GOK, and the system is being implemented in several Russian mining companies.

How to cite: Rakhmanov R.A., Loeb J., Kosukhin N.I. Estimation of ore contour movements after the blast using the BMM system // Journal of Mining Institute. 2020. Vol. 245. p. 547-553. DOI: 10.31897/PMI.2020.5.6
Electromechanics and mechanical engineering
  • Date submitted
    2020-06-15
  • Date accepted
    2020-06-15
  • Date published
    2020-06-30

Non-destructive testing of multilayer medium by the method of velocity of elastic waves hodograph

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The method of velocity of elastic waves hodograph, aimed at non-destructive testing of structurally heterogeneous composite materials and products based on them, as well as multilayer products and constructions, is considered. The theoretical basis for determining the propagation velocity of elastic waves in a multilayer medium by the hodograph method is given. Based on the studies, recommendations are given for determining the propagation velocity of elastic waves in each individual layer of a multilayer medium, which allows non-destructive testing of the physicomechanical characteristics of each layer of a multilayer medium. It is shown that in addition to simple multiple reflections in a homogeneous medium, in a multilayer medium with parallel interfaces consisting of two or more layers, complex types of multiple reflected waves and mixed waves (reflected-refracted and refracted-reflected) can arise. The main task of applying the low-frequency ultrasonic method is to determine the acoustic parameters of the propagation of elastic waves (velocities, amplitudes, spectra). The main methods for determining the elastic wave velocities are considered, based on the hodograph equation of the indicated reflected waves in a multilayer medium.

How to cite: Potapov A.I., Kondratev A.V. Non-destructive testing of multilayer medium by the method of velocity of elastic waves hodograph // Journal of Mining Institute. 2020. Vol. 243. p. 348-356. DOI: 10.31897/PMI.2020.3.348
Oil and gas
  • Date submitted
    2018-11-18
  • Date accepted
    2019-01-17
  • Date published
    2019-04-23

Calculation of elastoviscoplastic displacement of well walls in transversal and isotropic rocks

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The relevance of the work is justified by the need to improve the technical and economic indicators of well construction based on forecasting and preventing drilling tools sticking due to the narrowing of an open well bore in the intervals of transversely isotropic rocks. A mathematical model of elastic-viscous-plastic displacement of the walls of inclined and horizontal wells has been developed during the narrowing of the open borehole due to rock creep in the intervals of transversely isotropic rocks. In the program developed based on this mathematical model, the calculation of the elastic-viscous-plastic displacement of the walls of an obliquely directed and horizontal well in the reservoir of argillite from the Western Siberia deposit was carried out. As a result of the calculation, it was established that after opening the rock with bits, the cross-section of the open borehole due to the rock creep eventually takes the form of an ellipse, the small axis of which is in the plane of the upper wall of the well and decreases with time.

How to cite: Gubaidullin A.G., Moguchev A.I. Calculation of elastoviscoplastic displacement of well walls in transversal and isotropic rocks // Journal of Mining Institute. 2019. Vol. 236. p. 180-184. DOI: 10.31897/PMI.2019.2.180
Geology
  • Date submitted
    2018-05-22
  • Date accepted
    2018-07-04
  • Date published
    2018-10-24

Multivariance of a velocity model for structural plotting based on seismic and borehole data

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The paper discusses the peculiarities of structural modelling (forecast of the depths of the reflecting horizons) based on the seismic and drilling data system. Seismic data are represented by vertical time values and the stacking velocity of borehole data that are the depth marks of the reflecting horizons. Vertical time and the depth of the reflecting horizons are bound by the equation of average velocity but the average velocity is not determined in a seismic experiment, therefore an issue of choosing a velocity model of a complex natural object arises. The task of structural modelling is solved by the selection of formal expressions containing correlations between the parameters of the underlying model and kinematic parameters of the wave field. The optimal decision on model selection is determined by the minimum discrepancy between the predicted and actual values of the depth of the sample boreholes. A practical example shows possible variants of the interpretation model. An inverse kinematic problem on converting the vertical time of the reflected waves at the depth of horizons is solved in each production report on the results of seismic work and is probably the most common objective of seismic exploration. Considering the variety of research objects and the apparent obviousness of the solution, this topic is underrepresented in scientific literature.

How to cite: Sysoev A.P. Multivariance of a velocity model for structural plotting based on seismic and borehole data // Journal of Mining Institute. 2018. Vol. 233. p. 459-470. DOI: 10.31897/PMI.2018.5.459
Geo-nanomaterials
  • Date submitted
    2015-10-24
  • Date accepted
    2015-12-17
  • Date published
    2016-08-22

Spatial distribution of energy release during propagation of fast electron beam in the air

Article preview

The paper focuses on development of the analytical theory to assess spatial distribution of energy released during propagation of the fast electron beam in a gas, in particular in the air at electron energies of 1-100 keV. An approach adopted by authors [2, 3] to study inelastic deceleration of electrons in the air is further developed here. As the inelastic interaction in most cases leads to energy relaxation while elastic interaction causes distribution isotropization over directions, the first task solved in the paper is finding the electron distribution function including only elastic collisions. In the final part of this paper an analytical solution to this task is presented with account of both types of electron deceleration in the air. The calculations show that when elastic collisions are taken into account this leads to increased spatial density of energy release and to narrowing of the primary energy release region of the fast electrons, as compared to calculations accounting for only inelastic deceleration.

How to cite: Sukhomlinov V.S., Mustafaev A.S. Spatial distribution of energy release during propagation of fast electron beam in the air // Journal of Mining Institute. 2016. Vol. 220. p. 611-621. DOI: 10.18454/PMI.2016.4.611
Mining
  • Date submitted
    2015-07-11
  • Date accepted
    2015-09-17
  • Date published
    2016-02-24

The mechanism of rock burst leading to ground destruction of mine openings

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The article deals with the main issues of studying of one type of rock bursts which lead to gound destruction of coal mine openings. The research is focused on rock burst prediction. Some cases of rock bursts are analised. The paper points out factors affecting this kind of rock failure. It also presents some simulation models and numerical examples. The results of the research show that it is possible to plan safe mining operations under different mining and geological conditions.

How to cite: Mustafin M.G. The mechanism of rock burst leading to ground destruction of mine openings // Journal of Mining Institute. 2016. Vol. 217. p. 40-49.
Mining
  • Date submitted
    2015-07-14
  • Date accepted
    2015-09-28
  • Date published
    2016-02-24

Ion velocity distribution function in arbitrary electric field plasma

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Experimental investigations of the ion velocity distribution function (IVDF) are of great importance to various kinds of application: plasma nanotechnology, surface treatment, nanoelectronics, etching processes et al. In this paper, we propose a new probe method for diagnostics of anisotropic IVDF. The possibilities of the method have been demonstrated in arbitrary electric field plasma under conditions when an ion acquires a velocity on its mean free path comparable with the average thermal velocity of atoms. The energy and angular dependency of seven IVDF Legendre components for He + in He and Ar + in Ar have been measured and polar diagrams of the ion motion have been plotted. In order to verify the reliability and accuracy of the method the analytic solution of the kinetic Boltzmann equation for ions in plasma of their own gas has been found. Conditions under which resonant charge exchange is the dominant process and the ambipolar field is arbitrary have been considered. For the ambipolar field the dependence of resonant charge cross-section on the relative velocity has been taken into account. It is shown that the form of the IVDF is significantly different from the Maxwellian distribution and defined by two parameters. The results of theoretical and experimental data taking into account the instrumental function of the probe method are in good agreement. Calculations of the drift velocity of Hg + ions in Hg, He + in He, Ar + in Ar, and mobility of N 2 + in N 2 are well matched with known experimental data in wide range of electric field values.

How to cite: Mustafaev A.S., Sukhomlinov V.S. Ion velocity distribution function in arbitrary electric field plasma // Journal of Mining Institute. 2016. Vol. 217. p. 29-39.
Electromechanics and mechanical engineering
  • Date submitted
    2014-12-09
  • Date accepted
    2015-02-16
  • Date published
    2015-12-25

Dynamic study of underground loading machine’s working tool crank-rocker mechanism

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The article is devoted to the dynamic study of the underground shovel’s working tool mech-anism, assembled in accordance with a crank-rocker scheme, containing curved wings, as well as to the study of the effect on uneven movement rate, produced by the working tool mechanism; pa-rameters and structural characteristics of the shovel paw design shape. On the basis of a synthesis of the loading machine’s working tool mechanisms, a kinematic scheme with a shovel paw, con-sisting of a straight operating part and a curved working tail, is offered. A dynamic model of the mechanism based on a variable weight of shovel bulk cargo and drive parameters of the working tool is developed, a motion equation is made up. Comparison between statistical indicators of effec-tive output obtained from the shovel loaders drive mechanism and the results of a separate computer simulation of the mechanisms under analysis attest to the proposed model’s performability.

How to cite: Timofeev I.P., Korolev I.A. Dynamic study of underground loading machine’s working tool crank-rocker mechanism // Journal of Mining Institute. 2015. Vol. 216. p. 104-111.
Problems in geodynamic and ecological safety in the exploration of fields of oil and das, their storage and transporta
  • Date submitted
    2009-10-20
  • Date accepted
    2009-12-11
  • Date published
    2010-09-22

Monitoring of deformation processes of the earth surface with methods of differential interferometric treatment of radar data

Article preview

The Differential Interferometry SAR (DInSAR) has recently become one of the most popular methods to reveal and analyze the subsidence of the ground. This method is considered by researchers to be well suited to solve a problem of small relative ground shifts survey applying the short (centimeter) radio waves.

How to cite: Krivenko A.A., Kashnikov Y.A. Monitoring of deformation processes of the earth surface with methods of differential interferometric treatment of radar data // Journal of Mining Institute. 2010. Vol. 188. p. 225-228.
Problems in geodynamic safety in the exploration of solid deposits
  • Date submitted
    2009-10-14
  • Date accepted
    2009-12-11
  • Date published
    2010-09-22

Investigation of present-day stress-strain state of rock mass by the results of observations at geodynamic polygons

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The methods are suggested for treatment of the results of optical distance and levelling measurements at the underground geodynamic polygons involving in their calculation the tensors of additional stresses and deformations, component of rotation and specific energy of deformability. As an example, consideration is given to changes in time of movements, deformations and specific energy of deformability at one of geodynamic polygons of the Kola peninsular.

How to cite: Savchenko S.N., Kasparyan E.V., Smagina Y.G. Investigation of present-day stress-strain state of rock mass by the results of observations at geodynamic polygons // Journal of Mining Institute. 2010. Vol. 188. p. 112-116.
Problems in geodynamic safety in the exploration of solid deposits
  • Date submitted
    2009-10-01
  • Date accepted
    2009-12-02
  • Date published
    2010-09-22

Specific manifestations of tectonic and seismic activity in Kuzbass

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The conducted observations demonstrated the substantial growth and variation of nature of tectonic and seismic activity in Kuzbas. Growth of geodynamic risks is marked. Methods for study of observable processes are suggested.

How to cite: Ekimov A.I., Tsirel S.V. Specific manifestations of tectonic and seismic activity in Kuzbass // Journal of Mining Institute. 2010. Vol. 188. p. 79-81.
Problems in geodynamic safety in the exploration of solid deposits
  • Date submitted
    2009-10-07
  • Date accepted
    2009-12-22
  • Date published
    2010-09-22

Providing of safe conditions for mining of shaftbottom protective pillars in deep ore mines at Тalnakh

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Consideration is given to the causes complicating the mining of shaftbottom pillar and protection of shaft lining. The analysis is given to the formation of stress-strain state of the protective pillar and its enclosing rocks. Practical recommendations are given for control of deformation and stresses in the shaftbottom mass during extraction of protective pillars in deep ore mines at Talnakh.

How to cite: Zvezdkin V.A., Anokhin A.G., Galaov R.B. Providing of safe conditions for mining of shaftbottom protective pillars in deep ore mines at Тalnakh // Journal of Mining Institute. 2010. Vol. 188. p. 50-53.
Applied and fundamental research in physics and mathematics
  • Date submitted
    2009-09-06
  • Date accepted
    2009-11-14
  • Date published
    2010-06-25

The estimation of mass velocities in a layered roof and dividing pillars of the mining system in the time of influence of shock stress waves

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The mass velocity diagrams transformation in the layered border zone of the mining system in the time of tension explosion waves influence is considered. The explosion wave front is suggested to be parallel to the proximate handing roof environs discontinuity. Under the admitted assumption the mass velocity epures transformation is investigated in the layered roof stone of the mining system and in the dividing pillar.

How to cite: Karpenko V.V., Kolton G.A. The estimation of mass velocities in a layered roof and dividing pillars of the mining system in the time of influence of shock stress waves // Journal of Mining Institute. 2010. Vol. 187. p. 70-74.
Geotechnical engineering, powerengineering and automation
  • Date submitted
    2009-08-05
  • Date accepted
    2009-10-21
  • Date published
    2010-02-01

The autoresonant electric drive of the swinging movement pendular vibration exciter vibration jaw crushers

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To use of the autoresonant electric drive of swinging movement for creation of an oscillative motion of crushing jaws of vibrating jaw crushers it is offered in this article. The control system of the electric drive is developed. The results of imitating and physical modelling of the autoresonant electric drive are presented.

How to cite: Gavrilov Y.A., Zagrivnyi E.A. The autoresonant electric drive of the swinging movement pendular vibration exciter vibration jaw crushers // Journal of Mining Institute. 2010. Vol. 186. p. 116-119.
Problems in geomechanics of technologeneous rock mass
  • Date submitted
    2009-07-19
  • Date accepted
    2009-09-11
  • Date published
    2010-04-22

Calculation of supports of parallel workings divided with yieldable pillars at anthracite seams

Article preview

The article presents the methods for calculation of supports of parallel workings divided with yieldable pillars at anthracite seams. Consideration is given to the development of experimental data card for protection and maintenance of paired conveyor entries with using the steelpolymer anchor supports.

How to cite: Stradanchenko S.G., Titov N.V., Privalov A.A., Turuk Y.V. Calculation of supports of parallel workings divided with yieldable pillars at anthracite seams // Journal of Mining Institute. 2010. Vol. 185. p. 152-157.
Problems in conservation of resources? mine surveying and wise erth's interior utilization
  • Date submitted
    2009-07-20
  • Date accepted
    2009-09-20
  • Date published
    2010-04-22

Problematic aspects in rock movement

Article preview

The paper considers the existing standards in the field of rock movement and protection of engineer constructions from harmful influence of mining operations. It is emphasized the necessity in revision of some standards in compliance with the real mining production.

How to cite: Mustafin M.G., Zelentsov S.N., Kuznetsova E.I., Rozhko A.A. Problematic aspects in rock movement // Journal of Mining Institute. 2010. Vol. 185. p. 227-230.
Problems in geomechanics of technologeneous rock mass
  • Date submitted
    2009-07-17
  • Date accepted
    2009-09-18
  • Date published
    2010-04-22

Transformation of the form and angular parameters of rock movement processes with depth at ore deposits

Article preview

It was established the increase of movement angles with mining depth and the mechanism of forming the stable natural arching in underground mining of ore deposits. The conditions and parameters of forming the stable natural arching were determined, under which the zone of dangerous deformations localizes inside the ore mass and does not manifest itself on the earth surface. The nomogram for analytical determination of the rock movement angles was developed, and the table was drawn up of the natural arching conditions with due account of main mining-and-geological factors of ore deposit occurrence and its mining.

How to cite: Shadrin A.G., Shadrin M.A. Transformation of the form and angular parameters of rock movement processes with depth at ore deposits // Journal of Mining Institute. 2010. Vol. 185. p. 71-75.