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multispectral survey

Geotechnical Engineering and Engineering Geology
  • Date submitted
    2024-09-06
  • Date accepted
    2025-01-28
  • Date published
    2025-03-27

Results of aeromagnetic survey using unmanned aerial system at the Bunger Hills and Highjump Archipelago, Wilkes Land, East Antarctica

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The paper focuses on the technique and results of an aeromagnetic survey conducted using a fixed-wing unmanned aerial system (UAS) in East Antarctica at the Bunger Hills and Highjump Archipelago (Wilkes Land) during the 69th Russian Antarctic Expedition. The above survey was carried out at a 250-meter distance between flight lines (scale 1:25,000) over the area of 600 km 2 to increase the geological knowledge of the area. The magnetic anomaly map obtained after data processing is more detailed than any of known published geological maps of the area. The size of anomalies detected varies from dozens of meters up to large, kilometer-scale structures traced within the entire area under survey. The data analysis shows that the surveyed region is characterized by morphological heterogeneity and amplitude variability of anomalous magnetic field. Along with relatively calm zones one can observe strong gradient ones. Even the fluent analysis of aeromagnetic survey results proves their high information content. The UAS-based survey results demonstrate that the technique implemented is an important tool of applied geophysics and can effectively solve tasks of geological mapping in harsh weather conditions of Antarctica. It can adequately replace conventional aeromagnetic surveys that are now done using manned aircraft.

How to cite: Simakov A.E., Gutorov F.G., Leitchenkov G.L., Golynskii A.V., Antsev V.G., Golynskii D.A. Results of aeromagnetic survey using unmanned aerial system at the Bunger Hills and Highjump Archipelago, Wilkes Land, East Antarctica // Journal of Mining Institute. 2025. p. EDN TYGGUW
Geotechnical Engineering and Engineering Geology
  • Date submitted
    2021-10-27
  • Date accepted
    2023-06-20
  • Date published
    2023-12-25

Geomechanical analysis of the impact of the new tunnels construction in the vicinity of existing underground subway structures on the state of the soil massif

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The specificity of the behavior of the soil massif near the tunnel under construction in difficult mining conditions is considered. It was revealed through the joint interpretation of the results of geophysical measurements in the tunnel and computer simulation. The results of field geophysical studies to identify areas of decompacted soil behind the lining in two existing tunnels during successive drilling of two new tunnels under them are described. A method to analyze the response of the lining to impact was used providing for the calculation of its energy. It has been established that the decompaction zones are mainly located in the lateral lower areas of the tunnel. To substantiate the mechanism of formation of cavities, computer simulations were carried out using the finite element method with the COMSOL Multiphysics software. The finite element model is built on the Drucker – Prager criterion in the variant of a two-dimensional problem statement. It is shown that at the initial position of two old tunnels, the areas of decompaction can develop mainly on the sides. The position of the zones changes significantly when excavating two new tunnels. Soil decompaction zones appear between the tunnels and there is a tendency for the areas to spread to the upper point of the tunnel. According to geophysical data time delays in the impact of new tunnels on the existing line are noted, as well as a decrease in the size of decompacted soil areas over time. There is a satisfactory agreement between the positions of the decompaction areas and voids obtained by the geophysical method and the results of numerical simulation.

How to cite: Nabatov V.V., Voznesenskii A.S. Geomechanical analysis of the impact of the new tunnels construction in the vicinity of existing underground subway structures on the state of the soil massif // Journal of Mining Institute. 2023. Vol. 264. p. 926-936. EDN JNNOAW
Geotechnical Engineering and Engineering Geology
  • Date submitted
    2023-04-14
  • Date accepted
    2023-08-02
  • Date published
    2023-08-28

A method of determining the errors of segmented GRID models of open-pit mines constructed with the results of unmanned aerial photogrammetric survey

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The methodology of building a digital elevation model based on the results of aerial photogrammetric survey from an unmanned aircraft is proposed, which is based on the division of the initial point cloud into equal segments. This allows, having made an assumption of the linear character of change of height of points in a separate segment, to approximate them by separate planes. RMS errors of the models from the survey data were calculated according to the scattering of the points in relation to the approximating surfaces, which made it possible to reveal the dependence of the model construction error relative to the sizes of their constituent segments, as well as to propose a method for filtering the cells containing outliers with respect to the expected model error. The proposed method was tested on the models of three mining objects – limestone quarry, phosphogypsum dump, and peat cut. The experimental results showed a multiple reduction in model error compared to standard DEM models providing the required accuracy for mining documentation.

How to cite: Vystrchil M.G., Gusev V.N., Sukhov A.K. A method of determining the errors of segmented GRID models of open-pit mines constructed with the results of unmanned aerial photogrammetric survey // Journal of Mining Institute. 2023. Vol. 262. p. 562-570. EDN SZOFVD
Geotechnical Engineering and Engineering Geology
  • Date submitted
    2022-10-29
  • Date accepted
    2023-02-13
  • Date published
    2023-04-25

The use of unmanned aerial photography for interpreting the technogenic transformation of the natural environment during the oilfield operation

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The traditional approach to monitoring observations of the technogenic processes development in oilfields, which consists in determining the concentration of marker pollutants in various natural environments, does not provide the necessary completeness of information and the efficiency of its receipt. The paper considers an example of expanding the range of observations due to unmanned aerial photography and a number of other methods. Interpretation signs (for panchromatic survey) were determined that register such consequences of technogenic transformation of the natural environment as mechanogenesis, bitumization, and halogenesis. Technogenic mechanogenesis is understood as a physical violation of the integrity of ecosystems, the movement of soils and grounds. Bitumization is expressed in the migration of petroleum hydrocarbons through soils, ground, surface, subsurface, and underground waters, and their destruction. Salt migration in these media is defined as halogenesis. The most reliable indicators are linearly elongated areas of dead forests, dark red spots in drying microdepressions and reservoirs. It was found out that the oilfield impact on the raised bog leads to anthropogenic eutrophication, the introduction of plant species, uncharacteristic coenotic groups, the replacement of subshrubs with grasses, and morphometric changes in forest pine. In the peat deposits of the disturbed area, an unusual interlayer of whitish, undecomposed moss was recorded. The moment of the beginning of a pronounced technogenic transformation was registered in the course of work with the archive of multispectral space images. Continuous remote sensing with the help of unmanned aerial photography and interpretation by sedimentological, geobotanical methods significantly expand the possibilities of studying the technogenic transformation of the natural environment. To ensure environmental safety, it is advisable to develop remote methods and technologies to include them in the environmental monitoring system.

How to cite: Buzmakov S.A., Sannikov P.Y., Kuchin L.S., Igoscheva E.A., Abdulmanova I.F. The use of unmanned aerial photography for interpreting the technogenic transformation of the natural environment during the oilfield operation // Journal of Mining Institute. 2023. Vol. 260. p. 180-193. DOI: 10.31897/PMI.2023.22
Geotechnical Engineering and Engineering Geology
  • Date submitted
    2022-01-21
  • Date accepted
    2022-11-14
  • Date published
    2023-08-28

Strategy of mine ventilation control in optimal mode using fuzzy logic controllers

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The issues related to improving the efficiency of automatic ventilation control systems of mines that regulate the air supply to the mine in accordance with the need are considered. During the tests of such a system in the 3RU mine of OAO Belaruskali, the shortcomings of its existing, implementation, associated with the incorrect choice of the most difficult-to-ventilate direction, were revealed. The possibilities of implementing a control strategy, in which the system automatically determines the optimal configuration of the operating modes of fans and regulators, are demonstrated. As an alternative to the implemented algorithms, it is proposed to use a fuzzy control device to account for the nonlinearity of the dependence of the input and output parameters of ventilation equipment and to set the conditions for the optimal operating mode of the system in a declarative form. To assess the effectiveness of the proposed approach, the data of simulation modeling of the current ventilation mode and the transition from one ventilation mode to another are analyzed with comparison with the actual data of the system operation. The simulation results show that the use of an upgraded control scheme for the main ventilation fan based on fuzzy logic in the implementation of automatic ventilation control systems makes it possible to eliminate the possibility of a shortage of fresh air in the regulated directions of its movement, as well as excessive power consumption of the main ventilation fan.

How to cite: Kashnikov A.V., Kruglov Y.V. Strategy of mine ventilation control in optimal mode using fuzzy logic controllers // Journal of Mining Institute. 2023. Vol. 262. p. 594-605. DOI: 10.31897/PMI.2022.75
Geotechnical Engineering and Engineering Geology
  • Date submitted
    2021-10-31
  • Date accepted
    2022-04-26
  • Date published
    2022-07-13

Identification of structural control factors of primary gold ore occurrences by method of unmanned aeromagnetic survey by the example of the Neryungrisky district of Yakutia

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The long-term development of the geophysical industry, in which the methods of magnetometry are in maximum demand, as the simplest in instrumental and methodological execution, has determined the development of remote measurement methods implemented both from space and airborne carriers. The necessity to use the latter as an obligatory component of field surveys, providing coverage of significant areas, determines the need for using the unmanned low-tonnage carriers. Their use is implemented to search for predictive elements of structural (spatial, genetic) control of endogenous gold ore occurrences that allow predictive constructions, i.e., solving the problem of increasing gold reserves, which is being performed within the framework of federal programs. The purpose of the survey is to develop a system of instrumental and subsequent interpretation approaches in the organization of unmanned magnetometer survey, implemented for structural and geological mapping by the example of the Neryungrinsky district of Yakutia. Within the framework of the digital model formation of the relief and the anomalous magnetic field, a survey method using an unmanned aircraft, its technical characteristics are considered; the analysis and the author's modification of the office analysis of magnetometry data are performed. Based on the obtained materials, a physical and geological model of the investigated area was created, which is presented in the form of a geological and structural cut, accompanied by the physical characteristics of the structural and material complexes. The refinement of the physical and geological model was implemented by a joint morphostructural analysis of the remote base and the anomalous magnetic field using the results of quantative interpretation of the anomalous magnetic field. The result of the study is presented by an updated geological basis with the allocation of promising ore sites for their detailing as part of the planned large-scale geological and geophysical surveys. The scientific novelty of the work consists in the synthesis of the tried and tested methods of unmanned aeromagnetometric measurements and geostructural reconstructions, which allow the processing of both potential and non-potential geofields.

How to cite: Movchan I.B., Shaygallyamova Z.I., Yakovleva A.A. Identification of structural control factors of primary gold ore occurrences by method of unmanned aeromagnetic survey by the example of the Neryungrisky district of Yakutia // Journal of Mining Institute. 2022. Vol. 254. p. 217-233. DOI: 10.31897/PMI.2022.23
Geotechnical Engineering and Engineering Geology
  • Date submitted
    2021-07-19
  • Date accepted
    2022-05-31
  • Date published
    2022-07-13

Study of a set of factors influencing the error of surveying mine facilities using a geodesic quadcopter

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The factors influencing the qualitative and quantitative components of the result of surveying in open-pit mining using a quadcopter were identified and systematized, and the mathematical dependence of the influence of factors on the final error of surveying was determined. After a large number of field observations – numerous flights of a geodesic quadcopter over mining facilities – the subsequent mathematical justification of the results of the aerial photogrammetric surveying was made, which allowed to analyze the degree of participation in the final accuracy of the survey of each of the considered factors. The results of this study demonstrate the source of errors, which provide the surveyor with the opportunity to efficiently and competently carry out pre-flight preparation and planning of fieldwork. The study and subsequent consideration of the factors affecting the accuracy of surveying with the use of an unmanned aerial vehicle are the basis for the subsequent development and formation of a methodology for using a geodesic quadcopter in the conditions of open-pit mining.

How to cite: Gusev V.N., Blishchenko A.A., Sannikova A.P. Study of a set of factors influencing the error of surveying mine facilities using a geodesic quadcopter // Journal of Mining Institute. 2022. Vol. 254. p. 173-179. DOI: 10.31897/PMI.2022.35
Geotechnical Engineering and Engineering Geology
  • Date submitted
    2021-10-08
  • Date accepted
    2022-01-24
  • Date published
    2022-04-29

Methodology for thermal desorption treatment of local soil pollution by oil products at the facilities of the mineral resource industry

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The analysis of the main environmental consequences of leaks and local spills of petroleum products at the enterprises of the mineral resource complex is presented. It is established that the problem of soil contamination with petroleum products at the facilities of the mineral resource complex and enterprises of other industries is caused by significant volumes of consumption of the main types of oil products. Based on the results of the author's previous field research, a series of experiments was carried out, consisting in modeling artificial soil pollution with petroleum products such as gasoline, diesel fuel, highly refined oil, motor oil, and transmission oil, followed by their purification by heat treatment at temperatures of 150, 200, and 250 °C. The 250 °C limit of the heating temperature was set due to the need to partially preserve the structure and quality of the soil after heat treatment to preserve its fertility. When the processing temperature rises to 450 °C, all humates are completely burned out and, as a result, productivity is lost. Confirmation is provided by the results of experiments to determine the humus content in uncontaminated soil and soil treated at different temperatures. It was found that at a maximum processing temperature of 250 °C, about 50 % of the initial organic carbon content is preserved. According to the results of the conducted experimental studies, the dependences of the required processing temperature on the concentration of petroleum products to reduce the concentration of petroleum products to an acceptable level have been established. The methodology of thermal desorption cleaning of soils with varying degrees of contamination at enterprises of the mineral resource complex is presented.

How to cite: Pashkevich M.A., Bykova M.V. Methodology for thermal desorption treatment of local soil pollution by oil products at the facilities of the mineral resource industry // Journal of Mining Institute. 2022. Vol. 253. p. 49-60. DOI: 10.31897/PMI.2022.6
Geotechnical Engineering and Engineering Geology
  • Date submitted
    2021-04-11
  • Date accepted
    2021-10-18
  • Date published
    2021-12-16

Comprehensive assessment and analysis of the oil and gas potential of Meso-Cenozoic sediments in the North Caucasus

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At the present stage, the development of the oil and gas industry in the Russian Federation is impossible without replenishing the raw material base, so the urgent task is to conduct investigations, prospecting and evaluation of oil and gas bearing capacity prospects in undiscovered areas. The purpose of the investigations is to analyze facies and thicknesses, choose the methodology of prospecting and exploration in reservoirs, make a comprehensive assessment of oil and gas bearing capacity prospects based on experimental investigations and construct a map of oil and gas bearing capacity prospects of the studied sediment structure. The methodology of the conducted investigations was to identify and trace zones of increased fracturing by qualitative interpretation of time seismic sections. Methods for qualitative interpretation of time seismic sections, the model of physical, chemical and geochemical criteria developed by I.A.Burlakov, gas and geochemical surveying and correlation analysis were used in the investigations. A number of prospecting criteria, established based on the analysis of reference seismic materials on well-studied areas in comparison with the results of well tests, were also used. Structural plan for forecast prospects of oil and gas bearing capacity in the studied area was made; zonal and local objects with prospects for oil and gas were identified. Graphical plotting of Eh and pH concentrations distribution and various gas and geochemical indicators allowed identifying zones of possible oil and gas accumulations and starting their detailed survey. Processing of gas and geochemical materials by means of software allowed efficient assessment of prospects for oil and gas bearing capacity of the investigated objects.

How to cite: Bosikov I.I., Мaier A.V. Comprehensive assessment and analysis of the oil and gas potential of Meso-Cenozoic sediments in the North Caucasus // Journal of Mining Institute. 2021. Vol. 251. p. 648-657. DOI: 10.31897/PMI.2021.5.4
Geology
  • Date submitted
    2021-03-16
  • Date accepted
    2021-07-27
  • Date published
    2021-10-21

Allocation of a deep-lying brine aquifer in the rocks of a chemogenic section based on the data of geophysical well logging and 2D seismic exploration

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Advancement in the production of potassium fertilizers is an important strategic task of Russian agricultural industry. Given annually growing production rates, the reserves of discovered potassium-magnesium salt deposits are noticeably decreasing, which creates the need to ensure stable replenishment of the resource base through both the discovery of new deposits and the exploitation of deep-lying production horizons of the deposits that are already under development. In most cases, deposits of potassium-magnesium salts are developed by underground mining. The main problem for any salt deposit is water. Dry salt workings do not require any additional reinforcement and can easily withstand rock pressure, but with an inflow of water they begin to collapse intensively – hence, special attention is paid to mine waterproofing. Determination of spatial location, physical and mechanical properties of the aquifer and water-blocking stratum in the geological section represent an important stage in the exploration of a salt deposit. The results of these studies allow to validate an optimal system of deposit development that will minimize environmental and economic risks. On the territory of Russia, there is a deposit of potassium-magnesium salts with a unique geological structure – its production horizon lies at a considerable depth and is capped by a regional aquifer, which imposes significant limitations on the development process. To estimate parameters of the studied object, we analyzed the data from CDP seismic reflection survey and a suite of methods of radioactive and acoustic well logging, supplemented with high-frequency induction logging isoparametric sounding (VIKIZ) data. As a result of performed analysis, we identified location of the water-bearing stratum, estimated average thickness of the aquifers and possible water-blocking strata. Based on research results, we proposed methods for increasing operational reliability of the main shaft in the designed mine that will minimize the risks of water breakthrough into the mine shaft.

How to cite: Danileva N.A., Danilev S.M., Bolshakova N.V. Allocation of a deep-lying brine aquifer in the rocks of a chemogenic section based on the data of geophysical well logging and 2D seismic exploration // Journal of Mining Institute. 2021. Vol. 250. p. 501-511. DOI: 10.31897/PMI.2021.4.3
Mining
  • Date submitted
    2018-11-03
  • Date accepted
    2019-01-21
  • Date published
    2019-04-23

Estimation of critical depth of deposits by rock bump hazard condition

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During the development of minerals by the underground method, dynamic manifestations of rock pressure occur at a certain depth, which significantly reduces the safety of mining operations. Regulatory documents prescribe at the exploration and design stages to establish the critical depth for classifying a deposit as liable to rock bumps. Currently, there are a number, mainly instrumental, methods for determining the liability of rock mass to rock bumps and methods based on the determination of physical and technical properties and the stress-strain state of rock massifs. The paper proposes a theoretical method for determining the critical depth for classifying a deposit as liable to rock bumps. A formula for determining the critical depth of the rock bump hazard condition is obtained. A mathematical analysis of the influence of the physical and technical parameters of the formula on the critical depth is carried out. Its physical and mathematical validity is substantiated. The numerical calculations of the critical depth for 17 developed fields were carried out using a simplified formula. It also provides a comparison of calculated and actual critical depth values. It is established that the variation of the actual and calculated critical depth is due to the lack of actual data on the value of the friction coefficient and parameters of fracturing of the rock mass in the simplified formula. A simplified calculation formula can be used to estimate the critical depth of a field at the survey and design stages. More accurate results can be obtained if there are actual data on fracture parameters, friction coefficients and stress concentration near the working areas.

How to cite: Tyupin V.N. Estimation of critical depth of deposits by rock bump hazard condition // Journal of Mining Institute. 2019. Vol. 236. p. 167-171. DOI: 10.31897/PMI.2019.2.167
Electromechanics and mechanical engineering
  • Date submitted
    2014-10-13
  • Date accepted
    2014-12-22
  • Date published
    2015-08-25

Optimum operating zones selection methods for multispectral overhead power lines remote sensing devices

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The article describes the main methodological aspects of designing multispectral optoelectronic devices intended for remote sensing of overhead power lines. Based on proposed indicators and detection criteria a method for selecting operating spectral zones for these devices is suggested, methods of researching into their efficiency and the results of simulating the process of their operation are described.

How to cite: Shpenst V.A. Optimum operating zones selection methods for multispectral overhead power lines remote sensing devices // Journal of Mining Institute. 2015. Vol. 214. p. 92-101.
Problems in conservation of resources? mine surveying and wise erth's interior utilization
  • Date submitted
    2009-07-22
  • Date accepted
    2009-09-22
  • Date published
    2010-04-22

Surveying methods for providing geodynamical safety of mining operations

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It is impossible to solve the main task of geodynamics without using technologies including traditional measurements of bench marks excursion, as well as new technologies of the end of XX – beginning of XXI century, such as photogrammetry, global positioning system, laser measurements and technologies of geophysical well logging. The paper concerns with the analysis of the mine surveying methods facilitating the solution of tasks related to the geodynamical safety assurance.

How to cite: Kuznetsova E.N. Surveying methods for providing geodynamical safety of mining operations // Journal of Mining Institute. 2010. Vol. 185. p. 240-242.
Problems in conservation of resources? mine surveying and wise erth's interior utilization
  • Date submitted
    2009-07-04
  • Date accepted
    2009-09-12
  • Date published
    2010-04-22

New technologies of conducting mine surveying works

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The paper presents principles for arrangement of mine surveying works. It is shown the role of new mine surveying and geodetic instruments and also new methods for application of these instruments in mineral mining.

How to cite: Smirnov S.P. New technologies of conducting mine surveying works // Journal of Mining Institute. 2010. Vol. 185. p. 212-215.
Problems in conservation of resources? mine surveying and wise erth's interior utilization
  • Date submitted
    2009-07-02
  • Date accepted
    2009-09-30
  • Date published
    2010-04-22

On mechanisms for improvement of mine surveying works

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The article considers the aspects concerned with the improvement of mine surveying under conditions of market relations. It is shown that the financing of the urgent problems in safe mining operations related to the utilization of the Earth's interior, is practically absent on the federal level. In this connection, the development of the federal programme «Safe Utilization of Mineral Resources and Conservation of Reserves» is a high-priority task, which should include also the aspects of geodynamic safety in mining.

How to cite: Gritskov V.V. On mechanisms for improvement of mine surveying works // Journal of Mining Institute. 2010. Vol. 185. p. 209-211.
Mine survey
  • Date submitted
    1951-07-01
  • Date accepted
    1951-09-29
  • Date published
    1952-03-26

Notes on the derivation of formulas for determining the direction error from the eccentricity of the theodolite or signals

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For assessing the impact of a design error on the accuracy of transmitting directions to a mine, existing mine surveying guidelines usually recommend formula (1) (see article). Using the same reasoning, a well-known formula is usually derived for assessing the accuracy of measuring angles in polygons depending on the impact of signal and instrument eccentricity. The above conclusion does not answer the question: what kind of error should be understood by the value of ex, which in existing guidelines is usually called the "average linear error" [1] or simply "linear error" [2]. Clarification of the meaning of the error ex is absolutely necessary when making practical calculations, since several characteristics of position accuracy are used in error theory, among which the most commonly used are the average linear error of position and the average linear error in direction.

How to cite: Nizguretskii Z.D. Notes on the derivation of formulas for determining the direction error from the eccentricity of the theodolite or signals // Journal of Mining Institute. 1952. Vol. № 1 26. p. 137-140.
Mine survey
  • Date submitted
    1951-07-15
  • Date accepted
    1951-09-03
  • Date published
    1952-03-26

Comparative analysis of joint and separate adjustment of two points of mine survey triangulation

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The article studies the relationship between the errors in the position of two mine triangulation points rigidly inserted into the existing base network, with their separate and joint adjustment. The solution to this problem is of considerable interest to mine surveying practice when replenishing the existing mine triangulation network with new points as mining operations develop. In this case, when inserting new points, the mine surveyor is forced to accept previously determined points as initial ones, due to which sometimes a significant number of stages in constructing the network arises and its accuracy is reduced to a certain extent. The mine surveyor must be able to quantitatively assess the loss of accuracy of network elements caused by separate adjustment of existing and newly determined points, and on this basis decide on the choice of one or another scheme for inserting points and the most appropriate use of the reference network when solving mine surveying and other engineering problems. If the mine network points are determined simultaneously, then preference, of course, should be given to their joint adjustment, since under normal conditions it always increases the weight to a certain extent elements of the network. But even in this case, the results obtained in the article are of interest, since they shed new light on the issue of the relationship between the weights of network elements in separate and joint equalization of the points being determined and allow a more correct assessment of the merits of the latter.

How to cite: Zdanovich V.G. Comparative analysis of joint and separate adjustment of two points of mine survey triangulation // Journal of Mining Institute. 1952. Vol. № 1 26. p. 103-111.
Mining
  • Date submitted
    1951-07-15
  • Date accepted
    1951-09-08
  • Date published
    1952-03-26

Taking into account the influence of errors of initial points when assessing the accuracy of mine survey triangulation networks

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When using formulas of the theory of errors and the method of least squares for assessing the accuracy of triangulation networks, it is necessary to strive for the most complete consideration of all sources of errors that affect the accuracy of determining the elements of the network. This applies primarily to the influence of errors in the initial data, the issue of taking into account which has repeatedly attracted the attention of geodesists and mine surveyors. In the existing works devoted to this issue, the most detailed solution is based on the direct application of the main formula of the theory of errors to the function of interest to us, which is preliminarily expressed through directly measured quantities (see article). The strict formulas given in the mentioned works, however, are difficult to apply to the analysis of the accuracy of mine survey triangulations, which are usually rigid networks of the lowest construction queues and have a significant amount of initial data. The use of these formulas is associated with the production of very cumbersome calculations that do not have sufficient clarity and hide from the calculator the mechanism of accumulation of errors in the network, thereby complicating the transition to approximate methods of assessing accuracy. To solve some specific problems of assessing the accuracy of network elements encountered in mine surveying practice, it is possible to derive special formulas that solve these problems much more simply and clearly.

How to cite: Zdanovich V.G. Taking into account the influence of errors of initial points when assessing the accuracy of mine survey triangulation networks // Journal of Mining Institute. 1952. Vol. № 1 26. p. 113-135.
Mine survey
  • Date submitted
    1950-07-27
  • Date accepted
    1950-09-05
  • Date published
    1951-04-30

An Approximate Estimation of the Accuracy of the Sides of a Solid Filling Triangulation Network

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State triangulations developed in the form of continuous networks based on first-class series extend a single coordinate system over the territory of a mining basin and serve as a basis for developing reference mine survey networks. Using the sides of the state triangulation network as initial ones, the mine surveyor must naturally be able to at least approximately estimate their accuracy. This applies mainly to filling networks of the second class, which still have to be used as a basis for developing mine networks and which in some cases can only with difficulty provide the required accuracy. In this case, the mine surveyor is primarily interested in the errors in the lengths of the sides of the base network involved in scaling the mine triangulation. To perform an accuracy analysis, the mine surveyor usually has only the coordinates of the points and a diagram of the base network. This makes it very laborious to use strict formulas of the least squares method for assessing the accuracy and pushes the mine surveyor to use approximate methods for calculating errors, often not tested in practice. In this article, we study the mechanism of accumulation of errors of the sides and, on this basis, provide an analysis and further development of approximate methods for estimating the accuracy of the sides of a continuous filling network. In this case, we limited ourselves to considering only the errors of the network sides that depend on the influence of errors in the measured values ​​involved in the adjustment of the network, and did not touch on the issues of the influence of errors in the initial data.

How to cite: Zdanovich V.G. An Approximate Estimation of the Accuracy of the Sides of a Solid Filling Triangulation Network // Journal of Mining Institute. 1951. Vol. № 1 25. p. 95-110.
Mine survey
  • Date submitted
    1948-07-05
  • Date accepted
    1948-09-09
  • Date published
    1949-11-04

On the issue of calculating the weights of unknowns when solving normal equations using the Gauss method

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It is known from the theory of accuracy analysis of mediocre measurements that the solution of a system of normal equations by the Gauss method simultaneously yields the weight of the last unknown by order of elimination, which is equal to the coefficient of this unknown in the last equation. It is also known that the weight of the penultimate unknown is easily determined by the weight of the latter. To determine the weights of the remaining unknowns, it is necessary to make more or less significant additional calculations, the difficulty of which increases with the increase in the number of unknowns to be determined. Back in the early 30s of the last century, the astronomer Encke recommended, for example, to determine the weights of unknowns by performing repeated solutions of normal equations by rearranging not only the equations, but also the unknowns themselves, and the number of re-solutions of normal equations (according to Encke) is half the number of normal equations. It is easy to see that Encke's method is based only on theorems on the weights of the last and penultimate unknowns. A more advanced method for calculating the weights of unknowns is the method of undetermined factors (weight coefficients), which was proposed in the first half of the last century and has since become established in astronomical and geodetic practice.

How to cite: Romanov V.L. On the issue of calculating the weights of unknowns when solving normal equations using the Gauss method // Journal of Mining Institute. 1949. Vol. 23. p. 159-166.