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polar coordinates

Mining
  • Date submitted
    2020-06-02
  • Date accepted
    2021-05-21
  • Date published
    2021-09-20

Analysis of technological schemes for creating a geodetic control at the industrial site

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The article highlights the issues of creating with the necessary accuracy a planned control on the industrial site of the engineering structures under construction using satellite technologies and total stations. Depending on the design features of the engineering structures under construction, as well as the technological scheme for the installation of building constructions and industrial equipment, various schemes for creating such control are considered, based on the application of the inverse linear-angular notch. Errors in the source data are one of the main errors that affect the accuracy of geodetic constructions, including the solution of the inverse linear-angular notch. When creating a geodetic network in several stages, the errors of the initial data of the first stage affect the values of the root-mean-square errors (RMS) of determining the position of the second stage points, the errors of which affect the value of the RMS of the position of the third stage points, etc. The reason for their occurrence is the errors of geodetic measurements that occur at each stage of control creating, as well as the stability violation of the points during the production of excavation, construction and installation works. When determining the coordinates of a separate project point at the stage of its removal in-situ by a total station, the entire network is not equalized in the vast majority of cases, and the coordinates of the starting points to which the total station is oriented are considered error-free. As a result, the RMS determination of the points coordinates of the control network or the removal of the design points of the elements of building structures and equipment will also be considered satisfying the requirements, i.e. the measurement accuracy will be artificially overestimated and will not correspond to the actual one obtained. This is due to the fact that the accumulation of errors in the initial data is not taken into account when the number of steps (stages) of control creating increases. The purpose of this work is to analyze the influence of measurement errors and initial data when creating a geodetic control on an industrial site by several stages of its construction based on inverse linear-angular notches and a priori estimation of the accuracy of the determined points position.

How to cite: Ustavich G.A., Nevolin A.G., Padve V.A., Salnikov V.G., Nikonov A.V. Analysis of technological schemes for creating a geodetic control at the industrial site // Journal of Mining Institute. 2021. Vol. 249 . p. 366-376. DOI: 10.31897/PMI.2021.3.5
Geology
  • Date submitted
    2016-10-30
  • Date accepted
    2017-01-02
  • Date published
    2017-04-14

Result of combining data from impulse electrical prospecting and aeromagnetic prospecting for groundwater exploration in the south of Yakutia

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In 2014 in the south of Yakutia in the course of groundwater exploration works a complex of geophysical methods was tested: aeromagnetic and electrical prospecting was carried out using near-field transient sounding and electromagnetic sounding with induced polarization. Prospective structures for hydrogeological drilling are zones of discontinuous tectonic faults. In order to identify them, data from aeromagnetic and electrical prospecting were used. Results of drilling confirmed the presence of watered areas; however, analysis of obtained information allowed to come to the conclusion that the amount of water in the faults has no direct connection to electrical conductivity.

How to cite: Davydenko A.Y., Aikasheva N.A., Bukhalov S.V., Davydenko Y.A. Result of combining data from impulse electrical prospecting and aeromagnetic prospecting for groundwater exploration in the south of Yakutia // Journal of Mining Institute. 2017. Vol. 224 . p. 156-162. DOI: 10.18454/PMI.2017.2.156
Mining
  • Date submitted
    2016-09-18
  • Date accepted
    2016-11-04
  • Date published
    2017-02-22

Development of methods of analytical geometry of a sphere for solving geodesy and navigation tasks

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The article develops ideas and formulas of analytical geometry for spherical surface of the Earth globe in relation to main tasks of global geodesy and navigation. It examines peculiarities of sphere inner geometry and properties of its primary, secondary and higher-order curves. It was proved that spherical hyperbola and parabola are spherical ellipses with specific parameters. The Cartesian ordinates were introduced into the sphere and the relation between them and polar spherical coordinates was established. With the help of central projection of sphere points on tangential plane the corresponding elliptical plane with beltrami ordinates was introduced. The article describes main formulas of analytical geometry for projected elliptical plane, which correspond to geometry of projected sphere. It also introduces several formulas for primary, secondary and higher-order curves for this sphere.

How to cite: Khudyakov G.I. Development of methods of analytical geometry of a sphere for solving geodesy and navigation tasks // Journal of Mining Institute. 2017. Vol. 223 . p. 70-81. DOI: 10.18454/PMI.2017.1.70
Geology
  • Date submitted
    2015-12-29
  • Date accepted
    2016-02-21
  • Date published
    2016-12-23

Poorly studied phenomena in geoelectrics

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Undoubtedly, modern geoelectric technologies emerge in the result of the development of traditional approaches and techniques. However of more interest is the appearance of completely new technologies based on new effects and new models of interaction of geological medium and electromagnetic field. The author does not commit to indicate principally new directions, but only wants to discuss some poorly known facts from the theory and practice of geoelectrics. The outcome of this study could be considered attracting the attention of experts to non-traditional signals in geoelectrics. The reviewed phenomena of interest, not fully implemented in practice in the author’s opinion, are field split into two polarizations: transverse electric (the ТЕ-field) and transverse magnetic (the ТМ-field), then some poorly known properties of ТМ-field, the role of bias currents, the anisotropy of horizontal resistances, the role of geomagnetic field in geoelectric sounding, the unique resolution of CSEM (Controlled Source Electro-Magnetic) techniques at sea.

How to cite: Mogilatov V.S. Poorly studied phenomena in geoelectrics // Journal of Mining Institute. 2016. Vol. 222 . p. 783-788. DOI: 10.18454/PMI.2016.6.783
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.
Geology
  • Date submitted
    2014-12-19
  • Date accepted
    2015-02-27
  • Date published
    2015-12-25

Geological and mathematical model of secondary sulphidisation zone polarizability as a function of oil and gas deposit depth

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The differential-normalized method of electrical exploration (DNME), by means of polarization study of the secondary sulphidation zone (depth ~ 0,4-0,6 km), allows making conclusion about existence and parameters of an oil and gas deposit (depth up to ~ 2-5 km). The approximate solution of the system of nonlinear differential equations in partial derivatives for concentration of sulfur-hydrogen and pyrite (polarizability) as the function of oil-gas deposit depth has been received. The results are confirmed by experimental investigations in the North Sea.

How to cite: Putikov O.F., Ivanov S.A. Geological and mathematical model of secondary sulphidisation zone polarizability as a function of oil and gas deposit depth // Journal of Mining Institute. 2015. Vol. 216 . p. 31-37.
Applied and fundamental research in physics and mathematics
  • Date submitted
    2009-09-19
  • Date accepted
    2009-11-24
  • Date published
    2010-06-25

Distribution of the wave of vertical polarization in the infinite plasma layer with the maximum of the electronic concentration

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The problem of dispersion of a flat wave of vertical polarisation by a plasma layer with a maximum of electronic concentration and infinitesimal losses is considered. With use of the theorem of an average in the new way it is proved that the wave of vertical polarisation will not pass for a point with the maximum of electronic concentration if loss in layer to direct to zero.

How to cite: Denisov A.V. Distribution of the wave of vertical polarization in the infinite plasma layer with the maximum of the electronic concentration // Journal of Mining Institute. 2010. Vol. 187 . p. 59-63.
Geophysics
  • Date submitted
    2008-10-26
  • Date accepted
    2008-12-14
  • Date published
    2009-12-11

MODEM 3D new software for the interpretation of IP-affected 3D tem data

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MODEM 3D software is presented, which is intended for direct modeling of formation processes of electromagnetic fields created by compound inductance-galvanic type sources (earthed horizontal electrical line) in time domain. Numerical stability of used algorithms is displayed on the example of medium, which contains nonstructural oil pool.

How to cite: Ivanov M.I., Kateshov V.A., Kremer I.A., Epov M.I. MODEM 3D new software for the interpretation of IP-affected 3D tem data // Journal of Mining Institute. 2009. Vol. 183 . p. 242-245.
Without section
  • Date submitted
    1908-06-28
  • Date accepted
    1908-08-12
  • Date published
    1908-12-01

Illustration of crystal structure with vector circles

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In the article “Precise imagery of space points on a plane”, the problem of such an image in three different elements is solved: vectorial and ordinary circles, and in parallel vectors. The practical application of images in parallel vectors of a system of mines is also given there. I will now show an essential application of the theory to the representation by vectorial circles of the spatial lattices of each structurally studied crystal.

How to cite: Fedorov Y.S. Illustration of crystal structure with vector circles // Journal of Mining Institute. 1908. Vol. 1 № 4. p. 279-294.