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Abstract

Several surface measurement methods for determining the volume of deep or layered stone exist.

One of the key indicators of coal extraction efficiency in open cast mining is to determine the volume

of excavated rock. Procedures for determining the volume have been used for many centuries.

Determining the extracted volume or layered material has been a periodically recurring role of mine

-surveying practice, and mine surveyors apply different methods for its determination. The incorrect

determination of the rock volume may result in large economic losses of the mining enterprise. The

choice of the method for determining the volume depends on the deadline by which the determined

volume has to be submitted to the superior components or the mining enterprise management, as well

as on the requirements for accuracy of the volume determination, and a financial limit beyond which

this volume determination has to be done. Secondary conditions for determining the volumes include

the level of personnel training in the individual procedures and methods of measuring and calculating

volumes, the technical standards of the enterprise, the applied instrumentation, hardware and

software. The article compares the values of the accurately defined mathematical solid (a cylindrical

segment) to the methods of calculating the volume normally used in mining and surveying practice

and programs commonly used to calculate volumes in order to determine the threshold value of the

systematic deviation in input measurements to determine the volume. The mathematical model is the

basis for determining the correct volumes of the extracted material. The surface of the drawn or layered

material does not form a smooth surface as a mathematical model. The process of determining

volume errors on the mathematical model has been verified on the real body of coal deposition. The

comparison of the determination of the errors between the digital terrain model on the mathematical

body and the real homogenization coal stock is presented at the Conclusion of the article.

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Authors and Affiliations

Hana Staňková
Vaclav Šafář
Rostislav Dandoš
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Abstract

Slope deformations, i.e., all types of landslides of rock masses (flow, creep, fall down, etc.), caused by gravitational forces, are the most widespread implementation of geological hazards and a negative geomorphological phenomenon that threatens the security of the population, destroy all utility values of the affected regions, negatively affects the environment, and cause considerable economic damage. Nowadays, the Global Navigation Satellite Systems (GNSS) provide accurate data for precise observations around the world due to the growing number of satellites from multiple operators, as well as more powerful and advanced technologies and the implementation of mathematical and physical models more accurately describing systematic errors that degrade GNSS observations such as ionospheric, tropospheric, and relativistic effects or multipath. The correct combination of measurement methods provides even more precise, i.e., better measurement results or estimates of unknown parameters. The combination of measurement procedures and their significant evaluations represent the essential attribute of deformation monitoring of landslides concerning the protection of the environment and the population’s safety in the interest areas for the sustainable development of human society. This article presents the establishment and use of a local geodetic network in particular local space for various needs. Depending upon the specific conditions, it is possible to use GNSS technology to obtain accurate observations and achieve the results applicable to the deformation survey for subsequent processing of the adjustment procedure.
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Authors and Affiliations

Gabriel Weiss
1
ORCID: ORCID
Slavomir Labant
1
ORCID: ORCID
Juraj Gasinec
1
ORCID: ORCID
Hana Stankova
2
ORCID: ORCID
Pavel Cernota
2
ORCID: ORCID
Erik Weiss
3
ORCID: ORCID
Roland Weiss
3
ORCID: ORCID

  1. Technical University of Kosice, Kosice, Slovakia
  2. VSB – Technical University of Ostrava, Ostrava, Czech Republic
  3. University of Economics in Bratislava, Bratislava, Slovakia

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