Modelling geodetic network to improve reliability of surveying providing of mining operations

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Authors:

S.V.Biehichev, Cand. Sc. (Tech.), Assoc. Prof., State Higher Educational Institution “Prydniprovs’ka State Academy of Civil Engineering and Architecture”, Dnipro, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.; This email address is being protected from spambots. You need JavaScript enabled to view it.; This email address is being protected from spambots. You need JavaScript enabled to view it.

H.S.Ishutina, Cand. Sc. (Tech.), State Higher Educational Institution “Prydniprovs’ka State Academy of Civil Engineering and Architecture”, Dnipro, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.; This email address is being protected from spambots. You need JavaScript enabled to view it.; This email address is being protected from spambots. You need JavaScript enabled to view it.

L.O.Chumak, Cand. Sc. (Tech.), Assoc. Prof., State Higher Educational Institution “Prydniprovs’ka State Academy of Civil Engineering and Architecture”, Dnipro, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.; This email address is being protected from spambots. You need JavaScript enabled to view it.; This email address is being protected from spambots. You need JavaScript enabled to view it.

Abstract:

Purpose. The purpose of this work is to develop a model of a geodetic reference network (in the form of a transition graph), which is located on the territory of mining leases and is prone to disruption as a result of impact of man-made factors to improve the reliability of surveying maintenance of open and underground mining.

Methodology. To assess the state of geodetic framework using graph theory and stochastic processes the estimation of its reliability has been done. The analytical model of surveyor-geodetic network as a graph of conversions has been developed. The matrix of conditional distribution functions of duration of stay of the geodetic network in different states and matrix of transition probabilities from the previous state to the next has been complied. The average time of duration of stay of geodetic network in a reliable and unreliable state using semi-Markov process has been estimated.

Findings. The choice of mathematical model which describes the state of geodetic network in a particular time to the fullest extent possible has been substantiated. The length of stay of geodetic network in each of its possible fixed states has been determined.

Originality. The use of graph theory and stochastic processes to create a mathematical model of transitions of surveyor-geodetic network of a reliable state into an unreliable one as a result of displacement of rocks, the earth’s surface and geodetic points located on it has been proposed for the first time. The duration of stay of the geodetic network in each of its possible fixed states has been determined. It allows carrying out a complex of works timely to restore geodetic network to ensure reliable surveying mining and experimental studies.

Practical value. The creation of a mathematical model of the geodetic network in the form of the transition graph by applying graph theory and semi-Markov process, allows identifying the time of decrease in reliability of geodetic networks as a result of displacement of rocks under the influence of underground workings and its timely restoration up to reliable condition.

References

1. Kadigrob, S.V. and Katkova, T.Y., 2011. Fuzzy semi-Markov models of systems. Systemy obrobky informaciji, 4(94), pp. 24‒27.

2. Boyarinov, Yu.G., 2011. Analysis of complex technical systems for mining industry using fuzzy semi-Markov models. Gornyy informatsionno-analiticheskiy byulleten (nauchno-tekhnicheskiy zhurnal), 7, pp. 322‒330.

3. Kucher O.V., 2012. The implementation of the state reference frame the coordinate system of Ukraine. Problemy i resheniya, 3(46), pp. 67‒73.

4. Decree of the State Service of Geodesy, Cartography and Cadastre, 2000. Instruction on inspection and upgrade of points of the State Geodetic Network of Ukraine. Kyiv, Ukrheodezkartohrafiya Publ.

5. The Main Administration of Geodesy, Cartography and Cadastre at the Cabinet of Ministers of Ukraine, 1998. Instruction on topographic survey on scales 1 : 5000, 1 : 2000, 1 : 1000 and 1 : 500 (GKNTA-2.04-02-98). Kyiv, Ukrheodezkartohrafiya Publ.

6. Zuska, A., Yankin, O. And Ishutina, H., 2017. Observation of dynamics of landslides within built-up slopes of ravines in the city of Dnipro. European Journal of Technical and Natural Sciences, 2, pp. 15‒20.

7. Erol, S., Erol, B. and Ayan, T. A general review of the deformation monitoring techniques and a case study: analyzing deformations using GPS/leveling. ITU, Civil Engineering Faculty, Geodesy division. Available at: <http://www.isprs.org/proceedings/XXXV/congress/comm7/papers/123.pdf> [Accessed 23 January 2017].

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Date 2017-07-23 Filesize 231.78 KB Download 293

Tags: surveyor-geodetic networksemi-Markov processgraph theorymodeling

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