RESEARCH OF THE RELIABILITY OF THE GEODETIC NETWORK IN PROVIDING GEODETIC SUPPORT OF CONSTRUCTION
Authors: Biehichev S.V. , Ishutina H.S. , Chumac L.O. 
Published: November 2024

The safety and reliability of buildings and structures as a complex technical system depends not only on the correct consideration of data on the structural features of the building, but also on the behavior of the soil base and on the geodetic support of the construction. Geodetic works are an integral part of the technological process of construction production and belong to the main types of work. Ensuring reliable and safe, long-term operation of buildings and structures of residential, civil, industrial and agricultural purpose, located both in ordinary and in difficult engineering-geological, earthquake-hazardous, mining-geological conditions is an urgent scientific task in our time. Buildings located on artificial territories, on subsiding soils, landslide-prone slopes or in conditions of dense urban development need to determine the development of deformation processes based on the results of periodic geomonitoring at the stage of their operation. The purpose of the work is to create a Markov discrete-continuous stochastic model of the operation of the local geodetic network (GN) to provide geodetic support for construction and perform numerical calculations of the reliability and safety of the GN depending on the features of its restoration. Analyze regulatory and legal documents on the reliability and safety of construction objects. Perform an analysis of methods for assessing the reliability and safety of technical systems. Perform a numerical calculation of reliability, safety and efficiency indicators: availability ratio, limit probability states, mean time between failures, average duration of fault-free operation of the geodetic network (GN). Methodology. Analysis of regulatory documents on the reliability and safety of construction objects. Review of methods for assessing the reliability and safety of technical systems. Application of the state space method, construction of graphs of states and transitions of a renewable geodesic network. Construction of graphs of the readiness function, the probability of operation before the first failure and the frequency of getting into an emergency situation in the Mathcad software tool. Scientific novelty. The state space method allows simulating the behavior of the designed GN in order to identify the time spent in various states of the technical system depending on the intensity of failures of geodetic points and the intensity of their recovery. On the graph of states and transitions, in contrast to the “fault tree” method, it is possible to simultaneously see all possible situations separated by masks of emergency situations. Practical value. Due to the use of stable geodetic points selected based on the results of the performed reliability assessment, there is an opportunity to improve the quality of geodetic construction support. The most expedient scheme of GN restoration has been substantiated. The results of the analysis of the functioning models of the designed GN were used and the calculated values of: availability coefficient, frequency of GN failures and the probability of operation before the first failure. Results. A graphic model of the reliability behavior of GM in the form of a graph of states and transitions has been built. Geodetic network includes 8 points. A system of Kolmogorov-Chapman linear differential equations was compiled and solved. The distribution of probabilities of being in each state of GN has been obtained. The reasonable periodicity of GN restoration depending on the intensity of failures has been substantiated. It has been proven that periodic restoration of geodetic points allows maintaining a given level of GM reliability. This increases the accuracy of geodetic monitoring of construction and ensures functional safety.