Abstract
Abstract Horizontal control networks established with monuments are functional if the conditions related to the number of control points, their density, condition and stability of coordinates are met. For functionality defined in those terms, deterministic accuracy characteristics are of little use. The subject matter discussed herein includes the two key features of geodetic control points, i.e., usability and stability. Due to the varying properties of those variables and the impact of the operating time of the system, there is no alternative to reliability-based approach in developing the functionality model. The measures of functionality and the procedures of data acquisition for developing the model of the control network destruction process have been defined. The solution presented herein is relevant for geodetic practice, providing a standard procedure for defining the time frame and the scope of the control network upgrading. The identified destruction process model optimizes this task assuming critical states expressed by the functionality probability. The applied approach is an example of the reliability theory-based approach typical for engineering. The issue of simulating the destruction process is illustrated with the results of the tests of class 3 control networks conducted in Kielce and Lodz regions in Poland. As a result of the tests, the characteristic properties of the control network destruction process have been identified. It was also shown how the patterns of usability and accuracy of the geodetic control points are relevant on the stage of implementing investment project tasks.
Highlights
Horizontal control networks established with monuments are functional if the conditions related to the number of control points, their density, condition and stability of coordinates are met
In the study results presented the impact of the measurement error was ignored, arguing that for the RTK GNSS measurement, the error does not exceed 1–3 cm, with the acceptable fXY deviation of 0.12 m
The value of risk λ is determined from the following relation: λ ln np Np where Tp is the period of study from baseline, Np is the number of geodetic control points according to the catalogue, and np is the number of control points that meet the requirement of both usability and stability
Summary
Abstract: Horizontal control networks established with monuments are functional if the conditions related to the number of control points, their density, condition and stability of coordinates are met. As a result of the tests, the characteristic properties of the control network destruction process have been identified It was shown how the patterns of usability and accuracy of the geodetic control points are relevant on the stage of implementing investment project tasks. In the case of a study of the control network functionality, we have only one information, i.e., the total number of geodetic monuments that meet the usability and stability criteria in the period of time since the last upgrade. The functionality of the individual control points is assessed based on the statistical set in which each element is the resultant of usability and stability In such cases, the value of risk λ is determined from the following relation: λ.
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