Mathematical models of water surface for geodetic support of construction in agro-industrial complex

Abstract

The purpose of the study was to analyze the possibilities of using mathematical models of the water (level) surface of rivers and reservoirs for the transfer of elevations. The use of an empirical mathematical model obtained for the Irtysh River near the city of Omsk makes it possible to determine the heights in the investigated area with an accuracy of about 0.1 m. To determine the level of the water edge at the selected area, it is necessary to obtain: the mark of the water edge at the gauging station; the distance along the river from the gauging station to the work site. It is advisable to fix the water level at the gauging station and the work site simultaneously. For the elevation transfer from one river bank to another by the III class leveling program, the authors propose the technology of laying temporary benchmarks on the banks, fixing the level using special devices, and transferring the elevations of the fixed water level to temporary benchmarks. The technology contains the devices of simple design for accurate level fixing. The factors influencing the accuracy of the height transmission are: fixing the water level, the centrifugal forces of the flow, the Coreolis force caused by the rotation of the Earth, and the wind surge. The authors calculated the expected values of errors determining the accuracy: for fixing the level it was about 1 mm according to the proposed method; the height difference at the banks due to the forces of Coreolis was 0.007 m; the influence of centrifugal forces at a turning radius of 500 m causes a difference in heights at opposite banks of 0.1 m. In the result, the authors proposed the recommendations developed for transferring heights from one river bank to another using a class III leveling program, which ensure the specified accuracy.