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On the reduction of geodetic and gravimetric measurements on technogenic and geodynamic polygons

Perovych Lev, Perovych Igor, Gorlachuk Valeriy

Geodesy and Cartography

2020

Vol. 69, no. 1

65--72

When conducting geodetic and gravimetric measurements, there is a problem of projecting them to the reference surface. Since the gravitational field is inhomogeneous under the real conditions, the problem arises of determining the corrections to the measured values of gravitational acceleration in order to use the obtained data for the subsequent solutions of projection problems. Currently, the solution to this problem is performed using a Bouguer reduction, which requires information about the internal structure of the upper layer of the earth’s surface, topography, etc. The purpose of this study is to develop a methodological approach that would allow to determine the reduction (projection) corrections for gravitational acceleration on technogenic and geodynamic polygons without using data about the distribution of surface layer density and topography. The research process is based on the use of mathematical analysis methods and a wide range of experimental geodetic and gravimetric measurements. In the course of the performed researches, an algorithm was obtained and a practical implementation of the determination of the corrections in the measured values of gravitational acceleration on the basis of geodetic and gravimetric measurements was carried out at the certain geodynamic polygon in order to bring all corrections to one level surface.

About Accuracy of Calculating Deviations of Plumbing Lines in the Region of International Research Geodetic Polygon of the Western Alps

Tretyak K., Dvulit P., Babiy L.

Geomatics and Environmental Engineering

2015

Vol. 9, no. 3

87--94

Praca dotyczy niektórych metod obliczania odchylenia linii pionu w aspekcie prawidłowości obliczania wartości oraz możliwości wykorzystania wysoko dokładnych modeli geopotencjału do obliczania odchyleń linii pionu. Podjęto próbę określenia rzędu wartości pierwszych poprawek Mołodeńskiego z wykorzystaniem przybliżenia wysokości quasi-geoidy i odchylenia linii pionu w regionie górskim w międzynarodowym obszarze badań geodezyjnych w rejonie Alp Zachodnich. Uzyskane różnice między prawdziwymi i obliczonymi składowymi odchyleń linii pionu można wyjaśnić błędami astronomicznych wyznaczeń składowych odchyleń linii pionu podlegających wpływowi zerowego i pierwszego przybliżenia pola anomalii. Różnice między modelowymi i prawdziwymi składowymi odchyleń linii pionu można uzasadnić nieuwzględnieniem wpływu strefy centralnej pola anomalii.

This work is generalization of some methods for calculating deviations of plumbing lines from a perspective of accuracy of their values calculation and possibilities to use high accuracy models of geopotenthial for calculating deviations of plumbing lines. There was done attempt to determine the order of the value of the first corrections of Molodensky into Stoke approximation of quasigeoid heights and deviations of plumbing lines in the mountain region of the International research geodetic testing area in the region of Western Alps. Established discrepancies between true and calculated components of plumbing line deviations can mainly be explained by errors of astronomic determinations as components of plumbing line deviations includes in fluence of the zeroth and first approximation of field of anomalies. Differences between model and true components of plumbing line deviations can be explained by not considered influence of central and close zone of anomaly field.