Abstract
In many fields of geophysics and geodesy, it is required to know the deflection of the plumb line (PLD). With the airborne gravity measurements, by applying the gravimetric method, one can calculate the PLD in both the flat and mountainous terrain conditions. In the last case, the formulas for the calculations should include the correction for the effects of the topographic masses (the terrain correction). By using the method of S-approximations, which is based on representing the harmonic functions by the sum of the potentials of the simple and double layers on a certain support (e.g., on a horizontal plane), we have reconstructed the gravity field in each spatial point (at each measurement height), in particular, on the surface of the reference ellipsoid. We have developed the programs for computing the PLD by the Vening Meinesz formulas, which yield the zero approximation of PLD, and suggested the method for reconstructing the anomalous fields based on the S-approximations. The interpretation of the gravity data was also carried out by the method of R-approximations, which relies on the Radon transform. We present the results of the practical calculations for two regions of the Atlantic Ocean.
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Original Russian Text © V.N. Koneshov, E.A. Boyarsky, I.E. Stepanova, L.V. Afanas’eva, D.N. Raevskii, 2015, published in Fizika Zemli, 2015, No. 1, pp. 128–138.
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Koneshov, V.N., Boyarsky, E.A., Stepanova, I.E. et al. A new method for calculating the plumb line deflection based on S- and R-approximations: Testing in the Atlantics. Izv., Phys. Solid Earth 51, 124–133 (2015). https://doi.org/10.1134/S1069351314050036
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DOI: https://doi.org/10.1134/S1069351314050036