A method for calculating the plumb line declination on the basis of S-approximations |
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| Authors: | V N Koneshov I V Osika I E Stepanova |
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| Institution: | (1) Schmidt Institute of Physics of the Earth, Russian Academy of Sciences, Bol’shaya Gruzinskaya ul. 10, Moscow, 123995, Russia |
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| Abstract: | The high-precision air navigation tools developed in recent decades enable airborne gravity measurements that are suitable for solving many problems of geophysical exploration. In Russia, experiments along these lines were initiated in 1997–1998. Profile and areal surveys of a rather complex gravity field could be carried out with an accuracy of about 1 mGal. Knowledge of the plumb line declination (PLD) is needed in various areas of geophysics and geodesy. On the basis of airborne gravity observations, it is possible to use gravity data for calculating PLDs in both plain and mountainous regions. In the latter case, a correction for the effect of topographic masses is introduced into calculation formulas. With the use of the S-approximation method, based on the representation of harmonic functions as the sum of the potentials of simple and double layers on a certain carrier (in particular, on a horizontal plane), the gravity field was reconstructed from measurements at any point of space (at any altitude of measurement), in particular, on the surface of a geoid. A software package was specially developed for the PLD calculation by the Vening Meinesz formulas (the PLD calculation in a zeroth approximation) and methods of reconstructing anomalous fields on basis of S-approximations. Results of real-data calculations for one area of Russia are presented. |
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