Inversion reconstruction of gravity potential based on gravity gradients

Dobróka, Mihály and Völgyesi, Lajos (2008) Inversion reconstruction of gravity potential based on gravity gradients. MATHEMATICAL GEOSCIENCES, 40 (3). pp. 299-311. ISSN 1874-8961

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Abstract

A new method was developed for the inversion reconstruction of gravity potential. This method offers the possibility to determine the potential function and all of its important derivatives using the common inversion of gravity gradients and the first derivatives of potential. Gravity gradients can be originated from Torsion balance measurements, while the first derivatives of potential can be derived from the deflections of the vertical data. Different fields having great importance can be originated from this reconstructed potential function at any points of the investigated area. The advantage of this method is that the solution can be performed by a significantly over-determined inverse problem. Test computations were performed for the inversion reconstruction of gravity potential. There were 248 torsion balance measurements and 13 points where the deflections of the vertical are known in our test area. This inversion algorithm is rather stable. Gravity potential, the first and the second derivatives of the potential were determined for the test area by this suggested method. This method gives a good possibility for a useful geodetic application; deflections of the vertical based on torsion balance measurements can be determined for the whole area for each torsion balance stations.

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