The effects of topographic masses on satellite gradiometric data are
large and in order to reduce the magnitude of these effects some compensation
mechanisms should be considered. Herewe use the isostatic hypotheses
of Airy–Heiskanen and the recent Vening Meinesz–Moritz for compensating
these effects and to smooth the data prior to their downward continuation
to gravity anomaly. The second-order partial derivatives of extended
Stokes’ formula are used for the continuations over a topographically rough
territory like Persia. The inversions are performed and compared based on
two schemes of the remove-compute-restore technique and direct downward
continuation. Numerical results show that the topographic-isostatic effect
based onVening Meinesz–Mortiz’s hypothesis smoothes the data better than
that based on Airy–Heiskanen’s hypothesis. Also the quality of inversions
of the smoothed data by this mechanism is twice better than that of the nonsmoothed
ones.