The estimation of errors in calculated terrain corrections in the Tatra Mountains

Abstract

In general, calculation of terrain corrections can be a substantial source of
errors in evaluating Bouguer anomalies, especially in rugged mountainous areas like the
Tatra Mountains where we also get the largest values of the terrain corrections as such.
It is then natural that analysis of their calculations in this area can shed light on the
magnitude of correction-related errors within the whole Slovak territory. In the framework
of our analysis we have estimated the effect of different computing approaches as well as
the influence of accuracy of the inputs, i.e. the heights and positions of the measuring
points, together with the used digital terrain models. For the sake of testing the computer
programs which are currently in use, we have also substituted the real terrain by synthetic
topography. We found that among the concerned constituents the most important factor
is the used digital terrain model and its accuracy. The possible model-caused errors can
exceed 10 mGal in the Tatra Mountains (for the density of 2.67 g.cm⁻³).