Abstract
An algorithm is presented for the computation of gravity terrain corrections from a digitized grid representing topography. Different approximations for topography at various distances from the gravity station are used to make the computation more efficient. For the distant zone (30 < r < 50 km) topography is approximated using a vertical line mass distribution. In the intermediate zone (2 < r < 30 km) a segment of a hollow vertical cylinder is used. The near zone (0.5 < r < 2 km) is approximated using vertical rectangular prisms with sloping upper faces. A new method is used to compute the correction for the inner zone which is the digitized square where the gravity station is located. The gravity effect of topography in the inner zone is calculated from four traingular prisms with vertices made of the station location and the corners of the square. The computer program has been tested comprehensively with a regional gravity database from the Southern Uplands of Scotland in which all terrain corrections were carried out originally using the Hammer chart method.
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