Numerical examples for downward continuation of gravity anomalies
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Date
1968-07
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Ohio State University. Division of Geodetic Science
Abstract
To compute gravity anomalies at the surface of the earth from airborne gravity measurements, Poisson's integral for the plane applied to gravity anomalies is regarded as an integral equation of the first kind whose solution gives the sought anomalies. In the practical application the integration is replaced by a summation, so that a system of linear equations is obtained. This system is solved by successive approximations. Several examples are computed to continue anomalies downward in the centers of 5' x 5', 15' x 15', and 1° x 1° blocks at elevations of 6 km and 8 km. The results show that the successive approximations converge fast. In case of flight elevations between 6 km and 10 km, however, the use of 5' x 5' blocks and of smaller blocks should be excluded from the downward continuation of airborne gravity measurements to avoid ill-conditioned matrices.
Description
Prepared for Air Force Cambridge Research Laboratories, Office of Aerospace Research, United States Air Force, Bedford, Massachusetts: Contract No. AF19(628)-5701, Project 7600, Task No. 760002, 04