INTERPOLATION AND PREDICTION OF GRAVITY AND THEIR ACCURACY
Abstract
Several methods for interpolation and extrapolation of gravity are described, such as geometrical interpolation, zero anomaly, representation, and least squares prediction. General formulas for the accuracy of any prediction method are deduced. Least squares prediction, which is the most accurate one, permits a purely numerical processing of gravity anomalies and seems to be excellently suited for electronic computers. The accuracy of the usual prediction methods is shown generally and by means of numerical examples and the influence of the configuration of gravity stations is studied. The prediction of mean anomalies is considered. The important correlation of free-air anomalies with elevation is discussed, and least squares prediction is extended to this case, giving matrix formulas which can be used for machine computations. The validity of the usual method of Bouguer anomalies is investigated, including the error committed by using a wrong Bouguer gradient. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1962
- Accession Number
- AD0289000
Entities
People
- Helmut Moritz
Organizations
- Air Force Cambridge Research Laboratories