Anpmaly Selection for Deflection Interpolation, Part 1. Theoretical Investigation
HAWAII UNIV HONOLULU INST OF GEOPHYSICS
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This report presents the results of theoretical studies performed to determine the combined geodetic and geophysical significance of current gravity reduction techniques. Special emphasis was given to the problem of interpolation of deflections of the vertical by gravimetric means. An examination of the mathematical theory of physical geodesy revealed that the accuracy of the mathematical equations relating deflections of the vertical and gravity anomalies could not be improved by choice of gravity anomaly. The choice of a gravity anomaly for use in the deflection interpolation equations was found to depend upon the accuracy with which the anomaly could be interpolated between observation points and the relative amount of labor required to carry out numerical computations. The complete Bouguer anomaly with geologic corrections was found to be the best anomaly to use for interpolation of gravity with a reversion to the normal complete Bouguer anomaly without geologic corrections for use in the mathematical equations.