Global Correlation of Topographic Heights and Gravity Anomalies

Computer Science

Scientific paper

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Scientific paper

The object of this research is to study and compare, on a worldwide scale, the short-wavelength features of the earth's gravity and topographic fields to determine whether any relationship exists between them. The short-wavelength features were obtained by subtracting a calculated 24th-degree-and-order field from observed data written in 1° x 1° squares. The correlation between the two residual fields was examined by a program of linear regression. When run on a worldwide scale over oceans and continents separately, the program did not exhibit any correlation; this can be explained by the fact that the worldwide autocorrelation function for residual gravity anomalies falls off much faster as a function of distance than does that for residual topographic heights. The situation was different when the program was used in restricted areas, of the order of 5° x 5° square. For 30% of the world, fair-to-good correlations were observed, mostly over continents. The slopes of regression lines are proportional to "apparent" densities, which offer a large spectrum of values that are being interpreted in terms of features in the upper mantle consistent with available heat-flow, gravity, and seismic data.

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