Quantitative Correlation Analysis of Gravity, Magnetic, and Thermal Potential Fields

Mathematics – Logic

Scientific paper

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0925 Magnetic And Electrical Methods (5109), 1214 Geopotential Theory And Determination (0903), 1219 Gravity Anomalies And Earth Structure (0920, 7205, 7240), 1545 Spatial Variations: All Harmonics And Anomalies, 1595 Planetary Magnetism: All Frequencies And Wavelengths

Scientific paper

The correlations between the effects of different potential fields can greatly limit ambiguities of interpretation and improve the signal-to-noise ratio in anomaly mapping. In addition, correlative anomalies are well suited from estimating the physical properties of sources because the phase differences in the anomalies completely determine the correlations. The basis for quantitatively correlating geological variations in potential fields is the inverse distance function that describes the geometry between source and observation points. Poisson's theorem relates correlative density and magnetization contrasts, whereas the correlations of these contrasts with thermal conductivity contrasts may be quantified by the heat production equivalence of thermal sources. We present several examples in both data and spectral domains to illustrate the advantages and limitations of quantifying correlations between potential fields. These examples include analyzing free-air gravity anomaly observations for isostatically disturbed crustal components, modeling regional magnetic anomaly observations for the Curie isotherm within the crust, and quantifying correlative crustal density and magnetization contrasts from gravity and magnetic anomaly observations.

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