Graduate Thesis Or Dissertation
 

Gravity interpretation using the Fourier integral

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  • The gravitational anomalies of simple bodies (sphere, cylinder, and fault) were used to develop methods for analyzing gravity data in the frequency domain. The Fourier transforms of the functional representations of the theoretical gravitational anomalies of these bodies were obtained. Mathematical formulations were made between the transform versus frequency relationships and the depths and sizes of the bodies. Compound gravity anomalies (multiple cylinders, fault and cylinder) were analyzed, and the transforms were reduced to transforms of anomalies due to individual simple bodies. The methods of analyses were applied to theoretical anomalies using numerical techniques, and the accuracy of both depth and size determinations was within a few percent in all cases.
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