Db. Rao et al., GRAVITY INTERPRETATION USING FOURIER-TRANSFORMS AND SIMPLE GEOMETRICAL MODELS WITH EXPONENTIAL DENSITY CONTRAST, Geophysics, 58(8), 1993, pp. 1074-1083
The decrease of density contrast in sedimentary basins can often be ap
proximated by an exponential function. Theoretical Fourier transforms
are derived for symmetric trapezoidal, vertical fault, vertical prism,
syncline, and anticline models. This is desirable because there are n
o equivalent closed form solutions in the space domain for these model
s combined with an exponential density contrast. These transforms exhi
bit characteristic minima, maxima, and zero values, and hence graphica
l methods have been developed for interpretation of model parameters.
After applying end corrections to improve the discrete transforms of o
bserved gravity data, the transforms are interpreted for model paramet
ers. This method is first tested on two synthetic models, then applied
to gravity anomalies over the San Jacinto graben and Los Angeles basi
n.