We present two methods for inverting surface gravity data to recover a
3-D distribution of density contrast, In the first method, we transfo
rm the gravity data into pseudomagnetic data via Poisson's relation an
d carry out the inversion using a 3-D magnetic inversion algorithm. In
the second, we invert the gravity data directly to recover a minimum
structure model, In both approaches, the earth is modeled by using a l
arge number of rectangular cells of constant density, and the final de
nsity distribution is obtained by minimizing a model objective functio
n subject to fitting the observed data. The model objective function h
as the flexibility to incorporate prior information and thus the const
ructed model not only fits the data but also agrees with additional ge
ophysical and geological constraints. We apply a depth weighting in th
e objective function to counteract the natural decay of the kernels so
that the inversion yields depth information. Applications of the algo
rithms to synthetic and field data produce density models representati
ve of true structures. Our results have shown that the inversion of gr
avity data with a properly designed objective function can yield geolo
gically meaningful information.