  The large-scale three-dimensional inversion of surface gravity / tensor
gravity data is a very challenging numerical and practical problem, which is a
highly physical memory usage, time-consuming computation and high precision for
large-scale gravity models. Equivalent geometric architecture was introduced to
avoid to calculate and to save sensitivity matrix. A new equivalent geometric
architecture was not rely on symmetrical characteristic of gravity field by
added three virtual grids into geophysical model. A new fast forward method was
proposed based translation equivalent technique based toeplitz matrix, which a
toeplitz matrix carried out fast matrix-vector multiplication by using the fast
Fourier transform. Numerical experiments show that the method proposed in this
paper is require little memory, high efficiency and high precision.
