Gravity anomaly of polyhedral bodies having a polynomial density contrast

MG D'Urso, S Trotta - Surveys in Geophysics, 2017 - Springer
We analytically evaluate the gravity anomaly associated with a polyhedral body having an
arbitrary geometrical shape and a polynomial density contrast in both the horizontal and …

Gravity gradient tensor of arbitrary 3D polyhedral bodies with up to third-order polynomial horizontal and vertical mass contrasts

Z Ren, Y Zhong, C Chen, J Tang, T Kalscheuer… - Surveys in …, 2018 - Springer
During the last 20 years, geophysicists have developed great interest in using gravity
gradient tensor signals to study bodies of anomalous density in the Earth. Deriving exact …

Gravity anomalies of arbitrary 3D polyhedral bodies with horizontal and vertical mass contrasts up to cubic order

Z Ren, Y Zhong, C Chen, J Tang, K Pan - Geophysics, 2018 - library.seg.org
ABSTRACT A new singularity-free analytical formula has been developed for the gravity
field of arbitrary 3D polyhedral mass bodies with horizontally and vertically varying density …

Gravity effects of polyhedral bodies with linearly varying density

MG D'Urso - Celestial Mechanics and Dynamical Astronomy, 2014 - Springer
We extend a recent approach for computing the gravity effects of polyhedral bodies with
uniform density by the case of bodies with linearly varying density and by consistently taking …

Fourier forward modeling of vector and tensor gravity fields due to prismatic bodies with variable density contrast

L Wu, L Chen - Geophysics, 2016 - library.seg.org
Prismatic bodies with variable density contrasts are very useful in modeling and inversion of
gravity anomalies for sedimentary basins, in which some simple mathematical functions offer …

Analytical expressions for the gravitational vector field of a 3-D rectangular prism with density varying as an arbitrary-order polynomial function

J Zhang, L Jiang - Geophysical Journal International, 2017 - academic.oup.com
The computation of gravitational vector field of variable-density bodies has been attracting
much attention in high precision gravity investigation. In forward and inverse gravity …

The gravity anomaly of a 2D polygonal body having density contrast given by polynomial functions

MG D'Urso - Surveys in Geophysics, 2015 - Springer
An analytical solution is presented for the gravity anomaly produced by a 2D body whose
geometrical shape is arbitrary and where the density contrast is a polynomial function in …

Efficient modeling of gravity fields caused by sources with arbitrary geometry and arbitrary density distribution

L Wu - Surveys in Geophysics, 2018 - Springer
We present a brief review of gravity forward algorithms in Cartesian coordinate system,
including both space-domain and Fourier-domain approaches, after which we introduce a …

On the computation of gravitational effects for tesseroids with constant and linearly varying density

M Lin, H Denker - Journal of Geodesy, 2019 - Springer
The accurate computation of gravitational effects from topographic and atmospheric masses
is one of the core issues in gravity field modeling. Using gravity forward modeling based on …

Analytic expressions for the gravity gradient tensor of 3D prisms with depth-dependent density

L Jiang, J Liu, J Zhang, Z Feng - surveys in Geophysics, 2018 - Springer
Variable-density sources have been paid more attention in gravity modeling. We conduct the
computation of gravity gradient tensor of given mass sources with variable density in this …