Impacts of using the rigorous topographic gravity modeling method and lateral density variation model on topographic reductions and geoid modeling: a case study in …

M Lin, X Li - Surveys in Geophysics, 2022 - Springer
Until now, the prismatic mass approximation of the topography and the constant density
assumption have been mostly utilized in topographic reductions, which are rough …

Fast computation of terrain-induced gravitational and magnetic effects on arbitrary undulating surfaces

L Wu, L Chen - Surveys in Geophysics, 2023 - Springer
Based on a brief review of forward algorithms for the computation of topographic
gravitational and magnetic effects, including spatial, spectral and hybrid-domain algorithms …

A computational review of the line integral analytical formulation of the polyhedral gravity signal

D Tsoulis, G Gavriilidou - Geophysical Prospecting, 2021 - earthdoc.org
The generally shaped polyhedron is a widely used model in gravity field modelling and
interpretation. Its induced gravity signal–gravitational potential and its derivatives up to …

A new method for gravity modeling using tesseroids and 2D Gauss-Legendre quadrature rule

Y Zhong, Z Ren, C Chen, H Chen, Z Yang… - Journal of Applied …, 2019 - Elsevier
In this study, we present a new method to compute the gravity field and gravity gradient
tensor caused by tesseroid mass bodies in the spherical coordinate system. Using this new …

Gravity field modeling using tesseroids with variable density in the vertical direction

M Lin, H Denker, J Müller - Surveys in Geophysics, 2020 - Springer
We present an accurate method for the calculation of gravitational potential (GP), vector
(GV), and gradient tensor (GGT) of a tesseroid, considering a density model in the form of a …

Fourier-domain modeling of gravity effects caused by polyhedral bodies

L Wu - Journal of Geodesy, 2019 - Springer
We present 2D and 3D Fourier-domain modeling of gravity effects, including the gravity
potential and its first-and second-order derivatives, generated by an arbitrary polyhedron …

Exact solutions of the vertical gravitational anomaly for a polyhedral prism with vertical polynomial density contrast of arbitrary orders

C Chen, Z Ren, K Pan, J Tang… - Geophysical Journal …, 2018 - academic.oup.com
We present general closed-form solutions for the vertical gravitational anomaly caused by a
polyhedral prism with mass density contrast varying with depth. Our equations are the first …

Modified Parker's method for gravitational forward and inverse modeling using general polyhedral models

L Wu - Journal of Geophysical Research: Solid Earth, 2021 - Wiley Online Library
We propose a new modified Parker's method for efficient gravitational forward modeling and
inversion using general polyhedral models. We have made several important modifications …

Recursive analytical formulae of gravitational fields and gradient tensors for polyhedral bodies with polynomial density contrasts of arbitrary non-negative integer …

Z Ren, C Chen, Y Zhong, H Chen, T Kalscheuer… - Surveys in …, 2020 - Springer
Exact computation of the gravitational field and gravitational gradient tensor for a general
mass body is a core routine to model the density structure of the Earth. In this study, we …

Improved Fourier modeling of gravity fields caused by polyhedral bodies: with applications to asteroid Bennu and comet 67P/Churyumov–Gerasimenko

L Wu, L Chen, B Wu, B Cheng, Q Lin - Journal of Geodesy, 2019 - Springer
This paper presents an improved algorithm for the 2D and 3D Fourier forward modeling of
gravity fields caused by polyhedral bodies with constant and exponential density …