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 …

Modeling the gravitational field of the ore-bearing asteroid by using the CFD-based method

Y Duan, Z Yin, K Zhang, S Zhang, S Wu, H Li, N Zheng… - Acta Astronautica, 2024 - Elsevier
A gravitational field of an ore-bearing asteroid, which usually has an irregular shape and
heterogeneous density, is a prerequisite for asteroid exploration (eg, space mining) …

Gravitational Fields of Polyhedral Bodies with 3D Polynomial Density Contrast

MG D'Urso, D Di Lieto - Surveys in Geophysics, 2024 - Springer
For polyhedral mass bodies having arbitrary shape and density distribution of polynomial
type we present a tensorial approach to derive analytical expressions of the gravitational …

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 …

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 …

Fast large-scale gravity modeling using a high-order compact cascadic multigrid strategy

S Hu, K Pan, Z Ren, J Tang, J Wang, P Wang - Geophysics, 2023 - library.seg.org
ABSTRACT A new high-order compact (HOC) cascadic multigrid (MG) strategy is developed
for modeling large-scale complex gravity problems on nonuniform rectilinear grids. First, the …

High-accuracy gravity field and gravity gradient forward modelling based on 3D vertex-centered finite-element algorithm

X Tong, Y Sun, J Huang, J Liu - Journal of Central South University, 2024 - Springer
Gravity anomalies generated by density non-uniformity are governed by the 3D Poisson
equation. Most existing forward methods for such anomalies rely on integral techniques and …

First-order derivatives of principal and main invariants of gravity gradient tensor of the tesseroid and spherical shell

XL Deng, WB Shen, M Yang, J Ran - Journal of Geodesy, 2021 - Springer
The invariants of gravity (or gravitational) gradient tensor can be applied as the additional
internal parameters for the gravity gradient tensor, which have been widely used in the …

Three-dimensional forward modelling of gravity field vector and its gradient tensor using the compact difference schemes

K Pan, Z Zhang, S Hu, Z Ren, R Guo… - Geophysical Journal …, 2021 - academic.oup.com
The traditional gravity forward modelling methods for solving partial differential equations
(PDEs) only can yield second-order accuracy. When computing the gravity field vector and …

Cutting Corners: Curvilinear-Surface-Based Gravity Models for Asteroids and Comets

JM Pearl, DL Hitt - Journal of Guidance, Control, and Dynamics, 2022 - arc.aiaa.org
ASTEROIDS and comets are often highly irregular in shape and can contain large density
inhomogeneities. For such bodies, the simple point-mass gravity model does not capture the …