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Full tensor gravity (FTG) devices provide up to five independent components of the gravity gradient tensor. However, we do not yet have a quantitative understanding of which tensor components or combinations of components are more important…

Geophysics · Physics 2022-05-20 Pejman Shamsipour , Amin Aghaee , Tedd Kourkounakis , Shawn Hood

The elements of the E\"otv\"os matrix are useful for various geodetic applications, such as the interpolation of the elements of the deflection of the vertical, the determination of gravity anomalies and the determination of geoid heights.…

Geophysics · Physics 2016-11-08 G. Manoussakis , R. Korakitis , P. Milas

Gravity gradiometry within the framework of the general theory of relativity involves the measurement of the elements of the relativistic tidal matrix, which is theoretically obtained via the projection of the spacetime curvature tensor…

General Relativity and Quantum Cosmology · Physics 2020-07-29 Bahram Mashhoon

The era of practical terrestrial applications of gravity gradiometry begun in 1890 when Baron Lorand von E\"otv\"os, a Hungarian nobleman and a talented physicist and engineer, invented his famous torsion balance - the first practical…

Quantum Physics · Physics 2022-01-17 Alexey V. Veryaskin , Michael E. Tobar

The high accuracy now reached in the VLBI Earth Orientation Parameters (EOP) determination requires looking further at the various geophysical contributions to variations in EOP. The determination of the Earth gravity field from space…

Astrophysics · Physics 2007-11-29 G. Bourda

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…

Geophysics · Physics 2020-05-21 Shu-jin Cao

Gravity inversion is the problem of estimating subsurface density distributions from observed gravitational field data. We consider the two-dimensional (2D) case, in which recovering density models from one-dimensional (1D) measurements…

Gravity measurements provide valuable information on the mass distribution below the earth surface relevant to various areas of geosciences such as hydrology, geodesy, geophysics, volcanology, and natural resources management. During the…

The near-surface environment is often too complex to enable inference of hydrological and environmental variables using one geophysical data type alone. Joint inversion and coupled inverse modeling involving numerical flow- and transport…

Geophysics · Physics 2017-01-09 N. Linde , J. Doetsch

Gravimetry is a versatile metrological approach in geophysics to accurately map subterranean mass and density anomalies. There is a broad diversification regarding the working principle of gravimeters, wherein atomic gravimeters are one of…

This paper presents a level-set based structural approach for the joint inversion of full-waveform and gravity data. The joint inversion aims to integrate the strengths of full-waveform inversion for high resolution imaging and gravity…

Geophysics · Physics 2025-09-09 Xingyu Deng , Jianfeng Zhao , Wenbin Li , Jianwei Ma

Subsurface ore detection is of paramount importance given the gradual depletion of shallow mineral resources in recent years. It is crucial to explore approaches that go beyond the limitations of traditional geological exploration methods.…

Machine Learning · Computer Science 2026-03-10 Dhruman Gupta , Yashas Shende , Aritra Das , Chanda Grover Kamra , Debayan Gupta

This work provides a comprehensive derivation of the parameter gradients for GATv2 [4], a widely used implementation of Graph Attention Networks (GATs). GATs have proven to be powerful frameworks for processing graph-structured data and,…

Machine Learning · Computer Science 2023-04-24 Marion Neumeier , Andreas Tollkühn , Sebastian Dorn , Michael Botsch , Wolfgang Utschick

Geometry-grounded learning asks models to respect structure in the problem domain rather than treating observations as arbitrary vectors. Motivated by this view, we revisit a classical but underused primitive for comparing datasets: linear…

Time-varying gravity field survey is one of the important methods for seismic risk assessment. To obtain accurate timevarying gravity data, it is essential to establish a gravity reference, which can be achieved using absolute gravimeters.…

Estimates of seismic wave speeds in the Earth (seismic velocity models) are key input parameters to earthquake simulations for ground motion prediction. Owing to the non-uniqueness of the seismic inverse problem, typically many velocity…

Accurate prediction of trips between zones is critical for transportation planning, as it supports resource allocation and infrastructure development across various modes of transport. Although the gravity model has been widely used due to…

Machine Learning · Computer Science 2025-08-04 Kamal Acharya , Mehul Lad , Liang Sun , Houbing Song

In this paper, we develop a new approach to gravity-gradient noise subtraction for underground gravitational-wave detectors in homogeneous rock. The method is based on spatial harmonic expansions of seismic fields. It is shown that…

General Relativity and Quantum Cosmology · Physics 2009-10-16 Jan Harms , Riccardo DeSalvo , Steven Dorsher , Vuk Mandic

The gradient technique is a promising tool with theoretical foundations based on the fundamental properties of MHD turbulence and turbulent reconnection. Its various incarnations use spectroscopic, synchrotron, and intensity data to trace…

Astrophysics of Galaxies · Physics 2024-06-04 Alex Lazarian , Ka Ho Yuen , Dmitri Pogosyan

We propose a model of gravity in which a General Relativity metric tensor and an effective metric generated from a single scalar formulated in Geometric Scalar Gravity are mixed. We show that the model yields the exact Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2016-10-12 Nahomi Kan , Takuya Maki , Kiyoshi Shiraishi
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