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While computer science has seen remarkable advancements in foundation models, which remain underexplored in geoscience. Addressing this gap, we introduce a workflow to develop geophysical foundation models, including data preparation, model…

Geophysics · Physics 2023-12-18 Hanlin Sheng , Xinming Wu , Xu Si , Jintao Li , Sibo Zhang , Xudong Duan

We are concerned with the fast simulation of random fields on closed surfaces in $\mathbb{R}^3$ which are generated by the (Whittle-) Mat\'ern class of covariance functions. To this end, we solve the underlying fractional stochastic partial…

Numerical Analysis · Mathematics 2026-05-26 Helmut Harbrecht , Florian Sonderegger , Remo von Rickenbach

The far field asymptotic of internal waves is constructed for the case when a point source of mass moves in a layer of arbitrarily stratified fluid with slowly varying bottom. The solutions obtained describe the far field both near the wave…

Fluid Dynamics · Physics 2007-05-23 Vitaly V. Bulatov , Yuriy V. Vladimirov , Vasily A. Vakorin

We present the first direct measurement of the gravity-field curvature based on three conjugated atom interferometers. Three atomic clouds launched in the vertical direction are simultaneously interrogated by the same atom interferometry…

Atomic Physics · Physics 2015-01-08 G. Rosi , L. Cacciapuoti , F. Sorrentino , M. Menchetti , M. Prevedelli , G. M. Tino

Gravitational waves (GWs) emitted by binary sources are interesting signals for testing gravity on cosmological scales since they allow measurements of the luminosity distance. When followed by electromagnetic counterparts, in particular,…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-17 Isabela S. Matos , Emilio Bellini , Maurício O. Calvão , Martin Kunz

The calculation of the underground density field from measured gravity data has been done by a variety of methods of varied types. The use of the vector gravity components is here addressed in order to develop one accurate gravity inversion…

Geophysics · Physics 2019-08-22 Orlando Silva , Pedro Nogueira

The paper outlines some recent developments of the boundary element method (BEM) that makes it more user friendly and suitable for a realistic simulation in geomechanics, especially for underground excavations and tunnelling. The…

Numerical Analysis · Mathematics 2021-01-25 Gernot Beer , Christian Duenser , Vincenzo Mallardo

We propose a novel method for testing gravity models using seismic data from Earth. By imposing observational constraints on Earth's moment of inertia and mass, we rigorously limit the gravitational models' parameters within a $2\sigma$…

General Relativity and Quantum Cosmology · Physics 2023-08-04 Aleksander Kozak , Aneta Wojnar

Gravitational waves, although generally associated with extremely microscopic effects, can displace by hundreds of kilometers the pulsar interstellar scintillation patterns that bathe the Earth. The combination of the pulsar and the…

Astrophysics · Physics 2008-02-03 Redouane Fakir

Models of gravitational waveforms play a critical role in detecting and characterizing the gravitational waves (GWs) from compact binary coalescences. Waveforms from numerical relativity (NR), while highly accurate, are too computationally…

High Energy Astrophysical Phenomena · Physics 2018-01-03 Zoheyr Doctor , Ben Farr , Daniel E. Holz , Michael Pürrer

We propose a new method of searching for the composition-dependent dilatonic waves, predicted by unified theories of strings. In this method, Earth's surface-gravity changes due to translational motions of its inner core, excited by…

General Relativity and Quantum Cosmology · Physics 2010-04-15 Sachie Shiomi

The first analytical evaluation of free-hinged-hinged-hinged-free beam, proposed to be used as a primary sensing element for gravity gradiometry, is presented. The results of the evaluation, obtained in quadratures, are applied to the…

Applied Physics · Physics 2022-01-20 Alexey V Veryaskin , Thomas J Meyer

We analyze the ground motion time histories due to the local seismicity near the Itoiz reservoir to estimate the near-source, surface 3D displacement-gradients and dynamic deformations. The seismic data were obtained by a semi-permanent…

Strong-field gravity simulators are laboratory experiments that can investigate a wide range of both classical and quantum phenomena occurring in nature. In this work, we introduce an effective geometry that captures most of the…

General Relativity and Quantum Cosmology · Physics 2025-05-12 H. S. Vieira , Kyriakos Destounis , Kostas D. Kokkotas

In this paper we consider fundamental processes of the disturbance and propagation of internal gravity waves in the ocean modeled as a vertically stratified, horizontally non-uniform, and non-stationary medium. We develop asymptotic methods…

Fluid Dynamics · Physics 2013-08-20 Vitaly V. Bulatov , Yuriy V. Vladimirov

An innovative orbit determination method which makes use of gravity gradients for Low-Earth-Orbiting satellites is proposed. The measurement principle of gravity gradiometry is briefly reviewed and the sources of measurement error are…

Instrumentation and Methods for Astrophysics · Physics 2016-08-12 Xiucong Sun , Pei Chen , Christophe Macabiau , Chao Han

We introduce a new class of spatially stochastic physics and data informed deep latent models for parametric partial differential equations (PDEs) which operate through scalable variational neural processes. We achieve this by assigning…

Machine Learning · Computer Science 2023-06-08 Arnaud Vadeboncoeur , Ieva Kazlauskaite , Yanni Papandreou , Fehmi Cirak , Mark Girolami , Ömer Deniz Akyildiz

Stochastic gradient descent (SGD) holds as a classical method to build large scale machine learning models over big data. A stochastic gradient is typically calculated from a limited number of samples (known as mini-batch), so it…

Machine Learning · Computer Science 2016-01-14 Yadong Mu , Wei Liu , Wei Fan

Future searches for a gravitational-wave background using Earth-based gravitational-wave detectors might be impacted by correlated noise sources. A well known example are the Schumann resonances, which are extensively studied in the context…

General Relativity and Quantum Cosmology · Physics 2022-04-20 Kamiel Janssens , Thomas A. Callister , Nelson Christensen , Michael W. Coughlin , Ioannis Michaloliakos , Jishnu Suresh , Nick van Remortel

Imaging Earth structure or seismic sources from seismic data involves minimizing a target misfit function, and is commonly solved through gradient-based optimization. The adjoint-state method has been developed to compute the gradient…

Computational Physics · Physics 2021-04-28 Weiqiang Zhu , Kailai Xu , Eric Darve , Gregory C. Beroza