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In seismic exploration, sources and measurements of seismic waves on the surface are used to determine model parameters representing geophysical properties of the earth. Full-waveform inversion (FWI) is a nonlinear seismic inverse technique…

Numerical Analysis · Mathematics 2019-02-05 Yunan Yang

Exact expressions for all the steady-state fields (E, H, D, B) in uniaxial linear media composed of an arbitrary number of layers having arbitrary thicknesses subjected to normal incidence are derived. Generic boundary condition relations…

Materials Science · Physics 2007-05-23 Pieder Beeli

This paper presents a simple model for such processes as chaos spreading or turbulence spillover into stable regions. In this simple model the essential transport occurs via inelastic resonant interactions of waves on a lattice. The process…

Chaotic Dynamics · Physics 2025-05-28 Alexander V. Milovanov , Alexander Iomin , Jens Juul Rasmussen

Relative relocation methods are commonly used to precisely relocate earthquake clusters consisting of similar waveforms. Repeating waveforms are often recorded at volcanoes, where, however, the crust structure is expected to contain strong…

Geophysics · Physics 2016-11-03 Giulia Sgattoni , Ólafur Guðmundsson , Páll Einarsson , Federico Lucchi

The adjoint method is a popular method used for seismic (full-waveform) inversion today. The method is considered to give more realistic and detailed images of the interior of the Earth by the use of more realistic physics. It relies on the…

Geophysics · Physics 2024-08-28 Rafael Abreu

Multiple vertical fracture sets, possibly combined with horizontal fine layering, produce an equivalent medium of monoclinic symmetry with a horizontal symmetry plane. Here, we show that multi component wide azimuth reflection data…

Geophysics · Physics 2019-11-12 Grechka Vladimir , Contreras Pedro , Tsvankin Ilya

Seismic interpretation is strongly influenced by the relationship between subsurface layer depth and velocity. Small variations in these parameters can produce almost identical responses, characterizing the depth-velocity trade-off…

Geophysics · Physics 2026-01-09 Rafael da Silva Garcia , Francisco Marcio Barboza

Solving the wave equation is essential to seismic imaging and inversion. The numerical solution of the Helmholtz equation, fundamental to this process, often encounters significant computational and memory challenges. We propose an…

Geophysics · Physics 2025-04-01 Xinquan Huang , Tariq Alkhalifah

The hydrodynamic interactions between a sedimenting microswimmer and a solid wall have ubiquitous biological and technological applications. A plethora of gravity-induced swimming dynamics near a planar no-slip wall provides a platform for…

Soft Condensed Matter · Physics 2025-05-14 Henry Shum , Devenayagam Palaniappan , Yuan-Nan Young

We propose a variation on wavefield reconstruction inversion for seismic inversion, which takes advantage of randomized linear algebra as a way to overcome the typical limitations of conventional inversion techniques. Consequently, we can…

Numerical Analysis · Mathematics 2021-12-21 Gabrio Rizzuti , Tristan van Leeuwen

We formulate a stochastic equation to model the erosion of a surface with fixed inclination. Because the inclination imposes a preferred direction for material transport, the problem is intrinsically anisotropic. At zeroth order, the…

Statistical Mechanics · Physics 2009-10-31 Romualdo Pastor-Satorras , Daniel H. Rothman

Reflection seismic imaging usually suffers from a loss of resolution and contrast because of the fluctuations of the wave velocities in the Earth's crust. In the literature, phase distortion issues are generally circumvented by means of a…

Geophysics · Physics 2021-05-13 Rita Touma , Thibaud Blondel , Arnaud Derode , Michel Campillo , Alexandre Aubry

Purpose: Simulation of motion in the frequency domain during the MRI acquisition process is an important tool to study the effect of object motion. It is natural in this context to rely on a voxel-to-voxel difference metric between the…

Medical Physics · Physics 2022-04-08 Ghiles Reguig , Marc Lapert , Stephane Lehericy , Romian Valabregue

Bending waves are perhaps the most fundamental and analytically tractable phenomena in warped disc dynamics. In this work we conduct 3D grid-based, numerical experiments of bending waves in laminar, viscous hydrodynamic and turbulent,…

Solar and Stellar Astrophysics · Physics 2025-01-28 Callum W. Fairbairn

Seismic waves are the most sensitive probe of the Earth's interior we have. With the dense data sets available in exploration, images of subsurface structures can be obtained through processes such as migration. Unfortunately, relating…

Geophysics · Physics 2009-05-05 R. B. Schlottmann

When a plane shock hits a wedge head on, it experiences a reflection-diffraction process and then a self-similar reflected shock moves outward as the original shock moves forward in time. Experimental, computational, and asymptotic analysis…

Analysis of PDEs · Mathematics 2007-08-21 Gui-Qiang Chen , Mikhail Feldman

The problem, of 2D canonical nature, examined herein in the space-frequency framework, concerns a SH-polarized plane body seismic wave propagating in a hard, non lossy half space (bedrock) containing a soft, lossy cylindrical basin of…

Geophysics · Physics 2025-07-15 Armand Wirgin

We present results from four convectively-driven stellar dynamo simulations in spherical wedge geometry. All of these simulations produce cyclic and migrating mean magnetic fields. Through detailed comparisons we show that the migration…

Solar and Stellar Astrophysics · Physics 2014-12-01 Jörn Warnecke , Petri J. Käpylä , Maarit J. Käpylä , Axel Brandenburg

To describe the energy transport in the seismic coda, we introduce a system of radiative transfer equations for coupled surface and body waves in a scalar approximation. Our model is based on the Helmholtz equation in a half-space geometry…

Geophysics · Physics 2019-09-04 Ludovic Margerin , Andres Bajaras , Michel Campillo

Seismic datasets contain valuable information that originate from areas of interest in the subsurface; such seismic reflections are however inevitably contaminated by other events created by waves reverberating in the overburden.…

Geophysics · Physics 2022-08-10 Matteo Ravasi , Tamil Selvan , Nick Luiken