Green's functions for geophysics: a review

E Pan - Reports on Progress in Physics, 2019 - iopscience.iop.org
The Green's function (GF) method, which makes use of GFs, is an important and elegant tool
for solving a given boundary-value problem for the differential equation from a real …

Fundamental solutions in 3D elastodynamics for the BEM: A review

PS Dineva, GD Manolis, F Wuttke - Engineering Analysis with Boundary …, 2019 - Elsevier
In this work, we attempt to collect all available fundamental solutions in 3D elastodynamics
that would be suitable for use in Boundary Element Method (BEM) formulations. Given that …

Fully dynamic earthquake cycle simulations on a nonplanar fault using the spectral boundary integral element method (sBIEM)

P Romanet, S Ozawa - Bulletin of the Seismological …, 2022 - pubs.geoscienceworld.org
One of the most suitable methods for modeling fully dynamic earthquake cycle simulations is
the spectral boundary integral element method (sBIEM), which takes advantage of the fast …

Three‐dimensional fundamental solution for unsaturated transversely isotropic half‐space under surface time‐harmonic load

W Ma, B Wang, S Zhou, EC Leong… - … for Numerical and …, 2023 - Wiley Online Library
An analytical solution of unsaturated poroelastic transversely isotropic (TI) half‐space under
surface time‐harmonic load with consideration of compressibility, viscous and inertial …

A discontinuous Galerkin method for sequences of earthquakes and aseismic slip on multiple faults using unstructured curvilinear grids

C Uphoff, DA May, AA Gabriel - Geophysical Journal …, 2023 - academic.oup.com
Physics-based simulations provide a path to overcome the lack of observational data
hampering a holistic understanding of earthquake faulting and crustal deformation across …

Lamb's problem: A brief history

M Emami, M Eskandari-Ghadi - Mathematics and Mechanics …, 2020 - journals.sagepub.com
In this review note, a historical scientific investigation is presented for Lamb's problem in the
mathematical theory of elasticity. This problem first appeared in 1904 in the pioneering …

An exact closed-form solution of three-dimensional transient Green's functions in a constrained transversely isotropic half-space

M Raoofian-Naeeni, M Eskandari-Ghadi… - International Journal of …, 2021 - Elsevier
In this paper, we derive an exact closed-form solution of three-dimensional transient Green's
functions (GFs) at the free surface of a constrained transversely isotropic (TI) half-space due …

Numerical modelling of impact seismic sources using the stress glut theory

M Froment, P Lognonné, C Larmat, Z Lei… - Geophysical Journal …, 2024 - academic.oup.com
Meteorite impacts have proved to be a significant source of seismic signal on the Moon, and
have now been recorded on Mars by InSight seismometers. Understanding how impacts …

Transient Green's functions of a buried pulse in a constrained transversely isotropic half-space

M Raoofian-Naeeni, M Eskandari-Ghadi… - International Journal of …, 2021 - Elsevier
In this paper, transient surface Green's functions (GFs) excited by a general dynamic pulse
buried in a constrained transversely isotropic (TI) half-space are derived in analytical forms …

Half-Space Green's Function for Lamb's Problem as Applied in Seismic Geotechnical Engineering

M Erfaninia, M Kamalian, M Panji - Iranian Journal of Science and …, 2023 - Springer
The propagation of waves in a homogeneous, isotropic linear elastic half-space is
investigated herein. A buried point pulse generates a vibration in an arbitrary direction. Both …