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2-D seismic wave propagation using the distributional finite-difference method: further developments and potential for global seismology

Journal Article · · Geophysical Journal International
DOI:https://doi.org/10.1093/gji/ggae025· OSTI ID:2308869

SUMMARY

We present a time-domain distributional finite-difference scheme based on the Lebedev staggered grid for the numerical simulation of wave propagation in acoustic and elastic media. The central aspect of the proposed method is the representation of the stresses and displacements with different sets of B-splines functions organized according to the staggered grid. The distributional finite-difference approach allows domain-decomposition, heterogeneity of the medium, curvilinear mesh, anisotropy, non-conformal interfaces, discontinuous grid and fluid–solid interfaces. Numerical examples show that the proposed scheme is suitable to model wave propagation through the Earth, where sharp interfaces separate large, relatively homogeneous layers. A few domains or elements are sufficient to represent the Earth’s internal structure without relying on advanced meshing techniques. We compare seismograms obtained with the proposed scheme and the spectral element method, and we show that our approach offers superior accuracy, reduced memory usage, and comparable efficiency.

Sponsoring Organization:
USDOE
OSTI ID:
2308869
Alternate ID(s):
OSTI ID: 2582324
Journal Information:
Geophysical Journal International, Journal Name: Geophysical Journal International Journal Issue: 1 Vol. 237; ISSN 0956-540X
Publisher:
Oxford University PressCopyright Statement
Country of Publication:
United Kingdom
Language:
English

References (90)

An Explicit Fourth-Order Orthogonal Curvilinear Staggered-Grid FDTD Method for Maxwell's Equations journal January 2002
Mixed finite elements in ?3 journal September 1980
A Fourth Order Accurate Finite Difference Scheme for the Elastic Wave Equation in Second Order Formulation journal September 2011
Spectral-element simulations of elastic wave propagation in exploration and geotechnical applications journal February 2014
A 2D Chebyshev differential operator for the elastic wave equation journal March 1996
High-accuracy finite-difference schemes for solving elastodynamic problems in curvilinear coordinates within multiblock approach journal July 2015
Interior penalty discontinuous Galerkin method for Maxwell's equations: Energy norm error estimates journal July 2007
Construction of dual bases journal June 2013
Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement journal October 2005
Efficient and robust quadratures for isogeometric analysis: Reduced Gauss and Gauss–Greville rules journal March 2022
3D effects of sharp boundaries at the borders of the African and Pacific Superplumes: Observation and modeling journal April 2005
An unsually large ULVZ at the base of the mantle near Hawaii journal November 2012
Wave propagation in anisotropic elastic materials and curvilinear coordinates using a summation-by-parts finite difference method journal October 2015
The Finite-Difference Modelling of Earthquake Motions journal May 2014
Efficient Methods to Simulate Planar Free Surface in the 3D 4th-Order Staggered-Grid Finite-Difference Schemes journal April 2002
The Collaborative Seismic Earth Model: Generation 1 journal May 2018
Numerical simulation of elastic wave propagation using a finite volume method journal February 1995
SH-wave propagation in the whole mantle using high-order finite differences journal March 1995
Global mantle shear velocity model developed using nonlinear asymptotic coupling theory journal October 1996
Sensitivity of SS precursors to topography on the upper-mantle 660-km discontinuity journal November 1997
Parsimonious staggered grid finite‐differencing of the wave equation journal February 1990
Mapping the upper mantle: Three-dimensional modeling of earth structure by inversion of seismic waveforms journal July 1984
Kilometer-scale structure on the core–mantle boundary near Hawaii journal May 2022
Stop blaming the climate for disasters journal January 2022
The three-dimensional shear velocity structure of the mantle from the inversion of body, surface and higher-mode waveforms journal December 2000
Coupling the spectral element method with a modal solution for elastic wave propagation in global earth models journal January 2003
Coupling spectral elements and modes in a spherical Earth: an extension to the ‘sandwich’ case journal July 2003
Introduction to the spectral element method for three-dimensional seismic wave propagation journal December 1999
Global adjoint tomography—model GLAD-M25 journal May 2020
TTI equivalent medium parametrization method for the seismic waveform modelling of heterogeneous media with coarse grids journal August 2021
Finite-difference modelling of 2-D wave propagation in the vicinity of dipping interfaces: a comparison of anti-aliasing and equivalent medium approaches journal October 2021
Distributional finite-difference modelling of seismic waves journal August 2022
Global synthetic seismograms using a 2-D finite-difference method journal March 2014
Whole-mantle radially anisotropic shear velocity structure from spectral-element waveform tomography journal September 2014
A comparison of finite-difference and spectral-element methods for elastic wave propagation in media with a fluid-solid interface journal November 2014
Global adjoint tomography: first-generation model journal September 2016
Hybridizable discontinuous Galerkin method for the 2-D frequency-domain elastic wave equations journal December 2017
High-resolution surface wave tomography of the European crust and uppermost mantle from ambient seismic noise journal May 2018
AxiSEM3D: broad-band seismic wavefields in 3-D global earth models with undulating discontinuities journal February 2019
Stable 3-level leapfrog integration in numerical relativity journal August 1998
Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media journal May 1966
The Application of Finite Element Analysis to Body Wave Propagation Problems journal August 1975
Constraints on seismic velocities in the Earth from traveltimes journal July 1995
Complete synthetic seismograms up to 2 Hz for transversely isotropic spherically symmetric media journal February 2006
Traction image method for irregular free surface boundaries in finite difference seismic wave simulation journal October 2006
Arbitrary high-order finite volume schemes for seismic wave propagation on unstructured meshes in 2D and 3D journal November 2007
Free and smooth boundaries in 2-D finite-difference schemes for transient elastic waves journal January 2008
Global SH -wave propagation using a parallel axisymmetric spherical finite-difference scheme: application to whole mantle scattering journal June 2008
Quantitative accuracy analysis of the discontinuous Galerkin method for seismic wave propagation journal June 2008
A 2-D spectral-element method for computing spherical-earth seismograms-II. Waves in solid-fluid media journal September 2008
The interior penalty discontinuous Galerkin method for elastic wave propagation: grid dispersion journal October 2008
An hp-adaptive discontinuous Galerkin finite-element method for 3-D elastic wave modelling journal September 2010
Inferring upper-mantle structure by full waveform tomography with the spectral element method: SEM based global tomography journal March 2011
Three-dimensional anisotropic seismic wave modelling in spherical coordinates by a collocated-grid finite-difference method journal January 2012
Three-dimensional elastic wave numerical modelling in the presence of surface topography by a collocated-grid finite-difference method on curvilinear grids journal May 2012
Lebedev scheme for the numerical simulation of wave propagation in 3D anisotropic elasticity‡: Lebedev scheme for numerical simulation of wave propagation journal January 2010
A review of the spectral, pseudo‐spectral, finite‐difference and finite‐element modelling techniques for geophysical imaging journal August 2011
Adjoint Tomography of the Southern California Crust journal August 2009
Waveform Tomography Reveals Channeled Flow at the Base of the Oceanic Asthenosphere journal September 2013
Three-Dimensional Simulation of a Magnitude 7.75 Earthquake on the San Andreas Fault journal December 1995
A Low-Storage Curvilinear Discontinuous Galerkin Method for Wave Problems journal January 2013
A New Family of Mixed Finite Elements for the Linear Elastodynamic Problem journal January 2002
Isogeometric Collocation Methods journal November 2010
Soil-Structure Interaction in Transversely Isotropic Layered Media Subjected to Incident Plane SH Waves journal January 2017
Accuracy of finite‐difference and finite‐element modeling of the scalar and elastic wave equations journal May 1984
P-SV wave propagation in heterogeneous media: Velocity‐stress finite‐difference method journal April 1986
The pseudospectral method: Comparisons with finite differences for the elastic wave equation journal April 1987
Anisotropic wave propagation through finite‐difference grids journal July 1995
Finite‐difference modeling of viscoelastic and anisotropic wave propagation using the rotated staggered grid journal March 2004
Accuracy of heterogeneous staggered-grid finite-difference modeling of Rayleigh waves journal July 2006
Discontinuous Galerkin methods for wave propagation in poroelastic media journal September 2008
A comparison of the dispersion relations for anisotropic elastodynamic finite-difference grids journal May 2011
Mimetic seismic wave modeling including topography on deformed staggered grids journal May 2014
An immersed free-surface boundary treatment for seismic wave simulation journal September 2015
On the internal interfaces in finite-difference schemes journal July 2017
Efficient time-domain 3D elastic and viscoelastic full-waveform inversion using a spectral-element method on flexible Cartesian-based mesh journal January 2019
Efficiency of the spectral element method with very high polynomial degree to solve the elastic wave equation journal January 2020
Tensorial elastodynamics for isotropic media journal November 2020
An overset-grid finite-difference algorithm for simulating elastic wave propagation in media with complex free-surface topography journal July 2021
P-SV-wave propagation in heterogeneous media: Velocity-stress distributional finite-difference method journal April 2023
3D Fourth-Order Staggered-Grid Finite-Difference Schemes: Stability and Grid Dispersion journal June 2000
Three-Dimensional Wave-Field Simulation in Heterogeneous Transversely Isotropic Medium with Irregular Free Surface journal May 2011
Seismic‐Wave Modeling in the Presence of Surface Topography in 2D General Anisotropic Media by a Curvilinear Grid Finite‐Difference Method journal April 2016
Material Interface in the Finite-Difference Modeling: A Fundamental View journal November 2022
Dynamics of an expanding circular fault journal June 1976
Modeling three-dimensional site response effects in the Marina District Basin, San Francisco, California journal August 1993
The seismic response of the Los Angeles basin, California journal April 1998
The spectral element method: An efficient tool to simulate the seismic response of 2D and 3D geological structures journal April 1998
Three-dimensional simulation of the near-fault ground motion for the 1995 Hyogo-Ken Nanbu (Kobe), Japan, earthquake journal April 1998
AxiSEM: broadband 3-D seismic wavefields in axisymmetric media journal January 2014

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