Modular and flexible spectral-element waveform modelling in two and three dimensions

Afanasiev, Michael; Boehm, Christian; Driel, Martin van; Krischer, Lion; Rietmann, Max; May, Dave; Knepley, Matthew G.; Fichtner, Andreas

doi:10.1093/gji/ggy469

Cited by 181 publications

(149 citation statements)

References 87 publications

Supporting

Mentioning

149

Contrasting

Order By: Relevance

“…Both the forward and inverse problem are based on the spectral element solver Salvus (Afanasiev et al, ). We thus operate in the time domain, and we can account for 3‐D heterogeneous and attenuating media, as well as for topography and internal discontinuities.…”

Section: Theorymentioning

confidence: 99%

See 1 more Smart Citation

Global‐Scale Full‐Waveform Ambient Noise Inversion

et al. 2020

Self Cite

View full text Add to dashboard Cite

We present the first application of full-waveform ambient noise inversion to observed correlation functions that jointly constrains 3-D Earth structure and heterogeneous noise sources. For this, we model and interpret ambient noise correlations as recordings of correlation wavefields, which completely eliminates the limiting assumptions of Green's function retrieval, such as equipartitioning and homogeneous random noise sources. Our method accounts for seismic wave propagation physics in 3-D heterogeneous and attenuating media and also for the heterogeneous and nonstationary nature of the ambient noise field. Designed as a proof of concept, the study considers long periods from 100 to 300 s, thus focusing on the Earth's hum. Treating correlations as self-consistent observables allows us to make separate measurements on the causal and acausal branches of correlation functions, without any need to choose one of them or form the average. We validate our approach by assessing the quality of the obtained models and by comparing them to previous studies. This work is a step toward the establishment of full-waveform ambient noise inversion as a tomographic technique with the goal to go beyond ambient noise tomography based on Green's function retrieval.

show abstract

Section: Theorymentioning

confidence: 99%

“…The authors acknowledge support from and discussions within TIDES COST ActionES1401. Numerical simulations were performed with Salvus (Afanasiev et al, ). S20RTS was downloaded from Submachine (Hosseini et al, ).…”

Section: Acknowledgmentsmentioning

confidence: 99%

Global‐Scale Full‐Waveform Ambient Noise Inversion

et al. 2020

Self Cite

View full text Add to dashboard Cite

show abstract

“…Instaseis is a very efficient tool for computing seismograms for any type of arbitrary source at the order of seconds. For 3D case, we choose to use Salvus (Afanasiev et al 2018).…”

Section: Models and Methodsmentioning

confidence: 99%

The Marsquake Service: Securing Daily Analysis of SEIS Data and Building the Martian Seismicity Catalogue for InSight

et al. 2018

View full text Add to dashboard Cite

“…In contrast to industry, earthquake seismologists have focused exclusively on the (an)elastic case because shear waves and surface waves are integral parts of the earthquake-generated wavefield. Here, time-domain solvers based on the spectral-element method [100][101][102][103][104] are heavily favoured because of their ability to accommodate topography, bathymetry and fluid-solid boundaries, such as the core-mantle boundary (CMB), 1990s -2D FWI successfully applied (Pratt et al [34][35][36][37] 1977 -Development of adjoint-state method for inverse problems in exploration seismology ( Tarantola 62 ) 1987 -Waveform inversion in spherically symmetric background models using the surface wavefield T e c h n i c a l R e v i e w s thereby accurately capturing dispersive surface waves and diffracted waves.…”

Section: Adjoint Simulationsmentioning

confidence: 99%

“…The computational cost of adjoint-state calculations [60][61][62] is independent of the number of model parameters and the number of receivers, initially prompting the development of FWI in exploration seismology. Although that field uses both time-domain 128 and frequency-domain [129][130][131] implementations of these simulations, time-domain spectral-element solvers are preferred in earthquake seismology 100,104,132,133 . These solvers use an 'optimize-then-discretize' approach to the adjoint operator 134 .…”

Section: Measurementsmentioning

confidence: 99%

Seismic wavefield imaging of Earth’s interior across scales

Tromp

2019

Nat Rev Earth Environ

116

View full text Add to dashboard Cite

Seismic full-waveform inversion (FWI) for imaging Earth's interior was introduced in the late 1970s. Its ultimate goal is to use all of the information in a seismogram to understand the structure and dynamics of Earth, such as hydrocarbon reservoirs, the nature of hotspots and the forces behind plate motions and earthquakes. Thanks to developments in high-performance computing and advances in modern numerical methods in the past 10 years, 3D FWI has become feasible for a wide range of applications and is currently used across nine orders of magnitude in frequency and wavelength. A typical FWI workflow includes selecting seismic sources and a starting model, conducting forward simulations, calculating and evaluating the misfit, and optimizing the simulated model until the observed and modelled seismograms converge on a single model. This method has revealed Pleistocene ice scrapes beneath a gas cloud in the Valhall oil field, overthrusted Iberian crust in the western Pyrenees mountains, deep slabs in subduction zones throughout the world and the shape of the African superplume. The increased use of multi-parameter inversions, improved computational and algorithmic efficiency , and the inclusion of Bayesian statistics in the optimization process all stand to substantially improve FWI, overcoming current computational or data-quality constraints. In this Technical Review, FWI methods and applications in controlled-source and earthquake seismology are discussed, followed by a perspective on the future of FWI, which will ultimately result in increased insight into the physics and chemistry of Earth's interior.

show abstract

Modular and flexible spectral-element waveform modelling in two and three dimensions

Cited by 181 publications

References 87 publications

Global‐Scale Full‐Waveform Ambient Noise Inversion

Global‐Scale Full‐Waveform Ambient Noise Inversion

The Marsquake Service: Securing Daily Analysis of SEIS Data and Building the Martian Seismicity Catalogue for InSight

Seismic wavefield imaging of Earth’s interior across scales

Contact Info

Product

Resources

About