Global seismic attenuation imaging using full-waveform inversion: a comparative assessment of different choices of misfit functionals
Abstract
We present the results of synthetic tests that aim at evaluating the relative performance of three different definitions of misfit functionals in the context of 3-D imaging of shear wave attenuation in the earth’s upper mantle at the global scale, using long-period full-waveform data. The synthetic tests are conducted with simple hypothetical upper-mantle models that contain Qμ anomalies centred at different depths and locations, with or without additional seismic velocity anomalies. To build synthetic waveform data sets, we performed simulations of 50 events in the hypothetical (target) models, using the spectral element method, filtered in the period range 60–400 s. The selected events are chosen among 273 events used in the development of radially anisotropic model SEMUCB-WM1 and recorded at 495 stations worldwide. The synthetic Z-component waveforms correspond to paths and time intervals (fundamental mode and overtone Rayleigh waves) that exist in the real waveform data set. The inversions for shear attenuation structure are carried out using a Gauss–Newton optimization scheme in which the gradient and Hessian are computed using normal mode perturbation theory. The three different misfit functionals considered are based on time domain waveform (WF) and waveform envelope (E-WF) differences, as well as spectral amplitude ratios (SA), betweenmore »
- Authors:
-
- Inst. de Physique du Globe de Paris, Paris (France)
- Inst. de Physique du Globe de Paris, Paris (France); Univ. of California, Berkeley, CA (United States). Berkeley Seismological Lab.; College de France, Paris (France)
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1523659
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Geophysical Journal International
- Additional Journal Information:
- Journal Volume: 212; Journal Issue: 2; Journal ID: ISSN 0956-540X
- Publisher:
- Oxford University Press
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 58 GEOSCIENCES; Seismic attenuation; Seismic tomography
Citation Formats
Karaoğlu, Haydar, and Romanowicz, Barbara. Global seismic attenuation imaging using full-waveform inversion: a comparative assessment of different choices of misfit functionals. United States: N. p., 2017.
Web. doi:10.1093/gji/ggx442.
Karaoğlu, Haydar, & Romanowicz, Barbara. Global seismic attenuation imaging using full-waveform inversion: a comparative assessment of different choices of misfit functionals. United States. https://doi.org/10.1093/gji/ggx442
Karaoğlu, Haydar, and Romanowicz, Barbara. Sat .
"Global seismic attenuation imaging using full-waveform inversion: a comparative assessment of different choices of misfit functionals". United States. https://doi.org/10.1093/gji/ggx442. https://www.osti.gov/servlets/purl/1523659.
@article{osti_1523659,
title = {Global seismic attenuation imaging using full-waveform inversion: a comparative assessment of different choices of misfit functionals},
author = {Karaoğlu, Haydar and Romanowicz, Barbara},
abstractNote = {We present the results of synthetic tests that aim at evaluating the relative performance of three different definitions of misfit functionals in the context of 3-D imaging of shear wave attenuation in the earth’s upper mantle at the global scale, using long-period full-waveform data. The synthetic tests are conducted with simple hypothetical upper-mantle models that contain Qμ anomalies centred at different depths and locations, with or without additional seismic velocity anomalies. To build synthetic waveform data sets, we performed simulations of 50 events in the hypothetical (target) models, using the spectral element method, filtered in the period range 60–400 s. The selected events are chosen among 273 events used in the development of radially anisotropic model SEMUCB-WM1 and recorded at 495 stations worldwide. The synthetic Z-component waveforms correspond to paths and time intervals (fundamental mode and overtone Rayleigh waves) that exist in the real waveform data set. The inversions for shear attenuation structure are carried out using a Gauss–Newton optimization scheme in which the gradient and Hessian are computed using normal mode perturbation theory. The three different misfit functionals considered are based on time domain waveform (WF) and waveform envelope (E-WF) differences, as well as spectral amplitude ratios (SA), between observed and predicted waveforms. We evaluate the performance of the three misfit functional definitions in the presence of seismic noise and unresolved S-wave velocity heterogeneity and discuss the relative importance of physical dispersion effects due to 3-D Qμ structure. We observed that the performance of WF is poorer than the other two misfit functionals in recovering attenuation structure, unless anelastic dispersion effects are taken into account in the calculation of partial derivatives. WF also turns out to be more sensitive to seismic noise than E-WF and SA. Overall, SA performs best for attenuation imaging. Our tests show that it is important to account for 3-D elastic effects (focusing) before inverting for Qμ. Additionally, we show that including high signal-to-noise ratio overtone wave packets is necessary to resolve Qμ structure at depths greater than 250 km.},
doi = {10.1093/gji/ggx442},
journal = {Geophysical Journal International},
number = 2,
volume = 212,
place = {United States},
year = {Sat Oct 14 00:00:00 EDT 2017},
month = {Sat Oct 14 00:00:00 EDT 2017}
}
Web of Science
Works referenced in this record:
Measurement and implications of frequency dependence of attenuation
journal, May 2009
- Lekić, Ved; Matas, Jan; Panning, Mark
- Earth and Planetary Science Letters, Vol. 282, Issue 1-4
Seismic evidence for broad attenuation anomalies in the asthenosphere beneath the Pacific Ocean
journal, March 2017
- Adenis, Alice; Debayle, Eric; Ricard, Yanick
- Geophysical Journal International, Vol. 209, Issue 3
On the measurement of anelastic attenuation using amplitudes of low-frequency surface waves
journal, July 1994
- Romanowicz, Barbara
- Physics of the Earth and Planetary Interiors, Vol. 84, Issue 1-4
Seismic attenuation beneath Europe and the North Atlantic: Implications for water in the mantle
journal, November 2013
- Zhu, Hejun; Bozdağ, Ebru; Duffy, Thomas S.
- Earth and Planetary Science Letters, Vol. 381
Q tomography of the upper mantle using three-component long-period waveforms
journal, May 2004
- Gung, Y.; Romanowicz, B.
- Geophysical Journal International, Vol. 157, Issue 2
Radial profiles of seismic attenuation in the upper mantle based on physical models
journal, October 2008
- Cammarano, Fabio; Romanowicz, Barbara
- Geophysical Journal International, Vol. 175, Issue 1
Linearized Inversion of Seismic Reflection Data*
journal, December 1984
- Tarantola, A.
- Geophysical Prospecting, Vol. 32, Issue 6
A three-dimensional radially anisotropic model of shear velocity in the whole mantle
journal, October 2006
- Panning, Mark; Romanowicz, Barbara
- Geophysical Journal International, Vol. 167, Issue 1
Superplumes from the Core-Mantle Boundary to the Lithosphere: Implications for Heat Flux
journal, April 2002
- Romanowicz, B.
- Science, Vol. 296, Issue 5567
Attenuation of body waves and the Q structure of the mantle
journal, March 1968
- Teng, Ta-Liang
- Journal of Geophysical Research, Vol. 73, Issue 6
Constraining Upper Mantle Anelasticity Using Surface Wave Amplitude Anomalies
journal, August 1993
- Durek, Joseph J.; Ritzwoller, Michael H.; Woodhouse, John H.
- Geophysical Journal International, Vol. 114, Issue 2
Comparison of global waveform inversions with and without considering cross-branch modal coupling
journal, June 1995
- Li, Xiang-Dong; Romanowicz, Barbara
- Geophysical Journal International, Vol. 121, Issue 3
Theoretical background for continental- and global-scale full-waveform inversion in the time-frequency domain
journal, November 2008
- Fichtner, Andreas; Kennett, Brian L. N.; Igel, Heiner
- Geophysical Journal International, Vol. 175, Issue 2
Surface waves and free oscillations in a regionalized earth model
journal, March 1982
- Woodhouse, J. H.; Girnius, T. P.
- Geophysical Journal International, Vol. 68, Issue 3
An anisotropic shear velocity model of the Earth's mantle using normal modes, body waves, surface waves and long-period waveforms
journal, October 2014
- Moulik, P.; Ekström, G.
- Geophysical Journal International, Vol. 199, Issue 3
The thermal structure of cratonic lithosphere from global Rayleigh wave attenuation
journal, January 2017
- Dalton, Colleen A.; Bao, Xueyang; Ma, Zhitu
- Earth and Planetary Science Letters, Vol. 457
Amplitude, phase and path anomalies of mantle waves
journal, December 1986
- Woodhouse, J. H.; Wong, Y. K.
- Geophysical Journal International, Vol. 87, Issue 3
Savani : A variable resolution whole-mantle model of anisotropic shear velocity variations based on multiple data sets
journal, April 2014
- Auer, L.; Boschi, L.; Becker, T. W.
- Journal of Geophysical Research: Solid Earth, Vol. 119, Issue 4
New refinements in attenuation measurements from free-oscillation and surface-wave observations
journal, September 2000
- Roult, Geneviève; Clévédé, Eric
- Physics of the Earth and Planetary Interiors, Vol. 121, Issue 1-2
A global tomographic model of shear attenuation in the upper mantle
journal, July 1995
- Romanowicz, B.
- Journal of Geophysical Research: Solid Earth, Vol. 100, Issue B7
Attenuation in the Earth at Low Frequencies
journal, February 1983
- Masters, G.; Gilbert, F.
- Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 308, Issue 1504
The three-dimensional shear velocity structure of the mantle from the inversion of body, surface and higher-mode waveforms
journal, December 2000
- Mégnin, Charles; Romanowicz, Barbara
- Geophysical Journal International, Vol. 143, Issue 3
Reference frequency of teleseismic body waves: REFERENCE FREQUENCY OF TELESEISMIC BODY WAVES
journal, April 2004
- Oki, S.; Fukao, Y.; Obayashi, M.
- Journal of Geophysical Research: Solid Earth, Vol. 109, Issue B4
Seismic waveform modelling in a 3-D Earth using the Born approximation: potential shortcomings and a remedy
journal, April 2009
- Panning, Mark P.; Capdeville, Yann; Romanowicz, Barbara A.
- Geophysical Journal International, Vol. 177, Issue 1
The upper mantle degree 2: Constraints and inferences from global mantle wave attenuation measurements
journal, January 1990
- Romanowicz, Barbara
- Journal of Geophysical Research, Vol. 95, Issue B7
The oceanic and cratonic upper mantle: Clues from joint interpretation of global velocity and attenuation models
journal, November 2010
- Dalton, Colleen A.; Faul, Ulrich H.
- Lithos, Vol. 120, Issue 1-2
Waveform Tomography Reveals Channeled Flow at the Base of the Oceanic Asthenosphere
journal, September 2013
- French, S.; Lekic, V.; Romanowicz, B.
- Science, Vol. 342, Issue 6155
Measurements and interpretation of normal mode attenuation
journal, June 1978
- Sailor, Richard V.; Dziewonski, Adam M.
- Geophysical Journal International, Vol. 53, Issue 3
The Determination of the Seismic Quality Factor q from vsp Data: a Comparison of Different Computational Methods1
journal, January 1991
- Tonn, Rainer
- Geophysical Prospecting, Vol. 39, Issue 1
Attenuation of seismic waves of very low frequency
journal, June 1975
- Roult, G.
- Physics of the Earth and Planetary Interiors, Vol. 10, Issue 2
Velocity dispersion due to anelasticity; implications for seismology and mantle composition
journal, October 1976
- Liu, H. -P.; Anderson, D. L.; Kanamori, H.
- Geophysical Journal International, Vol. 47, Issue 1
Spherically symmetric attenuation within the Earth from normal mode data
journal, March 1991
- Widmer, Rudolf; Masters, Guy; Gilbert, Freeman
- Geophysical Journal International, Vol. 104, Issue 3
The upper mantle degree two pattern: Constraints from geoscope fundamental spheroidal mode eigenfrequency and attenuation measurements
journal, December 1987
- Romanowicz, Barbara; Roult, Genevieve; Kohl, Thomas
- Geophysical Research Letters, Vol. 14, Issue 12
Asymptotic coupled-mode expressions for multiplet amplitude anomalies and frequency shifts on an aspherical earth
journal, July 1987
- Park, J.
- Geophysical Journal International, Vol. 90, Issue 1
The Effect of A General Aspherical Perturbation on the Free Oscillations of the Earth
journal, May 1978
- Woodhouse, J. H.; Dahlen, F. A.
- Geophysical Journal International, Vol. 53, Issue 2
The effects of the theoretical formalism and data selection on mantle models derived from waveform tomography
journal, August 1999
- Mégnin, Charles; Romanowicz, Barbara
- Geophysical Journal International, Vol. 138, Issue 2
Controls on Rayleigh wave amplitudes: attenuation and focusing
journal, September 2000
- Selby, N. D.; Woodhouse, J. H.
- Geophysical Journal International, Vol. 142, Issue 3
Global models of surface wave attenuation: SURFACE WAVE ATTENUATION
journal, May 2006
- Dalton, Colleen A.; Ekström, Göran
- Journal of Geophysical Research: Solid Earth, Vol. 111, Issue B5
Three-dimensional sensitivity kernels for surface wave observables
journal, July 2004
- Zhou, Ying; Dahlen, F. A.; Nolet, Guust
- Geophysical Journal International, Vol. 158, Issue 1
Spherical-spline parameterization of three-dimensional earth models
journal, November 1995
- Wang, Zheng; Dahlen, F. A.
- Geophysical Research Letters, Vol. 22, Issue 22
Global anisotropy and the thickness of continents
journal, April 2003
- Gung, Yuancheng; Panning, Mark; Romanowicz, Barbara
- Nature, Vol. 422, Issue 6933
Global mantle shear velocity model developed using nonlinear asymptotic coupling theory
journal, October 1996
- Li, Xiang-Dong; Romanowicz, Barbara
- Journal of Geophysical Research: Solid Earth, Vol. 101, Issue B10
Two-dimensional global Rayleigh wave attenuation model by accounting for finite-frequency focusing and defocusing effect
journal, November 2015
- Ma, Zhitu; Masters, Guy; Mancinelli, Nicholas
- Geophysical Journal International, Vol. 204, Issue 1
Spectrum of P and PcP in relation to the mantle-core boundary and attenuation in the mantle
journal, January 1967
- Kanamori, Hiroo
- Journal of Geophysical Research, Vol. 72, Issue 2
3-D upper mantle shear velocity and attenuation from fundamental mode free oscillation data
journal, April 1990
- Roult, G.; Romanowicz, B.; Montagner, J. P.
- Geophysical Journal International, Vol. 101, Issue 1
Coupling spectral elements and modes in a spherical Earth: an extension to the ‘sandwich’ case
journal, July 2003
- Capdeville, Y.; To, A.; Romanowicz, B.
- Geophysical Journal International, Vol. 154, Issue 1
Global lateral variations of shear wave attenuation in the upper mantle
journal, October 1996
- Bhattacharyya, Joydeep; Masters, Guy; Shearer, Peter
- Journal of Geophysical Research: Solid Earth, Vol. 101, Issue B10
On the computation of long period seismograms in a 3-D earth using normal mode based approximations
journal, November 2008
- Romanowicz, Barbara A.; Panning, Mark P.; Gung, Yuancheng
- Geophysical Journal International, Vol. 175, Issue 2
Whole-mantle radially anisotropic shear velocity structure from spectral-element waveform tomography
journal, September 2014
- French, S. W.; Romanowicz, B. A.
- Geophysical Journal International, Vol. 199, Issue 3
A comparison of approaches to the prediction of surface wave amplitude
journal, October 2013
- Dalton, Colleen A.; Hjörleifsdóttir, Vala; Ekström, Göran
- Geophysical Journal International, Vol. 196, Issue 1
Global variation of body-wave attenuation in the upper mantle from teleseismic P wave and S wave spectra: GLOBAL BODY WAVE ATTENUATION
journal, March 2011
- Hwang, Y. K.; Ritsema, J.; Goes, S.
- Geophysical Research Letters, Vol. 38, Issue 8
Constraints on seismic velocities in the Earth from traveltimes
journal, July 1995
- Kennett, B. L. N.; Engdahl, E. R.; Buland, R.
- Geophysical Journal International, Vol. 122, Issue 1
Misfit functions for full waveform inversion based on instantaneous phase and envelope measurements: Misfit functions for full waveform inversion
journal, March 2011
- Bozdağ, Ebru; Trampert, Jeannot; Tromp, Jeroen
- Geophysical Journal International, Vol. 185, Issue 2
Mapping lateral variations in upper mantle attenuation by stacking P and PP spectra : LATERAL VARIATIONS IN UPPER MANTLE
journal, December 2002
- Warren, Linda M.; Shearer, Peter M.
- Journal of Geophysical Research: Solid Earth, Vol. 107, Issue B12
Preliminary reference Earth model
journal, June 1981
- Dziewonski, Adam M.; Anderson, Don L.
- Physics of the Earth and Planetary Interiors, Vol. 25, Issue 4
Shear wave attenuation and dispersion in melt-bearing olivine polycrystals: 1. Specimen fabrication and mechanical testing: ATTENUATION IN MELT-BEARING OLIVINE I
journal, June 2004
- Jackson, Ian; Faul, Ulrich H.; Fitz Gerald, John D.
- Journal of Geophysical Research: Solid Earth, Vol. 109, Issue B6
Importance of anelasticity in the interpretation of seismic tomography
journal, August 1993
- Karato, Shun-ichiro
- Geophysical Research Letters, Vol. 20, Issue 15
Inferring upper-mantle structure by full waveform tomography with the spectral element method: SEM based global tomography
journal, March 2011
- Lekić, V.; Romanowicz, B.
- Geophysical Journal International, Vol. 185, Issue 2
A procedure for estimating lateral variations from low-frequency eigenspectra data
journal, March 1978
- Jordan, T. H.
- Geophysical Journal International, Vol. 52, Issue 3
Effects of elastic focusing on global models of Rayleigh wave attenuation
journal, August 2016
- Bao, Xueyang; Dalton, Colleen A.; Ritsema, Jeroen
- Geophysical Journal International, Vol. 207, Issue 2
Joint inversion for global isotropic and radially anisotropic mantle structure including crustal thickness perturbations: RADIALLY ANISOTROPIC MANTLE STRUCTURE
journal, June 2015
- Chang, Sung-Joon; Ferreira, Ana M. G.; Ritsema, Jeroen
- Journal of Geophysical Research: Solid Earth, Vol. 120, Issue 6
Importance of physical dispersion in surface wave and free oscillation problems: Review
journal, January 1977
- Kanamori, Hiroo; Anderson, Don L.
- Reviews of Geophysics, Vol. 15, Issue 1
Seismic attenuation values obtained from instantaneous-frequency matching and spectral ratios
journal, October 1995
- Matheney, Michael P.; Nowack, Robert L.
- Geophysical Journal International, Vol. 123, Issue 1
The global attenuation structure of the upper mantle
journal, January 2008
- Dalton, Colleen A.; Ekström, Göran; Dziewoński, Adam M.
- Journal of Geophysical Research, Vol. 113, Issue B9
Multiplet-multiplet coupling due to lateral heterogeneity: asymptotic effects on the amplitude and frequency of the Earth's normal modes
journal, July 1987
- Romanowicz, B.
- Geophysical Journal International, Vol. 90, Issue 1
Works referencing / citing this record:
Three‐Dimensional S Velocity Structure of the Mantle Transition Zone Beneath Central America and the Gulf of Mexico Inferred Using Waveform Inversion
journal, September 2019
- Borgeaud, Anselme F. E.; Kawai, Kenji; Geller, Robert J.
- Journal of Geophysical Research: Solid Earth, Vol. 124, Issue 9