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Combining different 3-D global and regional seismic wave propagation solvers towards box tomography in the deep Earth

Journal Article · · Geophysical Journal International
DOI:https://doi.org/10.1093/gji/ggac394· OSTI ID:2422898

SUMMARY

In previous publications, we presented a general framework, which we called ‘box tomography’, that allows the coupling of any two different numerical seismic wave propagation solvers, respectively outside and inside a target region, or ‘box’. The goal of such hybrid wavefield computations is to reduce the cost of computations in the context of full-waveform inversion for structure within the target region, when sources and/or receivers are located at large distances from the box. Previously, we had demonstrated this approach with sources and receivers outside the target region in a 2-D acoustic spherical earth model, and demonstrated and applied this methodology in the 3-D spherical elastic Earth in a continental scale inversion in which all stations were inside the target region. Here we extend the implementation of the approach to the case of a 3-D global elastic earth model in the case where both sources and stations are outside the box. We couple a global 3-D solver, SPECFEM3D_GLOBE, for the computation of the wavefield and Green’s functions in a reference 3-D model, with a regional 3-D solver, RegSEM, for the computation of the wavefield within the box, by means of time-reversal mirrors. We briefly review key theoretical aspects, showing in particular how only the displacement is needed to be stored at the boundary of the box. We provide details of the practical implementation, including the geometrical design of the mirrors, how we deal with different sizes of meshes in the two solvers, and how we address memory-saving through the use of B-spline compression of the recorded wavefield on the mirror. The proposed approach is numerically efficient but also versatile, since adapting it to other solvers is straightforward and does not require any changes in the solver codes themselves, as long as the displacement can be recovered at any point in time and space. We present benchmarks of the hybrid computations against direct computations of the wavefield between a source and an array of stations in a realistic geometry centred in the Yellowstone region, with and without a hypothetical plume within the ‘box’, and with a 1-D or a 3-D background model, down to a period of 20 s. The ultimate goal of this development is for applications in the context of imaging of remote target regions in the deep mantle, such as, for example, Ultra Low Velocity Zones.

Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
Sponsoring Organization:
USDOE
DOE Contract Number:
AC02-05CH11231
OSTI ID:
2422898
Journal Information:
Geophysical Journal International, Journal Name: Geophysical Journal International Journal Issue: 2 Vol. 232; ISSN 0956-540X
Publisher:
Oxford University Press
Country of Publication:
United States
Language:
English

References (54)

Multifrequency measurements of core-diffractedPwaves (Pdiff) for global waveform tomography journal August 2015
A three-dimensional radially anisotropic model of shear velocity in the whole mantle journal October 2006
Localized time-lapse elastic waveform inversion using wavefield injection and extrapolation: 2-D parametric studies journal March 2017
An unsually large ULVZ at the base of the mantle near Hawaii journal November 2012
Shear wave splitting in three-dimensional anisotropic media journal November 2004
Shear wave velocities in the upper mantle of the Western Alps: new constraints using array analysis of seismic surface waves journal April 2017
Full waveform tomography for radially anisotropic structure: New insights into present and past states of the Australasian upper mantle journal February 2010
Efficient global wave propagation adapted to 3-D structural complexity: a pseudospectral/spectral-element approach journal September 2016
High-resolution seismic array imaging based on an SEM-FK hybrid method journal January 2014
Seismic evidence for an Iceland thermo-chemical plume in the Earth's lowermost mantle journal May 2015
Global adjoint tomography: first-generation model journal September 2016
Hybrid modeling of P-SV seismic motion at inhomogeneous viscoelastic topographic structures journal October 1997
Finite-frequency tomography using adjoint methods-Methodology and examples using membrane surface waves journal March 2007
Modeling of Wave Propagation in Inhomogeneous Media journal April 2005
Global mantle shear velocity model developed using nonlinear asymptotic coupling theory journal October 1996
AxiSEM: broadband 3-D seismic wavefields in axisymmetric media journal January 2014
Efficiency of the spectral element method with very high polynomial degree to solve the elastic wave equation journal January 2020
Instaseis: instant global seismograms based on a broadband waveform database journal January 2015
Mapping the upper mantle: Three-dimensional modeling of earth structure by inversion of seismic waveforms journal July 1984
Box Tomography: first application to the imaging of upper-mantle shear velocity and radial anisotropy structure beneath the North American continent journal February 2018
RegSEM: a versatile code based on the spectral element method to compute seismic wave propagation at the regional scale: RegSEM: a regional spectral element code journal January 2012
Spectral-element simulations of global seismic wave propagation-I. Validation journal May 2002
Accelerating numerical wave propagation using wavefield adapted meshes. Part I: forward and adjoint modelling journal February 2020
Seismic evidence for ultralow-velocity zones beneath Africa and eastern Atlantic journal October 2000
The spectral element method: An efficient tool to simulate the seismic response of 2D and 3D geological structures journal April 1998
A two-dimensional spectral-element method for computing spherical-earth seismograms - I. Moment-tensor source journal March 2007
Broad plumes rooted at the base of the Earth's mantle beneath major hotspots journal September 2015
A two-dimensional P-SV hybrid method and its application to modeling localized structures near the core-mantle boundary journal August 1998
On the numerical implementation of time-reversal mirrors for tomographic imaging journal December 2013
Coupling the spectral element method with a modal solution for elastic wave propagation in global earth models journal January 2003
High-frequency seismic wave modelling of the deep Earth based on hybrid methods and spectral-element simulations: a conceptual study journal September 2019
Seismic evidence for partial melting at the root of major hot spot plumes journal July 2017
Inferring upper-mantle structure by full waveform tomography with the spectral element method: SEM based global tomography journal March 2011
On the validity of the planar wave approximation to compute synthetic seismograms of teleseismic body waves in a 3-D regional model journal December 2020
Waveform Tomography Reveals Channeled Flow at the Base of the Oceanic Asthenosphere journal September 2013
The three-dimensional shear velocity structure of the mantle from the inversion of body, surface and higher-mode waveforms journal December 2000
The deep roots of the western Pyrenees revealed by full waveform inversion of teleseismic P waves journal May 2016
Seismic structure of the European upper mantle based on adjoint tomography journal February 2015
On the effective seismic input for non-linear soil-structure interaction systems journal January 1984
Global adjoint tomography—model GLAD-M25 journal May 2020
3-D scattering of elastic waves by small-scale heterogeneities in the Earth’s mantle journal July 2020
A hybrid method to compute short-period synthetic seismograms of teleseismic body waves in a 3-D regional model journal November 2012
The Newmark scheme as velocity-stress time-staggering: an efficient PML implementation for spectral element simulations of elastodynamics journal June 2005
Time reversal of ultrasonic fields. I. Basic principles journal September 1992
Fast computation of synthetic seismograms within a medium containing remote localized perturbations: a numerical solution to the scattering problem journal November 2016
Whole-mantle radially anisotropic shear velocity structure from spectral-element waveform tomography journal September 2014
The Collaborative Seismic Earth Model: Generation 1 journal May 2018
Box tomography: localized imaging of remote targets buried in an unknown medium, a step forward for understanding key structures in the deep Earth journal April 2017
Novel Hybrid Numerical Simulation of the Wave Equation by Combining Physical and Numerical Representation Theorems and a Review of Hybrid Methodologies journal May 2022
AxiSEM3D: broad-band seismic wavefields in 3-D global earth models with undulating discontinuities journal February 2019
The global CMT project 2004–2010: Centroid-moment tensors for 13,017 earthquakes journal June 2012
Preliminary reference Earth model journal June 1981
High-frequency global wavefields for local 3-D structures by wavefield injection and extrapolation journal November 2020
An efficient method for calculating finite‐difference seismograms after model alterations journal May 2000