Shear reflectivity compensation in full-waveform inversion using least-squares reverse-time migration

Feng, Zongcai; Huang, Lianjie

doi:10.1093/gji/ggab193

Title: Shear reflectivity compensation in full-waveform inversion using least-squares reverse-time migration

Abstract

SUMMARY The computational cost of elastic-waveform inversion is too high for inverting PP reflections, while using acoustic full-waveform inversion (FWI) is inaccurate because it does not depend on the shear modulus/velocity/impedance that affects elastic PP wavefield amplitudes. To solve this problem, we develop a waveform inversion method that uses acoustic least-squares reverse-time migration (LSRTM) to compensate the shear reflectivity for acoustic FWI. Our method is based on the quasi-elastic-wave equation developed by Chapman et al. (2014). The quasi-elastic-wave equation uses a linearized acoustic-wave equation with shear modulus μ as a virtual source to correct the acoustic PP wavefield amplitudes toward elastic ones. Our waveform inversion method inverts for elastic parameters by minimizing the L2 norm of the difference between recorded and predicted PP reflections modelled using the quasi-elastic-wave equation. Numerical tests on synthetic and field data show that our method can properly handle the amplitudes of elastic PP reflections and provides an accurate estimate of the P- and S-wave velocities/impedances and, in some cases, the density. The method does not need the computationally expensive numerical solution to the elastic-wave equation. It also gives a better estimate of elastic parameters than a pure LSRTM method for elastic PP reflections.

Authors:

^[1]; Huang, Lianjie ^[1]

Los Alamos National Laboratory, Los Alamos, NM 87545, USA

Publication Date:: Wed May 19 00:00:00 EDT 2021

Sponsoring Org.:: USDOE

OSTI Identifier:: 1797327

Resource Type:: Published Article

Journal Name:: Geophysical Journal International

Additional Journal Information:: Journal Name: Geophysical Journal International Journal Volume: 227 Journal Issue: 1; Journal ID: ISSN 0956-540X

Publisher:: Oxford University Press

Country of Publication:: United Kingdom

Language:: English

Citation Formats


                    Feng, Zongcai, and Huang, Lianjie. Shear reflectivity compensation in full-waveform inversion using least-squares reverse-time migration.  United Kingdom: N. p., 2021. 
Web.  doi:10.1093/gji/ggab193.

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                    Feng, Zongcai, & Huang, Lianjie. Shear reflectivity compensation in full-waveform inversion using least-squares reverse-time migration.  United Kingdom.  https://doi.org/10.1093/gji/ggab193

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                    Feng, Zongcai, and Huang, Lianjie. Wed .  
"Shear reflectivity compensation in full-waveform inversion using least-squares reverse-time migration".  United Kingdom.  https://doi.org/10.1093/gji/ggab193.

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@article{osti_1797327,

  title        = {Shear reflectivity compensation in full-waveform inversion using least-squares reverse-time migration},

  author       = {Feng, Zongcai and Huang, Lianjie},

  abstractNote = {SUMMARY The computational cost of elastic-waveform inversion is too high for inverting PP reflections, while using acoustic full-waveform inversion (FWI) is inaccurate because it does not depend on the shear modulus/velocity/impedance that affects elastic PP wavefield amplitudes. To solve this problem, we develop a waveform inversion method that uses acoustic least-squares reverse-time migration (LSRTM) to compensate the shear reflectivity for acoustic FWI. Our method is based on the quasi-elastic-wave equation developed by Chapman et al. (2014). The quasi-elastic-wave equation uses a linearized acoustic-wave equation with shear modulus μ as a virtual source to correct the acoustic PP wavefield amplitudes toward elastic ones. Our waveform inversion method inverts for elastic parameters by minimizing the L2 norm of the difference between recorded and predicted PP reflections modelled using the quasi-elastic-wave equation. Numerical tests on synthetic and field data show that our method can properly handle the amplitudes of elastic PP reflections and provides an accurate estimate of the P- and S-wave velocities/impedances and, in some cases, the density. The method does not need the computationally expensive numerical solution to the elastic-wave equation. It also gives a better estimate of elastic parameters than a pure LSRTM method for elastic PP reflections.},

  doi          = {10.1093/gji/ggab193},

  journal      = {Geophysical Journal International},

  number       = 1,

  volume       = 227,

  place        = {United Kingdom},

  year         = {Wed May 19 00:00:00 EDT 2021},

  month        = {Wed May 19 00:00:00 EDT 2021}

}

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Similar Records

Title: Shear reflectivity compensation in full-waveform inversion using least-squares reverse-time migration

Abstract

Citation Formats

A simplification of the Zoeppritz equations journal, April 1985

Elastic least-squares reverse time migration journal, July 2017

Joint PP and PS plane-wave wave-equation migration-velocity analysis journal, July 2019

Multiparameter full waveform inversion of multicomponent ocean-bottom-cable data from the Valhall field. Part 2: imaging compressive-wave and shear-wave velocities journal, June 2013

Joint migration velocity analysis of PP- and PS-waves for VTI media journal, September 2013

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Robust elastic nonlinear waveform inversion: Application to real data journal, May 1990

Elastic full waveform inversion of multi-component OBC seismic data journal, November 2008

Formation Velocity and Density—The Diagnostic Basics for Stratigraphic Traps journal, December 1974

Acoustic wave‐equation traveltime and waveform inversion of crosshole seismic data journal, May 1995

Scattering characteristics of elastic waves by an elastic heterogeneity journal, April 1985

Numerical Optimization book, January 1999

Elastic full waveform inversion of multicomponent ocean-bottom cable seismic data: Application to Alba Field, U. K. North Sea journal, November 2010

How thin is a thin bed? journal, December 1973

Multiscale seismic waveform inversion journal, September 1995

A review of the adjoint-state method for computing the gradient of a functional with geophysical applications journal, November 2006

Depth-consistent reflection tomography using PP and PS seismic data journal, September 2005

Multiparameter elastic full waveform inversion with facies-based constraints journal, March 2018

True-amplitude linearized waveform inversion with the quasi-elastic wave equation journal, November 2019

Wave-equation migration velocity analysis using plane-wave common-image gathers journal, July 2017

Acoustic- and elastic-waveform inversion with total generalized p-variation regularization journal, May 2019

A guided tour of multiparameter full-waveform inversion with multicomponent data: From theory to practice journal, September 2013

An overview of full-waveform inversion in exploration geophysics journal, November 2009

Imaging elastic media by corrections to acoustic propagation conference, October 2012

Nonlinear elastic waveform inversion of land seismic reflection data journal, January 1992

Multicomponent joint migration velocity analysis in the angle domain for PP-waves and PS-waves journal, January 2012

Correcting an acoustic wavefield for elastic effects journal, March 2014

Elastic least-squares reverse time migration via linearized elastic full-waveform inversion with pseudo-Hessian preconditioning journal, September 2017

Amplitude and AVO responses of a single thin bed journal, July 2003

Elastic reflection-based waveform inversion with a nonlinear approach journal, October 2017

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An Extension of the born Inversion Method to a Depth Dependent Reference Profile* journal, November 1985

Multiparameter deblurring filter and its application to elastic migration and inversion journal, September 2018

Nonlinear two‐dimensional elastic inversion of multioffset seismic data journal, September 1987

The domain of applicability of acoustic full-waveform inversion for marine seismic data journal, November 2009

A strategy for nonlinear elastic inversion of seismic reflection data journal, October 1986

Geophysical data and gradient translation using deep neural networks conference, September 2020

A method for correcting acoustic finite-difference amplitudes for elastic effects journal, July 2014

1-D elastic waveform inversion: A divide‐and‐conquer approach journal, September 1998

Elastic corrections to acoustic finite‐difference simulations conference, October 2010

Least-squares reverse time migration in elastic media journal, November 2016

Effects of shallow reflectors on amplitude versus offset (seismic lithology) analysis conference, March 2012

Waveform inverstion of marine reflection seismograms for P impedance and Poisson's ratio journal, February 1996

A simplification of the Zoeppritz equations
journal, April 1985

Elastic least-squares reverse time migration
journal, July 2017

Joint PP and PS plane-wave wave-equation migration-velocity analysis
journal, July 2019

Multiparameter full waveform inversion of multicomponent ocean-bottom-cable data from the Valhall field. Part 2: imaging compressive-wave and shear-wave velocities
journal, June 2013

Joint migration velocity analysis of PP- and PS-waves for VTI media
journal, September 2013

Acoustic full-waveform inversion in an elastic world
journal, May 2018

Robust elastic nonlinear waveform inversion: Application to real data
journal, May 1990

Elastic full waveform inversion of multi-component OBC seismic data
journal, November 2008

Formation Velocity and Density—The Diagnostic Basics for Stratigraphic Traps
journal, December 1974

Acoustic wave‐equation traveltime and waveform inversion of crosshole seismic data
journal, May 1995

Scattering characteristics of elastic waves by an elastic heterogeneity
journal, April 1985

Numerical Optimization
book, January 1999

Elastic full waveform inversion of multicomponent ocean-bottom cable seismic data: Application to Alba Field, U. K. North Sea
journal, November 2010

How thin is a thin bed?
journal, December 1973

Multiscale seismic waveform inversion
journal, September 1995

A review of the adjoint-state method for computing the gradient of a functional with geophysical applications
journal, November 2006

Depth-consistent reflection tomography using PP and PS seismic data
journal, September 2005

Multiparameter elastic full waveform inversion with facies-based constraints
journal, March 2018

True-amplitude linearized waveform inversion with the quasi-elastic wave equation
journal, November 2019

Wave-equation migration velocity analysis using plane-wave common-image gathers
journal, July 2017

Acoustic- and elastic-waveform inversion with total generalized p-variation regularization
journal, May 2019

A guided tour of multiparameter full-waveform inversion with multicomponent data: From theory to practice
journal, September 2013

An overview of full-waveform inversion in exploration geophysics
journal, November 2009

Imaging elastic media by corrections to acoustic propagation
conference, October 2012

Nonlinear elastic waveform inversion of land seismic reflection data
journal, January 1992

Multicomponent joint migration velocity analysis in the angle domain for PP-waves and PS-waves
journal, January 2012

Correcting an acoustic wavefield for elastic effects
journal, March 2014

Elastic least-squares reverse time migration via linearized elastic full-waveform inversion with pseudo-Hessian preconditioning
journal, September 2017

Amplitude and AVO responses of a single thin bed
journal, July 2003

Elastic reflection-based waveform inversion with a nonlinear approach
journal, October 2017

Multiparameter 𝓁 ₁ norm waveform fitting: Interpretation of Gulf of Mexico reflection seismograms
journal, July 1999

An Extension of the born Inversion Method to a Depth Dependent Reference Profile*
journal, November 1985

Multiparameter deblurring filter and its application to elastic migration and inversion
journal, September 2018

Nonlinear two‐dimensional elastic inversion of multioffset seismic data
journal, September 1987

The domain of applicability of acoustic full-waveform inversion for marine seismic data
journal, November 2009

A strategy for nonlinear elastic inversion of seismic reflection data
journal, October 1986

Geophysical data and gradient translation using deep neural networks
conference, September 2020

A method for correcting acoustic finite-difference amplitudes for elastic effects
journal, July 2014

1-D elastic waveform inversion: A divide‐and‐conquer approach
journal, September 1998

Elastic corrections to acoustic finite‐difference simulations
conference, October 2010

Least-squares reverse time migration in elastic media
journal, November 2016

Effects of shallow reflectors on amplitude versus offset (seismic lithology) analysis
conference, March 2012

Waveform inverstion of marine reflection seismograms for P impedance and Poisson's ratio
journal, February 1996