Acoustic- and elastic-waveform inversion with total generalized p-variation regularization

Gao, Kai; Huang, Lianjie

doi:10.1093/gji/ggz203

Title: Acoustic- and elastic-waveform inversion with total generalized p-variation regularization

Abstract

Geophysical models usually contain both sharp interfaces and smooth variations, and it is difficult to accurately account for both of these two types of medium parameter variations using conventional full-waveform inversion methods. We develop a novel full-waveform inversion method for acoustic and elastic waves using a total generalized p-variation regularization scheme to address these challenging problems. We decompose the full-waveform inversion into two subproblems and solve these two minimization subproblems using an alternating-direction minimization strategy. One significant advantage of the total generalized p-variation regularization scheme is that it can simultaneously reconstruct sharp interfaces and smooth background variations of geophysical parameters. Such capability can also effectively suppress the noises in source-encoded inversion and sparse-data inversion, or inversion of noisy data. We demonstrate the advantages of our full-waveform inversion method using a checkerboard model, a modified elastic SEG/EAGE overthrust model, and a land field seismic data set. Our conclusions of synthetic and field seismic data demonstrate that our method reconstructs both smooth background variations and sharp interfaces of subsurface geophysical properties accurately, and provides a useful tool for accurate and reliable inversion of field seismic data.

Authors:

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

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Publication Date:: Thu May 02 00:00:00 EDT 2019

Research Org.:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Org.:: USDOE Office of Energy Efficiency and Renewable Energy (EERE). Geothermal Technologies Office (EE-4G)

OSTI Identifier:: 1525828

Report Number(s):: LA-UR-18-22336
Journal ID: ISSN 0956-540X

Grant/Contract Number:: 89233218CNA000001

Resource Type:: Accepted Manuscript

Journal Name:: Geophysical Journal International

Additional Journal Information:: Journal Volume: 218; Journal Issue: 2; Journal ID: ISSN 0956-540X

Publisher:: Oxford University Press

Country of Publication:: United States

Language:: English

Subject:: 58 GEOSCIENCES; Inverse theory; Waveform inversion; Seismic tomography; Wave propagation

Citation Formats


                    Gao, Kai, and Huang, Lianjie. Acoustic- and elastic-waveform inversion with total generalized p-variation regularization.  United States: N. p., 2019. 
Web.  doi:10.1093/gji/ggz203.

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                    Gao, Kai, & Huang, Lianjie. Acoustic- and elastic-waveform inversion with total generalized p-variation regularization.  United States.  https://doi.org/10.1093/gji/ggz203

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                    Gao, Kai, and Huang, Lianjie. Thu .  
"Acoustic- and elastic-waveform inversion with total generalized p-variation regularization".  United States.  https://doi.org/10.1093/gji/ggz203.  https://www.osti.gov/servlets/purl/1525828.

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@article{osti_1525828,

  title        = {Acoustic- and elastic-waveform inversion with total generalized p-variation regularization},

  author       = {Gao, Kai and Huang, Lianjie},

  abstractNote = {Geophysical models usually contain both sharp interfaces and smooth variations, and it is difficult to accurately account for both of these two types of medium parameter variations using conventional full-waveform inversion methods. We develop a novel full-waveform inversion method for acoustic and elastic waves using a total generalized p-variation regularization scheme to address these challenging problems. We decompose the full-waveform inversion into two subproblems and solve these two minimization subproblems using an alternating-direction minimization strategy. One significant advantage of the total generalized p-variation regularization scheme is that it can simultaneously reconstruct sharp interfaces and smooth background variations of geophysical parameters. Such capability can also effectively suppress the noises in source-encoded inversion and sparse-data inversion, or inversion of noisy data. We demonstrate the advantages of our full-waveform inversion method using a checkerboard model, a modified elastic SEG/EAGE overthrust model, and a land field seismic data set. Our conclusions of synthetic and field seismic data demonstrate that our method reconstructs both smooth background variations and sharp interfaces of subsurface geophysical properties accurately, and provides a useful tool for accurate and reliable inversion of field seismic data.},

  doi          = {10.1093/gji/ggz203},

  journal      = {Geophysical Journal International},

  number       = 2,

  volume       = 218,

  place        = {United States},

  year         = {Thu May 02 00:00:00 EDT 2019},

  month        = {Thu May 02 00:00:00 EDT 2019}

}

Copy to clipboard

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Title: Acoustic- and elastic-waveform inversion with total generalized p-variation regularization

Abstract

Citation Formats

Migration velocity analysis and waveform inversion journal, November 2008

Waveform acoustic impedance inversion with spectral shaping journal, July 2013

Selective data extension for full-waveform inversion: An efficient solution for cycle skipping journal, February 2018

Fast algorithms for nonconvex compressive sensing: MRI reconstruction from very few data conference, June 2009

Nonconvex compressive sensing for X-ray CT: An algorithm comparison conference, November 2013

Interpretation of AVO anomalies journal, September 2010

The Split Bregman Method for L1-Regularized Problems journal, January 2009

An Introduction To Compressive Sampling journal, March 2008

A nonsplit complex frequency-shifted PML based on recursive integration for FDTD modeling of elastic waves journal, March 2007

Wave‐equation traveltime inversion journal, May 1991

Nonlinear total variation based noise removal algorithms journal, November 1992

Compressed sensing journal, April 2006

An optimal transport approach for seismic tomography: application to 3D full waveform inversion journal, September 2016

Improving full-waveform inversion by wavefield reconstruction with the alternating direction method of multipliers journal, January 2019

Coda-wave interferometry analysis of time-lapse VSP data for monitoring geological carbon sequestration journal, July 2010

Constrained full-waveform inversion by model reparameterization1 journal, March 2012

Adaptive waveform inversion: Theory journal, November 2016

A General Framework for Sparsity-Based Denoising and Inversion journal, November 2011

Constrained waveform inversion for automatic salt flooding journal, March 2016

Exact Reconstruction of Sparse Signals via Nonconvex Minimization journal, October 2007

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

Regularized seismic full waveform inversion with prior model information journal, March 2013

Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers book, January 2011

Total Generalized Variation journal, January 2010

Blocky regularization schemes for Full-Waveform Inversion★: Blocky FWI journal, April 2012

Full waveform inversion method using envelope objective function without low frequency data journal, October 2014

A correlation-based misfit criterion for wave-equation traveltime tomography: Correlation-based traveltime tomography journal, July 2010

Multiparameter full-waveform inversion: Marine and land examples journal, September 2013

Inversion of seismic reflection data in the acoustic approximation journal, August 1984

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

Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information journal, February 2006

A deconvolution‐based objective function for wave‐equation inversion conference, May 2012

Efficient waveform tomography for lithospheric imaging: implications for realistic, two-dimensional acquisition geometries and low-frequency data journal, January 2007

Full-waveform inversion using seislet regularization journal, June 2017

Acoustic- and elastic-waveform inversion using a modified total-variation regularization scheme journal, January 2014

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

Geologically constrained full-waveform inversion using an anisotropic diffusion based regularization scheme: Application to a 3D offshore Brazil dataset conference, August 2014

Measuring the misfit between seismograms using an optimal transport distance: application to full waveform inversion journal, February 2016

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

Simultaneous inversion of full data bandwidth by tomographic full-waveform inversion journal, May 2014

Constrained Total Generalized p-Variation Minimization for Few-View X-Ray Computed Tomography Image Reconstruction journal, February 2016

Correlation-based reflection full-waveform inversion journal, July 2015

Numerical Methods for the Solution of Ill-Posed Problems book, January 1995

Elastic wave‐field inversion of reflection and transmission data journal, June 1988

A Three-Operator Splitting Scheme and its Optimization Applications journal, June 2017

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

Second order total generalized variation (TGV) for MRI journal, December 2010

Application of optimal transport and the quadratic Wasserstein metric to full-waveform inversion journal, January 2018

Hybrid Tikhonov + total-variation regularization for imaging large-contrast media by full-waveform inversion conference, August 2018

Interparameter trade-off quantification for isotropic-elastic full-waveform inversion with various model parameterizations journal, March 2019

Three-dimensional frequency-domain full-waveform inversion with an iterative solver journal, November 2009

Sensitivity analyses of acoustic impedance inversion with full-waveform inversion journal, February 2018

Migration velocity analysis and waveform inversion
journal, November 2008

Waveform acoustic impedance inversion with spectral shaping
journal, July 2013

Selective data extension for full-waveform inversion: An efficient solution for cycle skipping
journal, February 2018

Fast algorithms for nonconvex compressive sensing: MRI reconstruction from very few data
conference, June 2009

Nonconvex compressive sensing for X-ray CT: An algorithm comparison
conference, November 2013

Interpretation of AVO anomalies
journal, September 2010

The Split Bregman Method for L1-Regularized Problems
journal, January 2009

An Introduction To Compressive Sampling
journal, March 2008

A nonsplit complex frequency-shifted PML based on recursive integration for FDTD modeling of elastic waves
journal, March 2007

Wave‐equation traveltime inversion
journal, May 1991

Nonlinear total variation based noise removal algorithms
journal, November 1992

Compressed sensing
journal, April 2006

An optimal transport approach for seismic tomography: application to 3D full waveform inversion
journal, September 2016

Improving full-waveform inversion by wavefield reconstruction with the alternating direction method of multipliers
journal, January 2019

Coda-wave interferometry analysis of time-lapse VSP data for monitoring geological carbon sequestration
journal, July 2010

Constrained full-waveform inversion by model reparameterization1
journal, March 2012

Adaptive waveform inversion: Theory
journal, November 2016

A General Framework for Sparsity-Based Denoising and Inversion
journal, November 2011

Constrained waveform inversion for automatic salt flooding
journal, March 2016

Exact Reconstruction of Sparse Signals via Nonconvex Minimization
journal, October 2007

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

Regularized seismic full waveform inversion with prior model information
journal, March 2013

Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers
book, January 2011

Total Generalized Variation
journal, January 2010

Blocky regularization schemes for Full-Waveform Inversion★: Blocky FWI
journal, April 2012

Full waveform inversion method using envelope objective function without low frequency data
journal, October 2014

A correlation-based misfit criterion for wave-equation traveltime tomography: Correlation-based traveltime tomography
journal, July 2010

Multiparameter full-waveform inversion: Marine and land examples
journal, September 2013

Inversion of seismic reflection data in the acoustic approximation
journal, August 1984

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

Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
journal, February 2006

A deconvolution‐based objective function for wave‐equation inversion
conference, May 2012

Efficient waveform tomography for lithospheric imaging: implications for realistic, two-dimensional acquisition geometries and low-frequency data
journal, January 2007

Full-waveform inversion using seislet regularization
journal, June 2017

Acoustic- and elastic-waveform inversion using a modified total-variation regularization scheme
journal, January 2014

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

Geologically constrained full-waveform inversion using an anisotropic diffusion based regularization scheme: Application to a 3D offshore Brazil dataset
conference, August 2014

Measuring the misfit between seismograms using an optimal transport distance: application to full waveform inversion
journal, February 2016

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

Simultaneous inversion of full data bandwidth by tomographic full-waveform inversion
journal, May 2014

Constrained Total Generalized p-Variation Minimization for Few-View X-Ray Computed Tomography Image Reconstruction
journal, February 2016

Correlation-based reflection full-waveform inversion
journal, July 2015

Numerical Methods for the Solution of Ill-Posed Problems
book, January 1995

Elastic wave‐field inversion of reflection and transmission data
journal, June 1988

A Three-Operator Splitting Scheme and its Optimization Applications
journal, June 2017

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

Second order total generalized variation (TGV) for MRI
journal, December 2010

Application of optimal transport and the quadratic Wasserstein metric to full-waveform inversion
journal, January 2018

Hybrid Tikhonov + total-variation regularization for imaging large-contrast media by full-waveform inversion
conference, August 2018

Interparameter trade-off quantification for isotropic-elastic full-waveform inversion with various model parameterizations
journal, March 2019

Three-dimensional frequency-domain full-waveform inversion with an iterative solver
journal, November 2009

Sensitivity analyses of acoustic impedance inversion with full-waveform inversion
journal, February 2018