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

Journal Article · 01 May 2019 · Geophysical Journal International

DOI: https://doi.org/10.1093/gji/ggz203 · OSTI ID:1525828

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

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

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.

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

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

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 1525828

Report Number(s):: LA-UR-18-22336

Journal Information:: Geophysical Journal International, Journal Name: Geophysical Journal International Journal Issue: 2 Vol. 218; ISSN 0956-540X

Publisher:: Oxford University PressCopyright Statement

Country of Publication:: United States

Language:: English

References (52)

Second order total generalized variation (TGV) for MRI Knoll, Florian; Bredies, Kristian; Pock, Thomas Magnetic Resonance in Medicine, Vol. 65, Issue 2 https://doi.org/10.1002/mrm.22595	journal	December 2010
Numerical Methods for the Solution of Ill-Posed Problems Tikhonov, A. N.; Goncharsky, A. V.; Stepanov, V. V. Springer Dordrecht https://doi.org/10.1007/978-94-015-8480-7	book	January 1995
A Three-Operator Splitting Scheme and its Optimization Applications Davis, Damek; Yin, Wotao Set-Valued and Variational Analysis, Vol. 25, Issue 4 https://doi.org/10.1007/s11228-017-0421-z	journal	June 2017
Nonlinear total variation based noise removal algorithms Rudin, Leonid I.; Osher, Stanley; Fatemi, Emad Physica D: Nonlinear Phenomena, Vol. 60, Issue 1-4 https://doi.org/10.1016/0167-2789(92)90242-F	journal	November 1992
Coda-wave interferometry analysis of time-lapse VSP data for monitoring geological carbon sequestration Zhou, Rongmao; Huang, Lianjie; Rutledge, James T. International Journal of Greenhouse Gas Control, Vol. 4, Issue 4 https://doi.org/10.1016/j.ijggc.2010.01.010	journal	July 2010
Full waveform inversion method using envelope objective function without low frequency data Chi, Benxin; Dong, Liangguo; Liu, Yuzhu Journal of Applied Geophysics, Vol. 109 https://doi.org/10.1016/j.jappgeo.2014.07.010	journal	October 2014
An optimal transport approach for seismic tomography: application to 3D full waveform inversion Métivier, L.; Brossier, R.; Mérigot, Q. Inverse Problems, Vol. 32, Issue 11 https://doi.org/10.1088/0266-5611/32/11/115008	journal	September 2016
Sensitivity analyses of acoustic impedance inversion with full-waveform inversion Yao, Gang; da Silva, Nuno V.; Wu, Di Journal of Geophysics and Engineering, Vol. 15, Issue 2 https://doi.org/10.1088/1742-2140/aaa980	journal	February 2018
Waveform acoustic impedance inversion with spectral shaping Plessix, R. -É.; Li, Y. Geophysical Journal International, Vol. 195, Issue 1 https://doi.org/10.1093/gji/ggt233	journal	July 2013
Acoustic- and elastic-waveform inversion using a modified total-variation regularization scheme Lin, Youzuo; Huang, Lianjie Geophysical Journal International, Vol. 200, Issue 1 https://doi.org/10.1093/gji/ggu393	journal	January 2014
Measuring the misfit between seismograms using an optimal transport distance: application to full waveform inversion Métivier, L.; Brossier, R.; Mérigot, Q. Geophysical Journal International, Vol. 205, Issue 1 https://doi.org/10.1093/gji/ggw014	journal	February 2016
Nonconvex compressive sensing for X-ray CT: An algorithm comparison Chartrand, Rick; Sidky, Emil Y.; Pan, Xiaochuan 2013 Asilomar Conference on Signals, Systems and Computers https://doi.org/10.1109/ACSSC.2013.6810365	conference	November 2013
Fast algorithms for nonconvex compressive sensing: MRI reconstruction from very few data Chartrand, Rick 2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro (ISBI) https://doi.org/10.1109/ISBI.2009.5193034	conference	June 2009
Exact Reconstruction of Sparse Signals via Nonconvex Minimization Chartrand, Rick IEEE Signal Processing Letters, Vol. 14, Issue 10 https://doi.org/10.1109/LSP.2007.898300	journal	October 2007
An Introduction To Compressive Sampling Candes, E. J.; Wakin, M. B. IEEE Signal Processing Magazine, Vol. 25, Issue 2 https://doi.org/10.1109/MSP.2007.914731	journal	March 2008
Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information Candes, E.J.; Romberg, J.; Tao, T. IEEE Transactions on Information Theory, Vol. 52, Issue 2, p. 489-509 https://doi.org/10.1109/TIT.2005.862083	journal	February 2006
Compressed sensing Donoho, D. L. IEEE Transactions on Information Theory, Vol. 52, Issue 4 https://doi.org/10.1109/TIT.2006.871582	journal	April 2006
A General Framework for Sparsity-Based Denoising and Inversion Gholami, A.; Hosseini, S. M. IEEE Transactions on Signal Processing, Vol. 59, Issue 11 https://doi.org/10.1109/TSP.2011.2164074	journal	November 2011
A review of the adjoint-state method for computing the gradient of a functional with geophysical applications Plessix, R. -E. Geophysical Journal International, Vol. 167, Issue 2 https://doi.org/10.1111/j.1365-246X.2006.02978.x	journal	November 2006
Efficient waveform tomography for lithospheric imaging: implications for realistic, two-dimensional acquisition geometries and low-frequency data Brenders, A. J.; Pratt, R. G. Geophysical Journal International, Vol. 168, Issue 1 https://doi.org/10.1111/j.1365-246X.2006.03096.x	journal	January 2007
A correlation-based misfit criterion for wave-equation traveltime tomography: Correlation-based traveltime tomography Van Leeuwen, T.; Mulder, W. A. Geophysical Journal International, Vol. 182, Issue 3 https://doi.org/10.1111/j.1365-246X.2010.04681.x	journal	July 2010
Migration velocity analysis and waveform inversion Symes, William W. Geophysical Prospecting, Vol. 56, Issue 6 https://doi.org/10.1111/j.1365-2478.2008.00698.x	journal	November 2008
Blocky regularization schemes for Full-Waveform Inversion★: Blocky FWI Guitton, Antoine Geophysical Prospecting, Vol. 60, Issue 5 https://doi.org/10.1111/j.1365-2478.2012.01025.x	journal	April 2012
The Split Bregman Method for L1-Regularized Problems Goldstein, Tom; Osher, Stanley SIAM Journal on Imaging Sciences, Vol. 2, Issue 2 https://doi.org/10.1137/080725891	journal	January 2009
Total Generalized Variation Bredies, Kristian; Kunisch, Karl; Pock, Thomas SIAM Journal on Imaging Sciences, Vol. 3, Issue 3 https://doi.org/10.1137/090769521	journal	January 2010
Formation Velocity and Density—The Diagnostic Basics for Stratigraphic Traps Gardner, G. H. F.; Gardner, L. W.; Gregory, A. R. GEOPHYSICS, Vol. 39, Issue 6 https://doi.org/10.1190/1.1440465	journal	December 1974
Inversion of seismic reflection data in the acoustic approximation Tarantola, Albert GEOPHYSICS, Vol. 49, Issue 8 https://doi.org/10.1190/1.1441754	journal	August 1984
A strategy for nonlinear elastic inversion of seismic reflection data Tarantola, Albert GEOPHYSICS, Vol. 51, Issue 10 https://doi.org/10.1190/1.1442046	journal	October 1986
Nonlinear two‐dimensional elastic inversion of multioffset seismic data Mora, Peter GEOPHYSICS, Vol. 52, Issue 9 https://doi.org/10.1190/1.1442384	journal	September 1987
Elastic wave‐field inversion of reflection and transmission data Mora, Peter GEOPHYSICS, Vol. 53, Issue 6 https://doi.org/10.1190/1.1442510	journal	June 1988
Wave‐equation traveltime inversion Luo, Y.; Schuster, G. T. GEOPHYSICS, Vol. 56, Issue 5 https://doi.org/10.1190/1.1443081	journal	May 1991
A nonsplit complex frequency-shifted PML based on recursive integration for FDTD modeling of elastic waves Drossaert, Francis H.; Giannopoulos, Antonios GEOPHYSICS, Vol. 72, Issue 2 https://doi.org/10.1190/1.2424888	journal	March 2007
Three-dimensional frequency-domain full-waveform inversion with an iterative solver Plessix, René-Édouard GEOPHYSICS, Vol. 74, Issue 6 https://doi.org/10.1190/1.3211198	journal	November 2009
An overview of full-waveform inversion in exploration geophysics Virieux, J.; Operto, S. GEOPHYSICS, Vol. 74, Issue 6 https://doi.org/10.1190/1.3238367	journal	November 2009
Interpretation of AVO anomalies Foster, Douglas J.; Keys, Robert G.; Lane, F. David GEOPHYSICS, Vol. 75, Issue 5 https://doi.org/10.1190/1.3467825	journal	September 2010
A deconvolution‐based objective function for wave‐equation inversion Luo, Simon; Sava, Paul SEG Technical Program Expanded Abstracts 2011 https://doi.org/10.1190/1.3627773	conference	May 2012
Constrained full-waveform inversion by model reparameterization1 Guitton, Antoine; Ayeni, Gboyega; Díaz, Esteban GEOPHYSICS, Vol. 77, Issue 2 https://doi.org/10.1190/geo2011-0196.1	journal	March 2012
Regularized seismic full waveform inversion with prior model information Asnaashari, Amir; Brossier, Romain; Garambois, Stéphane GEOPHYSICS, Vol. 78, Issue 2 https://doi.org/10.1190/geo2012-0104.1	journal	March 2013
Simultaneous inversion of full data bandwidth by tomographic full-waveform inversion Biondi, Biondo; Almomin, Ali GEOPHYSICS, Vol. 79, Issue 3 https://doi.org/10.1190/geo2013-0340.1	journal	May 2014
Correlation-based reflection full-waveform inversion Chi, Benxin; Dong, Liangguo; Liu, Yuzhu GEOPHYSICS, Vol. 80, Issue 4 https://doi.org/10.1190/geo2014-0345.1	journal	July 2015
Adaptive waveform inversion: Theory Warner, Michael; Guasch, Lluís GEOPHYSICS, Vol. 81, Issue 6 https://doi.org/10.1190/geo2015-0387.1	journal	November 2016
Selective data extension for full-waveform inversion: An efficient solution for cycle skipping Wu, Zedong; Alkhalifah, Tariq GEOPHYSICS, Vol. 83, Issue 3 https://doi.org/10.1190/geo2016-0649.1	journal	February 2018
Application of optimal transport and the quadratic Wasserstein metric to full-waveform inversion Yang, Yunan; Engquist, Björn; Sun, Junzhe GEOPHYSICS, Vol. 83, Issue 1 https://doi.org/10.1190/geo2016-0663.1	journal	January 2018
Full-waveform inversion using seislet regularization Xue, Zhiguang; Zhu, Hejun; Fomel, Sergey GEOPHYSICS, Vol. 82, Issue 5 https://doi.org/10.1190/geo2016-0699.1	journal	June 2017
Interparameter trade-off quantification for isotropic-elastic full-waveform inversion with various model parameterizations Pan, Wenyong; Innanen, Kristopher A.; Geng, Yu GEOPHYSICS, Vol. 84, Issue 2 https://doi.org/10.1190/geo2017-0832.1	journal	March 2019
Improving full-waveform inversion by wavefield reconstruction with the alternating direction method of multipliers Aghamiry, Hossein S.; Gholami, Ali; Operto, Stéphane GEOPHYSICS, Vol. 84, Issue 1 https://doi.org/10.1190/geo2018-0093.1	journal	January 2019
Geologically constrained full-waveform inversion using an anisotropic diffusion based regularization scheme: Application to a 3D offshore Brazil dataset Lewis*, Winston; Amazonas, Daniela; Vigh, Denes SEG Technical Program Expanded Abstracts 2014 https://doi.org/10.1190/segam2014-1174.1	conference	August 2014
Hybrid Tikhonov + total-variation regularization for imaging large-contrast media by full-waveform inversion Aghamiry, H. S.; Gholami, A.; Operto, S. SEG Technical Program Expanded Abstracts 2018 https://doi.org/10.1190/segam2018-2996968.1	conference	August 2018
Multiparameter full-waveform inversion: Marine and land examples Plessix, R. E.; Milcik, P.; Rynja, H. The Leading Edge, Vol. 32, Issue 9 https://doi.org/10.1190/tle32091030.1	journal	September 2013
Constrained waveform inversion for automatic salt flooding Esser, Ernie; Guasch, Lluís; Herrmann, Felix J. The Leading Edge, Vol. 35, Issue 3 https://doi.org/10.1190/tle35030235.1	journal	March 2016
Constrained Total Generalized p-Variation Minimization for Few-View X-Ray Computed Tomography Image Reconstruction Zhang, Hanming; Wang, Linyuan; Yan, Bin PLOS ONE, Vol. 11, Issue 2 https://doi.org/10.1371/journal.pone.0149899	journal	February 2016
Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers Boyd, Stephen; Parikh, Neal; Chu, Eric https://doi.org/10.1561/2200000016	book	January 2011

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