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

Feng, Zongcai; Huang, Lianjie

doi:10.1093/gji/ggab193

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

Journal Article · Wed May 19 00:00:00 EDT 2021 · Geophysical Journal International

DOI:https://doi.org/10.1093/gji/ggab193· OSTI ID:1797327

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

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

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.

View Journal Article

Sponsoring Organization:: USDOE

OSTI ID:: 1797327

Journal Information:: Geophysical Journal International, Journal Name: Geophysical Journal International Journal Issue: 1 Vol. 227; ISSN 0956-540X

Publisher:: Oxford University PressCopyright Statement

Country of Publication:: United Kingdom

Language:: English

References (44)

Numerical Optimization Nocedal, Jorge; Wright, Stephen J. Springer Series in Operations Research and Financial Engineering https://doi.org/10.1007/b98874	book	January 1999
Nonlinear elastic waveform inversion of land seismic reflection data Crase, Edward; Wideman, Charles; Noble, Mark Journal of Geophysical Research, Vol. 97, Issue B4 https://doi.org/10.1029/90JB00832	journal	January 1992
Multiparameter full waveform inversion of multicomponent ocean-bottom-cable data from the Valhall field. Part 2: imaging compressive-wave and shear-wave velocities Prieux, Vincent; Brossier, Romain; Operto, Stéphane Geophysical Journal International, Vol. 194, Issue 3 https://doi.org/10.1093/gji/ggt178	journal	June 2013
Correcting an acoustic wavefield for elastic effects Chapman, C. H.; Hobro, J. W. D.; Robertsson, J. O. A. Geophysical Journal International, Vol. 197, Issue 2 https://doi.org/10.1093/gji/ggu057	journal	March 2014
Least-squares reverse time migration in elastic media Ren, Zhiming; Liu, Yang; Sen, Mrinal K. Geophysical Journal International, Vol. 208, Issue 2 https://doi.org/10.1093/gji/ggw443	journal	November 2016
Multiparameter elastic full waveform inversion with facies-based constraints Zhang, Zhen-dong; Alkhalifah, Tariq; Naeini, Ehsan Zabihi Geophysical Journal International, Vol. 213, Issue 3 https://doi.org/10.1093/gji/ggy113	journal	March 2018
Acoustic- and elastic-waveform inversion with total generalized p-variation regularization Gao, Kai; Huang, Lianjie Geophysical Journal International, Vol. 218, Issue 2 https://doi.org/10.1093/gji/ggz203	journal	May 2019
Waveform inverstion of marine reflection seismograms for P impedance and Poisson's ratio Igel, Heinder; Djikpéssé, Hugues; Tarantola, Albert Geophysical Journal International, Vol. 124, Issue 2 https://doi.org/10.1111/j.1365-246X.1996.tb07026.x	journal	February 1996
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
An Extension of the born Inversion Method to a Depth Dependent Reference Profile* Bleistein, N.; Gray, S. H. Geophysical Prospecting, Vol. 33, Issue 7 https://doi.org/10.1111/j.1365-2478.1985.tb00794.x	journal	November 1985
Elastic full waveform inversion of multi-component OBC seismic data Sears, T. J.; Singh, S. C.; Barton, P. J. Geophysical Prospecting, Vol. 56, Issue 6 https://doi.org/10.1111/j.1365-2478.2008.00692.x	journal	November 2008
How thin is a thin bed? Widess, M. B. GEOPHYSICS, Vol. 38, Issue 6 https://doi.org/10.1190/1.1440403	journal	December 1973
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
Scattering characteristics of elastic waves by an elastic heterogeneity Wu, R.; Aki, K. GEOPHYSICS, Vol. 50, Issue 4 https://doi.org/10.1190/1.1441934	journal	April 1985
A simplification of the Zoeppritz equations Shuey, R. T. GEOPHYSICS, Vol. 50, Issue 4 https://doi.org/10.1190/1.1441936	journal	April 1985
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
Robust elastic nonlinear waveform inversion: Application to real data Crase, E.; Pica, A.; Noble, M. GEOPHYSICS, Vol. 55, Issue 5 https://doi.org/10.1190/1.1442864	journal	May 1990
Acoustic wave‐equation traveltime and waveform inversion of crosshole seismic data Zhou, Changxi; Cai, Wenying; Luo, Yi GEOPHYSICS, Vol. 60, Issue 3 https://doi.org/10.1190/1.1443815	journal	May 1995
Multiscale seismic waveform inversion Bunks, Carey; Saleck, Fatimetou M.; Zaleski, S. GEOPHYSICS, Vol. 60, Issue 5 https://doi.org/10.1190/1.1443880	journal	September 1995
1-D elastic waveform inversion: A divide‐and‐conquer approach Xia, Ganyuan; Sen, Mrinal K.; Stoffa, Paul L. GEOPHYSICS, Vol. 63, Issue 5 https://doi.org/10.1190/1.1444463	journal	September 1998
Multiparameter 𝓁 ₁ norm waveform fitting: Interpretation of Gulf of Mexico reflection seismograms Djikpéssé, Hugues A.; Tarantola, Albert GEOPHYSICS, Vol. 64, Issue 4 https://doi.org/10.1190/1.1444611	journal	July 1999
Amplitude and AVO responses of a single thin bed Liu, Yinbin; Schmitt, Douglas R. GEOPHYSICS, Vol. 68, Issue 4 https://doi.org/10.1190/1.1598108	journal	July 2003
Effects of shallow reflectors on amplitude versus offset (seismic lithology) analysis Gassaway, Gary S. SEG Technical Program Expanded Abstracts 1984 https://doi.org/10.1190/1.1894131	conference	March 2012
Depth-consistent reflection tomography using PP and PS seismic data Foss, Stig-Kyrre; Ursin, Bjørn; Hoop, Maarten V. de GEOPHYSICS, Vol. 70, Issue 5 https://doi.org/10.1190/1.2049350	journal	September 2005
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
The domain of applicability of acoustic full-waveform inversion for marine seismic data Barnes, Christophe; Charara, Marwan GEOPHYSICS, Vol. 74, Issue 6 https://doi.org/10.1190/1.3250269	journal	November 2009
Elastic full waveform inversion of multicomponent ocean-bottom cable seismic data: Application to Alba Field, U. K. North Sea Sears, Timothy J.; Barton, Penny J.; Singh, Satish C. GEOPHYSICS, Vol. 75, Issue 6 https://doi.org/10.1190/1.3484097	journal	November 2010
Elastic corrections to acoustic finite‐difference simulations Chapman, Chris; Hobro, James; Robertsson, Johan SEG Technical Program Expanded Abstracts 2010 https://doi.org/10.1190/1.3513472	conference	October 2010
Anisotropic 3D full-waveform inversion Warner, Michael; Ratcliffe, Andrew; Nangoo, Tenice GEOPHYSICS, Vol. 78, Issue 2 https://doi.org/10.1190/GEO2012-0338.1	journal	March 2013
Multicomponent joint migration velocity analysis in the angle domain for PP-waves and PS-waves Du, Qizhen; Li, Fang; Ba, Jing GEOPHYSICS, Vol. 77, Issue 1 https://doi.org/10.1190/geo2010-0423.1	journal	January 2012
Joint migration velocity analysis of PP- and PS-waves for VTI media Cai, Pengfei; Tsvankin, Ilya GEOPHYSICS, Vol. 78, Issue 5 https://doi.org/10.1190/geo2012-0416.1	journal	September 2013
A method for correcting acoustic finite-difference amplitudes for elastic effects Hobro, James W. D.; Chapman, Chris H.; Robertsson, Johan O. A. GEOPHYSICS, Vol. 79, Issue 4 https://doi.org/10.1190/geo2013-0335.1	journal	July 2014
Elastic reflection-based waveform inversion with a nonlinear approach Guo, Qiang; Alkhalifah, Tariq GEOPHYSICS, Vol. 82, Issue 6 https://doi.org/10.1190/geo2016-0407.1	journal	October 2017
Elastic least-squares reverse time migration Duan, Yuting; Guitton, Antoine; Sava, Paul GEOPHYSICS, Vol. 82, Issue 4 https://doi.org/10.1190/geo2016-0564.1	journal	July 2017
Elastic least-squares reverse time migration via linearized elastic full-waveform inversion with pseudo-Hessian preconditioning Chen, Ke; Sacchi, Mauricio D. GEOPHYSICS, Vol. 82, Issue 5 https://doi.org/10.1190/geo2016-0613.1	journal	September 2017
Wave-equation migration velocity analysis using plane-wave common-image gathers Guo, Bowen; Schuster, Gerard T. GEOPHYSICS, Vol. 82, Issue 5 https://doi.org/10.1190/geo2016-0653.1	journal	July 2017
Acoustic full-waveform inversion in an elastic world Agudo, Òscar Calderón; da Silva, Nuno Vieira; Warner, Michael GEOPHYSICS, Vol. 83, Issue 3 https://doi.org/10.1190/geo2017-0063.1	journal	May 2018
Multiparameter deblurring filter and its application to elastic migration and inversion Feng, Zongcai; Guo, Bowen; Schuster, Gerard T. GEOPHYSICS, Vol. 83, Issue 5 https://doi.org/10.1190/geo2017-0572.1	journal	September 2018
Joint PP and PS plane-wave wave-equation migration-velocity analysis Feng, Zongcai; Guo, Bowen; Huang, Lianjie GEOPHYSICS, Vol. 84, Issue 4 https://doi.org/10.1190/geo2018-0521.1	journal	July 2019
True-amplitude linearized waveform inversion with the quasi-elastic wave equation Feng, Zongcai; Schuster, Gerard GEOPHYSICS, Vol. 84, Issue 6 https://doi.org/10.1190/geo2019-0116.1	journal	November 2019
Imaging elastic media by corrections to acoustic propagation Veitch, Ben; Rickett, James; Hobro, James SEG Technical Program Expanded Abstracts 2012 https://doi.org/10.1190/segam2012-0431.1	conference	October 2012
Geophysical data and gradient translation using deep neural networks Yao, Jiashun; Guasch, Lluís; Warner, Mike SEG Technical Program Expanded Abstracts 2020 https://doi.org/10.1190/segam2020-3423766.1	conference	September 2020
A guided tour of multiparameter full-waveform inversion with multicomponent data: From theory to practice Operto, S.; Gholami, Y.; Prieux, V. The Leading Edge, Vol. 32, Issue 9 https://doi.org/10.1190/tle32091040.1	journal	September 2013

Similar Records

Compensating attenuation effects in full-waveform inversion with dissipation-dispersion decoupling

Journal Article · Mon Jul 24 00:00:00 EDT 2023 · Geophysics · OSTI ID:2418155

Elastic wave equation traveltime and waveform inversion of crosshole seismic data: Theory

Conference · Fri Dec 30 23:00:00 EST 1994 · OSTI ID:80276

Interparameter tradeoff quantification for isotropic-elastic full-waveform inversion with various model parameterizations

Journal Article · Mon Feb 04 19:00:00 EST 2019 · Geophysics · OSTI ID:1492537

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

Citation Formats

References (44)

Similar Records

Related Subjects