skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Journal Article · · Geophysical Journal International
DOI:https://doi.org/10.1093/gji/ggab193· OSTI ID:1797327

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.

Sponsoring Organization:
USDOE
OSTI ID:
1797327
Journal Information:
Geophysical Journal International, Journal Name: Geophysical Journal International Vol. 227 Journal Issue: 1; ISSN 0956-540X
Publisher:
Oxford University PressCopyright Statement
Country of Publication:
United Kingdom
Language:
English

References (43)

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