Frequency-domain elastic full waveform inversion using the new pseudo-Hessian matrix: Experience of elastic Marmousi-2 synthetic data SCIE SCOPUS

Cited 59 time in WEB OF SCIENCE Cited 81 time in Scopus
Title
Frequency-domain elastic full waveform inversion using the new pseudo-Hessian matrix: Experience of elastic Marmousi-2 synthetic data
Author(s)
Choi, Yunseok; Min, Dong-Joo; Shin, Changsoo
Publication Year
2008-10-01
Abstract
A proper scaling method allows us to find better solutions in waveform inversion, and it can also provide better images in true-amplitude migration methods based on a least-squares method. For scaling the gradient of a misfit function, we define a new pseudo-Hessian matrix by combining the conventional pseudo-Hessian matrix with amplitude fields. Because the conventional pseudo-Hessian matrix is assumed to neglect the zero-lag autocorrelation terms of impulse responses in the approximate Hessian matrix of the Gauss-Newton method, it has certain limitations in scaling the gradient of a misfit function relative to the approximate Hessian matrix. To overcome these limitations, we introduce amplitude fields to the conventional pseudo-Hessian matrix, and the new pseudo-Hessian matrix is applied to the frequency-domain elastic full waveform inversion. This waveform inversion algorithm follows the conventional procedures of waveform inversion using the backpropagation algorithm. A conjugate-gradient method is employed to derive an optimized search direction, and a backpropagation algorithm is used to calculate the gradient of the misfit function. The source wavelet is also estimated simultaneously with elastic parameters. The new pseudo-Hessian matrix can be calculated without the extra computational costs required by the conventional pseudo-Hessian matrix, because the amplitude fields can be readily extracted from forward modeling. Synthetic experiments show that the new pseudo-Hessian matrix provides better results than the conventional pseudo-Hessian matrix, and thus, we believe that the new pseudo-Hessian matrix is an alternative to the approximate Hessian matrix of the Gauss-Newton method in waveform inversion.
ISSN
0037-1106
URI
https://sciwatch.kiost.ac.kr/handle/2020.kiost/4436
DOI
10.1785/0120070179
Bibliographic Citation
BULLETIN OF THE SEISMOLOGICAL SOCIETY OF AMERICA, v.98, no.5, pp.2402 - 2415, 2008
Publisher
SEISMOLOGICAL SOC AMER
Subject
PRESTACK DEPTH-MIGRATION; FIELD INVERSION; REFLECTION DATA; GAUSS-NEWTON
Type
Article
Language
English
Document Type
Article
Publisher
SEISMOLOGICAL SOC AMER
Files in This Item:
There are no files associated with this item.

qrcode

Items in ScienceWatch@KIOST are protected by copyright, with all rights reserved, unless otherwise indicated.

Browse