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Source-independent seismic envelope inversion based on the direct envelope Frechet derivative

Zhang Pan, Ru-Shan Wu and Han Liguo
Source-independent seismic envelope inversion based on the direct envelope Frechet derivative
Geophysics (November 2018) 83 (6): R581-R595

Abstract

Seismic envelope inversion (EI) uses low-frequency envelope data to recover long-wavelength components of the subsurface media. Conventional EI uses the same waveform Frechet derivative as conventional full-waveform inversion. Due to linearization of the sensitivity operator (Born approximation), neither of these methods can yield good inversion results for media with strong preturbations, such as salt domes, when the source lacks low-frequency information. Because seismic envelope data contain large amount of ultra-low-frequency information and the direct envelope Frechet derivative maps envelope data perturbation directly to velocity perturbation, the direct envelope inversion (DEI) method (based on the direct envelope Frechet derivative) can handle such strong nonlinear inversion problems. However, this method is sensitive to source wavelet errors. We developed a source-independent DEI method. To achieve the source-independent objective function, we derive a convolution expression for the envelope data. We derive the gradient of the new objective function by using the direct envelope Frechet derivative. Numerical tests conducted on a 2D salt model indicate that our method can achieve good reconstruction of salt bodies (strong velocity perturbations) and recover low-velocity background structures (weak velocity perturbations), despite using an inaccurate source wavelet.


ISSN: 0016-8033
EISSN: 1942-2156
Coden: GPYSA7
Serial Title: Geophysics
Serial Volume: 83
Serial Issue: 6
Title: Source-independent seismic envelope inversion based on the direct envelope Frechet derivative
Affiliation: Jilin University, College of Geo-Exploration Science and Technology, Changchun, China
Pages: R581-R595
Published: 201811
Text Language: English
Publisher: Society of Exploration Geophysicists, Tulsa, OK, United States
Accession Number: 2019-006616
Categories: Applied geophysics
Document Type: Serial
Bibliographic Level: Analytic
Secondary Affiliation: University of California at Santa Cruz, USA, United States
Country of Publication: United States
Secondary Affiliation: GeoRef, Copyright 2019, American Geosciences Institute. Reference includes data supplied by Society of Exploration Geophysicists, Tulsa, OK, United States
Update Code: 201906
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