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Frequency-wavenumber elastic inversion of marine seismic data

Huasheng Zhao, Bjorn Ursin and Lasse Amundsen
Frequency-wavenumber elastic inversion of marine seismic data
Geophysics (December 1994) 59 (12): 1868-1881


We present an inversion method for determining the velocities, densities, and layer thicknesses of a horizontally stratified medium with an acoustic layer at the top and a stack of elastic layers below. The multioffset reflection response of the medium generated by a compressional point source is transformed from the time-space domain into the frequency-wavenumber domain where the inversion is performed by minimizing the difference between the reference data and the modeled data using a least-squares technique. The forward modeling is based on the reflectivity method where the solution for each frequency-wavenumber component is found by computing the generalized reflection and transmission matrices recursively. The gradient of the objective function is computed from analytical expressions of the Jacobian matrix derived directly from the recursive modeling equations. The partial derivatives of the reflection response of the stratified medium are then computed simultaneously with the reflection response by layer-recursive formulas.The limited-aperture and discretization effects in time and space of the reference data are included by applying a pair of frequency and wavenumber dependent filters to the predicted data and to the Jacobian matrix at each iteration. Numerical experiments performed with noise-free synthetic data prove that the proposed inversion method satisfactorily reconstructs the elastic parameters of a stratified medium. The low-frequency trends of the S-wave velocity and density are found when the initial P-wave velocity model gives approximately correct traveltimes. The convergence of the iterative minimization algorithm is fast.

ISSN: 0016-8033
EISSN: 1942-2156
Coden: GPYSA7
Serial Title: Geophysics
Serial Volume: 59
Serial Issue: 12
Title: Frequency-wavenumber elastic inversion of marine seismic data
Affiliation: Norwegian Institute of Technology, Division of Petroleum Engineering and Applied Geophysics, Trondheim, Norway
Pages: 1868-1881
Published: 199412
Text Language: English
Publisher: Society of Exploration Geophysicists, Tulsa, OK, United States
References: 23
Accession Number: 1995-021068
Categories: Applied geophysics
Document Type: Serial
Bibliographic Level: Analytic
Illustration Description: illus.
Secondary Affiliation: Statoil Research Centre, NOR, Norway
Country of Publication: United States
Secondary Affiliation: GeoRef, Copyright 2017, American Geosciences Institute. Reference includes data supplied by Society of Exploration Geophysicists, Tulsa, OK, United States
Update Code: 199508
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