Thin interbed AVA inversion based on a fast algorithm for reflectivity

Zoeppritz equations form the theoretical basis of most existing amplitude variation with incident angle (AVA) inversion methods. Assuming that only primary reflections exist, that is, the multiples are fully suppressed and the transmission loss and geometric spreading are completely compensated for,...

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Bibliographic Details
Published in:Acta geophysica Vol. 68; no. 4; pp. 1007 - 1020
Main Authors: Yang, Zhen, Lu, Jun
Format: Journal Article
Language:English
Published: Cham Springer International Publishing 01.08.2020
Springer Nature B.V
Subjects:
Algorithms
Approximation
Constraint modelling
Data processing
Earth and Environmental Science
Earth Sciences
Exact solutions
Geophysics/Geodesy
Geotechnical Engineering & Applied Earth Sciences
Jacobi matrix method
Jacobian matrix
Newton methods
Objective function
Parameters
Reflectance
Research Article - Applied Geophysics
Seismic surveys
Seismological data
Structural Geology
Transmission loss
Wave propagation
Wave reflection
Inversion
Fast algorithm
Thin interbed
Amplitude variation with incident angle
Reflectivity method
ISSN:1895-6572, 1895-7455
Online Access:Get full text
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Summary:Zoeppritz equations form the theoretical basis of most existing amplitude variation with incident angle (AVA) inversion methods. Assuming that only primary reflections exist, that is, the multiples are fully suppressed and the transmission loss and geometric spreading are completely compensated for, Zoeppritz equations can be used to solve for the elastic parameters of strata effectively. However, for thin interbeds, conventional seismic data processing technologies cannot suppress the internal multiples effectively, nor can they compensate for the transmission loss accurately. Therefore, AVA inversion methods based on Zoeppritz equations or their approximations are not applicable to thin interbeds. In this study, we propose a prestack AVA inversion method based on a fast algorithm for reflectivity. The fast reflectivity method can compute the full-wave responses, including the reflection, transmission, mode conversion, and internal multiples, which is beneficial to the seismic inversion of thin interbeds. A further advantage of the fast reflectivity method is that the partial derivatives of the reflection coefficient with respect to the elastic parameters can be expressed as analytical solutions. Based on the Gauss–Newton method, we construct the objective function and model-updating formula considering sparse constraint, where the Jacobian matrix takes the form of an analytical solution, which can significantly accelerate the inversion convergence. We validate our inversion method using numerical examples and field seismic data. The inversion results demonstrate that the fast reflectivity-based inversion method is more effective for thin interbed models in which the wave-propagation effects, such as interval multiples, are difficult to eliminate.
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ISSN:1895-6572
1895-7455
DOI:10.1007/s11600-020-00448-7