Global Optimizing Prestack Seismic Inversion Approach Using an Accurate Hessian Matrix Based on Exact Zoeppritz Equations

To increase the accuracy and vertical resolution of seismic inversion for exploratory purposes, a new method was developed for P-wave velocity, S-wave velocity, and density inversion using prestack seismic data based on the mayfly optimization algorithm (MA), exact Zoeppritz equations, and Bayesian...

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Bibliographic Details
Published in:IEEE transactions on geoscience and remote sensing 2024, Vol.62, p.1-16
Main Authors: Xu, Pengyu, Zhou, Huailai, Liu, Xingye, Zhou, Jie, Yang, Yuyong
Format: Article
Language:English
Subjects:
Accuracy
Accurate Hessian matrix
Algorithms
Bayesian analysis
Carbonate rocks
Carbonates
Coefficients
exact Zoeppritz equations
Hessian matrices
Jacobi matrix method
Jacobian matrices
Jacobian matrix
Linear programming
Marine mammals
Mathematical models
Matrix converters
mayfly optimization algorithm (MA)
Optimization
Optimization algorithms
P waves
prestack inversion
Probability theory
Reflection
Reflection coefficient
Rocks
S waves
Seismic data
Seismic surveys
Seismic velocities
Three dimensional models
Velocity
Wave reflection
Wave velocity
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Summary:To increase the accuracy and vertical resolution of seismic inversion for exploratory purposes, a new method was developed for P-wave velocity, S-wave velocity, and density inversion using prestack seismic data based on the mayfly optimization algorithm (MA), exact Zoeppritz equations, and Bayesian framework. A new form of an accurate Hessian matrix was successfully derived. We innovatively used the MA nonlinear amplitude variation with angle (AVA) inversion based on the accurate Hessian matrix (MANAI-Hessian) method for prestack seismic inversion and highlighted two main challenges for the first time. The popular and recent whale optimization algorithm (WOA) and a conventional Levenberg-Marquardt (LM) method were introduced to demonstrate the existence of these two challenges. Comprehensive partial derivative tests were well designed to verify the existence of the second-order partial derivatives of the P-wave reflection coefficients. A 3-D special wedge model was introduced to test the accuracy and vertical resolution of the new method. Next, we applied the proposed method to the field data of deep carbonate rock from a study area in China. Compared with the conventional LM method and the accurate Jacobian matrix-based nonlinear AVA inversion method, which provides foundational approaches to address the two main challenges, the proposed approach shows superior performance in terms of accuracy and vertical resolution.
ISSN:0196-2892
1558-0644
DOI:10.1109/TGRS.2024.3370302