Premium
Double parameterized regularization inversion method for migration velocity analysis in transversely isotropic media with a vertical symmetry axis
Author(s) -
Yu Caixia,
Wang Yanfei,
Zhao Jingtao,
Wang Zhenli
Publication year - 2014
Publication title -
geophysical prospecting
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.735
H-Index - 79
eISSN - 1365-2478
pISSN - 0016-8025
DOI - 10.1111/1365-2478.12117
Subject(s) - transverse isotropy , hessian matrix , inversion (geology) , parameterized complexity , mathematical analysis , seismic migration , conjugate gradient method , directional derivative , positive definiteness , mathematics , isotropy , geometry , geology , mathematical optimization , algorithm , physics , positive definite matrix , geophysics , optics , paleontology , eigenvalues and eigenvectors , structural basin , quantum mechanics
Simultaneous estimation of velocity gradients and anisotropic parameters from seismic reflection data is one of the main challenges in transversely isotropic media with a vertical symmetry axis migration velocity analysis. In migration velocity analysis, we usually construct the objective function using the l 2 norm along with a linear conjugate gradient scheme to solve the inversion problem. Nevertheless, for seismic data this inversion scheme is not stable and may not converge in finite time. In order to ensure the uniform convergence of parameter inversion and improve the efficiency of migration velocity analysis, this paper develops a double parameterized regularization model and gives the corresponding algorithms. The model is based on the combination of the l 2 norm and the non‐smooth l 1 norm. For solving such an inversion problem, the quasi‐Newton method is utilized to make the iterative process stable, which can ensure the positive definiteness of the Hessian matrix. Numerical simulation indicates that this method allows fast convergence to the true model and simultaneously generates inversion results with a higher accuracy. Therefore, our proposed method is very promising for practical migration velocity analysis in anisotropic media.