Double parameterized regularization inversion method for migration velocity analysis in transversely isotropic media with a vertical symmetry axis |
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Authors: | Caixia Yu Yanfei Wang Jingtao Zhao Zhenli Wang |
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Institution: | 1. Key Laboratory of Petroleum Resources Research, Institute of Geology and Geophysics, Chinese Academy of Sciences, , P.O. Box 9825 Beijing, 100029, P.R. China;2. University of Chinese Academy of Sciences, , Beijing, 100049 P.R. China;3. Research Institute of Petroleum Exploration & Development, , Beijing, 100083 P.R.China |
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Abstract: | 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 l2 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 l2 norm and the non‐smooth l1 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. |
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Keywords: | VTI media Migration velocity analysis Double parameterized regularization Quasi‐Newton method |
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