Wave equation least square imaging using the local angular Hessian for amplitude correction |
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| Authors: | Haoran Ren Ru‐Shan Wu Huazhong Wang |
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| Institution: | 1. School of Ocean and Earth Science, Tongji University, Siping Rd. 1239 Shanghai 200092, China;2. Department of Earth and Planetary Sciences, Institute of Geophysics and Planetary Physics, University of California, Santa Cruz, CA 95064, USA |
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| Abstract: | Local angular Hessian can be used to improve wave equation least square migration images. By decomposing the original Hessian operator into the local wavenumber domain or the local angle domain, the least square migration image is obtained as the solution of a linearized least‐squares inversion in the frequency and local angle domains. The local angular Hessian contains information about the acquisition geometry and the propagation effects based on the given velocity model. The inversion scheme based on the local angular Hessian avoids huge computation on the exact inverse Hessian matrix. To reduce the instability in the inversion, damping factors are introduced into the deconvolution filter in the local wavenumber domain and the local angle domain. The algorithms are tested using the SEG/EAGE salt2D model and the Sigsbee2A model. Results show improved image quality and amplitudes. |
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| Keywords: | Hessian Imaging Inversion Least‐squares Local angle domain |
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