A fast algorithm for 3D azimuthally anisotropic velocity scan |
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| Authors: | Sergey Fomel Lexing Ying |
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| Institution: | 1. Bureau of Economic Geology and Department of Geological Sciences, Jackson School of Geosciencs, , The University of Texas at, Austin TX, USA;2. Department of Mathematics and Institute for Computational and Mathematical Engineering, Stanford University, Stanford, CA, USA |
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| Abstract: | The conventional velocity scan can be computationally expensive for large‐scale seismic data sets, particularly when the presence of anisotropy requires multiparameter scanning. We introduce a fast algorithm for 3D azimuthally anisotropic velocity scan by generalizing the previously proposed 2D butterfly algorithm for hyperbolic Radon transforms. To compute semblance in a two‐parameter residual moveout domain, the numerical complexity of our algorithm is roughly  as opposed to  of the straightforward velocity scan, with N being the representative of the number of points in a particular dimension of either data space or parameter space. Synthetic and field data examples demonstrate the superior efficiency of the proposed algorithm. |
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| Keywords: | 3D Velocity analysis Anisotropic parameter |
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