A fast algorithm for prestack Gaussian beam migration adopting the steepest descent approximation |
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Authors: | Zhenghui Gao Jianguo Sun Hui Sun Xu Sun Ping Yu Mingchen Liu |
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Institution: | 1.College of Geo-Exploration Science and Technology,Jilin University,Changchun,China;2.Engineering Training Center,Jilin University,Changchun,China |
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Abstract: | In the past, prestack Gaussian beam migration adopted the steepest descent approximation to reduce the dimension of the integrals and speed up the computation. However, the simplified formula by the steepest descent approximation was still in the frequency domain, and it had to be evaluated at each frequency. To solve this problem, we present a fast algorithm by changing the order of the integrals. The innermost integral is regarded as a two-dimensional continuous function with respect to the real part and the imaginary part of the total traveltime. A lookup table corresponding to the value of the innermost integral is constructed at the sampling points. The value of the innermost integral at one imaging point can be obtained through interpolation in the constructed lookup table. The accuracy and efficiency of the fast algorithm are validated with the Marmousi dataset. The application to the Sigsbee2A dataset shows a good result. |
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