Seismic modeling using the frozen Gaussian approximation

Xu Yang, Jianfeng Lu, Sergey Fomel
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引用次数: 9

Abstract

We adopt the frozen Gaussian approximation (FGA) for modeling seismic waves. The method belongs to the category of ray-based beam methods. It decomposes seismic wavefield into a set of Gaussian functions and propagates these Gaussian functions along appropriate ray paths. As opposed to the classic Gaussian-beam method, FGA keeps the Gaussians frozen (at a fixed width) during the propagation process and adjusts their amplitudes to produce an accurate approximation after summation. We perform the initial decomposition of seismic data using a fast version of the Fourier-Bros-Iagolnitzer (FBI) transform and propagate the frozen Gaussian beams numerically using ray tracing. A test using a smoothed Marmousi model confirms the validity of FGA for accurate modeling of seismic wavefields.
使用冻结高斯近似的地震建模
我们采用冻结高斯近似(FGA)来模拟地震波。该方法属于射线光束法的范畴。它将地震波场分解为一组高斯函数,并将这些高斯函数沿适当的射线路径传播。与经典的高斯光束方法相反,FGA在传播过程中保持高斯光束冻结(固定宽度),并调整其振幅以在求和后产生准确的近似值。我们使用傅立叶-布罗斯-伊格尔尼策(FBI)变换的快速版本对地震数据进行初始分解,并使用射线追踪对冻结的高斯光束进行数值传播。利用平滑Marmousi模型进行的试验证实了FGA对地震波场精确建模的有效性。
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