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Seismic modeling using the frozen Gaussian approximation

机译:冰冻高斯近似的地震建模

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We adopt the frozen Gaussian approximation (FGA) for modeling seismic waves. The FGA method belongs to the category of ray-based beam methods. It decomposes the seismic wavefield into a set of Gaussian functions and propagates these 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 in order to produce an accurate approximation after summation. We perform the initial decomposition of seismic data using a fast version of the FBI (Fourier-Bros-Iagolnitzer) 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.
机译:我们采用冰冻高斯近似(FGA)来建模地震波。 FGA方法属于基于射线的光束方法类别。它将地震波场分解成一组高斯函数,并沿着适当的光线路径传播这些功能。与经典的高斯光束方法相反,FGA将高斯在传播过程中冻结(在固定宽度下),并调节其幅度以在求和之后产生精确的近似。我们使用快速版本的FBI(傅里叶 - Bros-Iagolnitzer)变换来执行地震数据的初始分解,并使用射线跟踪在数值上传播冻高声梁。使用平滑的Marmousi模型的测试证实了FGA的有效性,以便精确建模的地震波场。

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