We present a numerical method for computing the first arrival travel-times of seismic waves in media defined by a general Hooke tensor, in contrast with previous methods which are limited to a specific subclass of anisotropic media, such as “tilted transversally isotropic” (TTI) media or “tilted orthorhombic” (TOR) media in Waheed et al. (G 80: 49-58, 2015), Bouteiller et al. (GJlI 212: 1498-1522, 2017). Our method proceeds in a single pass over the discretized domain, similar to the fast marching method, whereas existing methods for these types of anisotropy require multiple iterations, similar to the fast sweeping method. We introduce a new source factorization model, making it possible to achieve third-order accuracy in smooth media. We also validate our solver by comparing it with the solution of the elastic wave equation in a 3D medium with general anisotropy.

我们提出了一种计算地震波在由一般胡克张量定义的介质中的首次到达旅行时间的数值方法，与以前的方法相反，这些方法仅限于各向异性介质的特定子类，例如“倾斜横向各向同性”（TTI） ) 介质或 Waheed 等人的“倾斜正交”(TOR) 介质。(G 80: 49-58, 2015)，Bouteiller 等人。(GJlI 212: 1498-1522, 2017)。我们的方法在离散域上进行单次传递，类似于快速行进方法，而这些类型的各向异性的现有方法需要多次迭代，类似于快速扫描方法。我们引入了一种新的源分解模型，可以在平滑媒体中实现三阶精度。