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本文用一种新的锥-节点离散算法,获得了程函方程的有限差分解,并精确地计算了初至波旅行时。该方法的精度超过常规网格-中心节点法。波前追踪算法是以最小旅行时树为基础的,它大大提高了效率。对常规离散方法而言,局部平方慢度的精确平均值对大慢度差模型数值算法的稳定,是至关重要的。采用一种以常规离散方法为基础的改进方法可以计算任意变速模型的旅行时,而这种方法是以锥形节点离散化方法为基础的,得到的解更好。
In this paper, by using a new cone-node discrete algorithm, the finite difference solution of the equation is obtained and the travel time of the first arrival wave is accurately calculated. The accuracy of this method surpasses that of the conventional mesh-center node method. The wavefront tracking algorithm is based on a tree with minimal travel time and greatly improves efficiency. For conventional discrete methods, the exact mean of the local squared slowness is crucial for the stability of the numerical algorithm for the large slowness difference model. An improved method based on the conventional discrete method can be used to calculate the travel time of an arbitrary speed model. This method is based on the cone node discretization method, and the solution obtained is better.