波前构建法研究现状

Research status of the wavefront construction method

波前构建法是一种能够快速计算地震波走时、射线路径及振幅的算法,该算法考虑从整个波场发出的射线族的追踪计算,为几何射线理论在勘探地震学中的应用带来了决定性的变化,使得能够同时计算成千上万条射线以及附在上面的走时和振幅成为可能.本文在收集、整理国内外研究现状的基础上,对波前构建法目前的应用介质模型、求解射线追踪方程组的算法、速度模型的光滑处理对地震波走时、路径及振幅的影响、新射线的插入标准、速度模型中非网格节点处速度及导数的插值算法以及波前非规则的四边形与规则的矩形网格节点之间相对定位及转换等6个方面来详细的讨论了波前构建法的研究现状.

The wavefront construction method is the fast and effective algorithm to calculate seismic wave traveltime, ray path and amplitude. It considers the calculation of the entire ray family emitted from the wave field source, and makes the application bottleneck of classical geometric ray theory （how to calculate thousands of rays, traveltime and amplitude attached to the rays fast and accurately） to be broken. In order to better understand the principles and implementation of wavefront construction method, this paper collect and collate research status published in recent year, we reriew the research status of this method from the following six aspects： the current application media models, solution algorithms for kinematical and dynamic ray tracing equations, the influence of smooth operator on travel times ray paths and amplitude, the standard of insertion of new rays, the interpolation algorithm of velocity and derivative of wavefront non-node and the relative position and property conversion between the nonregular quadrilateral grids of wavefront and rectangle grid point 6 aspects to detailed discussion of wavefront construction method. In order to provide ideas for future research.