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中文核心期刊

任意界面下的整体迭代射线追踪方法研究

A new total iterative ray-tracing method in random interface

  • 摘要: 研究了一种适用于任意界面下射线追踪的新方法——整体迭代射线追踪法。首先,从射线在整条路径上满足Fermat原理出发,通过采用一阶Taylor展开等办法,推出一个求取射线校正量的正定三对角矩阵方程,从而实现整条射线路径的整体迭代计算。当整条射线路径上的校正量达到一定的精度要求时,认为射线追踪过程结束。模型计算表明,本方法计算速度快,其精度可根据需要来确定。为任意界面的地震层析成像提供了一种有效的射线追踪方法。

     

    Abstract: A new ray-tracing method - total iterative ray-tracing method in random interface is studied. First, it starts from the fact that the ray-path satisfies the Fermat principle in the total ray-path, adjustment is obtained by a positive tridiagonal matrix equation which is reduced from one-order Taylor expansion. Further, total iterative ray-tracing is realized. When the adjustments on the total ray-path satisfy the preset precision, the procedure of the ray-tracing is completed. Numerical tests based on this method show that this algorithm is fast in the random interface velocity distribution and the results are accurate enough. At the mean time, travel time can be given in the procedure of ray-tracing. It offers a new efficient ray-tracing method for seismic tomography.

     

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