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A fast and robust two-point ray tracing method in layered media with constant or linearly varying layer velocity

机译:层速度恒定或线性变化的分层介质中的快速鲁棒两点射线追踪方法

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摘要

A fast and robust method for two-point ray tracing in one-dimensional layered media is presented. This method is applicable to layered models with constant or linearly varying isotropic layer velocity. For given model properties and source and receiver positions, a ray path can be uniquely determined once its ray parameter (i.e. horizontal slowness) is known. The ray parameter can be obtained by numerically solving the nonlinear offset (i.e. source-receiver horizontal distance) equation using Newton's method, which generally works well at near and mid offsets. However, Newton's method becomes hard to converge at large offsets due to the oversensitivity of offset to ray parameter. Based on the analysis of the characteristic of the offset equation, a modified ray parameter is proposed and used to replace the generic ray parameter in numerical calculation. Numerical experiments show that the iteration process becomes stable and converges rapidly with the modified ray parameter. Moreover, a rational function that asymptotically approximates the shape of the offset equation is introduced for obtaining good initial estimates of the modified ray parameter. Numerical tests show that this method is robust in any situation, and an accurate ray parameter can be obtained within two or three iterations for a wide range of model velocity structure and source-receiver distance. Furthermore, the proposed two-point ray tracing method is easy to implement.
机译:提出了一种快速,鲁棒的一维分层介质中两点光线跟踪的方法。该方法适用于各向同性层速度恒定或线性变化的分层模型。对于给定的模型属性以及源和接收器位置,一旦知道其射线参数(即水平慢度),就可以唯一确定射线路径。可以通过使用牛顿法对非线性偏移(即源-接收器水平距离)方程进行数值求解来获得射线参数,该方法通常在近偏移和中偏移下工作良好。但是,由于偏移量对射线参数的敏感性过高,牛顿法很难在较大的偏移量处收敛。在对偏移方程特征进行分析的基础上,提出了修正后的射线参数,并用其代替了数值计算中的通用射线参数。数值实验表明,迭代过程变得稳定,并通过修改后的射线参数迅速收敛。此外,引入渐近地近似偏移方程的形状的有理函数,以获得修正的射线参数的良好的初始估计。数值测试表明,该方法在任何情况下均具有鲁棒性,并且对于较大范围的模型速度结构和源接收器距离,可以在两次或三次迭代中获得准确的射线参数。此外,所提出的两点射线追踪方法易于实现。

著录项

  • 来源
    《Geophysical Prospecting》 |2019年第7期|1811-1824|共14页
  • 作者

    Fang Xinding; Chen Xiaofei;

  • 作者单位

    Southern Univ Sci & Technol, Dept Earth & Space Sci, Shenzhen 518055, Guangdong, Peoples R China;

    Southern Univ Sci & Technol, Dept Earth & Space Sci, Shenzhen 518055, Guangdong, Peoples R China;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Rays; Modelling; Seismics;

    机译:光线;建模;地震;

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