利用接收函数对地壳各向异性进行加权最小二乘法拟合的迭代方法

Cong Ji, Zhouchuan Huang
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引用次数: 0

摘要

从接收函数(RF)观测到的 P-S 转换相位(即 Pms)的谐波变化包含地壳方位各向异性的信息。然而,这种谐波分析很容易受到低质量射频轨迹的影响,测量结果可能会产生误导。在此,我们提出了一种名为迭代加权最小二乘法(IWLS)的改进方法,以提取地壳的劈裂参数,并同时检索背方位变化的二叶和四叶分量。在 IWLS 方法中,对不同射频轨迹的质量和权重进行了适当估计。权重函数与 Pms 相位的尖锐程度和其他信号的模糊程度有关。我们进行了多次合成测试,IWLS 方法可以对较差的后方位覆盖、强噪声、弱 P 波方位各向异性和多各向异性层提供稳定的测量。我们将 IWLS 方法分别应用于青藏高原东南部和华北克拉通两个临时站点的观测数据。测量结果与之前的结果具有可比性,并提供了对地壳变形的洞察力。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
An iterative weighted least square fitting method for crustal anisotropy using receiver functions
The harmonic variation of the P-to-S converted phases (i.e. Pms) observed from receiver functions (RFs) includes information on crustal azimuthal anisotropy. However, this harmonic analysis is easily influenced by low-quality RF traces, and the measurements may be misleading. Here, we propose an improved method, named the Iterative Weighted Least-Square method (IWLS), to extract the splitting parameters of the crust and simultaneously retrieve the two-lobed and four-lobed components of back-azimuthal variation. The quality and weights of different RF traces are estimated properly in the IWLS method. The weight function is related to the sharpness of the Pms phase and the smearing of other signals. We conduct many synthetic tests, and the IWLS method provides stable measurements for poor back-azimuthal coverage, strong noise, weak P-wave azimuthal anisotropy, and multiple anisotropic layers. We apply the IWLS method to observational data from two temporary stations on the southeastern Tibetan Plateau and North China Craton, respectively. The measurements are comparable to previous results and provide insight into crustal deformation.
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